MATHEMATICS MIDDLE SCHOOL

Find the variance of the given data rounded to the nearest hundredth 3,4,5,7,10,12,15

Answers

Answer 1

Answer:

Using it's concept, it is found that the variance of the given data-set is of 17.14.

What is the variance of a data-set?

It is the sum of the differences squared betweene each observation and the mean, divided by the number of values.

The mean of the given data-set is given by:

M = (3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8

Hence, the variance is given by:

V = [(3-8)² + (4-8)² + (5-8)² + (7-8)²+ (10-8)² + (12-8)² + (15-8)²]/7 = 17.14.

More can be learned about the variance of a data-set at brainly.com/question/25639778

#SPJ2

Answer 2

Answer:

Answer:

(3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8

(3^2 + 4^2 + 5^2 + 7^2 + 10^2 + 12^2 + 15^2)/7 - 8^2 = 17.14285714

Related Questions

WHO IS GOOD AT SCATTERPLOTS? I NEED HELP ON MY PERFORMANCE TASK. IF YOU ARE GOOD AT MATH AND ANALYZING DATA/GRAPHS, PLEASE HELP! I WILL MARK YOU BRAINLIESTTT!!
Rewrite the expression with parentheses to equal the given value 100-30÷5 value 14
Help how to solve! 24=3r divided by 4
There is 1/4 ounce of yeast in every 2 1/4 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many ounces of yeast are needed for this recipe?
How do you change 36/10 to a decimal?

What is -7/9 x 3/5
PLEASE HELP

Answers

Your answer would be -7/15

-7/15
Reduce the 9 to 3 and the 3 to 1. Next, multiply straight across. Negative times positive = negative. Therefore, -7/9 x 3/5 = -7/15

Find the intercepts of the given line:y=−6x+21

Please answer it in this form:
The x − intercept is (__,__).
The y − intercept is (__,__).

Thank you for whoever answers this!! I will probably mark them as brainliest! ^^"

Answers

see attached photo for solution

please give a thanks or brainliest if you found my answer helpful :)

Xintercept(3.5,0)
Yintecept(0,21)

47+33= |||| ooooooo||| ooo

Sam drew sticks and circles to solve this problem. Explain how he added. Then write the total.

Answers

"I"s are 10, "o"s are 1 and the total is 80

Solutions

We know that Sam drew sticks and circles to solve this problem. Lets see how he added. Lets use sticks to represent 47 and circles to represent 33.

|||| |||| |||| |||| |||| |||| |||| |||| |||| |||| |||| ||| = 47 sticks

ooooooooooooooooooooooooooooooooo = 33 circles

47 sticks + 33 circles = 80

Anyone.... Are being from California and preferring brand B independent events? Why or why not?

Answers

Yes, they are independent because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.

What are independent events?

The literal meaning of Independent Events is the events which occur freely of each other.

A taste test asks people from Texas and California which pasta they prefer, brand A or brand B.

A person is randomly selected from those tested.

And we have find that are being from Texas and preferring brand A independent events or not.

Firstly, we know that these two events will be independent when;

$\rm P(Texas) = P(Texas/brand A)\n\n P(Texas) = (Number \ of \ people \ for \ texas)/(Total \ number \ of \ people \ taxes)\n\n P(Texas) = (125)/(275)\n\n P(Texas) = 0.45$

$\rm And \ P(Texas/brand A) = (P(Taxes \cap Brand \ A )/(P (Brand \ A))\n\n P(Texas/brand A) = (80)/(176)\n\n P(Texas/brand A) = 0.45$

Hence, being from Texas and preferring brand A are independent events because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.

Learn more about independent events here;

brainly.com/question/16465754

#SPJ2

Answer:

I am not 100% sure, but just thinking about it logically, they should not be independent events, and I believe it is A.

Step-by-step explanation:

The reason I believe they are not independent events is because people in California may be used to eating a certain flavor pallet in their area, whereas Texas may have different general flavors in their area. Now as far as the numbers, I am not entirely sure, I am assuming you know since your question was just asking if they were independent or not. However, if it is percent, it does seem like A makes the most sense in relation to the totals. Also you can use deductive reasoning. Most often when there are answer choices, there is one correct answer choice, and the others have all the same aspects, but only 1 thing is changed. Since this is generally the case, you can take similarities between answer choices as parts that are correct, and the little variances which are only in one answer as modifications from the correct answer. For instance in this question, there is 1 that says yes, and 2 that say no. Because of this, I assume that it must be no since yes must be that one modification that makes that answer choice incorrect. Now its A or B. I look at all the answer choices and see that B is the only one that says California brand B is .36 whereas the other two say .55. From this I assume that .36 is the variance that makes it incorrect, leaving me with A as my answer.

Arezo borrowed $2,500 from her grandfather. This graph shows the balance remaining on Arezo’s debt after she makes each payment. Using this graph, how much will she owe after 4 payments?

Answers

Answer:

She will owe $500 after 4 payments.

Step-by-step explanation:

With the help of graph

Number of payments (x) Balance remaining(y)

0 2500

1 2000

2 1500

Since it is linear function .

So, we will use two point slope form to find the equation for the given situation.

$y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)$ ----A

$(x_1,y_1)=(0,2500)$

$(x_2,y_2)=(1,2000)$

Substitute the values in A

$y-2500=(2000-2500)/(1-0)(x-0)$

$y-2500=-500x$

$y=-500x+2500$

Where x is the number of payments

y is the remaining payment

This equation represents the given situation.

So, to find the amount remaining after 4 payments .Substitute x =4

$y=-500(4)+2500$

$y=-2000+2500$

$y=500$

Hence she will owe $500 after 4 payments.

Answer:

She will owe $500

Step-by-step explanation:

Celeste has a garden that has a length of 15x and a width of 3x+ 5 feet. Write a polynomial that represents the perimeter of the garden

Answers

If garden that has a length of 15x and a width of 3x+ 5 feet then the perimeter of the garden is 36x+10.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the garden has a length of 15x and a width of 3x + 5 feet.

To find the perimeter, we add the lengths of the four sides:

Perimeter = 2 × (Length + Width)

Substitute the given values:

Perimeter = 2 × (15x + 3x + 5)

Now, simplify the expression:

Perimeter = 2×(18x + 5)

Finally, distribute the 2:

Perimeter = 36x + 10

So, the polynomial that represents the perimeter of the garden is:

36x + 10 feet.

To learn more on Perimeter click here:

brainly.com/question/7486523