Using the normal distribution, it is found that the probability is 0.16.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It 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, which is the percentile of X.
In this problem, the mean and the standard deviation are given by, respectively,
.
The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:
X = 67:


Z = -1
Z = -1 has a p-value of 0.16.
X = 45:


Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at brainly.com/question/24663213
Answer:
<h2>The answer is - 7</h2>
Step-by-step explanation:
The slope of a line given two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
So the slope is

We have the final answer as
<h3>- 7</h3>
Hope this helps you
Answer:
he has 0.66 of fabrics remaining, 0.66 can be 33/50
Step-by-step explanation:
Answer:
17.0710678119 and 2.92893218813
Step-by-step explanation:
Theoretically, the wire should come out to be x+y=80,
and the sum of the areas of the squares should be (x/4)^2+(y/4)^2=300.
x/4 and y/4 being the length of one side of the square, we would then square that to find the area. The total wire is all x+y=80. X being one part and Y being the other.
Theoretically, using systems. i found the answers: 68.2842712474619,11.715728752538098
Again, these numbers are very large, and I they actually do both add up to each amount basically perfectly. If your teacher is asking for a rounded answer, that would've been helpful to know. But again, theoretically, those are the answers.