In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of t
2 answers:
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ANSWER
The midpoint of both diagonals is
EXPLANATION
We can use either diagonals to determine the midpoint.
We use the midpoint formula
Let us use the first diagonals H(-2,2) and J(4,-2)
Using the second diagonals also gives,
The midpoint of both diagonals is
EXPLANATION
We can use either diagonals to determine the midpoint.
We use the midpoint formula
Let us use the first diagonals H(-2,2) and J(4,-2)
Using the second diagonals also gives,
Answer:
Step-by-step explanation:
step 1
Find PN
we know that
PN is a diameter
PS is a radius
so
step 2
Find the measure of arc MP
step 3
Find the measure of angle MNP
we know that
The inscribed angle measures half that of the arc comprising
substitute the value
step 4
Find the measure of angle MPN
we know that
The inscribed angle measures half that of the arc comprising
substitute the value
step 5
Find the measure of angle NMP
The sum of the internal angles of a triangle must be equal to 180 degrees
therefore
The triangle MNP is a right triangle
step 6
Find the length MN
In the right triangle MNP
substitute the values
Part 1:
Given a number line with the point
and the point 
The sampling error is given by:
Part 2:
Given a number line with the point
and the point 
The sampling error is given by:
Given a number line with the point
The sampling error is given by:
Part 2:
Given a number line with the point
The sampling error is given by:
Answer:
We conclude that less than or equal to 90% of all orders are mailed within 72 hours after they are received which means the company's claim is not true.
Step-by-step explanation:
We are given that the company claims that more than 90% of all orders are mailed within 72 hours after they are received. The quality control department at the company often takes samples to check if this claim is valid.
A recently taken sample of 175 orders showed that 161 of them were mailed within 72 hours.
<u><em>Let p = percentage of all orders that are mailed within 72 hours.</em></u>
SO, Null Hypothesis, : p
90% {means that less than or equal to 90% of all orders are mailed within 72 hours after they are received}
Alternate Hypothesis, : p > 90% {means that more than 90% of all orders are mailed within 72 hours after they are received}
The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;
T.S. = ~ N(0,1)
where, = proportion of orders that were mailed within 72 hours in a sample of 175 =
= 92%
n = sample of orders = 175
So, <u><em>test statistics</em></u> =
= 0.975
The value of the test statistics is 0.975.
<em>Now at 1% significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is less than the critical value of z as 0.975 < 2.3263, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><em><u>we fail to reject our null hypothesis</u></em><em>.</em>
Therefore, we conclude that less than or equal to 90% of all orders are mailed within 72 hours after they are received which means the company's claim is not true.