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3 years ago

HELP I HAVE NO IDEA HOW TO FIGURE THIS OUT

Mathematics

1 answer:

Papessa [141]3 years ago

7 0

Answer:

I can narrow it down to 22 or 29

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A positive number is 30 less than its square. Find the number.

Veronika [31]

<span><span>x = x^2 - 30

or

x^2 - x - 30 = 0
Factors to
(x-6)(x+5) = 0

x = +6 is the positive number</span></span>

8 0

3 years ago

Find the missing measures. Write your numerical answers only with a comma in between.

Katen [24]

Answer:

m∠T = 72°

m∠U = 54°

Step-by-step explanation:

Property of an isosceles triangle,

Opposite angles of two equal sides of an isosceles triangle are equal in measure.

By this property, in the given triangle STU,

Since, ST ≅ TU,

m∠S = m∠U = 54°

Since, sum of interior angles of a triangle is 180°

m∠T + m∠S + m∠U = 180°

m∠T + 54° + 54° = 180°

m∠T = 180° - 108°

m∠T = 72°

7 0

3 years ago

HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

dangina [55]

I’m pretty sure the answer is either D or E but I’m not positive !

7 0

3 years ago

The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor

melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: $H_{0}: p = 0.7$

And the alternate hypothesis is: $H_{a}: p > 0.7$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that $\mu = 0.7, \sigma = \sqrt{0.7*0.3}$

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that $n = 500, X = \frac{375}{500} = 0.75$

Value of the z-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}$

$z = 2.44$

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0

3 years ago

Find the slope of the line passing through the points (-2, 9) and (-10, 33).

Nina [5.8K]

Slope = rise / run = Δy / Δx = (y2 - y1) / (x2 - x1) = [33 - 9] / [ (-10 - (-2)]

Slope = 24 / ( -8) = - 3

Answer: - 3

8 0

3 years ago