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mel-nik [20]
3 years ago
10

A rectangle has the

Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0

Answer:

15.5 inches

Step-by-step explanation:

  • Length of rectangle = 22 inches
  • Perimeter = 75 inches

To calculate : Width of the rectangle.

★ Perimeter of rectangle = 2( l + w )

→ 75 = 2(22 + w)

→ 75 = 44 + 2w

→ 75 – 44 = 2w

→ 31 = 2w

→ 31 ÷ 2 = w

→ <u>1</u><u>5</u><u>.</u><u>5</u><u> </u><u>inches</u><u> </u><u>=</u><u> </u><u>Width</u>

Therefore, width of the rectangle is 15.5 inches.

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(04.02 MC)<br> Solve the system of equations.<br> 5x + y = 9<br> 3x + 2y = 4
goblinko [34]

Answer:

(2,-1)

Step-by-step explanation:

Multiply first equation by 2:

10x + 2y = 18

Subtract the second equation from this so that the 2y terms cancel:

10x - 3x = 18 - 4

7x = 14

x = 2

Plug into first equation to find y:

5(2) + y = 9

10 + y = 9

y = -1

The answer is (2,-1)

7 0
4 years ago
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Use powers to rewrite these problems: Example: 5 x 5 = 52
jeyben [28]

Answer:

<u>Problem A</u>

5 * 5 * x * x * x

5^2*x^3

<u>Problem B</u>

8 * 8 * 8

8^3

<u>Problem C</u>

4 * 4 * 4 * x * x * x * x

4^3*x^4

5 0
3 years ago
A.What is the slope
zhuklara [117]

Answer:

A. 1

B. -1

C. Proportional

D. y=x-1

7 0
3 years ago
How do I simplify 7x+4-3x+3
yanalaym [24]

Answer:

4x + 7

Step-by-step explanation:

7x+4-3x+3

First put the like terms together

7x+4-3x+3 = (7x - 3x) + (4 + 3)

                  = 4x + 7

7 0
3 years ago
Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. What p
klasskru [66]

Answer:

99.89% of students scored below 95 points.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 76.4, \sigma = 6.1

What percent of students scored below 95 points?

This is the pvalue of Z when X = 95. So

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

Z = \frac{95 - 76.4}{6.1}

Z = 3.05

Z = 3.05 has a pvalue of 0.9989.

99.89% of students scored below 95 points.

5 0
3 years ago
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