Answer: 54
Step-by-step explanation:
Using z-scores, it is found that the value of z is z = 1.96.
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Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean 
and standard deviation 
, is given by:
- It measures how many standard deviations the measure is from the mean.
- Each z-score has an associated p-value, which is the percentile.
- The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
- The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
- The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
- Thus, the value of Z is 1.96.
A similar problem is given at brainly.com/question/16965597
Answer:
Any multiple of 10
Step-by-step explanation:
A factor is defined as "a number or quantity that when multiplied with another produces a given number or expression." For example, the factors of 20 are 1, 2, 4, 5, 10, and 20.
When we multiply 2 and 5 together, we get 10. Multiplying this by anything else besides 0 will still yield something that has 2 and 5 as factors, for example 2 times 5 times 3 is 30. As this is just the same thing as multiplying 10 by 3, the answer is any multiple of 10.
Answer: 47 and 16
Step-by-step explanation:
- Make Two Equations
x + y = 63
x - y = 31
- Set one of the equations equal to one of the variables
x + y = 63
x = 31 + y
- Substitute the equation back into the other one
(31 + y) + y = 63
31 + 2y = 63
2y = 32
y = 16
- Substitute the answer back into the equation
x + y = 63
x + 16 = 63
x = 47
the surface area of the above triangular prism is 156 square inches.
Step-by-step explanation:
multiply the sum of the triangle sides by the height of the prism and add the values together for the answer, remembering to include the correct unit of measurement.
