Find the volume of the pyramid below.<br> Enter your answer as a number with no units.

Delvig [45]

11/15=.7333333 so the one with the line above the 3 only

8 0

3 years ago

350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how

NARA [144]

Answer:

The number of teenagers in the stratified sample of equal proportion is 30 teenagers

Step-by-step explanation:

Whereby tickets are sold to only adults male and female and teenagers, boys and girls, we have the following groups

Group 1: Female adult

Group 2: Male adult

Group 3: Teenage boys

Group 4: Teenage girls

In stratified sampling, the types of people that visit the zoo (which is the target population) are identified and the appropriate proportion of each of the identified types is determined such that the sample is representative of the population

Where equal number of each group are observed to have visited the zoo, then, the appropriate sample size of the teenager is found as follows;

Number of groups identified = 4

Sample size = 30

Appropriate proportion of each group = 1/4

Number of teenage boys in the sample = 1/4×30 = 15

Number of teenage girls in the sample = 1/4×30 = 15

Total number of teenagers in the sample = 15 + 15 = 30 teenagers.

5 0

3 years ago

Read 2 more answers

Use the following function to find the value of each operation.

Murljashka [212]

<h2>Evaluating Composite Functions</h2><h3>Answer:</h3>

$w(f(m(2))) = 593$

<h3>Step-by-step explanation:</h3>

We can write how $w(f(m(x)))$ will be defined but that's too much work and it's only useful when we are evaluating $w(f(m(x)))$ with many inputs.

First let's solve for $m(2)$ first. As you read through this answer, you'll get the idea of what I'm doing.

Given:

$m(x) = -4x +1$

Solving for $m(2)$ :

$m(2) = -4(2) +1 \\ m(2) = -8 +1 \\ m(2) = -7$

Now we can solve for $f(m(2))$ , since $m(2) = -7$ , $f(m(2)) = f(-7)$ .

Given:

$f(x)=3x-1$

Solving for $f(-7)$ :

$f(-7)=3(-7)-1 \\ f(-7) = -21 -1 \\ f(-7) = -22$

Now we are can solve for $w(-22)$ . By now you should get the idea why $w(f(m(2))) = w(-22)$ .

Given:

$w(x) = x^2 -5x -1$

Solving for $w(-22)$ :

$w(-22) = (-22)^2 -5(-22) -1 \\ w(-22) = 484 -5(-22) -1 \\ w(-22) = 484 +110 -1 \\ w(-22) = 593$

8 0

3 years ago

On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to mow 9 lawn

Charra [1.4K]

Mowing 4 lawns in 6 hours gives a mowing rate of 6/4 = 1.5 hours per lawn.
To mow 9 lawns, you need 1.5*9 = 13.5 hours.

The answer is B.

6 0

3 years ago

Read 2 more answers

A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl

AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

$m=\frac{8-5}{1+5}$

$m=\frac{3}{6}$

$m_A_B=\frac{1}{2}$

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

$m=\frac{2-8}{4-1}$

$m=\frac{-6}{3}$

$m_B_C=-2$

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

$m=\frac{-2-2}{-2-4}$

$m=\frac{-4}{-6}$

$m_C_D=\frac{2}{3}$

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

$m=\frac{-2-5}{-2+5}$

$m=\frac{-7}{3}$

$m_A_D=-\frac{7}{3}$

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

$m_A_B=\frac{1}{2}$

$m_C_D=\frac{2}{3}$

so

$m_A_B \neq m_C_D$

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0

3 years ago

Find the volume of the pyramid below. Enter your answer as a number with no units.