Firstly figure out how much money you earn per one hour. This is 312$ divided by 20 is 16$/hour. Then write an equation which represents only hourly earnings: y = 16x. To answer the last question just enter the value for variable x = 15, and you will get money earned per one week.

8 0

3 years ago

Alberto spent $115 on shirts T-shirts cost $10 and long sleeve shirts cost $15 if he bought a total of nine then how many of eac

Step2247 [10]

Answer:

4 T-shirts and 5 long sleeves shirts.

Step-by-step explanation:

T-shirt cost =$10

Long sleeve shirt cost = $15

Total number of shirts = 9

Total number of T-shirts = 4

Cost of 4 T-shirts = 4 × 10 =$ 40

Total number of long sleeve shirt = 5

Cost of 5 long sleeve shirt = 5 × 15 =$ 75

Verification:

75+40 = $115 proved!

8 0

3 years ago

According to a recent survey, the population distribution of number of years of education for self-employed individuals in a c

creativ13 [48]

Answer:

a) X: number of years of education

b) Sample mean = 13.5, Sample standard deviation = 0.4

c) Sample mean = 13.5, Sample standard deviation = 0.2

d) Decrease the sample standard deviation

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 13.5 years

Standard deviation,σ = 2.8 years

a) random variable X

X: number of years of education

Central limit theorem:

If large random samples are drawn from population with mean $\mu$ and standard deviation $\sigma$ , then the distribution of sample mean will be normally distributed with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

b) mean and the standard for a random sample of size 49

$\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{49}} = 0.4$

c) mean and the standard for a random sample of size 196

$\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{196}} = 0.2$

d) Effect of increasing n

As the sample size increases, the standard error that is the sample standard deviation decreases. Thus, quadrupling sample size will half the standard deviation.

7 0

3 years ago

Which of the following statements is true? -6 < -8 -6> -8 or -6=-8

olganol [36]

Answer:

-6>-8

Step-by-step explanation:

-6 is more than -8.

4 0

3 years ago