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vladimir1956 [14]

2 years ago

5

sam is making a project out of wood. he needs a board that is 2 3/4 feet long. he has a board that is 3 1/8 feet long. how much

does same need to cut from the board project?

1 answer:

damaskus [11]2 years ago

3 0

Answer:

3/8

Step-by-step explanation:

25/8 - 11/4. you multiply the whole part of the fraction to get the 25 and the 11

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denis-greek [22]

Answer:

=8+2(5-x)

=8+10-2x

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When parking a car in a downtown parking lot, drivers pay according to the number of hours or fraction thereof. The probability

Zigmanuir [339]

Answer:

u = 4.604 , s = 2.903

u' = 23.025 , s' = 6.49

Step-by-step explanation:

Solution:

- We will use the distribution to calculate mean and standard deviation of random variable X.

- Mean = u = E ( X ) = Sum ( X*p(x) )

u = 1*0.229 + 2*0.113 + 3*0.114 + 4*0.076 + 5*0.052 + 6*0.027 + 7*0.031 + 8*0.358.

u = 4.604

- Standard deviation s = sqrt ( Var ( X ) = sqrt ( E ( X^2) + [E(X)]^2

s = sqrt [ 1*0.229 + 4*0.113 + 9*0.114 + 16*0.076 + 25*0.052 + 36*0.027 + 49*0.031 + 64*0.358 - 4.604^2 ]

s = sqrt ( 8.429184 )

s = 2.903

- We will use properties of E ( X ) and Var ( X ) as follows:

- Mean = u' = E (Rate*X) = Rate*E(X) = $5*u =

u' = $5*4.605

u' = 23.025

- standard deviation = s' = sqrt (Var (Rate*X) ) = sqrt(Rate)*sqrt(Var(X)) = sqrt($5)*s =

s' = sqrt($5)*2.903

u' = 6.49

3 0

3 years ago

Find the height of the triangular pyramid when the volume is 318 square centimeters

yawa3891 [41]

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3 years ago

Three students were applying to the same graduate school. They came from schools with different grading systems. Student GPA Sch

stiv31 [10]

Answer:

Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whichever student's GPA had the higher z-score had the best GPA compared to other students.

Thuy 2.5 3.2 0.8

This means that $X = 2.5, \mu = 3.2, \sigma = 0.8$

The z-score is:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2.5 - 3.2}{0.8}$

$Z = -0.875$

Vichet 88 75 20

This means that $X = 88, \mu = 75, \sigma = 20$

The z-score is:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{88 - 75}{20}$

$Z = 0.65$

Kamala 8.9 8 0.4

This means that $X = 8.9, \mu = 8, \sigma = 0.4$

The z-score is:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{8.9 - 8}{0.4}$

$Z = 2.25$

Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.

7 0

3 years ago