Answer:
y = 10 when x is -4
will be the correct answer
- For this study, we should use t-test and the null and alternative hypotheses would be given by H₀: μ = 7 and H₁: μ < 7.
- The test statistic is -1.941 and the p-value (0.0381) is <u>greater than</u> α = 0.01.
- Based on this, we should <u>fail to reject</u> the null hypothesis.
- Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.
<h3>What is a null hypothesis?</h3>
A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.
<h3>How to calculate value of the test statistic?</h3>
The test statistics can be calculated by using this formula:

<u>Where:</u>
- is the standard deviation.
- n is the number of hours.
For this study, we should use t-test and the null and alternative hypotheses would be given by:
H₀: μ = 7
H₁: μ < 7

t = -0.7/0.3606
t = -1.941.
For the p-value, we have:
P-value = P(t < -1.9412)
P-value = 0.0381.
Therefore, the p-value (0.0381) is <u>greater than</u> α = 0.01. Based on this, we should <u>fail to reject</u> the null hypothesis.
Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.
Read more on null hypothesis here: brainly.com/question/14913351
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We need to leave m alone on the right hand side, so let's move everything else to the left hand side.
First of all, we can subtract b from both sides to get

Now, we can divide both sides by c to get

And so we solved the expression for m, because we have written an expression in the form
, where the right hand side doesn't depend on m.
Answer:
5
Step-by-step explanation:
the median means the number in the middle so the number in the middle would be 5
Answer:
d = kr
Explanation:
We know that the depth (d) varies directly with the amount of rain (r).
This means that as the amount of rain increases, the depth increases and vice-versa.
The depth would depend on r multiplied by a constant of variation (k)
Translating this into equation, we would get the following:
d = kr
Hope this helps :)