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Sladkaya [172]
3 years ago
9

You throw a ball into the air from a height of 5 feet with an

Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0
Answer: 21 ft

X = -32/2(-16) = 1 = time

-16(1)^2 + 32(1) + 5 = 21 ft!
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The length of overline CD is 12 units. C^ prime D^ prime is the image of overline CD under a dilation with a scale factor of n.
Rufina [12.5K]

Answer:

A, D , and E

Step-by-step explanation:

We have that:

\overline{CD} = 12 \: units

\overline{C'D'}

is the image of CD after a dilation of scale factor n.

We use the relation between the image length and object length:

\overline{C'D'} = n \times \overline{CD}

Option A

If n=3/2, then

\overline{C'D'}  =  \frac{3}{2}  \times 12 = 3 \times 6 = 18 \: units

This is true.

Option B

If n=4, then

\overline{C'D'} = 4 \times 12 = 36 \: units

This is false.

Option C

If n=8, then

\overline{C'D'} = 8 \times 12 = 96 \: units

This too is false.

Option D

If n=2, then

\overline{C'D'} = 2 \times 12 = 24 \: units

This is true

Option E

If n=3/4, then

\overline{C'D'} =  \frac{3}{4}  \times  12

\overline{C'D'} =  3 \times 3 = 9 \: units

This is also true.

4 0
3 years ago
When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a
irga5000 [103]

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

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marusya05 [52]

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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