Choose the equation below that represents the line that passes through the point (7, −2) and has a slope of −3.

2 answers:

7 0

Point slope form
y-y1=m(x-x1)
slope=m
given point=(x1,y1)

slope=-3
point is (7,-2)

y-(-2)=-3(x-7)
y+2=-3(x-7)

3rd option

mylen [45]3 years ago

5 0

Answer:

Its y - 7 = -3(x + 2)

Step-by-step explanation:

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In a random sample of 74 women at a company, the mean salary is $39,902 with a standard deviation of $3270 in a random sample of

ValentinkaMS [17]

The correct answer is the first choice, ($1818.30, $5077.70.)

To find this, we first find the z-score based on the confidence level:
Convert 95% to a decimal: 95%=95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.

Next, we identify
$\overline{x_1}=39902; \overline{x_2}=36454; n_1=74; n_2=40; \sigma_1=3270; \sigma_2=4677$

Next we find
$(\overline{x_1}-\overline{x_2})=(39902-36454) = 3448$

Next we find
$\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}
\\
\\=\sqrt{\frac{3270^2}{74}+\frac{4677^2}{40}}=\sqrt{\frac{10692900}{74}+\frac{21874329}{40}}
\\
\\=831.479$

Next, we multiply this value by z:
1.96(831.479) = 1629.70

The confidence interval is given by
$3448\pm1629.70
\\
\\=(3448-1629.70, 3448+1629.70)
\\
\\=(1818.30, 5077.70)$

5 0

3 years ago

2.<br> A policeman took 2 hours to travel 100 miles. What speed was he travelling at?

Darya [45]

Answer:

50 miles per hour!

Step-by-step explanation:

If 2 hours equal 100 miles, then 1 hour will be 50!

Hope this helped!

4 0

3 years ago

Read 2 more answers