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Sholpan [36]
3 years ago
5

There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club

.
a. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club.
Mathematics
1 answer:
g100num [7]3 years ago
8 0
Given:
64 total students
x = drama club students
y = yearbook club students

x = y + 10
y = 64 - x

y = 64 - x
y = 64 - (y + 10)
y = 64 - y - 10
y + y = 64 - 10
2y = 54
2y/2 = 54/2
y = 27

x = y + 10
x = 27 + 10
x = 37 

To check:

x + y = 64
37 + 27 = 64
64 = 64

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Answer:

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Step-by-step explanation:

The net of the right triangular prism consists of 3 rectangles and 2 equal triangles

Let's solve for the area of each:

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L = 11

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Area of rectangle 1 = 11*3 = 33 units²

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✔️Area of rectangle 3 = L*W

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Area of rectangle 3 = 11*5 = 55 units²

✔️Area of the two triangles = 2(½*base*height)

base = 4

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Area of the two traingles = 2(½*4*3)

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✔️Surface area of the right triangle = area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of the two triangles

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SashulF [63]

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All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca
lys-0071 [83]

Answer:

1.32% of students have the chance to attend the charter school.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.

This means that \mu = 82, \sigma = 4.5

a.What is the percentage of students who have the chance to attend the charter school?

Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So

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

Z = \frac{92 - 82}{4.5}

Z = 2.22

Z = 2.22 has a pvalue of 0.9868

1 - 0.9868 = 0.0132

0.0132*100% = 1.32%

1.32% of students have the chance to attend the charter school.

7 0
3 years ago
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