Does anyone know how to find the volume for this shape ??

There are four times as many girls in a chemistry class as there are boys. if there are 45 students in the class, how many boys

puteri [66]

In order to determine the number of boys in the class, first, we set-up an algebraic equation. Let x = number of boys in the class. The equation is then: x + 4x = 45. This is because the number of girls is 4 times greater than the number of boys. After solving the algebraic equation, it is then determined that there are 9 boys in the Chemistry class.

4 0

3 years ago

what is the value, after 7 years, of a car originally priced at 25,000.00 if it depreciates at a rate of 8% every year

vlada-n [284]

$24,860

you take 25,000.00 and subract 0.56% because when you add 8% for the 7 years it depreciates it would total 56%.

4 0

2 years ago

A recipe uses 3 cups of water, 2 cups of rice, and 1 cup of black beans. What is the ratio of cups of rice to cups of water?

harkovskaia [24]

The answer would be $\frac{3}{2}$ There are three cups of water to 2 cups of rice.

5 0

3 years ago

If x^2=a^2 , then {x} is (always/never/sometimes) equal to {a}<br><br><br>Explain your reasoning.

Lelu [443]

Answer:

always

Step-by-step explanation:

for the 2 sides to be equal then x must always be equal to a

given

x² = a² ( take square root of both sides )

$\sqrt{x^2}$ = $\sqrt{a^2}$ , that is

x = a

4 0

1 year ago

Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores a

IRINA_888 [86]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Suppose an industrial/organizational psychologist is interested in the relationships between job satisfaction, job performance, and job compensation. She has data from five different countries on the average monthly salaries paid to computer programmers. She begins her analysis by converting all of the salary data into U.S. dollars:

Country Average monthly salary Standard deviation Original currency

the Czech Republic $1,059 $158.80 koruna

Latvia $790 $118.60 lat

Korea $2,245 $673.60 won

Romania $646 $96.80 leu

the United States $4,141 $1,242.20 dollar

Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.

a) highest z score

b) lowest z score

c) z score closest to zero

Answer:

a) highest z score

Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the highest z score .

Step-by-step explanation:

Let us calculate z-score corresponding to each country.

The z-score is given by

$z = \frac{x-\mu}{\sigma } }$

Czech Republic:

μ = $1,059

σ = $158.80

$z = \frac{1500-1059}{158.80 } } \\\\z = 2.77$

Latvia:

μ = $790

σ = $118.60

$z = \frac{1500-790}{118.60 } } \\\\z = 5.98$

Korea:

μ = $2,245

σ = $673.60

$z = \frac{1500-2245}{673.60 } } \\\\z = -1.10$

Romania:

μ = $646

σ = $96.80

$z = \frac{1500-646}{96.80 } } \\\\z = 8.82$

United States:

μ = $4,141

σ = $1,242.20

$z = \frac{1500-4141}{1242.20 } } \\\\z = -2.12$

Country z-score

Czech Republic 2.77

Latvia 5.98

Korea -1.10

Romania 8.82

The United States -2.12

Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the highest z score .

6 0

2 years ago