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natka813 [3]
3 years ago
9

Anybody know this ???

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer:

9)

- Distributive Property

- Addition

- Simplify

10)

- Combine like terms (in this case, x)

- Distributive Property

- Simplify

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WILL GIVE BRAINLIEST!!!
ryzh [129]

Step-by-step explanation:

The shaded area shows the region where it is enclosed in sample space S but does not include the subset B.

Hence it is the complement of B. (A)

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3 years ago
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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.

<em>Let p = proportion of school dropouts rate</em>

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

<u>Alternate Hypothesis</u>, 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 <u>One-sample z proportion statistics</u>;

             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, <u><em>test statistics</em></u>  =   \frac{0.065-0.081}{{\sqrt{\frac{0.065(1-0.065)}{1000} } } } } 

                               =  -2.05

<u>Also, P-value is given by the following formula;</u>

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

                                              = 1 - 0.97982 = <u>0.0202</u> or 2.02%

<em>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.</em>

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

7 0
3 years ago
Which is the larger fraction ?
ratelena [41]

Answer:

To get the reciprocal of a fraction, just turn it upside down. Like this: 3. 4. A Fraction ... Convert it to an improper fraction: 213 = 6 3 + 1 3 = 7 3 2.

Step-by-step explanation:

6 0
3 years ago
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A jacket is on sale for 170 this 80% of the regular price
Free_Kalibri [48]

Answer:

I think the answer is probably $212.50

Step-by-step explanation:

I hope this helps.

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Find two numbers such that the sum of their squares is 100. The square of the larger number is equal to the sum of the product o
Shtirlitz [24]

Answer with Step-by-step explanation:

Let x and y are two  numbers

According to question

x^2+y^2=100....(1)

Suppose x is larger than y

x^2=x(4y+8x)

x=4y+8x

x-8x=4y

-7x=4y

y=-\frac{7}{4}x

Substitute the value of y

x^2+(-\frac{7}{4}x)^2=100

x^2+\frac{49}{16}x^2=100

\frac{16x^2+49x^2}{16}=100

\frac{65}{16}x^2=100

x^2=\frac{16\times 100}{65}

x=\sqrt{\frac{1600}{65}}=\frac{40}{\sqrt{65}}=\frac{40}{65}\sqrt{65}=\frac{8}{13}\sqrt{65}

y=-\frac{7}{4}\times \frac{8}{13}\sqrt{65}=-\frac{14}{13}\sqrt{65}

3 0
3 years ago
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