Answer:
1.
40 students chose papa johns and 24 did not
2. 14 students chose dominos and 10 chose pizza hut
Step-by-step explanation:
1. set up a proportion like 5/8 x x/64 and cross mutliply like 8 times x and 5 times 64
The correct interpretation of the p-value is given by:
B If the average battery life really is 5 hours, then a sample of 10 observations having a sample mean of 4.25 hours or lower would only occur about 3.8% of the line.
<h3>How to find the p-value of a test?</h3>
It depends on the test statistic z, as follows:
- For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.
- For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.
- For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z, which means that the p-value for a two-tailed test is twice the p-value of a one-tailed test.
In this problem, a left-tailed test is used, as we are testing if the mean is less than 5 hours.
The sample mean from the 10 times was of 4.25, and the p-value is of 0.038, which means that the area to the left of Z under the normal curve is of 0.038, that is, a sample mean of 4.25 hours or lower would only occur about 3.8% of the line, hence option B is correct.
You can learn more about p-values at brainly.com/question/13873630
The sum is 61 for this equation.
A counterexample proves something wrong. To disprove "When it rains, it pours," you could give an example of a time when it rains and does not pour. What if it only rains a little? What if it rains frogs? How are you supposed to "pour" frogs? I dunno. This is sort of an open-ended question. I'd go with "It drizzles, but does not pour."
<u><em>Answer:</em></u>
y + 2 = 1 (x+3) ............> y + 2 = x + 3
<u><em>Explanation:</em></u>
<u>The general form of the equation of a line in point-slope form is:</u>
y - y₁ = m (x - x₁)
<u>where:</u>
m is the slope of the line
(x₁ , y₁) is a point that belongs to the line
<u>The general form of the equation of a line in slope-intercept form is:</u>
y = mx + c
<u>where:</u>
m is the slope
c is the y-intercept
<u>1- Getting the point:</u>
We are already given the point (-3 , -2) so we'll directly use it
<u>2- Getting the slope</u>
<u>We are given that our line is parallel to the line:</u>
y = 1x - 7
We know that parallel lines have equal slopes
<u>This means that:</u>
slope of the line we want = 1
<u>3- Getting the equation:</u>
Substitute with the point and slope in the above form to get the equation
<u>This is done as follows:</u>
y - y₁ = m (x - x₁)
y - (-2) = 1 (x - (-3))
y + 2 = 1 (x + 3)
y + 2 = x + 3
Hope this helps :)
