The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.
<h3>What is a normal distribution?</h3>
The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
A.) The percentage of all possible values of the variable that lie between 5 and 9.
P(5<X<9) = P(X<9) - P(5<X)
= P(z<1.5) - P(-0.5<z)
= 0.9332 - 0.3085
= 0.6247
= 62.47%
B.) The percentage of all possible values of the variable that exceed 1.
P(X>1) = 1 - P(X<-2.5)
= 1-0.0062
= 0.9938
= 99.38%
C.) The percentage of all possible values of the variable that are less than 4.
P(X<4) = P(X <4)
= P(z<-1)
= 0.1587
= 15.87%
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9514 1404 393
Answer:
21.25 seconds
Step-by-step explanation:
In miles per second, the speed of the jet is ...
(720 mi/h)/(3600 s/h) = 1/5 mi/s
The speed of the sound is the same:
(1 mi)/(5 s) = 1/5 mi/s
Then the rate of closure between the airplane and the sound is ...
(1/5 mi/s) +(1/5 mi/s) = 2/5 mi/s
To find the time required to close a gap of 8 1/2 miles, we can use the relation ...
time = distance/speed
time = (8.5 mi)/(0.4 mi/s) = 21.25 s
The pilot will hear the thunder 21.25 seconds after the flash.
In order to find out what deal is better:
- We have to find the unit rate for each deal
- Total amount of paper towels ÷ The price
So it would be....
- 18 ÷ 14 = 1.285714
- 12 ÷ 10 = 1.2
Short Answer:
The better deal is 10 rolls of paper towels for $12.
Long Answer:
I wanted to find out the price per roll of paper towel for each deal so I created a unit rate problem which is the numerator divided by the denominator. From there, I was able to get my answers, compare which one was less than the other, and select the best deal.
Hopefully this helped >-<
Answer:
Area of the shaded region = (6x + 3)
Step-by-step explanation:
Area of the shaded region = Area of the large rectangle - Area of the small rectangle
Area of the large rectangle = Length × Width
= (x + 2)(x + 2)
= (x + 2)²
= x² + 4x + 4
Area of the small rectangle = (x - 1)(x - 1)
= (x - 1)²
= x² - 2x + 1
Area of the shaded region = (x² + 4x + 4) - (x² - 2x + 1)
= 6x + 3
Area of the shaded region = (6x + 3)
Answer: H is the correct answer
Step-by-step explanation:
First, Kendra deposited $78 into her savings. Then, she added $50 more which is 128. She withdraw $27 and was left with $101
