What is the variance of the data set (4,6,7,10)​

Answers

Answer 1

Answer:

4.6875

Step-by-step explanation:

Given data set

(4,6,7,10)​

To find

Variance

Solution

The Variance is defined as the average of the squared differences from the mean.

The mean is:

x = (4 + 6 + 7 + 10)/4 = 6.75

The variance is:

σ² = [(4 - 6,75)² + (6 - 6.75)² + (7 - 6.75)² + (10 - 6.75)²]/4 = 4.6875


Related Questions

The perimeter of a triangle is 27. Each side of the triangle has length 2x-3. What is the value of x?

Answers

Answer:

x=6

Step-by-step explanation:

To find the perimeter of the triangle you need to add up all the sides, so if all the sides are 2x-3 the equation will look like this;

2x-3+2x-3+2x-3=27

which when combining like terms will leave it to be;

6x-9=27

Than move all the factors besides x over to the right side;

6x-9+9=27+9

6x = 36

6x/6 = 36/6

x = 6

so your answer will be x=6

Which event is UNLIKELY?
Impossible
Equally likely to
happen or not happen
Unlikely
Certain
Likely
0
0%
0.25
25
2
0.5
50%
0.75
75%
1
100%
P(honor roll) = 1.0
P(left-handed) = 33% A
P(failing math) = 0%
P(taking Spanish) = 60%
P(honor roll)
P(taking Spanish)
P(left-handed)
P(failing math)

Answers

Answer:

left handed

Step-by-step explanation:

The temperature is 92. The temperature decreases for 5 hours. Each hour, the temperature decreases by 2. Then the temperature rises 14 in one hour. What is the temperature after 6 hours?​

Answers

After 6 hours the temperature is 96.
Explanation: 5x2=10 92-10=82 82+14=96.

y is inversely proportional to x.when y=7 x=9 a) work out an equation connecting y and x b) work out the value of y when x=21

Answers

Answer:

a) y = k/x

7 = k/9

b) y = 3

Step-by-step explanation:

From the question, we are told that:

y is inversely proportional to x.

Mathematically:

y ∝ 1/x

y = k × 1/x

y = k/x

k = Constant of Proportionality

a) work out an equation connecting y and x

To find this Equation,

y = k/x

when y=7 x=9

Hence:

7 = k/9

b) work out the value of y when x=21

We find the value of k first

7 = k/9

k = 7 × 9

k = 63

Hence, the value of y when x=21

y = k/x

k = 63, x = 21

y = 63/21

y = 3

-4x + y = -20 -2x - 2y = 10

X=

Y=

Answers

Answer: (x, y) = (-5, -10)

Step-by-step explanation: too lazy

In a system of equations, two different lines intersect. How many solutions does the
system have?
a) Zero
b) One
c) Two
d) Infinitely many

Answers

A) One
If the line is intersecting and is parallel then the line will only intersect once at one point

solve em for me please

Answers

Take another pic thats clearer

A box of chocolates contains milk chocolates and dark chocolates in the ratio 4:3
The box contains 35 chocolates
how many milk chocolates are there in the box?

Answers

Answer:

20 milk chocolates

Step-by-step explanation:

The first step is adding together 4 + 3. You will get 7. This is the total number of units in the box.

Then, divide 35 by 7. You will get 5 as the answer.

To find the number of milk chocolates, multiply 5 and 4. You will get 20 as the answer.

4x+3x=35
7x=35
x=5

milk chocolate 4(5) = 20
dark chocolate 3(5) = 15

What is the result when the number 27 is increased by 1.6%?

Answers

Answer:

27.432

Step-by-step explanation:

27 = 100%

divide by one hundred to get one percent

0.27 = 1%

Divide this by two to get 0.5%

0.135 = 0.5%

Divide by 5 to get 0.1%

0.027 = 0.1%

Add

0.27 + 0.135 + 0.027 = 0.432 =1.6%

Add 0.432 to 27

27.432

1. Find the volume of the object below.*

Answers

Answer:

228 cubic centimeters

Step-by-step explanation:

Find the volume for the blue box: 8 x 1 x 6 = 48

Find the volume of the orange box: 6 x 6 x 5 = 180

48 + 180 = 228

A school has a total enrollment of 800 students. Twenty percent of the students play a sport. How many do not play a sport?​

Answers

Answer:

160

Step-by-step explanation:

Solve for n. 24 = 3(n -5)​

Answers

Answer:

n=13

Step-by-step explanation:

24=3(n-5)

24=3n-15

-3n=-24-15

-3n=-39

n=13

please helppp
Determine if the side lengths 6, 11, and 19 form a triangle. If it is a triangle, classify it by its sides.

scalene triangle
equilateral triangle
isosceles triangle
It's not a triangle.

Answers

Answer:

Its not a triangle

Need to find the area of the triangle and rectangle and total area. Pls help ASAP

Answers

Minus it to get your answer
Rectangle: 190in^2 or 190 inches squared.
Triangle: 33in^2 or 33 inches squared.
Total: 223 inches squared.
(I think)

Help solve!!! Need an answer very very soon!!!

Answers

Answer:

30 degrees

Step-by-step explanation:

sin(30 degrees) = 9/18 = 1/2

law...

HELP ME PLEASEEEEEEEE

Answers

Answer:

letters A and D

Find the slope given the following points:
(-1, 2) (3,5)

Answers

Answer:

The slope is [tex]\frac{3}{4} \\[/tex]

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]m = \frac{5-2}{3-(-1)} = \frac{3}{4}[/tex]

Jane had $60. She spent an average of $5 each day. How many days did
she take to spend all her money?
=
She took
days to spend all her money.
&​

Answers

Answer:

She took 15 days to spend all the noney

600 miles in 8 hours

_?_ miles per hour

(number answer only)

Answers

75mph

If you go 600 miles in 8 hours, you divide the miles by the hours, which makes the problem 600 divided by 8, which equals 75.

These polygons are similar. Find the missing side length.

Can you guys help?

Answers

Answer:

Step-by-step explanation:

Since they are similar we can say

?/15=6/3

?=15(6)/3

?=30

dil, Coleman
Jackie has a closet with 6 red dresses and 2 blue dresses. What is the likelihood of Jackie pulling a red dress out of the closet if she does it without looking?
O certain
likely
O impossible
O unlike

Answers

Answer: likely

Step-by-step explanation: Since they pulled out many red dresses, there is a better chance of pulluing out a red dress

1. Good recordkeeping requires that you keep an accurate record of how you spend your money.

Answers

Answer:

True

Step-by-step explanation:

This answer stated is true

. (08.02)
Each level of a smartphone app adds more gems for you to match. for On level one, there were 13 gems. On level twelve, there were 123 gems. When you complete all twelve levels, how many total
gems will you have matched? (2 points)
© 605
© 660
O 748
© 816

Answers

Answer:

816

Step-by-step explanation:

This is what I got let me know if it is correct.

Answer: 816

Step-by-step explanation:

took the test and got it right :)

What is the length of each leg of the triangle below?
O A. 15
O B. 11.3
O c. 11
O D. 1
O E. 11
O F. 22

Answers

Answer:-
(Apply the formulas urself)
Acc. to Pythagoras theorem:
>> a^2 + b^2 = c^2

>> sinθ = P/H
cosθ = B/H
tanθ = P/B

Note: P means Perpendicular
B means Base
H means Hypotenuse

How many different ways can you solve a quadratic equation ? List them.

Answers

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

If the ratio of blue blocks to red blocks is 5:7,
what is the ratio of red blocks to blue blocks?

Answers

Answer: 7:5

Step-by-step explanation: You just reverse it.

Since the ratio of blue blocks to red blocks is 5:7, you’d need to flip it in order to get the ratio of red blocks to blue blocks. This would be 7:5.

I need the answer fast ASAP

Answers

Answer:

a rotation followed by a dilation

Step-by-step explanation:

they first rotated the figure by 90 degrees, they then dilated by a scale factor of 3

if cot a =5/12 then find the value of cosec A​

Answers

Answer:

cosec A = 13/12

Step-by-step explanation:

Mathematically, we want to find the value of cosec A

sides 5,12 and 13 represent a Pythagorean triple. This means the last side of the right-triangle that contains 5 and 12 is 13

cot is the ratio of the adjacent to the opposite

Hence ; 5 represents the adjacent while 12 represents the opposite

cosec is the inverse of sine which is the hypotenuse to the opposite ratio

So, we have ;

cosec A = 13/12

can someone help me wit dis plz​

Answers

Answer:

58.6

Step-by-step explanation:

cos(35) = 48

             ------- = 58.6

                 x

             

123,456,789x123,456,789=

Answers

Answer:

123,456,789x123,456,789= (123,456,789)^2= 152415788*10^16

can i have brainliest please

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