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Katyanochek1 [597]
3 years ago
15

At midnight, the temperature was 31.2°F. In the morning, the temperature was −6.7°F. Which statement describes the temperatures?

Mathematics
1 answer:
tigry1 [53]3 years ago
4 0
At midnight, the tempertuare was 31.2 degrees below 0, and in the morning, it was 6.7 degrees below 0
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(Full question above)
zlopas [31]

Answer:

B. 300

Step-by-step explanation:

Final figure volume = big cuboid volume - small cuboid volume

Volume of a cuboid = height x width x length

Final figure = (6 x 6 x 15) - (4 x 4 x 15)

Final figure = 540 - 240

Final figure = 300mm^2

5 0
3 years ago
The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

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

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
Is 8 quarts equal to 32 gallons
Fittoniya [83]

Answer:

no

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A rectangle has an area of 0.24 of a square. What are some possibility for the length and width of the rectangle? Tell why
VLD [36.1K]

Answer:

<h3>The possibilities of length and width of the rectangle are </h3><h3>x=1, y=0.24;</h3><h3>x=0.5, y=0.48;</h3><h3>x=0.25, y=0.96;</h3><h3>x=2, y=0.12</h3>

Step-by-step explanation:

Given that the area is 0.24 square meter

The area of a rectangle is given by

Area=length\times width square units

Let x be the length and y be the width.

Since the area is 0.24 square meter, we have the equation:

Area=x\times y = 0.24, with x and y measures in meters

If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.

Now choosing some values for "x", we have:

Put x = 1

1\times y = 0.24

∴ y = 0.24

Now put x = 0.5 we get

0.5\times y = 0.24

∴ y = 0.48

Put  x = 0.25

0.25\times y = 0.24

∴ y = 0.96

Put x = 2

2\times y = 0.24

∴ y = 0.12

8 0
3 years ago
Read 2 more answers
the graph of y=e^tanx-2 crosses the x axis at one point in the interval [0,1]. What is the slope of the graph at this point? I g
Svetlanka [38]
Y = e^tanx   -   2

To find at which point it crosses x axis we state that y= 0

e^tanx   - 2 = 0 
e^tanx = 2
tanx = ln 2
tanx = 0.69314
x = 0.6061

to find slope at that point first we need to find first derivative of funtion y.

y' = (e^tanx)*1/cos^2(x)

now we express x = 0.6061 in y' and we get:
y' = k = 2,9599
3 0
3 years ago
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