excel A car insurance company has determined that 8% of all drivers were involved in a car accident last year. If 15 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

Answer:

Option (D)

Step-by-step explanation:

In a function y shows the values of the function (Output values) and x shows the (input values).

Therefore, to convert any equation into the function, we will solve the equation for y.

Given equation is,

680x + 10y - 1000 = 0

680x + 10y = 1000

68x + y = 100

y = -68x + 100

Now replace y by f(x).

Therefore, the function will be,

f(x) = -68x + 100

Option (C) will be the correct option.

Answer: its A

Step-by-step explanation:

The type of graphical display that Marissa should use to know the age of her friends' cars is given as follows:

Histogram.

An histogram is a graph that shows the number of times each element of x was observed, or the number of observations in each range of the data-set.

For this problem, we have a single input, which are the cars, and then we divide the ages of the cars in intervals, and each bin of the histogram would represent the number of Marissa's friends that have a car age in that range.

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Hi there! :)

Answer:

\(\huge\boxed{15.87kg}\)

To solve, simply set up a proportion. Let "x" represent the mass of a 95 kg person on the moon:

\(\frac{14.2kg}{85kg} = \frac{x}{95kg}\)

Cross multiply:

\(14.2 * 95 = 85 * x\)

\(1349 = 85x\)

Divide both sides by 85:

\(1349/85 = 85x/85\)

\(x = 15.87 kg\)

Answer:

15kg

Step-by-step explanation:

85/14.2=5.98

95/6=15

The area of the shaded region is 559 ft².

In order to find the area of the shaded region, we will subtract the area of the square from the area of the rectangle. That is:

area of the shaded region = area of rectangle - area of square

area of the shaded region = (32 * 20) - (9 * 9)

area of the shaded region = 640 - 81

area of the shaded region = 559 ft²

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Complete Question

See attached image

Answer:

Divide until the remainder is zero, or until you have enough decimal places in your answer. You can also stop if the remainder repeats because this indicates that your answer is a repeating decimal.

Step-by-step explanation:

Given equation is:-

Dividing both sides by 4, we get

By doing simply, we get

Hence, the value of c will be ¾.

Hi there!

Convert 36 into 35 and 4/4 since if it is just a number, it can’t be multiply by 3/4.

\(36= 35 \frac{4}{4}\)

Multiply both fractions now but also turn 35 4/4 into a mixed number:

\(36=\frac{144}{4}\)

\(\frac{3}{4} x \frac{144}{4}= \frac{27}{1} = 27\)

Final Result: 27

₋2.3 < ₋8/3 is the correct answer.

Given, we need to compare the terms.

₋8/3 = ₋2.67

therefore, 2.3 is less than 2.667

hence we form it as ₋2.3 < ₋2.67

we form: ₋2.3 < ₋8/3

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Answer:

n-7

Step-by-step explanation:

Seven fewer than a number means that you just subtract 7 from the original number.

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

10x=40

x=40/10

x=4

4 is the answers, not -4

Step-by-step explanation:

pls mark as brainliest

All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

The probability of randomly drawing a 10 from the deck is:

P = 1/13

We want to find the probability of randomly drawing a 10 from the deck.

Remember that there are 4 suits of 13 cards each, so thereare 52 cards in total and 4 of these cards are tens.

The probability of randomly drawing a 10 is equal to the quotient between the number of cards with a 10 on it (4 of these) and the total number of cards in the deck (52).

It is:

P = 4/52 = 1/13

That is the probability.

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Answer:

9236 x 4 = 36944

36944 keyboards are produced by the factory.

Step-by-step explanation:

Answer:

Let's see it by an example!

The numbers are given:

5 , 77 , 23 ,45 & 0

Let's arrange this from least to greatest :

0<5<23<45<77

Note : This sign(<) means greater than.

Hope you understand!✔

You can also practice this by greatest to least!

You can use this sign(>) [ it means less than ]

SMALL Example is given :

55>2

Answer:

The probability is 0.7449

Step-by-step explanation:

Given

\(n = 12\) ---- total

\(r = 5\) --- selection

\(Genre =\{Rap(4), Country (5), Heavy\ metal (3)\}\)

Required

Probability of buying at least 1 of each genre

First, we calculate the total possible selection.

To select 5 CDs from a total of 12, we use:

\(^nC_r = \frac{n!}{(n - r)!r!}\)

\(^{12}C_5 = \frac{12!}{(12 - 5)!5!}\)

\(^{12}C_5 = \frac{12!}{7!5!}\)

Expand

\(^{12}C_5 = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}\)

\(^{12}C_5 = \frac{12*11*10*9*8}{5*4*3*2*1}\)

\(^{12}C_5 = \frac{95040}{120}\)

\(^{12}C_5 = 792\)

So, the total selection is:

\(Total = 792\)

To select at least 1 from each genre, there are 6 possible scenarios.

And they are:

\(\begin{array}{ccc}{Heavy\ Metal (3)} & {Rap (4)} & {Country(5)} & {3} & {1} & {1} & 2 & {1} & {2} & {2} & {2} & {1}& {1} & {2} & {2}& {1} & {3} & {1}& {1} & {1} & {3} \ \end{array}\)

The possible selections for the given scenario is:

\(Possible = ^3C_3* ^4C_1 * ^5C_1 +^3C_2* ^4C_1 * ^5C_2 +^3C_2* ^4C_2 * ^5C_1 +^3C_1* ^4C_2 * ^5C_2 +^3C_1* ^4C_3 * ^5C_1 +^3C_1* ^4C_1 * ^5C_3\)

Using a calculator, we have:

\(Possible = 1*4*5 +3*4*10 +3*6*5 +3*6*10+3*4*5+3*4*10\)

\(Possible= 20 +120 +90 +180+60+120\)

\(Possible = 590\)

The probability is then calculated using:

\(Pr = \frac{Possible}{Total}\)

\(Pr = \frac{590}{792}\)

\(Pr = 0.7449\)

The statement "Economists and accountants usually disagree in the inclusion of implicit costs into the cost analysis of a firm " is true

Accountants are the peoples who track the flow of money for the individuals and the business activities. But the Economist track the largest trends that use the money and resources of the company

So the view of the Economist and accountant on cost is different, because both of them are seeing the cost analysis of the company in different ways.  So it possible that the Economists and accountants disagree in the inclusion of implicit cost

Therefore, the given statements is true

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Answer:

d.

Step-by-step explanation:

the slope is the factor of x.

a perpendicular slope turns the original slope upside-down and flips the sign.

the original slope is -3/7.

the perpendicular slope is then 7/3.

the only answer option with the correct slope is d.

so, d. must be correct.

let's check that (-2, 2) is on this line :

2 = 7/3 × -2 + 20/3 = -14/3 + 20/3 = 6/3 = 2

2 = 2

correct.

so yes, the point (-2, 2) is on this line, and d. is indeed correct.

Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

Starting with:

-15 > -11 + w

Add 11 to both sides:

-15 + 11 > w

Simplifying:

-4 > w

Therefore, the solution for the inequality -15 > -11 + w, when solved for w, is:

w < -4

The solution for the given system of equations is

x = 3

y = -12

What are linear equations in two variables?

Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero.

Given two linear equations of two variables.

y = -4x .....eq 1

6x - y = 30 .....eq 2

We have to solve them using substitution.

Now,

by substituting eq 1 in eq 2,

6x -(-4x) = 30

6x + 4x = 30

10x = 30

x = 3

from eq 1,

y = -4x = -4*3 = -12

Therefore, x = 3 and y = -12

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Answer:

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of variances.

Ohio had an average of 52, standard deviation of 7.22, sample of 40.

This means that \(\mu_O = 52, s_O = \frac{7.22}{\sqrt{40}} = 1.1416\)

Pennsylvania had an average of 33, standard deviation of 10.11, sample of 33.

This means that \(\mu_P = 33, s_P = \frac{10.11}{\sqrt{33}} = 1.76\)

Distribution of the difference:

\(\mu = \mu_O - \mu_P = 52 - 33 = 19\)

\(s = \sqrt{s_O^2 + s_P^2} = \sqrt{1.1416^2 + 1.76^2} = 2.1\)

Confidence interval:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.999}{2} = 0.0005\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.0005 = 0.9995\), so Z = 3.29.

Now, find the margin of error M as such

\(M = zs\)

\(M = 3.29*2.1 = 6.91\)

The lower end of the interval is the sample mean subtracted by M. So it is 19 - 6.91 = 12.09 hours per week

The upper end of the interval is the sample mean added to M. So it is 19 + 6.91 = 25.91 hours per week.

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

The volume of the given figure above would be = 4,095 yards³.

To calculate the volume of the given figure, it is first divided into two giving rise to a rectangular prism and a trapezoidal prism.

The volume of a rectangular prism= length×width×height

where;

length= 30yrds

width= 9 yards

height= 7 yards

volume= 30×9×7 = 1,890yards³

The volume of a trapezoidal prism= ½(a+b)×h×l

where;

a= 19yd

b= 30yd

h= 10yd

l= 9 yd

volume= ½(19+30)×10×9

= 49×5×9

= 2,205yards³

Therefore, the total volume of the figure would be ;

= 1,890+2,205

= 4,095 yards³

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[-1.5, 3.5] and [-2, infty) are the range and domain of the equation.

Quadratic function are functions that have a leading degree of 2.

The domain of the function are values that lies along the x-axis of the graph. Hence the domain of the curve will be [-1.5, 3.5]

The range of the function are values that lies along the y-axis of the graph. Hence the domain of the curve will be [-2, infty)

Hence the range and domain of the graph are [-1.5, 3.5] and [-2, infty)

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The value of p is 781.25.

What is a population growth?

Population Growth is defined as the increase in the number of individuals in a population is called population growth.

What is a common growth factor?

The growth factor is the ratio between the old price and the new price, once sales tax is included.

We want to know the population when y = 0, or when the number of years is zero.

Substitute the same in the equation

p = (400).\((\frac{5}{4} )^{y}\)

When y = 1 or at the 1st year, the population will be p = (400)(\(\frac{5}{4}\) ) = 500

This means that the population is increasing by a common growth factor of \((\frac{5}{4})\) .

When y = 3, or at year 3 we get the population as p = 400  \((\frac{5}{4} )^{3}\)

                                                                                      = 781.25

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