Regularization is a process of adding a penalty term to the error function in order to avoid overfitting in an estimation process.
The addition of a penalty term can prevent model overfitting and improve model generalization. Regularization is a technique that is used in many machine learning models, including regression, neural networks, and SVMs (Support Vector Machines).The regularization parameter, also known as the tuning parameter, controls the extent of the penalty added to the error function. A larger regularization parameter results in more aggressive regularization and a simpler model, while a smaller regularization parameter results in less aggressive regularization and a more complex model. The regularization parameter should be selected carefully to achieve a balance between model complexity and model performance.
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Some students were asked about their daily exercise.
12 more students answered Yes than answered No.
Complete the frequency tree.
___________________________
One of the 35 students who answered Yes is chosen at random .
What is the probability that they exercise for at least 1 hour?
So the minimum probability that a Yes respondent exercises for at least 1 hour is 6/(x+6), where x is the number of students who answered No.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in various fields such as mathematics, statistics, science, economics, and finance to model and analyze uncertain situations.
Here,
Let the number of students who answered No be x. Then the number of students who answered Yes is x+12. The total number of students is then x + (x+12) = 2x + 12.
Suppose y of the students who answered Yes exercise for at least 1 hour. Then the probability that a Yes respondent exercises for at least 1 hour is y/(x+12).
Since we don't have the full frequency tree, we can't determine y or x directly. However, we do know that the total number of students who exercise for at least 1 hour is greater than or equal to 12 (since there are 12 more Yes respondents than No respondents). Therefore, the probability that a Yes respondent exercises for at least 1 hour is y/(x+12) is at least 12/(2x+12) = 6/(x+6).
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5. A solid with volume 8 cubic units is dilated by a scale factor of k. Find the volume of the image for each given value of k. (Lesson 5-6)
a. k = 1/2
b. k = 0.6
c. k = 1
d. k = 1.5
The volume of the image after the dilation for given scale factor are:
a. k = 1/2: V = 4 cubic units
b. k = 0.6: V = 2.4 cubic units
c. k = 1: V = 8 cubic units
d. k = 1.5: V = 12 cubic units
Explain about the scale factor?The ratio between comparable analyses of an object and an identification of that object is known as a scale factor in mathematics. The copy will all be larger if the scaling factor is a complete number. A fractional scaling factor means that the duplicate will be smaller.
An expansion happens when the scaling factor's absolute value exceeds one.Compression happens when the scale factor's absolute value falls below one.When the scale factor's absolute value is 1, neither expansion nor compression take place.Volume of solid: 8 cubic units
a. k = 1/2
volume of the image : 1/2 *8 = 4 cubic units
b. k = 0.6
volume of the image : 0.6*8 = 2.4 cubic units
c. k = 1
volume of the image : 1*8 = 8 cubic units
d. k = 1.5
volume of the image : 1.5*8 = 12 cubic units
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Find f'(x), where f(x)= (2√x+1){(2-x)/(x^2+3x)}
The derivative of f(x) of (2√x+1){(2-x)/(x^2+3x)}, is f'(x) = (-x^3+5x+6)/[x(x+3)^2√x].
To find the derivative of the function f(x) = (2√x+1){(2-x)/(x^2+3x)}, we can use the product rule and the quotient rule.
First, let's find the derivative of (2-x)/(x^2+3x):
f1(x) = (2-x)/(x^2+3x)
f1'(x) = [(-1)(x^2+3x)-(2-x)(2x+3)]/(x^2+3x)^2
= (-x^2-3x-4x+6)/(x^2+3x)^2
= (-x^2-x+6)/(x^2+3x)^2
Next, let's find the derivative of 2√x+1:
f2(x) = 2√x+1
f2'(x) = 2(1/2√x) = 1/√x
Using the product rule, we get:
f'(x) = f1(x)f2'(x) + f2(x)f1'(x)
= [(2-x)/(x^2+3x)](1/√x) + (2√x+1)(-x^2-x+6)/(x^2+3x)^2
= (2-x)/(x^2√x+3x√x) - (x^2+4x-6)/(x^2+3x)^2√x
= (2-x)/(x(x+3)√x) - (x^2+4x-6)/(x^2+3x)^2√x
Simplifying the expression, we get:
f'(x) = [(2-x)(x^2+3x) - (x^2+4x-6)x]/[x(x+3)^2√x]
= (-x^3+5x+6)/[x(x+3)^2√x]
Therefore, the derivative of f(x) is:
f'(x) = (-x^3+5x+6)/[x(x+3)^2√x]
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Point B could represent which of the following numbers?
Answer:
5.9
Step-by-step explanation:
im assuming 5.9
not sure what your answer choices are but, its before 6, and way after 5.5, its like counting 123456789. hope this helps.
Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of hours ten boys watched television over the same period of time.
Television Viewing Hours for a One-Week Period
2 dots plots with number lines going from 0 to 10. Plot A has 0 dots above 0, 1, and 2, 1 above 3, 2 above 4, 2 above 5, 2 above 6, 2 above 7, 0 above 8 and 9, and 1 above 10. Plot B has 0 dots above 0, 1, and 2, 1 above 3, 2 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 dots above 8, 9 and 10.
Which statement correctly compares the measures of center in the two sets of data?
The correct statement that compares the measures of center in the two sets of data is:
The medians of the number of hours ten girls and ten boys watched television over a one-week period are approximately equal.
What is the median?
The median is a measure of central tendency that represents the middle value in a dataset when the values are arranged in numerical order. It is the value separating the higher half from the lower half of a sample or a population.
To compare the measures of center in the two sets of data, we need to find their respective medians.
For Plot A, we can see that the median is between 5 and 6, since there are 5 values below 5 and 5 values above 6. We can estimate the median as approximately 5.5 hours.
For Plot B, we can see that the median is between 5 and 6 as well, since there are 5 values below 5 and 5 values above 6. We can estimate the median as approximately 5.5 hours.
Therefore, the correct statement that compares the measures of center in the two sets of data is:
The medians of the number of hours ten girls and ten boys watched television over a one-week period are approximately equal.
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Two spheres have volumes of 8Ï€ cm3 and 64Ï€ cm3. if the surface area of the smaller sphere is 16Ï€ cm2, what is the surface area of the larger sphere? a. 64Ï€ cm2 b. 96Ï€ cm2 c. 128Ï€ cm2 d. 256Ï€ cm2
The surface area of the larger sphere is 64π cm². therefore option A. 64π cm² is correct.
To find the surface area of the larger sphere, given the volumes of two spheres and the surface area of the smaller sphere, follow these steps:
1. Determine the ratio of the volumes of the spheres:
Volume ratio = Volume of larger sphere / Volume of smaller sphere
= (64π cm³) / (8π cm³)
= 8
2. Find the cube root of the volume ratio to get the ratio of their radii:
Radii ratio = cube root of volume ratio = cube root of 8 = 2
3. Since the surface area of a sphere is proportional to the square of its radius, find the ratio of the surface areas by
squaring the radii ratio:
Surface area ratio = (Radii ratio)² = (2)² = 4
4. Finally, multiply the surface area of the smaller sphere by the surface area ratio to get the surface area of the larger
sphere:
Surface area of larger sphere = Surface area of smaller sphere × Surface area ratio
= 16π cm² × 4
= 64π cm²
So, the surface area of the larger sphere is 64π cm² (Option A).
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there is a 20% chance that a risky stock investment will end up in a total loss. if you invest in 25 independent risky stocks, what is the probability that fewer than six of these 25 stocks end up in total losses?
There is a 20% chance that a risky stock investment will end up in a total loss. If you invest in 25 independent risky stocks, the probability that fewer than six of these 25 stocks end up in total losses is approximately 0.91.
Given data:
Probability of getting a total loss in one investment = 20% = 0.20
Probability of not getting a total loss in one investment = 1 - 0.20 = 0.80
Number of investments = 25
We need to find the probability that fewer than six out of these 25 risky investments end up in total losses.
We will use the binomial distribution formula here:P(X < 6) = Σp(x) (from x = 0 to x = 5)
Here, Σ is the summation signp(x) = probability of x successes in 25 trials, which is given by the formula:
p(x) = [ nCx * p^x * (1-p)^(n-x)]
Where, n = number of trial
s = 25
p = probability of success = 0.80
q = probability of failure = 1 - p = 0.20n
Cx = n! / (x! × (n-x)!) = combination of n items taken x at a time
We need to substitute these values in the formula and calculate the probability:
P(X < 6) = Σp(x) (from x = 0 to x = 5)
P(X < 6) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)
P(X < 6) = [tex][25C0 * (0.80)^0 * (0.20)^25] + [25C1 * (0.80)^1 * (0.20)^24] + [25C2 * (0.80)^2 * (0.20)^23] + [25C3 * (0.80)^3 * (0.20)^22] + [25C4 * (0.80)^4 * (0.20)^21] + [25C5 * (0.80)^5 * (0.20)^20][/tex]
P(X < 6) ≈ 0.91
Therefore, the probability that fewer than six of these 25 stocks end up in total losses is approximately 0.91.
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An artist recreated a famous painting using a 4:1 scale. The dimensions of the scaled painting are 8 inches by 10 inches. What are the dimensions of the actual painting?
40 inches by 50 inches
32 inches by 40 inches
12 inches by 14 inches
2 inches by 2.5 inches
Answer:
32,40 in
Step-by-step explanation:
please
give brainliest
Mr Peterson bought a car for $1200. He spent money on repairing the car. He finally sold the car for $2100 at a profit of 16⅔ % on the cost of buying and repairing the car. Calculate the cost of repairing the car
The cost of repairing the car was $360 after selling the car at a profit of
16⅔ % on the cost of buying and repairing the car.
What is a profit?Profit is the financial gain that is earned by a business or an individual after all the expenses have been subtracted from the revenue. In simple terms, profit is what remains after all costs, including the cost of goods sold, operating expenses, taxes, and other charges, have been deducted from the revenue generated from the sale of goods or services.
According to the given informationLet's call the cost of repairing the car "x". We know that Mr. Peterson bought the car for $1200, spent x dollars on repairing it, and sold it for $2100 at a profit of 16⅔ % on the cost of buying and repairing the car.
We can start by calculating the total cost of buying and repairing the car, which is the sum of the initial cost and the cost of repairs:
Total cost = $1200 + x
Next, we can calculate the profit that Mr. Peterson made on this total cost, which is given as 16⅔ %:
Profit = (16⅔ %) × Total cost
Profit = (16⅔ / 100) × ($1200 + x)
We know that Mr. Peterson sold the car for $2100, so we can set up an equation for the profit:
Profit = Selling price - Total cost
(16⅔ / 100) × ($1200 + x) = $2100 - ($1200 + x)
Simplifying and solving for x, we get:
(5/6) x = $2100 - $1200 - (5/6)($1200)
(5/6) x = $450
x = $360
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the chance of rain on a given day in seattle is 70%. if it rains, the chance that a food truck will incur a loss on that day is 80%. if it does not rain, then the chance of loss is 10%. on a randomly chosen day if the food truck has not incurred a loss, what is the probability that it had not rained that day?
The probability of incurring a loss when it rains is:P (loss | raining) = 80%So, there is a 20% chance that the food truck will not have incurred a loss when it rains.
The P (not raining | not loss) = 90% × 30% = 27%.Thus, the probability that it had not rained on that randomly selected day given that the food truck did not incur a loss is 27%.
The chance of not raining on a given day in Seattle can be calculated as follows:When it does not rain, there is a 10% probability that the food truck will incur a loss, as given in the statement. Similarly, when it rains, there is an 80% chance that the food truck will incur a loss on that day.
To calculate the probability that the food truck will not have incurred a loss on that day, we must first calculate the probability that the food truck will have incurred a loss on that day.Suppose the probability of rain is 70%, so the chance that it won't rain will be: P (not raining) = 100% - 70% = 30%When it rains, there is a 80% probability that the food truck will have incurred a loss, as given in the statement.
The probability of not incurring a loss when it does not rain is:P (not loss | not raining) = 100% - 10% = 90%The probability of not raining when the food truck does not incur a loss can be calculated as follows:P (not raining | not loss) = P (not loss | not raining) × P (not raining)P (not loss | not raining) = 90%P (not raining) = 30%
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What is DE (Please answer with work and an explanation)
Answer:
(added to verbs and their derivatives) denoting removal or reversal.
Step-by-step explanation:
You roll one die. What is the probability that you roll a 6?
Answer:
1/6
16.667%
well in simple terms 16.6
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS ASAP <3
Answer:
Mohsin could be first, Yousuf could be second and luke could be third it doesn't matter really wich way roun it could be that yousuf is first or luke thirst.
Step-by-step explanation:
company xyz know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 16 years and a standard deviation of 1.4 years. find the probability that a randomly selected quartz time piece will have a replacement time less than 11.9 years?
The probability that a randomly selected quartz timepiece will have a replacement time less than 11.9 years is 0.0007 or 0.07%.
The given information is that a company XYZ knows that the replacement times for the quartz timepieces it produces are normally distributed with a mean of 16 years and a standard deviation of 1.4 years. We need to calculate the probability that a randomly selected quartz timepiece will have a replacement time of less than 11.9 years. Let us solve this problem using the standard normal distribution.
The standard normal distribution has a mean of 0 and a standard deviation of 1. We can convert the given distribution into the standard normal distribution using the formula:
z = (x - μ)/σ
Where x is the replacement time, μ is the mean and σ is the standard deviation.
Putting the given values, we get:
z = (11.9 - 16)/1.4
z = -3.21
We need to find the probability that the replacement time is less than 11.9 years. This can be calculated as the area under the standard normal distribution curve to the left of z = -3.21.
Using the standard normal distribution table, we find that the area to the left of
z = -3.21 is 0.0007.
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1/2 perecnt as decimal
Answer:
0.5
Step-by-step explanation:
trust me
FELICIA CREATED A FLOOR PLAN FOR A PLAY HOUSE AS SHOWN BELOW WHAT WILL BE THE PERIMETER AND AREA OF FELICIA PLAY HOUSE
The perimeter of Felicia's playhouse is 60ft, and its area is 144ft².
In order to determine the perimeter and area of Felicia's playhouse, we must first analyze the provided diagram:
There are two rectangles and a triangle, therefore we must calculate the area of each shape, and then add the areas together to get the total area.
Area of Rectangle A = lw = 8ft x 10ft = 80ft²
Area of Rectangle B = lw = 4ft x 10ft = 40ft²
Area of Triangle C = (1/2)bh = (1/2)(8ft)(6ft) = 24ft²
Total Area = Area of Rectangle A + Area of Rectangle B + Area of Triangle C = 80ft² + 40ft² + 24ft² = 144ft²
To determine the perimeter, we must add up the lengths of all four sides of the rectangle and the three sides of the triangle.
P = 2l + 2w + a + b + c
P = 2(10ft) + 2(8ft) + 6ft + 10ft + 8ft
P = 20ft + 16ft + 6ft + 10ft + 8ft
P = 60ft
Therefore, the perimeter of Felicia's playhouse is 60ft, and its area is 144ft².
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Question
Felicia created a floor plan for a playhouse, as shown below. 2 ft 23 ft 7 ft 8 ft 844 What will be the perimeter and area of Felicia's playhouse?
The volume of this cylinder is 465pi cubic units. What is the volume of a cone that has the same base area and the same height?
465 pi cubic units
155 pi cubic units
232. 5 pi cubic units
116. 25 pi cubic units
The volume of a cone that has the same base area and the same height as the cylinder is 116.25pi cubic units. This is because the volume of a cone is one-third the volume of a cylinder with the same base area and the same height. Therefore, the volume of the cone is 116.25pi cubic units.
The volume of a cylinder is equal to the area of the base, multiplied by the height. The volume of a cylinder with a base area of 465pi and a height of h is therefore 465pi*h. For a cone, the volume is equal to a third of the area of the base multiplied by the height. Since the cone and cylinder have the same base area and height, the volume of the cone is one third of the volume of the cylinder. Therefore, the volume of the cone is 155pi cubic units (465pi/3). A cone has one third the volume of a cylinder with the same base and height.
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please help with the following two questions :)
Answer:
10) -1.5
11) 1
Step-by-step explanation:
Hope this helps! Pls give brainliest!
A tower under construction in a rural municipality is 24 feet tall. A man of height 6 feet, standing on the same horizontal level of the tower, observes the top of the incomplete tower and finds the angle of elevation to be 30°.
(a) How high must the tower be raised so that the man finds the angle of elevation of the complete tower to be 60° from the same place?
(b) What will be the height of the tower after completing its construction work?
Step-by-step explanation:
Let's first draw a diagram to better visualize the problem:
* T (top of incomplete tower)
/|
/ |
/ |
/ | h (height of incomplete tower)
/ |
/ |
/θ1 |
/___ | M (man's position, height = 6 feet)
d
We can see that we have a right triangle with the tower's height as the opposite side, the distance between the man and the tower as the adjacent side, and the angle of elevation θ1 as 30°. We can use trigonometry to find the height of the incomplete tower:
tan(30°) = h / d
h = d * tan(30°)
We don't know the value of d, but we can use the fact that the man's height plus the height of the incomplete tower equals the distance from the man to the top of the incomplete tower:
d = h / tan(30°) + 6
Now we can use trigonometry again to find the height of the complete tower. Let's call this height H and the new angle of elevation θ2:
* T (top of complete tower)
/|
/ |
/ |
/ | H (height of complete tower)
/ |
/ |
/θ2 |
/___ | M (man's position, height = 6 feet)
d
We have another right triangle, this time with the height of the complete tower as the opposite side, the same distance between the man and the tower as the adjacent side, and the new angle of elevation θ2 as 60°. We can use the tangent function again:
tan(60°) = H / d
H = d * tan(60°)
We can substitute the value of d we found earlier:
H = (h / tan(30°) + 6) * tan(60°)
Simplifying:
H = h * sqrt(3) + 6 * sqrt(3)
(a) To find how high the tower must be raised, we subtract the height of the incomplete tower from the height of the complete tower:
raise = H - h
raise = h * (sqrt(3) - 1) + 6 * sqrt(3)
Substituting the value of h we found earlier:
raise = 24 * (sqrt(3) - 1) + 6 * sqrt(3)
raise ≈ 38.8 feet
(b) The height of the completed tower is simply the height of the incomplete tower plus the raise we found:
height = h + raise
height = 24 + 38.8
height ≈ 62.8 feet
Therefore, the height of the tower after completing its construction work is approximately 62.8 feet.
Step-by-step explanation:
See image and calcs below
a cube and a sphere both have volume 512 cubic units. which solid has a greater surface area? explain your reasoning.
If the cube and sphere both have volume as 512 cubic units, then the solid that has a greater surface area is Cube.
we first find the side length of the cube and the radius of the sphere.
The volume of the cube is 512 cubic units,
We have,
⇒ side³ = 512,
⇒ side = 8
So, the side length of the cube is 8 units.
Volume of sphere is also 512 cubic units,
We have,
⇒ (4/3)πr³ = 512,
On Simplifying,
We get,
⇒ r = 4.96 units.
So, radius of sphere is = 4.96 units.
Next we can find the surface area of each solid.
The surface-area of cube is = 6×(side)²,
⇒ 6(side²) = 6(8²) = 384 square units,
The surface area of the sphere is = 4πr²,
⇒ 4π(r²) = 4π(4.96²) ≈ 309 square units.
Therefore, the Cube has a greater surface area than the sphere.
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write two pairs of corresponding sides of two right triangles are congruent. are the triangles congruent? explain your reasoning.
The triangles can be congruent if the corresponding sides of two triangles are congruent except their hypotenuse, and the angle between the congruent corresponding sides between the the two angle is same.
When two pairs of corresponding sides of two right triangles are congruent, we cannot conclude that the triangles are congruent.
Congruent triangles are triangles that have identical dimensions and shape. Congruent figures have equal areas and corresponding sides that have the same lengths. They're exactly the same in terms of everything.
As a result, if two triangles are congruent, all of their corresponding sides and angles are equivalent to those in the other triangle.
A triangle with one 90-degree angle is referred to as a right-angled triangle. A right triangle has two legs and one hypotenuse.
The hypotenuse is the triangle's longest side, while the legs are the sides that make up the right angle.
The Pythagorean Theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides, is true for right triangles only.
The Side-Angle-Side (SAS) postulate is used to prove that two triangles are congruent. Two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle in this postulate.
Two triangles are congruent if and only if they have two corresponding sides and the included angle are equal.
Using the SAS postulate, we can only conclude that the two right triangles are congruent if we have two pairs of corresponding sides and the included angle between those sides.
As a result, if only two pairs of corresponding sides are congruent, it is not enough to demonstrate that the two triangles are congruent.
Hence when two pairs of corresponding sides of two right triangles are congruent, we cannot conclude that the triangles are congruent unless their hypotenuse are not equal and their angle between the congruent corresponding sides between the the two angle is same.
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Evaluate the double integral ∬D(x2+6y)dA, where D is bounded by y=x, y=x3, and x≥0.
The double integral ∬D(x2+6y)dA can be evaluated using the properties of integration. The value of the double integral is 53/60.
The given function is (x2+6y). Here, we will find the limits of integration for x and y. Given that D is bounded by y = x, y = x3, and x ≥ 0, we can represent this region in the x-y plane as follows: We see that the lower limit of y is x and the upper limit of y is x3. The lower limit of x is 0 and the upper limit of x is given by the line y=x.
Hence, the limits of integration can be written as follows:0 ≤ x ≤ yx ≤ y ≤ x3
Now, we can substitute these limits in the double integral and integrate first with respect to y and then with respect to x.
∬D(x2+6y)dA = ∫₀¹⁰∫x^x³(x2+6y)dydx
On integrating, we get
∬D(x2+6y)dA = ∫₀¹⁰(x³ - x^7/3 + 3x⁴)dx= [(1/4)x⁴ - (1/12)x^10/3 + (3/5)x⁵] from 0 to 1∬D(x2+6y)dA = (1/4 - 1/12 + 3/5) - (0 + 0 + 0) = 53/60
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find the equation of the parabola below:
The equation of the parabola that passes through (-4, 0) and (-2, 0) and has a touch point at (-3, -1) is: y = 4x² + 24x + 32.
What is an equation?
Since the parabola is symmetric with respect to the vertical line passing through the vertex (which is in the second quadrant), its axis of symmetry is the line x = -3.
Let's first find the vertex of the parabola. The x-coordinate of the vertex is simply the average of the x-coordinates of the two given points on the x-axis:
x = (-4 + (-2))/2 = -3
To find the y-coordinate of the vertex, we can use the fact that the vertex lies on the axis of symmetry. Therefore, it must also be the midpoint of the distance between the touch point (-3, -1) and the y-axis.
The distance between (-3, -1) and the y-axis is 3 units. Therefore, the y-coordinate of the vertex is:
y = -1 - 3 = -4
So the vertex of the parabola is V(-3, -4).
Since the parabola is open in the second quadrant and its vertex is in the second quadrant, its equation has the form:
y = a(x + 3)²- 4
where a is a positive constant that determines the "steepness" of the parabola.
To find the value of a, we can use one of the given points on the x-axis. Let's use (-2, 0):
0 = a(-2 + 3)² - 4
4 = a
Therefore, the equation of the parabola is:
y = 4(x + 3)² - 4
or
y = 4x² + 24x + 32
So the equation of the parabola that passes through (-4, 0) and (-2, 0) and has a touch point at (-3, -1) is:
y = 4x² + 24x + 32.
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Complete question is: The equation of the given parabola is: y = 4x^2 + 24x + 32.
When playing a game of poker, how many five card hands consist of no face cards at all? (Note: face cards include jacks, kings and queens.)
Answer:In a standard deck of 52 cards, there are 12 face cards (4 jacks, 4 queens, and 4 kings) and 40 non-face cards. To find the number of five card hands consisting of no face cards, we need to count the number of hands that include only non-face cards.
The number of ways to choose 5 non-face cards out of the 40 available non-face cards is:
C(40, 5) = (40!)/(5!35!) = 658,008
Therefore, there are 658,008 five card hands consisting of no face cards at all.
Step-by-step explanation:
Which of the following options have the same value as
30
%
30%30, percent of
81
8181?
Choose 3 answers:
Choose 3 answers:
Answer: 30, 30%, 8181
Step-by-step explanation:
Step 1: I looked at the question and saw that it was asking which of the given options had the same value as 30%30 and 81 8181.
Step 2: I looked at the list of options and saw that 30, 30%, and 8181 all had the same value as the given numbers.
Step 3: I chose those three options as my answer.
is this a supplement or congruent
Answer:
The angles are supplementary.
guys can anyone help me with my other SAT question"
The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time? (Note: Ignore the percent symbol when entering your answer. For example, if the answer is 42.1%, enter 42.1)
Answer: To solve this problem, we need to first find the average number of shoppers in the new store at any time and the average number of shoppers in the original store at any time, and then calculate the percent difference between the two.
Let's start by finding the average number of shoppers in the new store at any time. We know that 90 shoppers enter the store per hour, and each shopper stays for an average of 12 minutes, which is 0.2 hours. So the number of shoppers in the store at any time is:
90 shoppers/hour × 0.2 hours/shopper = 18 shoppers
Now let's find the average number of shoppers in the original store at any time. We don't have any information about the original store, so let's call the average number of shoppers in the original store "x". We want to find the percent difference between x and 18, so we need to calculate:
percent difference = |x - 18| / x × 100%
To solve for x, we need to use some algebra. We know that the number of shoppers entering the original store per hour is equal to the number of shoppers leaving the store per hour (assuming the store has a steady flow of shoppers and no one stays for more than an hour). So if we let t be the average amount of time each shopper stays in the original store, we can write:
x/t = shoppers entering the store per hour = shoppers leaving the store per hour = x/t
We can then solve for t:
x/t = x/t
x = x × t/t
x = t
So the average number of shoppers in the original store at any time is equal to the average amount of time each shopper stays in the store.
We don't know the average amount of time each shopper stays in the original store, but we can make an estimate based on the information we have about the new store. We know that the average amount of time each shopper stays in the new store is 12 minutes, or 0.2 hours. If we assume that the shopping behavior is similar in both stores, we can use this estimate for the original store as well.
So we have:
x = t = 0.2 hours
Now we can calculate the percent difference between x and 18:
percent difference = |x - 18| / x × 100%
percent difference = |0.2 - 18| / 0.2 × 100%
percent difference = 8800%
This means that the average number of shoppers in the new store at any time is 8800% less than the average number of shoppers in the original store at any time. However, this answer seems implausible, since a percent difference greater than 100% means that the new store has a negative number of shoppers!
It's possible that there was an error in the problem statement, such as a typo or a missing decimal point. If we assume that the average number of shoppers in the new store is actually 18 per hour (instead of 90 per hour), we get a more reasonable answer:
x = t = 0.2 hours
percent difference = |x - 18| / x × 100%
percent difference = |0.2 - 18| / 0.2 × 100%
percent difference ≈ 98%
So the average number of shoppers in the new store at any time is approximately 98% less than the average number of shoppers in the original store at any time.
Step-by-step explanation:
Find the ordered pair solutions for the system of equations. I just need the x’s and y’s please.
Answer: (-3, 18) and (-1, 18)
Step-by-step explanation:
Solve the system of equations. [tex]x^{2}[/tex] - 2x + 3 = -6x. [tex]x^{2}[/tex] + 4x + 3 = 0. (x+1)(x+3) = 0. x = -1, -3. Then plug it in. f(x) = 18.
for the angle α it is known that its reference angle has a sine value of 4/5 if the terminal ray of α, when drawn in standard position, falls in the third quadrant then what is the value of cos(α)
The terminal ray of α falls in the third quadrant (where cosine is negative), we can conclude that: cos(α) = -3/5.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to calculate the lengths of sides and angles in triangles, and to solve problems involving angles, distances, and heights. The three primary trigonometric functions are sine, cosine, and tangent, which describe the ratios of the sides of a right triangle. Other trigonometric functions include cosecant, secant, and cotangent, which are the reciprocals of the primary trig functions. Trigonometry has many applications in science, engineering, and technology, including astronomy, physics, navigation, and surveying.
Here,
Since the reference angle of α has a sine value of 4/5, we can use the Pythagorean identity sin²(θ) + cos²(θ) = 1 to find the cosine of the reference angle:
cos²(θ) = 1 - sin²(θ)
= 1 - (4/5)²
= 1 - 16/25
= 9/25
Taking the square root of both sides gives us:
cos(θ) = ± √(9/25)
= ± (3/5)
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55% of professionals in a large city participate in professional networking. one company surveyed their 980 employees, 500 reported they engage in professional networking. at the 0.05 level of significance, is there evidence that the proportion of members who engaged in a professional networking within the last month is different from the established percentage?
The null hypothesis rejected represents there is evidence the proportion of members engaged in professional networking within last month is different from established percentage.
Using a hypothesis test we have,
Let p be the proportion of employees in the company who engage in professional networking within the last month.
The null hypothesis represents,
The proportion of employees who engage in professional networking within the last month is equal to the established percentage of 55%.
H0: p = 0.55
The alternative hypothesis represents ,
The proportion of employees who engage in professional networking within the last month is different from 55%.
Ha: p ≠ 0.55
Use a two-tailed z-test for the proportion to test this hypothesis, with a significance level of 0.05.
The test statistic is,
z = (p₁ - p) / √(p(1-p)/n)
p₁ is the sample proportion
p is the hypothesized proportion
And n is the sample size.
Here,
p = 0.55
n = 980
p₁ = 500/980
= 0.51.
Substituting these values, we get,
z = (0.51 - 0.55) / √(0.55(1-0.55)/980)
= -1.96
The critical values for a two-tailed test with a significance level of 0.05 are ±1.96.
Since the test statistic (-1.96) falls within the critical region.
Reject the null hypothesis
Therefore, there is evidence that the proportion of employees who engage in professional networking within the last month is different from the established percentage of 55%.
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