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Ivan
3 years ago
5

s there a dilation that maps shape II onto shape I? If so, what is the scale factor and is it an enlargement or a reduction?

Mathematics
1 answer:
Agata [3.3K]3 years ago
7 0

Answer:

Enlargement.

Scale Factor: 3

Step-by-step explanation:

Use points to find the enlargement. Typically, you will use all the points.

A(1 , 1) ⇒ A'(3 , 3)

B(2 , 1) ⇒ B'(6 , 3)

C(1 , 2) ⇒ C'(3 , 6)

D(2 , 2) ⇒ D'(6 , 6)

To find the scale factor, simply divide the Point' with the original Point. Use any number.

A'(3 , 3)/(A(1 , 1)) = 3

B'(6 , 3)/(B(2 , 1)) = 3

C'(3 , 6)/(C(1 , 2)) = 3

D'(6 , 6)/(D(2 , 2)) = 3

Your scale factor is 3.

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A human resource manager wants to see if there is a difference in the proportion of minority applicants who get the job and the
mash [69]

Answer:

Error Bound = 0.04

Step-by-step explanation:

Whenever we want to estimate parameter from a subset (or sample) of the population, we need to considerate that your estimation won't be a 100% precise, in other words, the process will have a random component that prevents us from always making the exact decision.

With that in mind, the objective of a confidence interval is to give us a better insight of where we expect to find the "true" value of the parameter with a certain degree of certainty.

The estivamative of the true difference between proportions was -0.19 and the confidence interval was [-0.23 ; -0.15].

The question also defines the error bound, as the right endpoint of the confidence interval minus the sample mean difference, so it's pretty straight foward:

Error Bound = -0.15 -(-0.19) = -0.15 + 0.19 = 0.04

The interpretation of this would be that we expect that the estimative for the difference of proportions would deviate from the "true" difference about \pm 0.04 or 4%.

6 0
4 years ago
At the beginning of the week the balance in your checkbook was $298.72. During the week you made a deposit of $425.69. You also
Furkat [3]

Hello!

Throughout this problem, we will add or subtract values from our original balance.

In your checkbook, there was 298.72 dollars, and then you deposited 425.69 dollars. The function you would do is addition.

$298.72 + 425.69 = $724.41

If you wrote a check, then the amount you wrote is removed from your checkbook.

$724.41 - $29.72 - $135.47- $208.28 = $350.94

Then, the bank deducted 5 dollars from your account.

$350.94 - $5.00 = $345.94

This leaves you with $345.94 at the end of the week.

Therefore, your answer is choice C, $345.94.

4 0
3 years ago
Read 2 more answers
Which piece wise function is graphed below
AlekseyPX

Answer:

Option A

Step-by-step explanation:

Here is how to approach the problem:

We see that all our restrictions for all four answer choices are relatively the same with a couple of changes here and there.
One way to eliminate choices would be to look at which restrictions don't match the graph.

At x<-5, there is a linear function that does have a -2 slope and will intersect the x axis at -7. The line ends with an open circle, so any answer choice with a linear restriction of x less than or equal to -5 is wrong. This cancels out choices C and D.

Now we have two choices left.

For the quadratic in the middle, the vertex is at (-2,6) and the vertex is a maximum, meaning our graph needs to have a negative sign in front of the highest degree term. In our case, none of our quadratics left are in standard form, and instead are in vertex form.

Vertext form is f(x) = a(x-h)^2 + k.

h being the x-coordinate of the vertex and k being the y-coordinate.

We know that the opposite of h will be the actual x-coordinate of the vertex, so if our vertex is -2, we will see x+2 inside the parenthesis. This leaves option A as the only correct choice.

3 0
3 years ago
What is the value of 3 in 136,422
aliina [53]
The three refers to 3 ten thousands.  or 3 x 10,000.
5 0
3 years ago
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What number must you add to complete the square x^-8x=39
notsponge [240]

Answer:

Given equation: x^2-8x =39

when we complete the square , we take half of the value of 8 , then square it, and added to the left sides, we get;

x^2-8x+4^2 = 39 +4^2

∵8 is the value (\frac{8}{2})^2

Notice that, we add this both sides so that it maintains the equality.

then;

x^2-8x+4^2 = 39 +4^2

(x-4)^2 = 39 + 16   [ (a-b)^2 = a^2-2ab+b^2 ]

Simplify:

(x-4)^2 =55

The number must be added to complete the square is, 4^2 = 16



3 0
3 years ago
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