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aleksley [76]
3 years ago
11

Which is the image of P(4, 7) after a translation along < 1, 3 >?

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Given:

The point is located at P(4,7).

It is translated along \left.

To find:

The image of the given point after the translation.

Solution:

The point is translated along \left. So, the rule of translation is defined by:

(x,y)\to (x+1,y+3)

The point is located at P(4,7).

Using the above rule, we get

P(4,7)\to P'(4+1,7+3)

P(4,7)\to P'(5,10)

The image of given point after the translation is (5,10).

Therefore, the correct option is A.

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Assume the hold time of callers to a cable company is normally distributed with a mean of 5.5 minutes and a standard deviation o
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Answer:

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Step-by-step explanation:

Given:

A normally distributed data.

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Standard deviation, \sigma = 0.4 mins

We have to find the callers percentage who are on hold between 5.4 and 5.8 mins.

Lets find z-score on each raw score.

⇒ z_1=\frac{x_1-\mu}{\sigma}   ...raw score,x_1 = 5.4

⇒ Plugging the values.

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⇒ z_1=-0.25  

For raw score 5.5 the z score is.

⇒ z_2=\frac{5.8-5.5}{0.4}  

⇒ z_2=0.75

Now we have to look upon the values from Z score table and arrange them in probability terms then convert it into percentages.

We have to work with P(5.4<z<5.8).

⇒ P(5.4

⇒ P(-0.25

⇒ P(z

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⇒ 0.7734-0.4013

⇒ 0.3721

To find the percentage we have to multiply with 100.

⇒ 0.3721\times 100

⇒ 37.21 %

The percent of callers who are on hold between 5.4 minutes to 5.8 minutes is 37.21

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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