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3 years ago

15

Do rectangle I and rectangle II have equal perimeter, if rectangle I dimensions a and b, and rectangle II has dimensions a-2 and

b+2, where a>2 and b>0

1 answer:

Yuri [45]3 years ago

4 0

Answer:

Step-by-step explanation:

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A rectangular prism measures 3ft by 6ft by 5ft. If the dimensions of the box were all quadrupled. How would the surface area of

Blababa [14]

The surface area of a shape is the amount of space on the shape

When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area

<h3>How to determine the surface area</h3>

The surface area of a rectangular prism is:

$S = 2 * (lw + lh + wh)$

When quadrupled, we have:

$S_2 = 2 * (16lw + 16lh + 16wh)$

Factor out 16

$S_2 =16 * 2 * (lw + lh + wh)$

Substitute $S = 2 * (lw + lh + wh)$

$S_2 =16 * 2 * S$

The above means that:

The new surface area would be 16 times the initial surface area

Read more about surface areas at:

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4. Evaluate e^-2 to one decimal place <br> A) 0.7<br> B) -1.4<br> C) 0.1<br> D) 1.4

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3 years ago

What is the length of the missing leg?

kari74 [83]

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A certain brand of automobile tire has a mean life span of 35,000 miles, with a standard deviation of 2250 miles. Assume the lif

yawa3891 [41]

Answer:

Step-by-step explanation:

From the information given:

mean life span of a brand of automobile = 35,000

standard deviation of a brand of automobile = 2250 miles.

the z-score that corresponds to each life span are as follows.

the standard z- score formula is:

$z = \dfrac{x - \mu}{\sigma}$

For x = 34000

$z = \dfrac{34000 - 35000}{2250}$

$z = \dfrac{-1000}{2250}$

z = −0.4444

For x = 37000

$z = \dfrac{37000 - 35000}{2250}$

$z = \dfrac{2000}{2250}$

z = 0.8889

For x = 3000

$z = \dfrac{30000 - 35000}{2250}$

$z = \dfrac{-5000}{2250}$

z = -2.222

From the above z- score that corresponds to their life span; it is glaring that the tire with the life span 30,000 miles has an unusually short life span.

For x = 30,500

$z = \dfrac{30500 - 35000}{2250}$

$z = \dfrac{-4500}{2250}$

z = -2

P(z) = P(-2)

Using excel function (=NORMDIST -2)

P(z) = 0.022750132

P(z) = 2.28th percentile

For x = 37250

$z = \dfrac{37250 - 35000}{2250}$

$z = \dfrac{2250}{2250}$

z = 1

Using excel function (=NORMDIST 1)

P(z) = 0.841344746

P(z) = 84.14th percentile

For x = 35000

$z = \dfrac{35000- 35000}{2250}$

$z = \dfrac{0}{2250}$

z = 0

Using excel function (=NORMDIST 0)

P(z) = 0.5

P(z) = 50th percentile

6 0

3 years ago