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1 year ago

What is the mean of, 50, 30, 40, 10, 20, 80, 60, 90, 10, 30, 110, 70?

Mathematics

1 answer:

rjkz [21]1 year ago

4 0

Given:

$50,30,40,10,20,80,60,90,10,30,110,70.$

To find:

The mean

Explanation:

The formula for mean is,

$Mean=\frac{Sum\text{ of the observations}}{Total\text{ number of observations}}$

On substitution we get,

$\begin{gathered} Mean=\frac{50+30+40+10+20+80+60+90+10+30+110+70}{12} \\ =\frac{600}{12} \\ =50 \end{gathered}$

Thus, the mean is 50.

Final answer:

The mean is 50.

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GEOMETRY: Find JL of the line.

Yuliya22 [10]

Answer:

JL = 31

Step-by-step explanation:

JL is the total length of the line segment. We know that JK is 15 units long and that KL is 16 units long. So, you would add these numbers (15 & 16) together to get the total length of the line segment. Hope this helps! :)

6 0

3 years ago

Answer and how to do it

ollegr [7]

Answer:

$(x - 9)^2 + y^2 = 36$

Step-by-step explanation:

The equation of a circle in standard form is

$(x - h)^2 + (y - k)^2 = r^2$

You are given

$x^2 + y^2 - 18x + 45 = 0$

In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.

Start by grouping the x terms and subtracting 45 from both sides.

$x^2 - 18x + y^2 = -45$

Now we need to complete the square for x.

$x^2 - 18x ~~~~~~+ y^2 = -45$

The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.

To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.

$x^2 - 18x + 81 + y^2 = -45 + 81$

$(x - 9)^2 + y^2 = 36$

Answer: $(x - 9)^2 + y^2 = 36$

6 0

2 years ago

What percentage of the Cherry Hill residents polled supported Gartman?

zimovet [89]

Answer:

D. About 48%

I hope this helps!

5 0

3 years ago

Read 2 more answers

A student said we cannot subtract 1,97 from 20 because 1.97 has two decimal digits and 20 has none. Do u agree with him?

tresset_1 [31]

Answer:

I do not agree with him.

Step-by-step explanation:

even though 20 has no visible decimal digits it has an infinite amount of zeros in the decimal digits. since 1.97 has two digits, then we can just write 20 as 20.00

20.00

- 1.97

_____

18.03

proof:

18.03

+1. 97

______

20.00

6 0

2 years ago

In estimating the mean score on a fitness exam, we use an original sample of size n 3 and a bootstrap distribution containing 50

maw [93]

Answer:

C) 67.5 to 72.5

Step-by-step explanation:

The value to calculate the confidence interval is given as:

$(x-z_{\frac{\alpha}{2}} \times \frac{\sigma}{\sqrt{n}},x-z_{\frac{\alpha}{2}} \times \frac{\sigma}{\sqrt{n}})$

Margin of error is given by:

$z_{\frac{\alpha}{2} } \times \frac{\sigma}{\sqrt{n}}$

Using a sample of size n = 3, with 95% confidence the confidence interval came out to be 67 to 73.

We need to identify the new confidence interval if the sample size is increased to n = 16

If you observe the formula, you will see that the sample size(n) is in the denominator. This means, if value of n will be increased the value of fraction will be decreased, which will result in an overall smaller value of margin of error. Since, margin of error is smaller, the values of confidence interval will be closer to the mean.

From here, we can conclude that if sample size is increased, the confidence interval will get narrower. From the given options only option C contains a narrow confidence interval. Therefore, correct answer will be option C: 67.5 to 72.6

7 0

3 years ago