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3 years ago

What is the simplified form of the following expression?

Mathematics

1 answer:

madam [21]3 years ago

6 0

Answer:

B. 242

Step-by-step explanation:

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A telemarketer is paid a fixed amount of $15 in addition to $2 per call. If the average cost per call is $3, find the number of

Schach [20]

$10 because 2 and 3 add together and subtract 15 equals 10

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2 years ago

Which choice is equivalent to the expression below? HELP PLEASE THE PROBLEM IS ON THE PICTURE!!!!!!!

zvonat [6]

The correct answer is C

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3 years ago

In 2008, data from the Center for Disease Control revealed that 28.5% of all male teenagers, aged 18-19 and attending U.S. colle

m_a_m_a [10]

Answer:

a) H0 : u = 28.5%

H1 : u < 28.5%

b) critical value = - 1.645

c) test statistic Z= - 1.41

d) Fail to reject H0

e) There is not enough evidence to support the professor's claim.

Step-by-step explanation:

Given:

P = 28.5% ≈ 0.285

X = 210

n = 800

$p' = \frac{X}{n} = \frac{210}{800} = 0.2625$

Level of significance = 0.05

a) The null and alternative hypotheses are:

H0 : u = 28.5%

H1 : u < 28.5%

b) Given a 0.05 significance level.

This is a left tailed test.

The critical value =

$-Z_0.05 = -1.645$

The critical value = -1.645

c) Calculating the test statistic, we have:

$Z = \frac{p' - P}{\sqrt{\frac{P(1-P)}{n}}}$

$Z = \frac{0.2625 - 0.285}{\sqrt{\frac{28.5(1-28.5)}{800}}}$

Z = -1.41

d) Decision:

We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645

e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.

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3 years ago

What is the slope of the line that passes through the points (-2, 5) and (1, 4)

egoroff_w [7]

The slope of the line is delta y / delta x, so the answer is: -1/3.

7 0

3 years ago

A, B, and C are midpoints of ∆XYZ. What is the length of cy

iogann1982 [59]

Answer:

$XY=36\ units$

Step-by-step explanation:

The correct question is

A, B, and C are midpoints of ∆XYZ. What is the length of XY

we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

step 1

Find the length of YZ

$AB=\frac{1}{2}YZ$

we have

$AB=24\ units$

substitute

$24=\frac{1}{2}YZ$

solve for YZ

$YZ=48\ units$

step 2

Find the length of XY

Applying Pythagoras Theorem in the right triangle XYZ

$XZ^2=XY^2+YZ^2$

substitute the given values

$60^2=XY^2+48^2$

solve for XY

$3,600=XY^2+2,304$

$XY^2=3,600-2,304$

$XY^2=1,296$

$XY=36\ units$

Applying the Midpoint Theorem

$BC=\frac{1}{2}XY$ -----> $BC=\frac{1}{2}(36)=18\ units$

$AC=\frac{1}{2}XZ$ -----> $AC=\frac{1}{2}(60)=30\ units$

5 0

3 years ago