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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%
Learn more about Normal Distribution:
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Find the side length:
Side = 68/4 = 17
Now use Pythagorean theorem:
Diagonal = sqrt(17^2 + 17^2)
Diagonal = sqrt(289 + 289)
Diagonal = sqrt(578)
Diagonal = 24 feet
The answer is B. 24 feet
Answer:
6
Step-by-step explanation:
yoy would subtract the 6x by the 4x getting -2x+10= -2. then you would subtract the 10 from the -2 and get -2x=-12. last divide the -2 by -12 giving you positive 6
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem. The hypotenuse, 14 square should be equal to the sum of x squared + 10 squared.
14^2 = 196
10^2 = 100.
So, 196 = 100 + x^2