Answer:
the value of x is 3
Step-by-step explanation:
Hope this helps!!!! :)
Answer:
The volume of the cylinder is 5, 024 cm cubed (the last option)
Step-by-step explanation:

<h3>
Answer: t = 7</h3>
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Explanation:
If we replace every copy of x with t, then we go from this
F(x) = 3x+5
to this
F(t) = 3t + 5
All we've done really is change the letter. We still are dealing with a variable. We're told that F(t) is equal to 26, which would allow us to replace the "F(t)" with "26" in the second equation above.
So we now have the equation 26 = 3t+5 which is the same as 3t+5 = 26
Let's solve for t
3t+5 = 26
3t = 26-5 .... subtract 5 from both sides
3t = 21
t = 21/3 .... divide both sides by 3
t = 7 is the answer
Now note that...
F(t) = 3t + 5
F(7) = 3*7 + 5 .... replace t with 7
F(7) = 21 + 5
F(7) = 26
This means we got F(t) = 26 when t = 7
It's the same as saying x = 7 leads to F(x) = 26.
This helps confirm we have the correct answer.
Answer:
Decision: Support the null hypothesis.
Sample mean: -12
Step-by-step explanation:
Hello!
When deciding with a Confidence interval you have to keep in mind that the following conditions are met:
- The hypothesis and the interval are made for the same parameter.
- The hypothesis should be two-tailed.
- The interval and the test have to have complementary confidence and signification levels. This means that if the interval is made with 1 - α= 0.95 the hypothesis test should be made with α= 0.05.
H₀: μ₁ - μ₂= 0
H₁: μ₁ - μ₂≠ 0
α: 0.05
If the interval contains the cero, it means that there is no difference between the means, so you support the null hypothesis.
If the interval doesn't contain the cero, there is a difference between the two means, so you reject the null hypothesis.
The intervals to estimate the population mean have the following structure:
Estimator ± Margin of error
This means that the sample mean (point estimate of the population mean) is in the middle of the calculated interval. To know it's the value you have to do a simple calculation:
sample mean: 
sample mean: 
sample mean: -12
I hope it helps!
Answer:
2. Stepford is the least consistent in daily temperatures because its standard deviation is the highest.
Step-by-step explanation:
Standard deviation is the average amount that each data point is from the mean. The lower the standard deviation is, the closer each data point is to the mean; this means it is more consistent if it has a low standard deviation.
Stepford has the highest standard deviation; this means it is the most variable, or least consistent.