All categories

3 years ago

Solve for m. √m-7 = n+3

Mathematics

1 answer:

Elden [556K]3 years ago

3 0

Answer:

$m=n^{2} +20n +100$

Step-by-step explanation:

Solve for m

by simplifying both sides of the equation, then isolating the variable.

$m=n^{2} +20n +100$

<u>Hope this helps</u>

You might be interested in

Please help 20-23 it is 6th grade math and it is due October 16 please I really need help we are doing simplifying expressions a

mel-nik [20]

Hey I'm in 6th too, Simplify means to solve the prob

8 0

3 years ago

Write the equation in standard form for the circle with center (0, – 10) and radius 6.

Artemon [7]

Answer:

Equation of circle in standard form with centre (0, – 10) and radius 6. $\mathbf{x^2+(y+10)^2=36}$

Step-by-step explanation:

We need to write equation of circle in standard form with centre (0, – 10) and radius 6.

The equation of circle is: $(x-h)^2+(y-k)^2=r^2$

where (h,k) is centre of circle and r is radius

We are given centre (0,-10) so, h=0, k=-10 and radius r = 6

Putting values and finding equation:

$(x-h)^2+(y-k)^2=r^2\\(x-0)^2+(y-(-10))^2=(6)^2\\x^2+(y+10)^2=36$

So, equation of circle in standard form with centre (0, – 10) and radius 6. $\mathbf{x^2+(y+10)^2=36}$

5 0

3 years ago

A cereal box filling machine is designed to release an amount of 16 ounces of cereal into each box, and the machine’s manufactur

Paraphin [41]

Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

$H_0: \mu = 16$

At the alternative hypothesis, it is tested if the mean is different, hence:

$H_1: \mu \neq 16$

<h3>What is the test statistic?</h3>

The test statistic is:

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

In which:

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

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

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

n is the sample size.

The parameters for this problem are:

$\overline{x} = 15.75, \mu = 16, \sigma = 1.46, n = 150$ .

Hence:

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

$z = \frac{15.75 - 16}{\frac{1.46}{\sqrt{150}}}$

z = -2.1

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.

Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

3 0

2 years ago

Dependent and Independent variables? I am plotting points on a scatterplot and I'm not sure where to place my variables. The num

IrinaK [193]

Answer:

The number of confirmed cases is the independent variable.

The number of deaths is the dependent variable.

Why?

<u>The number of deaths is dependent on the fact that there are cases, so the number of deaths is a dependent variable.</u>

4 0

3 years ago

4/5 divided by 1/3 times 2/3 -2/5

Dmitry [639]

Answer:

The answer is 6/5

Step-by-step explanation:

8 0

3 years ago