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german
2 years ago
10

The length of a side of a square whose perimeter is r units

Mathematics
1 answer:
Bezzdna [24]2 years ago
6 0

Answer: r/4 units

Step-by-step explanation: Each side of a square is of the same length, perimeter is the sum of the 4 length, length of a side of square = r/4 units

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The larger of to numbers is 12 more than the smaller. Their sum is 84. What are the two numbers?
Nataly_w [17]
36 and 48

a = b+12
a+b = 84

(b+12) + b =84
2b +12 = 84
2b = 72
b= 36

a = b + 12
a = 36 + 12
a = 48
3 0
3 years ago
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
If DF=7x-3 and EG=5x+9, find the value of X
PilotLPTM [1.2K]

Answer:

x=6

Step-by-step explanation:

Using the given measurements of the angles and the lengths of the sides, we can determine that this figure must be a <u>rectangle</u>.

Diagonals of a rectangle are <em>always</em> equivalent/congruent.

We can use this information to set up an equation:

DF=EG\\7x-3=5x+9

Add 3 to both sides:

7x-3+3=5x+9+3\\7x=5x+12

Subtract 5x from both sides:

7x-5x=5x-5x+12\\2x=12

Divide both sides by 2

\frac{2x}{2}=\frac{12}{2}\\x=6

3 0
2 years ago
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mafiozo [28]
X subtracted from y means y-x
(4x^2-4x+3)-(2x^2-6x-4)
4x^2-4x+3-2x^2+6x+4
4x^2-2x^2-4x+6x+3+4=
2x^2+2x+7
6 0
3 years ago
What is the value of <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1331%7D" id="TexFormula1" title="\sqrt[3]{1331}" alt="\s
Umnica [9.8K]

Answer:im not sure i wish i can help but goodluck

Step-by-step explanation:

7 0
3 years ago
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