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nirvana33 [79]
1 year ago
6

Function a(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e 6h. what

is the average rate of change in surface area of a cube as the edge length increases from 3 inches to 5 inches?
Mathematics
1 answer:
hram777 [196]1 year ago
6 0

<u> </u><u>48 square inches per inch </u><u> is the average rate of change in surface </u><u>area</u><u>.</u>

What is an area in math?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

The surface area of a cube of side length e is:

A(e) = 6 *e².

The rate of change is:

A'(e) = 2 * 6 * e

The average rate of change between 3 in and 5 in is:

r  = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in

Now, the options are given in:

"squere inches per inch"

This is written as:

in^2/in = in.

Then we can write our above rate as:

r = 48in = 48in^2/in = 48 square inches per inch.

Learn more about area

brainly.com/question/27683633

#SPJ4

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Hope this helps you out! ☺

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Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • He makes 90% of the free throws, hence p = 0.9.
  • He is going to shoot 3 free throws, hence n = 3.

The probability that he makes exactly 1 is P(X = 1), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027

0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

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miskamm [114]

Answer: The correct option is A.

Explanation:

The slope intercept form is,

y=mx+c

Where m is slope.

The point slope form is,

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Where m is slope.

On Comparing the first equation with slope intercept form, we get m = -8.

On Comparing the second equation with point slope form, we get m = -2.

On Comparing the third equation with slope intercept form, we get m = 7.

On Comparing the Fourth equation with point slope form, we get m = 6.

The steepest line have greatest absolute slope value.

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