Using the normal distribution, the z-score that separates the bottom 70% from the top 30% is z = 0.525.
<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 z-score that separates the bottom 70% from the top 30% is <u>z with a p-value of 0.7</u>, hence z = 0.525.
More can be learned about the normal distribution at brainly.com/question/24537145
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Answer:
x=6
Step-by-step explanation:
3(3x-8)=4x+6
First you would distribute the 3 on the L side to the parenthasies
9x-24=4x+6
Then, you would subtract 4x from both sides because it is the smallest X value
5x-24=6
Add 24 to both sides (inverse operations)
5x=30
divide both sides by 5
x=6
Answer:
8 and 9.
Step-by-step explanation:
Let the two unknown numbers be a and b.
When added together, they equal 17. In other words:
a + b = 17.
The <em>difference</em> between five times the first number and three times the second number is 13. In other words:
5a - 3b = 13.
We have a system of equations. We can use substitution. From the first equation, we can derive a = 17 - b. Let's substitute this in:
5(17 - b) - 3b = 13
85 - 5b - 3b = 13
-8b = -72
b = 9
a = 17 - b.
a = 17 - 9 = 8.
Thus, the two numbers are 8 and 9.
Answer:
x=-3
y=-8
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