Answer:
93.32% probability of obtaining a value less than or equal to -7.
Step-by-step explanation:
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.
In this problem, we have that:
What is the likelihood of obtaining a value less than or equal to -7?
This is the pvalue of Z when X = -7.
So
has a pvalue of 0.9332.
So there is a 93.32% probability of obtaining a value less than or equal to -7.
For this case, the first thing we must do is define a variable.
We have then:
x: number of gift boxes.
We then have to write the inequation that models the problem:
"Mary bought more than 72 pencils"
"she packs 4 pencils each into x gift boxes"
We have then:
Simplifying we have:
Answer:
the inequality that represents this situation is:
The simplified form of the inequality is:
Answer:
17.5
Step-by-step explanation:
The perimeter is the sum of the side lengths:
perimeter = XZ +WZ +WX
The figure shows us WX = WZ, so we can rewrite the formula as ...
perimeter = XZ +2·WZ
Filling in the given values, this becomes ...
50 = 15 + 2·WZ
35 = 2·WZ
35/2 = WZ = 17.5
The length of WZ is 17.5 units.
it would be car d because of what the time was on the chart (i did the test and it was correct)
