The formula for converting temperature from Fºto Cº is given below. If the
1 answer:
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Answer:
0.0174 = 1.74% probability that the sample mean would be greater than 101.63 WPM
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
;
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
What is the probability that the sample mean would be greater than 101.63 WPM?
This is 1 subtracted by the pvalue of Z when X = 101.63. So
By the Central Limit Theorem
has a pvalue of 0.9826.
1 - 0.9826 = 0.0174
0.0174 = 1.74% probability that the sample mean would be greater than 101.63 WPM
Answer:
<u><em>1.) 20.2</em></u>
Step-by-step explanation:
1.) You need to use the distance formula:
Find the distance of A to B first:
B to C:
C to A:
Add distances to find the perimeter:
2.) Part A:
You need to use the mid-point formula:
Part B:
1. Use the slope-intercept formula:
M as the slope, b the y-intercept.
Find the slope of the two points A and B using the slope formula:
Insert slope as m into equation.
Take point A as coordinates and insert into the equation. Solve for the intercept, b:
Insert the value of b into the equation.
2. Use the mid-point coordinate. Take the slope.
If you need to find the perpendicular bisector, you will take the negative reciprocal of the slope. Switch the sign and flip it. Ex:
Insert the new slope into the slope-intercept equation as m.
Take the mid-point coordinate as (x,y) and insert into the equation with the new points. Solve for b.
Insert the value of b.