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4 years ago

Solve the equation algebraically x^2=192

Mathematics

2 answers:

Butoxors [25]4 years ago

7 0

Answer:13.86,-13.86

Step-by-step explanation:

lapo4ka [179]4 years ago

4 0

The square root of 192 is 13.856. so the answer is more than likely 14 or 13.85

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X+3<9 answer pls 2x+5<12

diamong [38]

Answer:

first one: x<9 second: x<3.5 or 7/2

Step-by-step explanation:

first: substract 3 from both sides

second: substract 5 and then divide by 2

7 0

3 years ago

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 test statistic is less than the critical value 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 tested if the mean is of 7.4 minutes, that is:

$H_0: \mu = 7.4$

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

$H_1: \mu < 7.4$

We have the standard deviation for the population, 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 parameters are: $\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36$ .

Hence, the value of the test statistic 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 left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of $z^{\ast} = -1.28$ .

Item b:

Since the test statistic is less than the critical value 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

On a cloudy day, Yong Sun needed to know the height of a window in a building. Yong Sun positioned a mirror on the ground betwee

const2013 [10]

Its a ratio problem

height/34.15 = 1.89/.2288

4 0

4 years ago

FOR A TEST!! HELP! Complete the similarity ratio for the similar triangles.

tatyana61 [14]

Answer:

add them up

Step-by-step explanation:

add 8 10 10 and 80 25 20

7 0

3 years ago

5) Naomi is sewing some clothing. She has 53 yards of fabric to use. She

EleoNora [17]

The inequality that represents the number of each type of fabric that Naomi has is:

$9x+16y \leq 53$

Let the number of short-sleeved shirts she made be x

Let the number of long-sleeved shirts she made be y

Length of clothes used to make a short-sleeved shirt = 9 yards

Length of clothes used to make a long-sleeved shirt = 16 yards

Length of short-sleeved shirts made = 9x

Length of long-sleeved shirts made = 16y

Total length of fabric used = 53 yards

The inequality that represents the number of each type of fabric that Naomi has is:

$9x+16y \leq 53$

Learn more on inequality here: brainly.com/question/15269537

6 0

2 years ago