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Jlenok [28]
3 years ago
12

There are two calculus classes at your school. Both classes have a class average of 75.5. The first class has a standard deviati

on of 10.2 and the second has a standard deviation of 22.5. How do the classes compare?
Question 3 options:

They are about the same.


The second class has higher grades than the first.


The first class' scores are closer together and the second's score are more spread out.


The second class' scores are closer together and the first's score are more spread out.
Mathematics
1 answer:
romanna [79]3 years ago
6 0

Answer:

idk sorry

Step-by-step explanation:

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A weather service records 28.8 inches of rain over a 12 month period. What is the average rainfall per month for the year?
Basile [38]

Answer:

B) 2.4 inches

Step-by-step explanation:

The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in <em>one </em>month you need to divide the total by the amount of months. 28.8/12 = 2.4

6 0
3 years ago
The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use 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 question:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

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

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

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

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

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

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0
3 years ago
ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches?
Snezhnost [94]

Answer:

64(in)^{3}

Step-by-step explanation:

The volume of a box is equal to the length l times the width w times the height h.

(lenght) \times (width) \times (height)

Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.

8 \times 2 \times 4

Multiply 8 by 2.

16 \times 4

Multiply 16 by 4.

64 {in}^{3}

Hence, the volume of the rectangle prism is 64(in)³.

4 0
3 years ago
Read 2 more answers
Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and
Anastasy [175]

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = \frac{-8-1}{5-2} = \frac{-9}{3} = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1) , then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

6 0
3 years ago
Read 2 more answers
Is circumference cubed, squared, or just left alone?​
irakobra [83]

Circumference is a linear distance. So if the diameter is in feet, then the circumference is also in feet (not square feet or cubic feet)

-------------------------------------

Example:

Let's say we had a circle with diameter d = 10 feet

The circumference is approximately...

C = pi*d

C = 3.14*10

C = 31.4

The circumference is roughly 31.4 feet

The circumference is essentially the distance around the circle's edge. We can use a flexible ruler or a string to help measure out this distance, or you can imagine laying the circle's edge to be placed along a straight line, which is another way to help measure the perimeter.

5 0
3 years ago
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