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2 years ago

2. A rectangle has a perimeter of 100. Its

Mathematics

1 answer:

slava [35]2 years ago

8 0

Answer:

Option H

Step-by-step explanation:

Perimeter of rectangle= 2(length) +2(width)

100= 2(5a -22) +2[½(a +1)]

Expand:

100= 2(5a) +2(-22) +a +1

100= 10a -44 +a +1

Simplify:

100= 11a -43

+43 on both sides:

11a= 100 +43

11a= 143

Divide both sides by 11:

a= 143 ÷11

a= 13

Thus, option H is correct.

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The heights of a certain type of tree are approximately normally distributed with a mean height y = 5 ft and a standard

Arisa [49]

Answer: Fourth Option:

"A tree with a height of 6.2 ft is 3 standard deviations above the mean"

Step-by-step explanation:

It is said that an X value is found Z standard deviations from the mean mu if:

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

In this case we have that:

$\mu=5\ ft$

$\sigma=0.4\ ft$

We have four different values of X and we must calculate the Z-score for each

For $X =5.4\ ft$

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

$Z=\frac{5.4-5}{0.4}=1$

This means that: A tree with a height of 5.4 ft is 1 standard deviation above the mean

First Option: False

For $X =4.6\ ft$

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

$Z=\frac{4.6-5}{0.4}=-1$

This means that: A tree with a height of 4.6 ft is 1 standard deviation below the mean

Second Option: False

For $X =5.8\ ft$

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

$Z=\frac{5.8-5}{0.4}=2$

This means that: A tree with a height of 5.8 ft is 2 standard deviation above the mean

Third Option: False

For $X =6.2\ ft$

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

$Z=\frac{6.2-5}{0.4}=3$

This means that: A tree with a height of 6.2 ft is 3 standard deviations above the mean.

Fourth Option: True

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3 years ago

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The average vertical jump for a player on the high school basketball team is 30 inches. The actual height varies by

LekaFEV [45]

Answer: 28 <= h <= 32

Step-by-step explanation:

the actual height can be at most 2inches higher or lower than the average

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2 years ago

The population of a town in Utah in 1997 was 6000. After two years, the population of this town was 145% of the 1997 population.

ELEN [110]

Answer:

The answer is C

Step-by-step explanation:

145% x 6000 = 8700

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3 years ago

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Which system of equations below has exactly one solution?

marysya [2.9K]

That is the third choice.

If we add the 2 equations we get

2y = -12 so y = -6

substituting in one of the equations we get x = 0

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3 years ago

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One angle measure in an obtuse isosceles triangle is 40 . what is the measure of one of the other angles? 70 100 120 140

SCORPION-xisa [38]

Hello:
40+40+x=180
x=180-80
x=100°

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2 years ago