Answer:
2/12
Step-by-step explanation:
There is a 1/6 chance of rolling a 3 once because there are six sides and only one 3, double that ratio if your want the probability of rolling that same number twice in a row.
Austin has a model car that uses a 1:24 scale. The real car’s hood is 20√5
inches long. How long is the model car’s hood? Give your answer as a simplified radical expression.
The length of the model car’s hood is 5√5 inches divided by 6, which is a simplified radical expression.
If the real car’s hood is 20√5 inches long and the model car uses a 1:24 scale, we can find the length of the model car’s hood by dividing the length of the real car’s hood by 24.
Length of model car’s hood = (Length of real car’s hood) / (Scale factor)
Substituting the given values, we get:
Length of model car’s hood = (20√5 inches) / 24
We can simplify this expression by dividing the numerator and denominator by the greatest common factor, which is 4:
Length of model car’s hood = (5√5 inches) / 6
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What is a valid signature do you need to be able to read it or what
Sincerly,
Xavier Martinez
Nope, and there's an stereotype on medical doctors that their signature is just a garbled or gibberish, which very often is true
these days we also have "digital signatures" you can include in an email, which are just encrypted material verifyable by some encryption keys, it varies but the leading ones are PGP and/or GPG types
so valid is one that's consistent, could be your fingerprint if you wish, and due to its consistency also verifyable.
Leo flips a fair coin and rolls a fair six-sided dice.
Draw a sample space diagram to show all the possible outcomes.
Work out the probability that he gets an outcome of heads and 4.
Give your answer as a fraction in its simplest form.
By answering the presented question, we may conclude that As a result, probability the chance of receiving heads and 4 is 1/12.
What is probability?Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% since there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many disciplines, including statistics, economics, science, and engineering.
Here is an example space diagram that depicts all of the possible outcomes when Leo flips a coin and rolls a dice:
Each row represents the outcome of rolling the dice, and each column indicates the outcome of flipping the coin. The table entries represent the combined outcome of rolling the dice and flipping the coin. For example, the occurrence of receiving heads on the coin flip and rolling a 1 on the dice is represented by the outcome in the top left corner (H1).
As a result, the chance of receiving heads and 4 is 1/12.
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If mzA + mzB = 180, then
mA and mzB are
classified as what kind of
angles?
Answer:
Step-by-step explanation:
yes yes no 180 which is an angle of time
Answer:
. yes no.180 is angle of time
(09.02) Alex wanted to understand whether grade level had any relationship to their opinion on extending the school day. She surveyed some students and displayed the results in the table below: In favor Opposed Undecided Grade 9 5 3 9 Grade 10 8 12 9 Grade 11 15 16 10 Grade 12 12 6 11 Compare P(Grade 12 | opposed) with P(opposed | Grade 12). (1 point) Group of answer choices P(Grade 12 | opposed) = P(opposed | Grade 12) P(Grade 12 | opposed) > P(opposed | Grade 12) P(Grade 12 | opposed) < P(opposed | Grade 12) There is not enough information.
When P(opposed | Grade 12) exceeds P(Grade 12 | opposed), the correct response is: P(opposed | Grade 12) P(opposed | Grade 12) (Option C)
what is permutation ?An arrangement of things in a particular order is known as a permutation in mathematics. In more detail, an arrangement of a set's members in a certain order is known as a permutation. To give one example, the set 1, 2, 3 contains six permutations: 1, 2, 3, 1, 2, 3, 1, and 3, 2, 1. The formula P(n, r) is frequently used to express permutations, which are the various methods to select r things from a group of n objects and arrange them in a particular order. P(n, r) has the following formula: P(n, r) equals n!/(n-r)! where the factorial of n is represented by n! (i.e., the product of all positive integers from 1 to n).
given
Using Bayes' theorem, we can contrast P(Grade 12 | opposed) with P(grade 12 | opposed):
Grade 12 opposition formula: P(opposed) = P(Grade 12 opposition) * P(opposed) / P (Grade 12)
The table contains the values we require:
P(grade twelve) = (12+6+11)/(5+3+9+8+12+9+15+16+10+12+6+11) = 0.15 P(opposition) = (3+12+16+6)/(5+3+9+8+12+9+15+16+10+12+6+11) = 0.5 P(opposition | grade twelve) = 6/(12+6+11) = 0.24
Although we do not directly know the value of P(Grade 12 | opposed), we can calculate it using the following formula:
P (12th grade | opposed) = P (12th grade | opposed) * P (12th grade | opposed) / P (12th grade | opposed) = 0.24 * 0.15 / 0.5 = 0.072
As a result, we have:
P (12th grade | opposed) = 0.072 P (12th grade | opposed) = 0.24
When P(opposed | Grade 12) exceeds P(Grade 12 | opposed), the correct response is: P(opposed | Grade 12) P(opposed | Grade 12) (Option C) .
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triangle on a graph at (-4,4) (-4,1) (-2,1) goes right 1 and down 5 and then reflect the triangle on the y axis
The final triangle has vertices at (3, -1), (3, -4), and (1, -4) on the graph.
Describe Transformation?In mathematics, a transformation refers to a function that maps points or shapes in one coordinate system to corresponding points or shapes in another coordinate system, while preserving certain properties such as size, shape, orientation, and distance.
Starting with the triangle on a graph with vertices at (-4, 4), (-4, 1), and (-2, 1), we can apply the given transformations as follows:
Go right 1 and down 5: This transformation corresponds to the function T(x, y) = (x + 1, y - 5). Applying this function to each vertex of the triangle, we get:
(-4, 4) -> (-3, -1)
(-4, 1) -> (-3, -4)
(-2, 1) -> (-1, -4)
Reflect on the y-axis: This transformation corresponds to the function R(x, y) = (-x, y). Applying this function to each vertex of the transformed triangle, we get:
(-3, -1) -> (3, -1)
(-3, -4) -> (3, -4)
(-1, -4) -> (1, -4)
Therefore, the final triangle has vertices at (3, -1), (3, -4), and (1, -4) on the graph.
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A square is inscribed in a circle as shown below. The radius of the circle is 7 inches, and the distance from the centers of the square and circle to the edge of the square is 5 inches. What is the area, in square inches, of the shaded region? Responses A. 14π – 100 A. 14π – 100 B. 14π – 25 B. 14π – 25 C. 49π – 100 C. 49π – 100 D. 49π – 25 D. 49π – 25 E. (72 – 52)π
the space is A there because A is the one
i have no idea how to get this and nothing is leading me in the right direction
Answer:
Expanding the function:
[tex](x+6)^4\\[/tex]
You should get this:
[tex]x^4+24x^3+216x^2+864x+1296[/tex]
Step-by-step explanation:
Hope it helps
I need help please 1. Neville Manley, the owner of American Realty Group, called and left a
message with the receptionist. He stated that he wanted the most economical
looring to the patio that covers the area. It's a 3.2 m x 5.0 m. covered patio.
What do you suggest for the Manley's project? Be sure to defend your
answer. Sketch the flooring project, show your calculation, and make your
explanation.
Using concrete pavers for the patio flooring is a cost-effective and durable option for Mr. Manley's project. Approximately 176 pavers will be needed to cover the 3.2 m x 5.0 m area of the patio.
Based on Mr. Manley's request for the most economical option for the patio flooring, I would suggest using concrete pavers. Concrete pavers are a durable and cost-effective option for outdoor flooring. They come in various shapes, sizes, and colors, allowing for a range of design options. To calculate the number of pavers needed, we first need to determine the total area of the patio. The formula for the area of a rectangle is length times width, so the area of the patio is 3.2 m x 5.0 m = 16 square meters. Next, we need to determine the size of the pavers. Let's assume we use 30 cm x 30 cm pavers. To cover 1 square meter with these pavers, we will need 11 pavers (100 cm / 30 cm = 3.33 pavers per meter, and 3.33 x 3.33 = 11.11 pavers per square meter, rounded to 11). Therefore, to cover the 16 square meter patio, we will need approximately 176 pavers (11 pavers per square meter x 16 square meters = 176 pavers).
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Solve the equation in the interval from 270° to 810°
Your answer should be in degrees
cos(x)=1
Choose all answers that apply
A. 0°
B. 90°
C. 360°
D. 540°
E. 720°
F. 1080°
Answer:
Step-by-step explanation:
cos(x)=1
Choose all answers that apply
A. 0°
B.90°
C.360°
D.540°
E. 720°
F.1080°
Answer:
C or E
Step-by-step explanation:
The answer should be choice.C or E
Jada works at an orchard. She wants to see if an apple tree or orange tree has more healthy fruit, as opposed to spoiled fruit. She examines the trees and picks the fruit before beginning to create the following relative frequency table, which is incomplete.
Apple
Orange
Total
Healthy 33=0.38 ₽ 38% 39=0.44 s 44% blank A Spoiled =0.11 ~ 11% §=0.07 ~ 7% blank B
Total
87-1.00 = 100%
The marginal relative frequency for healthy fruit is approximately
[ Select I
-, and the marginal relative frequency for spoiled fruit
is approximately
[ Select ]
Answer:
the healthy fruit is 77.07
and the spoiled fruit is 20.19
Step-by-step explanation:
the explanation is a little long but if you want one just ask in the comments and ill edit this
Find the area of the kite below:
What is the area?
According to given information, the area of kite is 480 m².
What is area of kite?
The area of a kite can be calculated by multiplying the lengths of its two diagonals and dividing the result by 2:
Area of kite = (diagonal 1 x diagonal 2) / 2
The hypotenuse is usually the slanted line in a triangle.
Area of a kite = pq/2 (p and q = diagonal)
Finding the missing side length of triangle₁
37² = 12² + x² (x = unknown side length)
=> 1369 = 144 + x² (x = unknown side length)
=> 1369 - 144 = x² (x = unknown side length)
=> 1225 = x² (x = unknown side length)
=> x = 35 m
Finding the area:
Area of a kite = pq/2 (p and q = diagonal)
=> Area of a kite = (35 + 5)(12 + 12)/2
=> Area of a kite = (40)(24)/2
=> Area of a kite = 40 x 12 = 480 m².
Therefore, the area of kite is 480 m².
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# 2) What will be the probability of getting odd numbers if a dice is
thrown?
A) 1/2
B) 2
C) 4/2
D) 5/2
Pls show ur work
1/2 will be the probability of getting odd numbers if a dice is
thrown.
What does the math term "probability" mean?
The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out.
Statistics describes the examination of events subject to probability. Probability is a measure of how likely or likely-possible something is to happen. For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail). P(heads) = 12 is the formula.
The total number of possible outcomes n=6.
Sample space = 1,2,3,4,5,6
odd nos. = 1, 3, 5
probability of getting odd nos.= 3/6 = 1/2
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What is the result of the equation: 2+5+6+7*(5-2)
Answer:
34
Step-by-step explanation:
1)Simplify 5−2 to 3
2+5+6+7×3
2)Simplify 7×3 to 21.
2+5+6+21
3)Simplify 2+5 to 7.
7+6+21
4)Simplify 7+6 to 13.
13+21
5)Simplify.
34
Translate the sentence then solve the question
Step-by-step explanation:
"The difference of twice of a # and 10 is = to 12
We're gonna do this like statement reason because I don't want to write a paragraph lol
2x-10=12 Given
2x=24 Simplify (+10 to each side cancels on left, adds on the right)
x=12 Simplify (divide by 2)
Yay!
Also if you have 2 chances maybe try -1? but I think 12 is right
What I need help pls
HELP GEMOTRY DUE TODAY
Last week, there were 150 student absences at Johnson High. The table below summarizes them by the day of the week on which they occured. This information is also presented as a circle graph.
Find the central angle measure, x°, for the Monday slice in the circie graph. Do not round.
Answer: 43.2
Step-by-step explanation:
Do this by ration method:
[tex]\frac{18+36+15+33+48}{18} = \frac{360}{x}[/tex]
x = 43.2
I need help... I'm struggling! I did the math independently but was confused about what to put in the blanks.
1. sin ² x goes in the numerator. 2. sin x (sin x) is the numerator expanded. 3. Separate the two factors sin x / cos x and sin x / cos x. 4. Replace sin x / cos x with tan x. Use the trigonometric identity.
What are trigonometric functions?Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the connection between the angles and sides of a triangle. The three basic categories of trigonometric functions are sine, cosine, and tangent. In contrast to the fundamental trigonometric functions, the other three functions are essentially employed more frequently. For an explanation of these three main roles, use the diagram below as a guide. The sin-cos-tan triangle is the name for this illustration. Often, the right-angled triangle is used to define trigonometry.
The given trigonometric function is 1 / cos x csc² x.
Now, the csc²x can be written as:
sin²x / cos x. Thus, sin ² x goes in the numerator.
Now, sin x (sin x) is the numerator expanded.
Separate the two factors sin x / cos x and sin x / cos x
Replace sin x / cos x with tan x.
Use the trigonometric identity to complete the proof.
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Keiko received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.37 per pound. After buying the coffee, she
had $43.15 left on her card. How many pounds of coffee did she buy?
Let's start by finding out how much money Keiko spent on coffee. She started with an $80 gift card and ended up with $43.15 left, so she spent:
$80 - $43.15 = $36.85
We also know that the coffee costs $7.37 per pound. Let's use "x" to represent the number of pounds of coffee Keiko bought. Then we can set up an equation:
$7.37x = $36.85
To solve for x, we can divide both sides by $7.37:
x = $36.85 ÷ $7.37
x = 5
So Keiko bought 5 pounds of coffee.
9. Higher Order Thinking Suppose you have a graph of speed that shows a lion can run four times as fast as a squirrel. Name an ordered pair that shows this relationship. What does this ordered pair represent?
Answer: : The point (4,5)
Step-by-step explanation:
For the exponential function A = 82*1.16x, what is the percent of Increase?
The percent increase when [tex]$x$[/tex] increases by one unit is approximately 15.8%.
What is exponential function?
An exponential function is a mathematical function of the form:
[tex]f(x) = a^x[/tex]
where a is a constant greater than zero and not equal to 1, and x is the variable that takes on real numbers.
To find the percent increase for the exponential function [tex]$A = 82\times 1.16^x$[/tex], we need to find the ratio of the final value to the initial value, subtract one, and then multiply by 100 to convert to a percentage.
Let's suppose we are interested in finding the percent increase when [tex]$x$[/tex] increases by one unit. We can start by calculating the initial value of [tex]$A$[/tex] when [tex]$x = 0$[/tex]:
[tex]$$A = 82 \times 1.16^0 = 82$$[/tex]
Then we can calculate the final value of [tex]$A$[/tex] when [tex]$x = 1$[/tex]:
[tex]$$A = 82 \times 1.16^1 \approx 95.12$$[/tex]
Now we can find the ratio of the final value to the initial value:
[tex]$\text{ratio} = \frac{\text{final value}}{\text{initial value}} = \frac{95.12}{82} \approx 1.158$$[/tex]
Next, we subtract one and multiply by 100 to get the percent increase:
[tex]$$\text{percent increase} = (\text{ratio} - 1) \times 100 \approx (1.158 - 1) \times 100 \approx 15.8%$$[/tex]
Therefore, the percent increase when [tex]$x$[/tex] increases by one unit is approximately 15.8%.
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Help Please And Thank You
Answer:
B
Step-by-step explanation:
A water sprinkler sends out water in a circular pattern . What is the area formed by the water pattern if it can spray out 22 feet in any direction use 3.14 for pi
The sprinkler will water an area of approximately 1519.76 square feet.
What is Area?Area is the measurement of the size of a surface or region. It is usually measured in square units such as square meters, square feet, or square inches.
The area watered by the sprinkler can be calculated using the formula for the area of a circle:
Area = πr²
where r is the radius of the circle.
In this case, the radius of the sprinkler's spray is given as 22 ft. So, we can substitute this value in the formula:
Area = π(22 ft)²
Area = π(484 ft²)
Area = 1519.76 ft² (rounded to two decimal places)
Therefore, the sprinkler will water an area of approximately 1519.76 square feet.
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Someone give me the answer to this
The equation of the line from the given graph is y = 3x + 1.
What is equation of line?With the aid of the line's slope and a point on the line, the equation of a line may be created. For a better understanding of how a line's equation is created, let's learn more about the line's slope and the necessary point on the line. The slope of a line is the angle that the line makes with the positive x-axis and can be stated as a numerical integer, fraction, or as the tangent of that angle. The term "point" refers to a coordinate system point with the x and y coordinates.
From the given graph we observe the two coordinates of the line are (0, 1) and (3, 10).
The slope of the line is given as:
m = y2 - y1 / x2 - x1
m = (10 - 1) / (3 - 0)
m = 9/3 = 3
The point-slope intercept is given as:
y - y1 = m (x - x1)
Substituting the values:
y - 1 = 3 (x - 0)
y - 1 = 3x
y = 3x + 1
Hence, the equation of the line is y = 3x + 1.
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Do you think the ratio of hypotenuse to a leg is the same for all isosceles right triangles? Explain
Yes, the ratio of the hypotenuse to a leg is the same for all isosceles right triangles.
What is hypotenuse ?
In a right triangle, the hypotenuse is the side that is opposite to the right angle. It is also the longest side of the triangle. The hypotenuse is always opposite the right angle and is found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In a right triangle with legs of length "a" and "b", the length of the hypotenuse "c" can be found using the formula:
[tex]c^2 = a^2 + b^2[/tex]
Taking the square root of both sides gives us:
[tex]c = \sqrt{a^2 + b^2}[/tex]
The hypotenuse plays an important role in trigonometry, as it is used in the calculation of trigonometric ratios such as sine, cosine, and tangent.
According to the question:
Yes, the ratio of the hypotenuse to a leg is the same for all isosceles right triangles.
In an isosceles right triangle, the two legs are congruent, which means they have the same length. Let's call the length of each leg "a". The hypotenuse of the triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the legs:
[tex]hypotenuse^2 = a^2 + a^2 = 2a^2[/tex]
Taking the square root of both sides, we get:
[tex]hypotenuse = \sqrt{2a^2} = a * \sqrt{2}[/tex]
So, the ratio of the hypotenuse to a leg is:
[tex]hypotenuse / a = (a * \sqrt{2}) / a = \sqrt{2}[/tex]
This shows that the ratio of the hypotenuse to a leg in an isosceles right triangle is always equal to the square root of 2, which is a constant value. Therefore, the ratio is the same for all isosceles right triangles.
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What is the End Behavior of the following Graph?
Answer:
The answer is B
Step-by-step explanation:
The asymptote of this graph is -4. If you look at the bottom of the graph, the line is going flat to -4, that means it's the asymptote. B has the only option where -4 occurs. Therefore, it's B.
Hope this helps.
Suppose another one of your credit cards offers 3% cash back on gas, 2% at grocery stores, and 1% on all other purchases. If you spent a total of $2,738.21 on everything, with $384.23 of that total at the grocery store and $134.92 for gas, how much would your cash back be?
The cash back you would receive on your purchases of $2,738.21 using this credit card is $33.92.
To calculate the cash back you would receive using the given credit card, we need to multiply the total amount spent in each category by the corresponding cash back percentage, and then add up those amounts.
For gas purchases, you spent $134.92, so the cash back earned on that amount would be:
$134.92 x 3% = $4.05
For grocery store purchases, you spent $384.23, so the cash back earned on that amount would be:
$384.23 x 2% = $7.68
For all other purchases, you spent a total of:
$2,738.21 - $134.92 - $384.23 = $2,219.06
So the cash back earned on that amount would be:
$2,219.06 x 1% = $22.19
Adding up the cash back earned in each category, we get:
$4.05 + $7.68 + $22.19 = $33.92
∴ Cashback = $33.92
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explain how, in the fewest possible number of moves, you would measure out exactly 1 gallon of water. note that, if you dump out a jug, you have to dump it out completely, that means it is illegal to, for example, fill up the 12-gallon jug and then dump it into both the 3-gallon jug and the 8-gallon to leave behind 1 gallon in the 12-gallon jug.
To measure out exactly 1 gallon of water we need exactly six possible number of moves.
To measure out exactly 1 gallon of water using two jugs, one with a 3-gallon capacity and one with an 5-gallon capacity, you can follow some steps
Fill the 5-gallon jug with water completely. Pour the water from the 5-gallon jug into the 3-gallon jug, leaving 2 gallons of water in the 5-gallon jug.
Empty the 3-gallon jug completely. Pour the 2 gallons of water from the 5-gallon jug into the empty 3-gallon jug.
Fill the 5-gallon jug with water again. Pour water from the 5-gallon jug into the 3-gallon jug until it is full, which will leave exactly 1 gallon of water in the 5-gallon jug.
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3 cans of soup can serve 5
people.
If you want to serve 20
people, what should you do?
A.Use 15 more cans of soup.
B.Use 4 times as many cans of soup.
C.Use 3 times as many cans of soup.
D.Use 12 more cans of soup.
he state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. in an earlier study, the population proportion was estimated to be 0.23 . how large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.03 ?
The sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.03 is approximately 904
Since the commission wants a 98% confidence level, the z-score associated with that level is 2.33 (which can be found using a standard normal distribution table).
We also know that the commission wants an error of at most 0.03, so we can set up an equation:
0.03 = 2.33 x √(0.23 x 0.77) / √(n)
Solving for n, we get:
n = (2.33 x √(0.23 * 0.77) / 0.03)²
n = 903.78
So, the commission would need a sample size of at least 904 tenth grade students in order to estimate the fraction of students with reading skills at or below the eighth grade level at the 98% confidence level with an error of at most 0.03.
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