The standard deviation of all the average cholesterol levels we get will be close to 15 mg/dl.
The standard deviation of the average cholesterol levels will be given by the standard error of the mean, which is calculated as
standard error of the mean = standard deviation / sqrt(sample size)
In this case, the sample size is 4, so we have
standard error of the mean = 30 / sqrt(4) = 15
Therefore, if we take many samples of 4 fourteen-year-old boys and average their cholesterol levels, the standard deviation of all the average cholesterol levels we get will be close to 15 mg/dl.
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the chance a 1-km segment of railroad track contains a defect is 0.01. assume the 1-km segments of track are independent. a. compute the probability that exactly 125 km of track need to be tested before a defect is found. b. on average, how many 1-km segments of railroad track have to be tested before a defect is found?
a. The probability that exactly 125 km of track need to be tested before a defect is found is approx 0.005186, or about 0.52%,
b. Before a defect is discovered, 100 1-km segments of railroad track need to be tested.
a. To compute the probability that exactly 125 km of track need to be tested before a defect is found, we can use the geometric distribution. The geometric distribution models the number of independent and identically distributed trials needed to achieve the first success. In this case, a success is finding a defective 1-km segment of track.
The probability of finding a defect on any given 1-km segment is 0.01, so the probability of not finding a defect on any given segment is 0.99. Therefore, the probability of finding the first defect on the 125th 1-km segment tested is:
P(X = 125) = (0.99)^124 * 0.01
Where X is the number of 1-km segments tested before the first defect is found.
Using a calculator, we can evaluate this probability to be approximately 0.005186, or about 0.52%.
b. The expected value of the geometric distribution is given by:
E(X) = 1/p
Where p is the probability of success on any given trial. In this case, p = 0.01, so:
E(X) = 1/0.01 = 100
Therefore, on average, 100 1-km segments of railroad track need to be tested before a defect is found.
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Please help me with these maths problems on return of investments PLEASE
The answer of the given question based on Return on Investment is (a) 19.64% , (b) $51,575 , (c) -28.30% , (d) $42,000.
What is Investment?Investment is the act of allocating resources, like money, time, or effort, with the expectation of generating a return or profit in the future. Investment can take many forms, including purchasing stocks, bonds, mutual funds, real estate, or other financial assets.
The main goal of investment is to grow wealth over time by generating returns that exceed the rate of inflation. There are several types of investment strategies, such as value investing, growth investing, income investing, and diversification, that investors can use to achieve their financial goals.
a. ROI = (final value - initial value)/initial value * 100%
ROI = (67000 - 56000)/56000 * 100% = 19.64%
b. ROI = (final value - initial value)/initial value * 100%
$24,756 = 48% * initial value
initial value = $24,756 / 0.48 = $51,575
c. ROI = (final value - initial value)/initial value * 100%
ROI = ($62.56 - $87.24)/$87.24 * 100% = -28.30%
The negative ROI indicates a loss in investment.
d. The lowest price is $25 and the highest price is $67, so the total return on investment is:
Total Return = 1000 shares * ($67 - $25) = $42,000.
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Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data.
a)x-valuesResiduals
A scatterplot with horizontal axis labeled "x-values" and vertical axis labeled "Residuals" contains points that appear randomly distributed.
b)x-valuesResiduals
A scatterplot with horizontal axis labeled "x-values" and vertical axis labeled "Residuals" contains points whose general pattern is a curve that falls and then rises from left to right.
c)x-valuesResiduals
A scatterplot with horizontal axis labeled "x-values" and vertical axis labeled "Residuals" contains points that have a wide vertical range on the left side of the plot and which become more and more tightly clustered from left to right. Points on the right side of the graph tightly follow the path of a horizontal line.
Question content area bottom
(a) Choose the best answer for residuals plot (a).
A The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases
as the values of the explanatory variable increases.
OB. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power increases
as the values of the explanatory variable increases.
Oc. The scattered residuals plot indicates an appropriate linear model.
h
(b) Choose the best answer for residuals plot (b).
OA. The scattered residuals plot indicates an appropriate linear model.
OB. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship
is not linear.
Oc. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases
as the values of the explanatory variable increases.
Answer:
(a) The best answer for residuals plot (a) is:
A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.
A fanned pattern in the residuals plot suggests that the linear model is not appropriate because the variability of the residuals increases as the values of the explanatory variable increases. This indicates that the linear model is not capturing all the important features of the data and may not be the best fit for the data.
(b) The best answer for residuals plot (b) is:
B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear.
A curved pattern in the residuals plot suggests that the linear model is not appropriate because the relationship between the variables is not linear. This indicates that the linear model is not capturing all the important features of the data and may not be the best fit for the data.
Question content area top
Part 1
Point B has coordinates (3,1). The x-coordinate of point A is -3. The distance between point A and point B is units. What are the possible coordinates of point A?
We have two possible values for y, we have two possible Coordinates for point A: (-3, 1 + √((units)² - (3 - (-3))²)) and (-3, 1 - √((units)² - (3 - (-3))²)).
Here are the terms and steps we'll use in the solution:
1. Point B coordinates: (3, 1)
2. Point A x-coordinate: -3
3. Distance formula: √((x2 - x1)² + (y2 - y1)²)
Let's find the possible coordinates of point A:
Step 1: We know the x-coordinate of point A is -3, so its coordinates will be in the form (-3, y).
Step 2: Apply the distance formula to find the distance between point A (-3, y) and point B (3, 1):
Distance = √((3 - (-3))² + (1 - y)²)
Step 3: Square the distance equation to eliminate the square root:
Distance² = (3 - (-3))² + (1 - y)²
Step 4: Plug in the given distance value and solve for y:
(units)² = (3 - (-3))² + (1 - y)²
Step 5: Solve for (1 - y)²:
(1 - y)² = (units)² - (3 - (-3))²
Step 6: Take the square root of both sides:
1 - y = ±√((units)² - (3 - (-3))²)
Step 7: Solve for y:
y = 1 ±√((units)² - (3 - (-3))²)
Since we have two possible values for y, we have two possible coordinates for point A: (-3, 1 + √((units)² - (3 - (-3))²)) and (-3, 1 - √((units)² - (3 - (-3))²)).
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an a-frame tent is in the shape of an isosceles triangle. the base of the triangle is 7 ft and the two congruent sides are each 6 ft. what is the height of the tent
The height of the tent is approximately 4.87 feet.
To find the height of the tent, we need to first determine the length of the altitude (perpendicular line) drawn from the apex (top point) of the triangle to the base. Let's call this length "h".
We can use the Pythagorean theorem to find "h". Let's draw a line from the apex of the triangle to the midpoint of the base, which will split the isosceles triangle into two congruent right triangles. Then we have
h^2 + (7/2)^2 = 6^2
h^2 + 49/4 = 36
h^2 = 36 - 49/4
h^2 = 95/4
h = sqrt(95)/2
h ≈ 4.87 ft
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if the absolute value of your calculated t-statistic exceeds the critical value from the standard normal distribution, you can: conclude that most of the actual values are very close to the regression line. reject the assumption that the error terms are homoskedastic. reject the null hypothesis. safely assume that your regression results are significant.
Answer:
Saanvi recorded the number of math problems she did for homework each night for 10 days.
Step-by-step explanation:
the ratio h:m is 5:4 and the ratio m:t is 3:2. write the ratio h:m:t in its simplest form
The ratio of h:m:t in its simplest form is 15:12:8.To find the ratio of h:m:t, we need to use the given ratios h:m = 5:4 and m:t = 3:2 and simplify them to express them in terms of h, m, and t.
From the ratio h:m = 5:4, we can write:
m = (4/5)h
Similarly, from the ratio m:t = 3:2, we can write:
t = (2/3)m
Substituting the value of m from the first equation into the second equation, we get:
t = (2/3)(4/5)h
Simplifying this expression, we get:
t = (8/15)h
Therefore, the ratio of h:m:t can be expressed as:
h : m : t = h : (4/5)h : (8/15)h
Simplifying this ratio by multiplying all the terms by the least common multiple of the denominators (15), we get:
h : m : t = 15h : 12h : 8h
Simplifying further by dividing all the terms by the greatest common factor (h), we get:
h : m : t = 15 : 12 : 8
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suppose people end up tossing 10% of what they buy at the grocery store. assume this is the true population proportion and that you plan to take a sample survey of 90 grocery shoppers to further investigate their behavior. 4. calculate the probability that your survey will provide a sample proportion within 0.05 of the population proportion. (i.e., /- 0.05).
The probability that your survey will provide a sample proportion within 0.05 of the population proportion = 0.8818
Here, people end up tossing 10% of what they buy at the grocery store
So, the probability of occurance P = 0.1
q = 1 - p
q = 1 - 0.1
q = 0.9
Also, the sample size (n) = 90
Now the standard error of the distribution of sample means would be,
s = [tex]\sqrt{\frac{p\times q}{n} }[/tex]
s = 0.032
We need to calculate the probability that your survey will provide a sample proportion within 0.05 of the population proportion.
z₁ = (-0.05)/(0.032)
z₁ = -1.5625
z₂ = (+0.05)/(0.032)
z₂ = +1.5625
p(z-score between -1.5625 and +1.5625) = 0.8818
Therefore the required probability is 0.8818
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averigua los numeros que faltan en la siguiente adiccion
3_08_+_59_4= 94058
The Answer would be
38084
+ 55974
=94058
Mrs. Cook purchased 200 zinnia plants for $23. One month later, she purchased 500 zinnia plants for $35. What was the cost per zinnia plant?
Responses
$0.04
$0.40
$0.25
$25
The cost per zinnia plant is $0.04.
What is the cost price?
The precise value that corresponds to the unit price paid is represented by the cost price. In some stock market theories, this value is utilized to establish the value of stock holdings and is used as a key determinant of profitability.
Here, we have
Given: Mrs. Cook purchased 200 zinnia plants for $23. One month later, she purchased 500 zinnia plants for $35.
We have to find the cost per zinnia plant.
To find the cost per zinnia plant, derive two points from the info given which are:
(200, 23) and (500, 35)
The slope = cost per zinnia plant = 35 - 23 / 500 - 200
= 12/300
= $0.04.
Hence, the cost per zinnia plant is $0.04.
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divide the length of the hypotenuse of triangle ABC by the length of one of its sides divide the length of the hypotenuse of triangle ACD by the length of one of its sides make a conjecture that explains the results
Therefore , the solution of the given problem of triangle comes out to be h/s = h/√(h² - s²)..
A triangle is exactly what?If a polygon has at least one additional segment, it is a hexagon. Its form is a straightforward rectangle. Something like this can only be distinguished from a regular triangular by edges A and B. Euclidean geometry only creates a portion of the cube, despite the precise collinearity of the borders. A triangular has three sides and three angles.
Here,
Triangle ABC and triangle ACD are both right triangles with a common hypotenuse, as shown by the given diagram.
Let's write the lengths of the sides AB or AD as s and the hypotenuse AC as h. (since both triangles have a common side with length s).
The Pythagorean formula can now be used to determine the length of each triangle's third side:
Triangle ABC's third side's length (BC) can be calculated using this formula:
=> BC = √(h² - s²).
The third side's (CD) length in the triangle ACD is also determined by:
=> CD = √(h² - s²).
By dividing each triangle's hypotenuse's (h) length by one of its sides' (s) lengths, the following result is obtained:
In the triangular ABC,
=> h/s = h/ √(h² - s²).
In the triangular ACD
=> h/s = h/√(h² - s²).
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I need somebodys help quickly please!
(look at the attachment it shows the math equation).
Answer: x = -2
Step-by-step explanation: -2 is the answer because -2 to the 3rd power is -8. Hence, 8 * -8 = -64 as the solution.
Give a %95 confidence interval for the true proportion of those from their entire mailing list who may donate.
A 95% confidence interval for the true proportion of those from their entire mailing list who may donate is between 0.244 and 0.356 based on a random sample of 500 people where 150 may donate.
To give a 95% confidence interval for the true proportion of those from their entire mailing list who may donate, we need to know the sample proportion and the sample size. Let's assume that a random sample of 500 people from the mailing list was selected, and 150 of them indicated that they may donate.
The sample proportion is:
p = 150/500 = 0.3
To calculate the standard error of the proportion, we use the formula:
SE = sqrt(p(1-p)/n) = sqrt(0.3(1-0.3)/500) = 0.0288
To find the 95% confidence interval, we use the formula:
CI = p ± z*SE
where z is the z-score corresponding to a 95% confidence level, which is 1.96.
Substituting the values, we get:
CI = 0.3 ± 1.96*0.0288
CI = (0.244, 0.356)
Therefore, we can say with 95% confidence that the true proportion of those from their entire mailing list who may donate is between 0.244 and 0.356.
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"Suppose a nonprofit organization is planning a fundraising campaign and has a mailing list of 10,000 potential donors. The organization plans to randomly sample 500 people from the list and ask them to donate. They expect that 20% of those who are sampled will donate. Give a %95 confidence interval for the true proportion of those from their entire mailing list who may donate."
The graph shown can be used to
convert between gallons and litres.
a) Convert 11 gallons to litres.
50
litres
=
b) Convert 40 litres to gallons.
8.8
gallons
A tank has a volume of 120000 cm³.
1 litre 1000 cm
c) What is the capacity of this tank
in gallons?
I gallons
Litres
80
70
60
50
40
30
20
10
0
2
4
6
8 10 12 14 16
Gallons
The volume of 11 gallons is 50 litres.
The volume of 40 litres is 8.8 litres.
The capacity of the tank in gallons is 26.7 gallons
How to solve proportional graph?The graph of a proportional relationship is always a straight line through the origin.
Therefore, the graph is a relationship between the variables volumes in litres and gallons. The litres is on the y axis while the gallons is on the x axis.
Hence, let's use the graph to convert the volumes.
11 gallons = 50 litres
40 litres = 8.8 litres
A tank has a volume of 120, 000 cm cube.
1 litre = 1000 cm³
The capacity of the tank in gallons can be found as follows:
1000 cm³ = 1 litres
120,000 cm³= ?
volume in litres = 120,000 / 1000
volume in litres = 120 litres
From the graph,
36 litres = 8 gallons
120 litres = ?
cross multiply
volume in gallons = 120 × 8 / 36
volume in gallons = 960 / 36
volume in gallons = 26.6666666667
Therefore, the capacity of the tank in gallons is 26.7 gallons
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Answer:
a) 50 L
b) 8.8 gal
c) 26.4 gal
Step-by-step explanation:
Given a graph showing the relationship between (imperial) gallons and litres, you want equivalents for 11 gallons, 50 litres, and 120000 cm³.
a) 11 gallonsYou have correctly read the graph, which tells you 11 gallons is about 50 litres.
b) 40 litresYou have correctly read the graph, which tells you 40 litres is about 8.8 gallons.
c) 120,000 cm³You are told that 1000 cm³ is 1 litre, so 120,000 cm³ will be 120 litres.
You notice this is 3 times the volume of the previous question:
120 L = 3×(40 L) = 3×(8.8 gal) = 26.4 gal
120000 cm³ is about 26.4 gallons.
__
Additional comment
A more precise conversion of 120000 cm³ is 26.3963097959... gallons. The decimal has a very long repeat.
regularization parameters in an estimation procedure. what is regularization?
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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a very anti-social species of fish will be harvested at a constant rate h. the intrinsic growth rate for the fish population is. write the differential equation to model the growth rate for the fish population with harvesting
The logistic model shows how the growth of a population is limited by its environment.
The differential equation that models the growth rate for the fish population with harvesting when a very anti-social species of fish will be harvested at a constant rate h and the intrinsic growth rate for the fish population is is given below:$$\frac{dN}{dt}= rN - hN$$Where N is the population of fish, t is time, r is the intrinsic growth rate, and h is the rate of harvesting. The first term in the above equation represents the population growth rate, and the second term represents the population loss rate due to harvesting. The differential equation is also known as a logistic model or Verhulst model. The logistic model, on the other hand, takes into account limiting factors such as the population size and resources available.
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A χ2 statistic provides strong evidence in favor of the alternative hypothesis if its value is
A. a large negative number.
B. close to 1.
C. exactly 1.96
D. close to 0.
E. a large positive number.
Is this selection (A) the best one? a high positive number. The result of multiplying a negative number by a positive number is always negative.
The result of multiplying two numbers, whether they are positive or negative, is always positive. 3 plus 4 equals 12. The result is minus 12 since there is only one optimistic and one negative number.
Why does adding two negative numbers together results in a positive number?
Repeated subtraction equals multiplication by a negative. Negative numbers were reduced in negative value after they have been multiplied together. Students may easily relate both ideas thanks towards this comparison among both multiplication and addition.
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Can anybody help me with this?
dfghjklkjytrewqaASDCV
Answer:
]]] explanation:
3x-10/3x+1+4x+28/3x^2+10x+3= x+1/x+3 I can't get the right answer of the rational equation. I don't really get it yet so I need help to understand this better
Option t Suppose you have $150.00 with which to start a business. You have Exactly the skills and
training you have right now. What business will you start? How will you spend the money? What will you do
to make sure your business works? How would you advertise?
You can successfully begin a business that serves the requirements of expression your community by leveraging your existing skills and networks and investing in targeted marketing methods.
what is expression ?An expression in mathematics is a collection of representations, digits, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a combination of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the representation of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
Offering a service that leverages your existing talents and training is one suggestion for beginning a business with $150.00. For example, if you are a graphic designer, you may offer logo creation or other graphic design services to local small businesses or people. Instead, if you have experience with social media marketing, you might offer to handle small businesses' social media accounts.
Ultimately, launching a firm on a tight budget necessitates ingenuity and resourcefulness. You can successfully begin a business that serves the requirements of your community by leveraging your existing skills and networks and investing in targeted marketing methods.
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A coach collects the height and weight of 10 players on
the basketball team as shown in the table.
Height
(Inches)
76
70
68
69
69
65
66
67
74
Weight
(Pounds)
200
185
170
175
200
160
160
175
205
215
The equation of the least-squares regression line is
9-146.7+4.76x, where is the weight and x is the
height. Which show the residual plot?
Residual
20
15
10
6
0
-5
-15
-20
64
66
68 70 72 74 76 78
Height (Inches)
The graph that shows the residual plot for the height and weight of the 10 players is B. Graph B.
How to find the residual plot ?To find the residual plot, you need to use the data on height and weight of 10 players shown on the table, and compare it to figures you get from the formula given of y = -146.7 + 4.76 x.
Doing this, we find two residuals being:
x = 68
Predicted y = -146.7 + 4.76(68) = 175.88
Actual y = 170
Residual = Actual y - Predicted y = 170 - 175.88 = -5.88
x = 70
Predicted y = -146.7 + 4.76(70) = 185.3
Actual y = 185
Residual = Actual y - Predicted y = 185 - 185.3 = -0.3
These points of (68, - 5.88) and ( 70, - 0.3) tally with Graph B so this is the residual plot.
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Papa John's is offering a special on large pizzas. The advertisement reads "Purchase any large pizza at regular price and pay only $6 for each additional large pizza". If Ralph purchased 7 pizzas for $58 (tax free), writing your equation from problem #3 in slope intercept form, you find the regular price of the first large pizza Ralph purchased to be $____________________________. (Your answer should be a whole number, do not include the dollar symbol or a decimal)
Answer:
22
Step-by-step explanation:
To find out how much the other pizzas cost you need to do 7-1 because that is the other 6 pizzas not including the 1st pizza. Then multiply 6 x 6 because that is the total cost for the other pizzas after the first pizza bought. This means that the pizzas cost 36 dollars without the first pizza. Then do 58-36 for the first pizza cost which is 22 dollars. Therefore the regular price of the first large pizza is 22 dollars. If you were to write it in slope intercept form it would be Y=6x+16 {x[tex]\geq[/tex]1} with Y representing the cost and x representing the pizza. You would need a domain as if you were to buy 0 pizza it wouldn't mean that it would cost you 16 dollar. Which is why you want the domain to be greater than or equal to 1 because if you bought 1 pizza it would cost 22 dollars
selected a sample of 200 people in Wenatchee and observed that 63 prefer Taco Bell. At 0.05, is
there enough evidence to support his claim?
Justify your answer by stating what is
(a) the null hypothesis and alternative hypothesis. Explain what test (left-tailed, right-tailed or two-tailed)
you are using. Also find
(b) critical z-value (not the p-value!)
(c) test value
After answering the provided question, we can conclude thatAs a result, null hypothesis there is sufficient evidence to support John's claim that more than 25% of Wenatchee residents prefer Taco Bell.
What is null hypothesis?A null hypothesis is a type of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Sample data is used to assess the viability of theories. H0 represents what is referred to as "zero" on occasion. The researchers make the assumption that there may be a relationship between the factors. The null hypothesis, which is on the other hand, claims that no such relationship exists. Although it may not appear to be significant, the null hypothesis seems to be an important part of research.
(a) p = 0.25 for the null hypothesis
p > 0.25 is an alternative hypothesis.
To test this hypothesis, we can use the z-Test for proportion.
(b) \s(c) (c) The test value can be calculated using the z-Test for proportion formula:
(p - p) / (p(1-p)/n) = z
where p represents the sample proportion, p represents the hypothesised population proportion, and n represents the sample size.
p = 63/200 = 0.315, p = 0.25, and n = 200 in this case. When we enter these values into the formula, we get:
z = (0.315 - 0.25) / √(0.25 * 0.75 / 200) = 2.34
The result of the test is 2.34.
(d) Because the test value (2.34) is greater than the critical z-value (1.645), the null hypothesis is rejected. As a result, there is sufficient evidence to support John's claim that more than 25% of Wenatchee residents prefer Taco Bell.
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UV is tangent to OT. What is m< V?
UV is tangent to OT. The ∠v = 44°.
What is tangent?A line that only touches a circle or an ellipse at one point is said to be tangential in geometry. If a line contacts a curve at point P, that point is referred to as the point of tangency.
In other words, it is described as the line that, at that particular location, indicates the slope of a curve.
Given the circle in which the UV and UW are tangent to oT. To find m ∠V
∠v + ∠T = 180
∠v = 180° - 136°
∠v = 44°
Thus, the ∠v = 44°.
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Drag the tiles to the correct boxes to complete the pairs.
Two horizontal double-arrowed lines marked as q and p. A diagonal line is drawn marked as r and the points marked from A to G in both lines.A pair of parallel lines is cut by a transversal as shown in the figure. Match the angles with their corresponding angles.
A
H
C
F
D
arrowRight
G
arrowRight
E
arrowRight
B
arrowRight
The correct tiles that complete the pairs of corresponding angles are;
D [tex]\longrightarrow[/tex] H
G [tex]\longrightarrow[/tex] C
E [tex]\longrightarrow[/tex] A
B [tex]\longrightarrow[/tex] F
What are corresponding angles?
Corresponding angles are pairs of angles that are formed by the intersection of two parallel lines and a common transversal. The location of corresponding angles are in matching corners of the intersection such that their measures are equal. Corresponding angles are therefore, congruent.
The corresponding angles in the diagram included in the question are found in matching corners with regards to the common transversal and the parallel lines.
The corresponding angles in the figure are;
Angle ∠A corresponds to angle ∠E
Angle ∠B corresponds to angle ∠F
Angle ∠D corresponds to angle ∠H
Angle ∠C corresponds to angle ∠G
Therefore, we get;
D [tex]\longrightarrow[/tex] HG [tex]\longrightarrow[/tex] CE [tex]\longrightarrow[/tex] AB [tex]\longrightarrow[/tex] FLearn more on corresponding angles here: https://brainly.com/question/29174632
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Sidney and his cousin Jerry live in different cities. They are both traveling to their grandmother's house.
Answer:
4 hours
Step-by-step explanation:
riding the bus. sidney rode on a bus for 2 1/4 hours + another 1 3/4 hours.
together, this is 4 hours.
Benny stores his blocks in a huge cube-shaped bin. The bin has a width of 4 feet. Calculate the volume of the bin. Answer
The bin has a width of 4 feet. The volume of the bin is 1.587 or 2 cubic feet.
The volume of a cube defines the number of cube units the cube completely occupies. The volume unit of a cube is a cubic unit, such as cm³, meter³, inch³, foot³, etc.
A cube is a three-dimensional solid figure with 6 square faces or sides. The volume of the cube will be the total space it occupies. Since all the faces of a cube are square, the sides are also of equal length.
Therefore, the length, width, and height of a cube are equal.
If the length, width, and height of the cube are equal to 'a, then:
The volume of the cube = a × a × a = a³
According to the Question:
Volume of cube = (side)³ = a³
a³ = 4
a = ∛4
a = 1.587
≈ 2
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10. the probability of winning at the board game monopoly is 32.5% if you move first. if you play 20 games of monopoly where you move first, what is the probability that you win at least 10 out of 20 times?
The probability of winning the board game Monopoly is 32.5% if you move first. If you play 20 games of monopoly where you move first, the probability that you win at least 10 out of 20 times is 0.334.
Monopoly is a game of chance where the probability of winning changes depending on the variables. When you move first in a game of Monopoly, the probability of winning is 32.5%. If you play 20 games of Monopoly where you move first, you need to determine the probability of winning at least ten games.
We can determine this by using a binomial distribution. A binomial distribution is used to determine the probability of the number of successes or failures in a fixed number of independent trials.
The formula for the binomial distribution is:
P(X=k) = C(n,k) * p^k * (1-p)^(n-k)
Where:
P(X=k) = probability of k successes
n = number of trials
k = number of successes
p = probability of success
(1-p) = probability of failure
C(n,k) = the number of combinations of n things taken k at a time.
Using this formula, we can determine the probability of winning at least ten games of Monopoly out of twenty. We need to find the probability of winning exactly ten games, eleven games, twelve games, and so on, up to twenty games. We can then add these probabilities together to get the probability of winning at least ten games.
P(X>=10) = P(X=10) + P(X=11) + P(X=12) + ... + P(X=20)
P(X=k) = C(20,k) * 0.325^k * 0.675^(20-k)
Therefore, the probability that you win at least 10 out of 20 times is:
P(X>=10) = 0.334
Hence, the answer is 0.334.
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The right rectangular prism shown has a
volume of 115 cubic yards. What is the length
of the prism?
width is 2 1/2 and hight is 5 3/4
Therefore, the length of the rectangular prism is 16 yards.
How to find length of rectangular prism?To find the length of a rectangular prism, you need to measure the distance between its two opposite faces that are parallel to each other.
Here are the steps you can follow to find the length of a rectangular prism:
Identify the two opposite faces of the rectangular prism that are parallel to each other.
Choose one of these faces and measure its length using a ruler or tape measure. This will be the length of the rectangular prism.
If the rectangular prism is too large to measure directly, you can use a formula to calculate its length. The formula for finding the length of a rectangular prism is:
length = volume / (width x height)
To find the length of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is:
Volume = length x width x height
We are given that the width is 2 1/2 and the height is 5 3/4. We also know that the volume is 115 cubic yards. So, we can plug these values into the formula and solve for the length:
115 = length * 2.5 * 5.75
Dividing both sides by (2.5 x 5.75), we get:
length = 115 / (2.5 * 5.75)
length = 16
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