Answer: 55,808
Step-by-step explanation:
64* 872
Using the normal distribution, it is found that:
a) The rating would have to be of at least 9.78.
b) The z-score for a rating of 5 is of -1.53.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given by:
For item a, we have to find the 90th percentile, which is <u>X when Z = 1.28</u>, hence:
1.28 = (X - 7.6)/1.7
X - 7.6 = 1.28 x 1.7
X = 9.78.
The rating would have to be of at least 9.78.
For item b, we have to find <u>Z when X = 5</u>, hence:
Z = (5 - 7.6)/1.7
Z = -1.53.
The z-score for a rating of 5 is of -1.53.
More can be learned about the normal distribution at brainly.com/question/24808124
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Answer:
use your bar graph to answer the question just put 100 in each of the box
Step-by-step explanation:
The solutions to the inequalities are x >1 and x < 6
<h3>How to solve the inequalities?</h3>
The inequality expression is given as:
-2x + 5 < 3x + 10
Collect the like terms in the above inequality
-2x - 3x < 10 - 5
Evaluate the like terms
-5x < 5
Divide by -5
x >1
Also, we have
5(x - 2) <3x + 2
Open the bracket
5x - 10 < 3x + 2
Evaluate the like terms
2x < 12
Divide by 2
x < 6
Hence, the solutions to the inequalities are x >1 and x < 6
Read more about inequalities at
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Answer:
80
Step-by-step explanation:
You need to calculate the circumference of this wheel to determine how far it travels with each revolution.
First, you need to know the diameter of a circle, which is the length of a straight line drawn through the circle.
You need to calculate the circumference of this wheel to determine how far it travels with each revolution.
First, you need to know the diameter of a circle, which is the length of a straight line drawn through the circle.
The magic number here is pi, which is roughly 3.14159265. The digits to the right of the decimal point continue infinitely.
Dividing a circle’s circumference by pi will give you a circle’s diameter.
Multiplying a circle’s diameter by pi will give you a circle’s circumference.