Answer:
<em><1 = <5 ( because it is a corresponding angle and corresponding angles are always </em><em> </em> <em>equal</em><em> </em><em>)</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>answer</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em> </em>
<em>have</em><em> </em><em>a</em><em> </em><em>great</em><em> </em><em>time</em><em> </em>
Answer:
e. The probability of observing a sample mean of 5.11 or less, or of 5.29 or more, is 0.018 if the true mean is 5.2.
Step-by-step explanation:
We have a two-tailed one sample t-test.
The null hypothesis claims that the pH is not significantly different from 5.2.
The alternative hypothesis is that the mean pH is significantly different from 5.2.
The sample mean pH is 5.11, with a sample size of n=50.
The P-value of the test is 0.018.
This P-value corresponds to the probability of observing a sample mean of 5.11 or less, given that the population is defined by the null hypothesis (mean=5.2).
As this test is two-tailed, it also includes the probability of the other tail. That is the probability of observing a sample with mean 5.29 or more (0.09 or more from the population mean).
Then, we can say that, if the true mean is 5.2, there is a probability P=0.018 of observing a sample of size n=50 with a sample mean with a difference bigger than 0.09 from the population mean of the null hypothesis (5.11 or less or 5.29 or more).
The right answer is e.
Answer:
A.
Step-by-step explanation:
Substituting the ordered pairs into the equation. 3x - y/4 = 11
For (3,-8)
3 * 3 - (-8)/4
9- (-2) = 11
For (4, 4)
3 * 4 - 4/4
12 - 1 = 11
Both ordered pairs equals to 11, therefore, they're both solutions to the equation.
Answer:

Step-by-step explanation:
The formula of a volume of a cone:

r - radius
H - height
We have
r = (7 : 2) in = 3.5 in
H = 4 in
Substitute:


Answer:
option 3
Step-by-step explanation:
V= πr²h
to make h the subject
h= V÷πr²
just take πr² to the other side
as it in multiplication on the left hand side, it will in division in right hand side.
hope it helps!