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2 years ago

What is the following product? square root 30 times square root 10

Mathematics

1 answer:

egoroff_w [7]2 years ago

4 0

Answer:

D. 10 square root 3 is your answer

Step-by-step explanation:

Here is what you do.

square root 30 = 3 x 2 x 5

square root 10 = 2 x 5

Add them together.

3 x 2 x 2 x 5 x 5

3 x 4 x 25.

4 and 25 can come out of the square root.

2 x 5 = 10

10 square root 3 is your answer.

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What is the y-coordinate of the solution to this system of equations? 5x-8y=1 3x+6y=-21

Vanyuwa [196]

5x-8y=1...(1)
3x+6y=-21...(2)

(1)*3:
15x-24y=3...(3)

(2)*5:
15x+30y=-105...(2)

(3)-(2):
15x-24y-(15x+30y)=3-(-105)
15x-24y-15x-30y=108
-54y=108
y=-2

6 0

3 years ago

What is the equation of the line shown in this graph?

lara [203]

The correct answer is a

3 0

2 years ago

Read 2 more answers

Given:

Molodets [167]

Answer:

Third one

<1 = <4 and <2 = <3

Step-by-step explanation:

When two parallel lines form a Z shape, we call the angles at the vertices of Z to be alternate interior angles, which are equal

5 0

2 years ago

If someone could please walk me through on how to answer this.

Elis [28]

To isolate c means to separate it completely on one side of the equals sign.

To isolate variables, you apply opposite operations.

In E = mc², m and c are being multiplied together. To separate them, you divide by the variable you want to get rid of. However, you must do this to both sides of the equation always. Whatever you do to one side of the equation you must do to the other side as well. This is so the equation remains true.

Since we want to isolate c, we'll start by dividing both sides by m.

E = mc²

E/m = mc²/m

E/m = c² -- The m's cancel as 1

Now we have c squared. The opposite of squaring something is taking its square root. Take the square root of each side.

E/m = c²

√(E/m) = √(c²)

√(E/m) = c -- Opposite operations cancel each other out

And you've isolated c!

Answer:

c = √(E/m)

3 0

3 years ago

Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to

RUDIKE [14]

Answer:

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

5 0

3 years ago