Answer:
<u>y = -3x + 8</u>
Step-by-step explanation:
<u>Given :-</u>
Point on line = (5, -7)
Slope (m) = -3
<u>To find :-</u>
Equation of line
<u>Solving :-</u>
Using point-slope form of equation,
y - y₁ = m(x - x₁)
y + 7 = -3(x - 5)
y + 7 = -3x + 15
<u>Solution :-</u>
<u>y = -3x + 8</u>
The 90% confidence interval for the population mean is 78.1905<x<81.8095
<h3>Confidence interval</h3>
The formula for calculating the confidence interval is expressed as:
CI = x ± z*s/√n
Given the following parameters
mean "x" = 80
z = 1.645
s = 5.5
n = 25
Substitute
CI = 80 ± 1.645*5.5/√25
CI = 80 ± 1.8095
CI = {78.1905, 81.8095}
Hence the 90% confidence interval for the population mean is 78.1905<x<81.8095
Learn more on confidence interval here: brainly.com/question/2141785
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Answer:
-24
Step-by-step explanation:
-1(3^2)+(-15)
-9+(-15)
-24
11.25 seconds, if it takes you 1 second to run 8 feet. This is not realistic.
Answer:
C. h=3V/a^2 is the correct answer
Step-by-step explanation:
Given:
V=1/3a^2h
It can be rewritten as
V=1/3 *( a^2) * h
Divide both sides by (1/3)*h
V / (1/3*h) = (1/3)* (a^2) * h / (1/3)*h
V÷1/3*h = a^2
V÷3/1*h=a^2
3V/h=a^2
Multiply both sides by h
3V/h*h=h*a^2
3V=h*a^2
h=3V/a^2
C. h=3V/a^2 is the correct answer
