Answer:
○ 4⁄6, -4⁄6
Step-by-step explanation:
Take the square root of both the denominator and numerator, and you will get the above two answers.
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Answer:
There is enough evidence to support the claim that the population mean is greater than 100
Step-by-step explanation:
<u>Step 1</u>: We state the hypothesis and identify the claim
and
(claim)
<u>Step 2</u>: Calculate the test value.


<u>Step 3</u>: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134
<u>Step 4</u>: We fail to reject the null hypothesis since P-value is greater that the alpha level. (0.134>0.05).
<u>Step 5</u>: There is enough evidence to support the claim that the population mean is greater than 100.
<u>Alternatively</u>: We could also calculate the critical value to obtain +1.685 for
and d.f=39 and compare to the test-value:
The critical value (1.685>1.126) falls in the non-rejection region. See attachment.
NB: The t- distribution must be used because the population standard deviation is not known.
Answer: x=9
Step-by-step explanation: rewrite the given equation with y=6, 2x + 3(6)=36
Now simplify 2x +18=36
Subtract 18 from both sides of the equal
2x=18
Now divide both sides by 2 and your answer is x=9
Answer:
Second number = -29
First number = -34
Step-by-step explanation:
Second number = x
First number = x - 5
3*(x-5) = 4x + 14
3x - 3*5 = 4x + 14
3x - 15 = 4x + 14
-15 = 4x +14 - 3x
-15 = x + 14
-14 - 15 = x
x = -29
Second number = -29
First number = -29 - 5 = -34
Answer:
12
Step-by-step explanation:
a² + b² = c²
a² + 9² = 15²
a² + 81 = 225
a² = 225 - 81
a² = 144

a = 12