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3 years ago

Triangles DEF and D'E'F' are shown on the coordinate plane below:

Mathematics

2 answers:

givi [52]3 years ago

8 0

Answer:

90° clockwise

Step-by-step explanation:

Lorico [155]3 years ago

5 0

The correct answer is:

90° clockwise

Explanation:

Comparing the image points to the pre-image points, we can see that in every ordered pair, x and y have been switched and x has been negated. Algebraically, this means (x, y)→(y, -x).

This is the same mapping that a 90° clockwise rotation performs, so that is our answer.

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3 years ago

Solve the equation?

stiks02 [169]

Answer:

Step-by-step explanation:

Given

p² + 2p - 8 = 0 ← in standard form

with a = 1, b = 2, c = - 8

Using the quadratic formula to solve for p

p = ( - 2 ± $\sqrt{2^2-(4(1)(-8))}$ / 2

= ( - 2 ± $\sqrt{4+32}$ / 2

= ( - 2 ± $\sqrt{36}$ ) / 2

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5 0

3 years ago

Read 2 more answers

The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and unive

gtnhenbr [62]

Answer: (0.8468, 0.8764)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ = sample proportion.

z* = Critical value

n= Sample size.

Let p be the true proportion of GSU Juniors who believe that they will, immediately, be employed after graduation.

Given : Sample size = 3597

Number of students believe that they will find a job immediately after graduation= 3099

Then, $\hat{p}=\dfrac{3099}{3597}\approx0.8616$

We know that , Critical value for 99% confidence interval = z*=2.576 (By z-table)

The 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation will be

$0.8616\pm(2.576)\sqrt{\dfrac{0.8616(1-0.8616)}{3597}}$

$0.8616\pm (2.576)\sqrt{0.0000331513594662}$

$\approx0.8616\pm0.0148\\\\=(0.8616-0.0148,\ 0.8616+0.0148)=(0.8468,\ 0.8764)$

Hence, the 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. = (0.8468, 0.8764)

4 0

3 years ago