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3 years ago

6

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 48 m

inutes and a standard deviation of 2 minutes. Using the empirical rule, what percentage of customers have to wait between 44 minutes and 52 minutes?

1 answer:

MissTica3 years ago

8 0

Both of those times are in two standard deviations, so the percent would be 95%.

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A drawbridge rises at a rate of 3 2/3 feet per minute. The drawbridge rises to a height of 50 feet. How long does it take the dr

k0ka [10]

Answer: Third option.

Step-by-step explanation:

You know that the drawbridge rises at a rate of $3\ \frac{2}{3}$ feet per minute. This means that the drawbridge rises $3\ \frac{2}{3}$ in a minutes.

Convert from mixed fraction to decimal number:

$3\ \frac{2}{3}\ ft=(3+0.66)\ ft=3.6\ ft$

Since the drawbridge rises to a height of 50 feet, you need to apply this procedure in order to find the time the drawbridge takes to completely rise:

$time=\frac{(1\ min)(50\ ft)}{3.66\ ft}=13.6\ min$ or $13\ \frac{7}{11}\ min$

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harkovskaia [24]

Answer:

6. r=2

8.x=3

Step-by-step explanation:

6. 4r-3=5

4r-3=5 add 3 to both sides

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5x-6=9 add 6 to both sides

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Nataly_w [17]

23=4w-13
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Use the segment addition postulate to write three equations using the diagram below

creativ13 [48]

Answer:

$PQ + QR = PR$ => equation 1

$RS + ST = RT$ => equation 2

$PR + RT = PT$ => equation 3

Step-by-step explanation:

Points P, Q, R, S, and T are collinear therefore, the following equations can be written based on the segment addition postulate:

$PQ + QR = PR$ => equation 1

$RS + ST = RT$ => equation 2

$PR + RT = PT$ => equation 3

More equations can actually be written from the diagram given using the segment addition postulate. Such as:

$PQ + QR + RS + ST = PT$

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3 years ago

What is the point slope form of the line with slope 25 that passes through the point (−4, −7)?

Arisa [49]

Answer:

Option A: $y+7 = 25(x+4)$ is the correct answer.

Step-by-step explanation:

The point-slope form of an equation of a line is given by:

$y-y_1 = m(x-x_1)$

Here:

m is the slope of the line

$(x_1,y_1)$ are the coordinates of the point from which the line passes.

Now looking at the given question:

$m = 25\\(x_1,y_1) = (-4,-7)$

Putting the values in the general form of point-slope form of equation of line

$y-(-7) = 25\{x-(-4)\}\\y+7 = 25(x+4)$

Hence, the point-slope form of given line is:

$y+7 = 25(x+4)$

Observing the option given, it can be concluded that Option A: $y+7 = 25(x+4)$ is the correct answer.

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