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3 years ago

Which angles are supplementary to 14 ? select all that apply.

Mathematics

2 answers:

patriot [66]3 years ago

7 0

19 is supplementary to 14 :)

Furkat [3]3 years ago

5 0

Answer will be 15>
Supplementary angles are two angles with the sun of 90 degrees

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A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is current

lapo4ka [179]

Using the z-distribution, we have that:

The hypothesis test is:

$H_0: \mu = 7.4$

$H_1: \mu < 7.4$

The p-value is of 0.0668.

The critical value is $z^{\ast} = -1.28$

b) Since the <u>test statistic is less than the critical value</u> for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is <u>tested if the mean is of 7.4 minutes</u>, that is:

$H_0: \mu = 7.4$

At the alternative hypothesis, it is <u>tested if the mean is lower than 7.4 minutes</u>, that is:

$H_1: \mu < 7.4$

We have the <u>standard deviation for the population</u>, hence, the z-distribution is used.

The test statistic is given by:

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

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the sample.

n is the sample size.

For this problem, the values of the <em>parameters </em>are: $\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36$ .

Hence, the value of the <em>test statistic</em> is:

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

$z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}$

$z = -1.5$

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a <u>left-tailed test</u>, as we are testing if the mean is less than a value, the critical value with a <u>significance level of 0.1</u> is of $z^{\ast} = -1.28$ .

Item b:

Since the <u>test statistic is less than the critical value</u> for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at brainly.com/question/16313918

5 0

2 years ago

Four machines, each costing $5,700, were purchased for an office. Each machine requires

liubo4ka [24]

The number of months it would take to recover the cost of the machines is 12 months.

<h3> What is the total cost of the machines and the salary of the operators? </h3>

Total cost of the four machines = $5700 x 4 = $22,800

The total salaries of the machine operators in t months = 4t x $1,00 = $4,400t

Total cost = $22,800 + $4,400t

<h3>What is the amount saved by replacing the 8 clerks in t months? </h3>

($750 x 2t) + ($650 x 3t) + ($950 x 3t)

= $1500t + $1,950t +$2,850t

= $6300t

<h3>In how many months would it take to recover the cost of the machines? </h3>

$22,800 + $4,400t = $6300t

Combine similar terms

$22,800 = $6300t - $4400t

$22,800 = $1900t

Divide both sides by 1900

t = 12 months

To learn more about division, please check: brainly.com/question/194007

8 0

3 years ago

Can a local maximum also be a point of inflection? Explain.

myrzilka [38]

<span>Inflection points are where the function changes concavity. Since concave up corresponds to a positive second derivative and concave down corresponds to a negative second derivative, then when the function changes from concave up to concave down (or vise versa) the second derivative must equal zero at that point. So the second derivative must equal zero to be an inflection point. But don't get excited yet. You have to make sure that the concavity actually changes at that point.</span>

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3 years ago

What is the image of (4,-7) after a reflection over the line y=x

snow_lady [41]

Answer:

(-4,7)

Step-by-step explanation:

solved by graphing

3 0

3 years ago

Can a trapezoid have congruent diagonals?

Maslowich

Answer:

Yes

Step-by-step explanation:

If the the trapezoid is Isosceles, meaning the legs, or the line segments connecting the bases are equal.

5 0

3 years ago