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morpeh [17]
3 years ago
7

The longest side of a triangle is 5 in. longer than the shortest side. The medium side is 4 in. longer than the shortest side. I

f the perimeter of the triangle is 24 ​in., what are the lengths of the three​ sides?
Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

Shortest=5, medium=9, longest=10

Step-by-step explanation:

x+x+5+x+4=24

3x+9=24

3x=15

x=5

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The heights of male are normally distributed with mean of 170 cm and standard deviation
Bumek [7]

Answer:

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

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 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.

Mean of 170cm and standard deviation of 7.5 cm.

This means that \mu = 170, \sigma = 7.5

Find the probability that a randomly selected male has a height > 180 cm.

This is 1 subtracted by the pvalue of Z when X = 180. So

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

Z = \frac{180 - 170}{7.5}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

4 0
3 years ago
Find the value of (x^2-5x + 4) if x = 7.
Alina [70]

Answer:

18

Step-by-step explanation:

4 0
3 years ago
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List and briefly describe the steps of the scientific method
shtirl [24]
Here’s a photo of what my bio teacher said for the Scientific method

3 0
2 years ago
Kayla knows that 1/16
Anastasy [175]

Answer:

The quotient is 0. 0625  and the empty boxes in remainder are 4 and 8 respectively

Step-by-step explanation:

Given: \frac{1}{16} or 1 divided by 16

Step 1: dividend is 1 and divisor 16 it is not divisible by 16  so the Quotient is 0 remainder is 1 .

Step 2: taking the decimal point above now dividend is 10 and divisor is 16 so it is again not divisible by 16 so the  quotient is 0.0 and remainder is 10 now bringing next 0 in remainder so the dividend becomes 100.

Step 3: now dividend is 100 and divisor is 16 which is divisible by 16 by 6 times which is 96 so the Quotient becomes 0.06 and remainder becomes 4 now bringing next 0 in remainder so the dividend becomes 40.

Step 4: now dividend is 40 and divisor is 16 which is divisible by 16 by 2 times which is 32 so the Quotient becomes 0.062 and remainder becomes 8 now bringing next 0 in remainder so the dividend becomes 80.

Step 5: now dividend is 80 and divisor is 16 which is divisible by 16 by 5 times which is 80 so the Quotient becomes 0.0625 and remainder becomes 0

5 0
3 years ago
Read 2 more answers
You might need: Calculator
Artist 52 [7]

Answer:

117 pages

Step-by-step explanation:

114 + 3 = x

x = 117

5 0
3 years ago
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