The sum of 9 and a number is twice a number plus 14. How would I write this as an equation?

The value of y varies directly as x, with a constant of variation of -8. What is the value of y when x is 7?

slega [8]

Answer:

y = -56

Step-by-step explanation:

The equation for direct variation is

y = kx where k is the constant of variation

y = -8 x

We know x =7

y = -8*7

y = -56

6 0

3 years ago

Read 2 more answers

8wsquared2 <img src="https://tex.z-dn.net/?f=8w%20%7B2%20%7D%5E%7B2%7D%20%20-%2018w" id="TexFormula1" title="8w {2 }^{2} - 1

balandron [24]

${\text{Here, we have the algebraic expression}} \hfill \\ 8w \times {2^2} - 18w \hfill \\ {\text{For simplifying the expression, first we solve the exponent part,}} \hfill \\ {\text{and then the resultant will be multiply with the monomial }}18w \hfill \\ 8w \times {2^2} - 18w \hfill \\ = 8 \times w \times {2^2} - 18w \hfill \\= \left( {8 \times {2^2}} \right) \times w - 18w\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left[ {\because \,{\text{By associative law }}a \times \left( {b \times c} \right) = \left( {a \times b} \right) \times c} \right] \hfill \\ = \left( {8 \times 4} \right) \times w - 18w \hfill \\ = 32 \times w - 18w \hfill \\= 32w - 18w \hfill \\= 14w \hfill \\$

4 0

3 years ago

6. A car dealership would like to estimate the mean mpg of its new model car with 90% confidence. The population is normally dis

Yakvenalex [24]

Answer:

92.9997< $\mu$ <99.5203

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as:

CI = xbar ± Z * S/√n where;

xbar is the sample mean

Z is the z-score at 90% confidence interval

S is the sample standard deviation

n is the sample size

Given parameters

xbar = 96.52

Z at 90% CI = 1.645

S = 10.70.

n = 25

Required

90% confidence interval for the population mean using the sample data.

Substituting the given parameters into the formula, we will have;

CI = 96.52 ± (1.645 * 10.70/√25)

CI = 96.52 ± (1.645 * 10.70/5)

CI = 96.52 ± (1.645 * 2.14)

CI = 96.52 ± (3.5203)

CI = (96.52-3.5203, 96.52+3.5203)

CI = (92.9997, 99.5203)

Hence a 90% confidence interval for the population mean using this sample data is 92.9997< $\mu$ <99.5203

4 0

3 years ago

A. imagine that you are one of the people who left the luncheon with a contagious disease and interacted with an average of 9 di

shusha [124]

1. In line with the test each person who came into interaction with the infected person will become infected also. With this information, the calculation would be: 9 people each day for 7days would be equivalent to 9 x 7 which equals 63 people.

2. Here were 7 other people in the experiment if patient zero is left out. If each person intermingled with 6 different people every day in 7 days then the calculation would be: 7 people infected x 6 new people = 42 infected people each day

42 new people every day x 7 days = 294 infected persons.

8 0

3 years ago

Jim is a senior in college and just started his first job as a sales associate. At his new job, she expects to make about $42,00

Veseljchak [2.6K]

Answer:

a lot

Step-by-step explanation:

5 0

3 years ago