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3 years ago

Point N(7, 4) is translated 5 units up.

Mathematics

1 answer:

lutik1710 [3]3 years ago

5 0

It is given in the question that

Point N(7, 4) is translated 5 units up.

And we have to find the coordinates of its image after this transformation.

Since the point translated up by 5 units, so the x coordinate remains same and we have to add 5 to y coordinate.

So the new coordinate after the transformation is

$N'(7+5,4)
\\
N'(12,4)$

And that's the required coordinate after the given transformation .

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A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 157.4 seconds. A

Oduvanchick [21]

Answer:

a) The probability that a randomly selected car will get through the restaurant's drive-through in less than 105 seconds is 5.59%.

b) The probability that a randomly selected car will spend more than 195 seconds in the restaurant's drive-through is 12.71%

Step-by-step explanation:

Normally distributed problems can be solved by the z-score formula:

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

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

After we find the value of Z, we look into the z-score table and find the equivalent p-value of this score. This is the probability that a score will be LOWER than the value of X.

A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 157.4 seconds. This means that $\mu = 157.4$

Assuming drive-through times are normally distributed with a standard deviation of 33 seconds. This means that $\sigma = 33$ .

(a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 105 seconds?

This probability is the pvalue of the zscore of $X = 105$

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

$Z = \frac{105 - 157.4}{33}$

$Z = -1.59$

$Z = -1.59$ has a pvalue of .0559. This means that there is a 5.59% probability that a randomly selected car will get through the restaurant's drive-through in less than 105 seconds,

(b) What is the probability that a randomly selected car will spend more than 195 seconds in the restaurant's drive-through?

This is 1 subtracted by the pvalue of the zscore of $X = 195$ .

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

$Z = \frac{195 - 157.4}{33}$

$Z = 1.14$

$Z = 1.14$ has a pvalue of .87286. This means that there is a 87.286% probability that a randomly selected car will get through the restaurant's drive-through in less than 195 seconds.

So the probability that a randomly selected car will spend more than 195 seconds in the restaurant's drive through is

$P = 1 - .87286 = .1271$

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3 years ago

How do you turn a fraction into a decimal?

GalinKa [24]

You can turn a fraction into a decimal by dividing.

Example: 1/2

1 divided by 2 = 0.5

4 0

3 years ago

Can some one please help me with this math question? Please and thank you

Bond [772]

Answer:

$V = 6373.2cm^3$

Step-by-step explanation:

Given

$V = \frac{4}{3}\pi r^3$ --- Volume

$D = 23cm$ --- Diameter

Required

Find the volume

First, we calculate the radius, r

$r = \frac{1}{2}D$

Substitute 23 for D

$r = \frac{1}{2} * 23$

$r = 11.5$

Substitute 11.5 for r in $V = \frac{4}{3}\pi r^3$

$V = \frac{4}{3} * \frac{22}{7} * 11.5^3$

$V = \frac{4*22*11.5^3}{3*7}$

$V = \frac{133837}{21}$

$V = 6373.19047619$

$V = 6373.2cm^3$

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3 years ago

Jessica and Robert have two young children. They have $7,000 of qualified child care expenses and an AGI of $22,000 in 2019. Wha

Effectus [21]

Answer:

$1,860

Step-by-step explanation:

The 20%-35% from up to $6,000 of expenses paid for two or more Qualifying Persons. The percentage falls by 1% for every additional $2,000 of income until it reaches 20%.

22,000+7,000-6,000-15,000=8000/2000= 4%

35%-4%= 31%

31% × $6,000, the maximum qualified child care.

$1,860

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3 years ago

If f(x)=-1/3, what is the value of f(-3)

Dmitrij [34]

Answer:

Step-by-step explanation:

f(-3)=-1/3=-3 then crisscross

-3*3=-1

-9=-1 divide by -1

f(-3)=9

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3 years ago