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3 years ago

Math. Find Mid point and fx

Mathematics

1 answer:

Yakvenalex [24]3 years ago

3 0

Answer: Option B.

Step-by-step explanation:

When we have an interval with lower bound m and upper bound M, such that:

m ≤ x ≤ M

The mid-point is:

(m + M)/2

in this case, we have:

m = 22

M = 27

then the mid-point is:

(22 + 27)/2 = 24.5

and we know that f = 7, then:

f*x = f times the mid-point = 7*24.5 = 171.5

The correct option is B.

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Answer:

Step-by-step explanation:

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3 years ago

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Mrrafil [7]

The graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

<h3>What is transformation of a function?</h3>

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.

The given function is,

$f(x) = x^3$

This function is changed to the function,

$g(x) = 2f(x -3),$

Here the 3 units is substrate in the function. Thus, it is shiftet 3 units right. The number 2 is multiplied in the function which vertically stretched the graph by a factor of 2.

Thus, the graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

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2 years ago

Given the slope is -5 and the y-intercept is -2, what is the equation of the line in slope-intercept form? A y = 5x + 2 B y = -5

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Answer:

B. y = -5x -2

Step-by-step explanation:

Fill in the given values in the form ...

y = (slope)x + (y-intercept)

y = -5x +(-2)

y = -5x -2 . . . . simplify; matches choice B

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3 years ago

What will the last payment be to pay off a $1,250 computer plus 8% sales tax with monthly payments of $120?

GrogVix [38]

Convert 8% too decimal form = 8/100 = .08
1250 * .08 = 100
1250 + 100 = 1350
To find out how many payments of 120 can be made :
120x = 1350
divide both sides by 120
x = 11.25 payments of $120
since .25 is a fraction calculate the actual $ amount by mult. 120 * .25 = $30
The last payment is $30

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3 years ago

Suppose we have a population whose proportion of items with the desired attribute is p = 0:5. (a) If a sample of size 200 is tak

crimeas [40]

Answer:

a. If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b. If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

Step-by-step explanation:

This problem should be solved with a binomial distribution sample, but as the size of the sample is large, it can be approximated to a normal distribution.

The parameters for the normal distribution will be

$\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/200}= 0.0353$

We can calculate the z values for x1=0.47 and x2=0.51:

$z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.0353}=-0.85\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.0353}=0.28$

We can now calculate the probabilities:

$P(0.47$

If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b) If the sample size change, the standard deviation of the normal distribution changes:

$\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/100}= 0.05$

We can calculate the z values for x1=0.47 and x2=0.51:

$z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.05}=-0.6\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.05}=0.2$

We can now calculate the probabilities:

$P(0.47$

If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

8 0

3 years ago

Math. Find Mid point and fx​

Math. Find Mid point and fx