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3 years ago

18. Write a similarity statement relating the three triangles in the diagram.

Mathematics

1 answer:

tankabanditka [31]3 years ago

3 0

Triangle VWY is congruent to triangle XWV which is congruent to triangle XVY

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Find the sum -2/3+0 Pls answer right

Mekhanik [1.2K]

Answer:

$- 1$

-1 is the answer in your questions

6 0

3 years ago

The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are

STALIN [3.7K]

Answer:

We conclude that the proportion of dropouts has changed from the historical value of 0.081.

Step-by-step explanation:

We are given that in 2009, the high school dropout rate was 8.1%. A polling company recently took a survey of 1000 people between the ages of 16 and 24 and found 6.5% of them are high school dropouts.

The polling company would like to determine whether the proportion of dropouts has changed from the historical value of 0.081.

Let p = proportion of school dropouts rate

SO, Null Hypothesis, $H_0$ : p = 0.081 {means that the proportion of dropouts has not changed from the historical value of 0.081}

Alternate Hypothesis, $H_A$ : p $\neq$ 0.081 {means that the proportion of dropouts has changed from the historical value of 0.081}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of high school dropout rate = 6.5%

n = sample of people = 1000

So, test statistics = $\frac{0.065-0.081}{{\sqrt{\frac{0.065(1-0.065)}{1000} } } } }$

= -2.05

Also, P-value is given by the following formula;

P-value = P(Z < -2.05) = 1 - P(Z $\leq$ 2.05)

= 1 - 0.97982 = 0.0202 or 2.02%

Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test. Since our test statistics does not lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the proportion of dropouts has changed from the historical value of 0.081.

7 0

4 years ago

2(y + 2y + 3y) please give me an answer

Daniel [21]

The answer to this question is 12y.

6 0

4 years ago

Read 2 more answers

(PLEASE ANSWER 50 POINTS)Write an equation of a line slope-intercept form with the given slope and y-intercept. Slope:3, y-inter

Levart [38]

Y=3x+2

the slope (mx) is 3
the y-intercept (b) is 2.

the equation form is y=mx+b

8 0

2 years ago

Three boys were running around the track. The first can run 1 lap in 15 min. The second can run 1 lap in 25 min. and the third c

Juliette [100K]

Answer:

At 15:15

Step-by-step explanation:

Given,

the 1st boy can run a lap in 15 minutes

the 2nd boy can run a lap in 25 minutes

the 3rd boy can run a lap in 10 minutes

Now if they start running at 12:45,they will meet after the time which will be equal to the L.C.M. of their time need to run a lap.

$L.C.M.$ of 15,25 & 10 = 150

So,they will pass each other after 150 minutes or 2 hours & 30 minutes.

If we add it with 12:45 we'll get 15:15 or 3:15 pm

3 0

4 years ago