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3 years ago

Does the point (9, 9) satisfy the equation y = x?

Mathematics

1 answer:

kumpel [21]3 years ago

7 0

Answer:

Yes it does.

Step-by-step explanation:

(9,9) means the x coordinate and the y coordinate are equivalent.

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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.

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

3 years ago

A 50 meter path surrounds a rectangular garden . The width of the garden is two-thirds its length. find its area.

astra-53 [7]

$w-width\\l-length\\\\2w+2l=50\to w+l=25\\w=\frac{2}{3}l\\\\substitute:\\\\\frac{2}{3}l+l=25\\\\\frac{5}{3}l=25\ \ \ \ /\cdot\frac{3}{5}\\\\l=15\ (m)\\\\w=\frac{2}{3}\cdot15=10\ (m)\\\\Area:A_{\fbox{ }}=wl\to A_{\fbox{ }}=10\cdot15=150\ (m^2)$

7 0

3 years ago

omg guys imagine sneezing all day and then next thing hourssss later boom you lost your voice has that ever happened to you

katrin2010 [14]

Answer:

no lol

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.

stealth61 [152]

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

$\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$\text{Probability}=\dfrac{4}{6}$

$\text{Probability}=\dfrac{2}{3}$

In decimal form, it can be written as:

$\text{Probability}\approx 0.67$

In percentage form, it can be written as:

$\text{Probability}=\dfrac{2}{3}\times 100$

$\text{Probability}\approx 66.67%$

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are $\dfrac{2}{3}, 0.67$ and $66.67\%$ respectively.

8 0

3 years ago

Are the two triangles below similar? (1 point)

Anika [276]

Answer:

Yes they jave proportional corresponding sides

4 0

3 years ago