Answer:
x = 5.5
Step-by-step explanation:
PM = MR
4x - 12 = -2x + 21 {add 2x to both the sides}
4x - 12 + 2x = -2x + 2x + 21
6x - 12 = 21 {Add 12 to both sides}
6x - 12 + 12 = 21 + 12
6x = 33
x = 33/6
x = 5.5
Answer:
It is 7
Step-by-step explanation:
They are vertical angle and need to be congruent.Their congruence is 105 so 14(7)+7=105
Answer:
Approximately 87 minutes
Step-by-step explanation:
So first see how much of the reading 41 minutes is. It is 47%.
So now to find out how much 100% is, first find out how much 1% is.
Just divide by 47.
1% = 
And then multiply by 100 to get 100%

That is 87.2340425532
Which is 87
Answer:
10.8 meters
Step-by-step explanation:
This situation forms a right triangle, where the length of the kite string is the hypotenuse, the distance from where it is held is the long leg, and the height is the short leg.
Use the pythagorean theorem to solve for c, the length of the kite string.
a² + b² = c²
6² + 9² = c²
36 + 81 = c²
117 = c²
10.8 = c
So, the length of the kite string is 10.8 meters
The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>
The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:


Given that:
Sample size (n) = 6965
Sample proportion 
The test statistics for this data can be computed as:



z = -2.73
From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.
Hence, the p-value for the test statistics can be computed as:
P-value = P(Z ≤ z)
P-value = P(Z ≤ - 2.73)
By using the Excel function =NORMDIST (-2.73)
P-value = 0.00317
P-value ≅ 0.003
Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
Learn more about hypothesis testing here:
brainly.com/question/15980493
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