CAN I PLZZ GET SOME HELP WITH MATHH
2 answers:
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The angle 5x will be 50⁰. Then the correct option is D.
<h3>What is a parallelogram?</h3>It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
The diagram is given below.
We know the sum of internal angles is 360 degrees.
Then we have
5x + 130 + 5x + 130 = 360
10x = 100
x = 10
Then the angle 5x will be
5x = 5(10)
5x = 50⁰
Then the correct option is D.
More about the parallelogram link is given below.
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Answer:
The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample mean is given by,
And the standard deviation of the distribution of sample mean is given by,
The information provided is:
<em>μ</em> = 144 mm
<em>σ</em> = 7 mm
<em>n</em> = 50.
Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.
Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.