The results of a survey show that track is the favorite sport of 11 out of 20 people. Which percent is closest to the probability that a person’s favorite sport will NOT be track?

The largest possible volume of the box is 480 cm³.

Given that 2400 square centimeters of material is available to make a box with a square base and an open top.

To find the largest possible volume of the box, we need to maximize the volume. We can express the volume of the box in terms of its side length.

Let's say the side length of the square base is x cm. The area of the square base will be x² square cm. Since the box has no top, we can say that its height is also x cm. So, the volume of the box can be expressed as,

V(x) = x² × x = x³ cubic cm

We know that 2400 square cm of material is available to make the box. The material is used to create the sides of the box. The box has 5 sides - four walls and a base. The area of the four walls will be the same. So, the total area of the four walls can be expressed as, 4xh = 4x², where h is the height of the box.

Subtracting this area from the total available material, we get the area of the base, which is equal to the area of the remaining material, 2400 - 4x² = x²

Simplifying, 5x² = 2400x² = 480

Volume of the box, V(x) = x³cubic cm

Substituting x = 12 in the expression for V(x), we get the maximum volume of the box, 480 cm³. Therefore, there is a maximum volume of 480  cm³ for the box.

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Answer:

2x is equals to 100

x is equals to 100 / 2

x is equals to 50

therefore x=50

The number is -14 because it is even and less than -12. The absolute value of -14 is between 9 and 15. These conditions fulfill all the given clues.

Jia has given three clues about the number she's thinking of. The first clue is that the number is even, which means it is a multiple of 2. The second clue is that the number is less than -12. This means that the number is a negative number and it lies between -12 and -9 (because the absolute value of a number between -12 and -9 is between 9 and 12). The third clue is that the absolute value of the number is between 9 and 15. This condition is only satisfied by the number -14, which is even, negative, and has an absolute value between 9 and 15. Therefore, the answer is -14.

Based on the given clues, the number Jia is thinking of must be an even number that is less than -12 and whose absolute value is between 9 and 15. The only number that meets all three criteria is -14, which is an even number, less than -12, and has an absolute value of 14, which falls between 9 and 15. Therefore, we can conclude that Jia's number is -14.

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Answer:

3.25%

Step-by-step explanation:

To find the percentage commission Juliana earned, we need to divide her commission by the selling price of the house and then multiply by 100 to convert the decimal to a percentage.

Commission rate = (Commission / Selling price) x 100%

Commission rate = ($10,725 / $330,000) x 100%

Commission rate = 0.0325 x 100%

Commission rate = 3.25%

It is assumed that the vending machine contains cans of grapefruit juice that cost 75 cents each, but the machine isn't functioning properly. The likelihood that the machine accepts a coin is 10 percent.Angela has a quarter and five dimes. We are expected to determine the probability that she would have to attempt the

coins at least 50 times before receiving a can of grapefruit juice.

Let p = 0.1 be the likelihood that the machine accepts a coin, and q = 0.9 be the likelihood that it doesn't.Let's consider X = number of trials required to acquire a can of grapefruit juice. We are looking for P(X ≥ 50).This is a geometric probability issue, and we may utilize the formula:

[tex]P(X ≥ k) = qk-1p[/tex], where k is the number of trials required.

The probability that it will take at least 50 attempts before obtaining a can of grapefruit juice is:

[tex]P(X ≥ 50) = (0.9)49(0.1)≈0.003 or 0.3[/tex] percent (rounded to one decimal place).

Therefore, the likelihood that Angela would have to attempt the coins at least 50 times before acquiring a can of grapefruit juice is 0.3 percent.

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Answer:(3x-2)2

Step-by-step explanation: hope this helps

Answer: (3x-2)^2

Step-by-step explanation:

1. 4

2.2

3.0,5

IT IS SAYING TO WORK OUT WHAT THAT LINE REPRESENTS

Answer: help me pleaz

Step-by-step explanation:

Answer:

83% or 0.83

Step-by-step explanation:

The probability that a randomly selected customer likes hot or iced coffee can be found using the formula:

P(H or I) = P(H) + P(I) - P(H and I)

where P(H) is the probability that the customer likes hot coffee, P(I) is the probability that the customer likes iced coffee, and P(H and I) is the probability that the customer likes both hot and iced coffee.

We are given that P(H) = 0.75, P(I) = 0.30, and P(H and I) = 0.22. Therefore:

P(H or I) = 0.75 + 0.30 - 0.22 = 0.83

So the probability that a randomly selected customer likes hot or iced coffee is 0.83, or 83%. This makes sense because some customers may like both hot and iced coffee, and so we cannot simply add the probabilities of liking each type of coffee. By subtracting the probability of liking both, we account for these customers and obtain the correct probability.

A. The length of its edge is 512 cubic units, B. The volume of the sphere is 268.08 cubic units and C. The fraction of the cube is 67 / 128 and the percentage is 52.34%.

A. We are given that the volume of the cube is 512 cubic units.

We are required to find the length of its edge. So, Let the length of an edge of a cube be a units.

Then, the volume of the cube = (length of edge)3

We have the volume of the cube = 512 cubic units.

So, (length of edge)3 = 512 cubic units

Now, we can find the length of the edge by finding the cube root of 512.

So,Length of edge = Cube root of 512 cubic units = 8 units

Now, we need to find the volume of the sphere which fits snugly inside the cube. When a sphere is inscribed in a cube, its diameter is equal to the edge of the cube.

Thus, the diameter of the sphere = 8 units.

Hence, the radius of the sphere = 8 / 2 = 4 units

B. volume of the sphere = (4 / 3)πr3

= (4 / 3) × π × 43

= 4/3 × 3.14 × 64= 268.08 cubic units

C. The fraction of the cube that is taken up by the,

sphere = volume of sphere/volume of cube

= 268.08 / 512= 67 / 128

So, the percentage of the cube taken up by the sphere is,

percentage of cube taken up by sphere = (67 / 128) × 100= 52.34% (approx)

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Answer: 63 degrees

Step-by-step explanation: On a triangle, all 3 of the angles add up to 180 degrees. I added the 2 angles we know, 92 degrees and 25 degrees. This gave me an answer of 117. Then I took 180-117, and got the answer of 63. That is why angle 3 is 63 degrees.

Answer:

She spent 7 minutes on her math homework.

Step-by-step explanation:

Answer:384

Step-by-step explanation:

The cost per game ticket is 0.75. The solution has been obtained by using the linear equations.

What is a linear equation?

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. Several variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables.

We are given that Clayton and Iris purchase admission to a carnival plus a number of game tickets.

Let the admission cost be 'x' and cost per game ticket be 'y'.

Since, Clayton purchases 10 game tickets and spends $19.50 so, we get an equation in two variables as:

x + 10y = 19.50

Similarly, Iris purchases 15 game tickets and spends $23.25 so, we get first order equation as:

x + 15y = 23.25

Now, on subtracting the first equation from the second, we get

⇒ 5y = 3.75

⇒ y = 0.75

Hence, the cost per game ticket is 0.75.

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Answer:

x²+y²=58

Step-by-step explanation:

(x-x₁)²+(y-y₁)²=r²

(0,0)=(x₁,y₁) [centre of the circle)

x²+y²=r²

The point (3,7) belongs to the circle.

3²+7²=r²

r²=9+49

r²=58

x²+y²=58

The function that represents the amount of money in the account t years after it is opened is c(t) = $63,000 × (1 + 0.0255/12)^(12t)

To calculate the amount of money in the account after a certain number of years, we can use the formula for compound interest

A = P × (1 + r/n)^(nt)

where

A = the amount of money in the account after t years

P = the initial investment (in this case, $63,000)

r = the annual interest rate (2.55%)

n = the number of times the interest is compounded per year (12, since it is compounded monthly)

t = the number of years

Substituting the values given

c(t) = $63,000 × (1 + 0.0255/12)^(12t)

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Considering the definition of perpendicular line, the correct answer is option 2.: the equation of a line perpendicular to y = 2x + 5 and passing through the point (8,2) is y= -1/2x +6.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines, you get –1.

The line is y= 2x +5

where:

If you multiply the slopes of two perpendicular lines, you get –1. So:

2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ 2

slope perpendicular line= -1/2

The line passes through the point (8, 2). Replacing in the expression for perpendicular line:

2= -1/2× 8 + b

2= (-4) + b

2 +4 = b

6= b

Finally, the equation of the perpendicular line is y= -1/2x +6.

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Answer:

Remark

Secants going through a circle form a ratio that's the same for all secants going through the circle and beginning at 1 point. See the diagram below for the ratio. Follow the Line designations carefully. This comes up many times.

General Ratio is (segment from the external point to the the first intersect point of the circumference divided by the distance from the external point to the second intercept point on the circumference).

General Ratio

Put in terms of the diagram the general ratio is (OA / OB)

Equation

OA/OB = OC/OD

Substitute and Solve

9/(9 + 11) = 10/(10 + x)

9/20 = 10/(10 + x)  Notice that you can't combine the right side. Cross Multiply

9*(10 + x) = 10 * 20  Remove the brackets on the left. Combine the right factors.

90 + 9x = 200          Subtract 90 from both sides.

9x = 200 - 90      

9x = 110                  Divide by 9

110 / 9 = 12.22

The calculated surface area of the figure is 337 square meters

from the question, we have the following parameters that can be used in our computation:

SA = hp + 2B

From the figure, we have

B = 1/2 * 7 * 9 = 31.5

p = 7 + 9 + √(7² + 9²) = 27.40

h = 10

So, we have

SA = 10 * 27.40 + 2 * 31.5

Evaluate

SA = 337

Hence, teh surface area is 337 square meters

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To check our answer, we can verify that the number of quarters is 1.7 times the number of dimes, which would be 102. And the total value of her dimes and quarters would be:  $31.50

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's start by using algebra to solve the problem.

Let x be the number of dimes that Carol has saved.

According to the problem, there are 70% more quarters than dimes. We can express the number of quarters in terms of x as 1.7x, since 1.7 times the number of dimes is equal to the number of quarters.

We also know that the combined value of her quarters and dimes is $31.50. We can express this as an equation:

0.10x + 0.25(1.7x) = 31.50

Simplifying and solving for x, we get:

0.10x + 0.425x = 31.50

0.525x = 31.50

x = 60

Therefore, Carol has 60 dimes.

Therefore, To check our answer, we can verify that the number of quarters is 1.7 times the number of dimes, which would be 102. And the total value of her dimes and quarters would be:

60 * $0.10 (dimes) + 102 * $0.25 (quarters) = $31.50

which matches the information given in the problem.

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There are 12 coins, such that 6 are real, weighing 10 grams each, and 6 are fake, weighing 9 grams each. you have a scale that shows the exact weight of the coins on it. one of the two coins that were left out is heavier and the other is lighter.

Take 4 coins out of the pile and put them on one side of the balance scale. Take another 4 coins out of the pile and put them on the other side of the balance scale.

If both sides of the scale are equal, you know the remaining 4 coins contain the two coins of different weights you are looking for. In that case, take two coins out of the remaining 4 and weigh them on the balance scale. If they balance each other, the other two coins must be the ones of different weight. On the other hand, if the two coins on the balance scale don’t balance, you can be certain that one is real and the other is fake. In that case, you have already found the two coins you were looking for.

If the balance scale does not balance in the first weighing, you will know that the two coins of different weights must be contained in the group of 4 that is heavier or the group of 4 that is lighter. Remove two coins from the heavier pile, and place them on one side of the scale, and keep the other two on the other side. If the balance scale is still unbalanced, it means that the coin that is heavier is one of the two coins on the heavier side of the scale, and the coin that is lighter is one of the two coins on the lighter side. If the balance scale is now balanced, it means that one of the two coins that were left out is heavier and the other is lighter.

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There are 60 possible outcomes for this experiment.

The problem asks to determine the total number of outcomes for an experiment consisting of three steps with different numbers of possible outcomes at each step.

To solve this problem, we need to apply the multiplication principle, which states that the total number of outcomes for a sequence of events is equal to the product of the number of outcomes at each event.

In this case, there are two possible outcomes for the first step, six possible outcomes for the second step, and five possible outcomes for the third step.

Therefore, the total number of outcomes possible is:

2 * 6 * 5 = 60

Therefore, there are 60 possible sequences of events that can occur in this experiment.

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The percentage of students who have grade point averages between 1.28 and 3.92 is therefore 99.7%.

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.6 and a standard deviation of 0.44.

Using the empirical rule, the percentage of the students who have grade point averages between 1.28 and 3.92 is 99.7%.

The empirical rule, which is often known as the three-sigma rule, states that in any normal distribution of data, the following percentage of data will be within one, two, or three standard deviations of the mean:-

68.27% of the data will lie within one standard deviation of the mean.- 95.45% of the data will lie within two standard deviations of the mean.- 99.73% of the data will lie within three standard deviations of the mean.

For this question, we want to know what percentage of students have grade point averages between 1.28 and 3.92, which is two standard deviations below and above the mean.

Using the empirical rule, we know that approximately 95% of the data will fall within two standard deviations of the mean, so 95% of the students will have grade point averages between (2.6 - 0.88) = 1.72 and (2.6 + 0.88) = 3.48. However, we want to know what percentage of students fall within the range of 1.28 to 3.92, which is slightly beyond two standard deviations from the mean. Since the empirical rule only provides estimates, we can assume that the additional percentage of students who fall beyond two standard deviations from the mean is roughly 2.5% on each side.

Therefore, the percentage of students who have grade point averages between 1.28 and 3.92 is approximately 95% + 2.5% + 2.5% = 99%.

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Answer: The transformation r y=x reflects the point (x, y) across the line y = x, and the transformation T -3,3 translates the point (x, y) three units to the left and three units up. To find the image point of (-8, 2) after these transformations, we can follow these steps:

Apply the reflection r y=x to the point (-8, 2):

(-8, 2) reflects to (2, -8).

Apply the translation T -3,3 to the reflected point (2, -8):

(2, -8) translates to (-1, -5).

Therefore, the image point of (-8, 2) after the transformation r y=x T -3,3 is (-1, -5).

Step-by-step explanation:

Answer: .54 4 points away from 0.5, 0.62 2 points away from 0.6

Step-by-step explanation: nice prodigy