Mathematics High School

In the Data set below, what is the standard deviation?

4 2 8 5 7

Answers

Answer 1

Answer:

The standard deviation of the given data set

 σ =  2.135

Step-by-step explanation:

Step(i):-

Given numbers are 4 2 8 5 7

Mean of the numbers

 [tex]= \frac{4+2+8+5+7}{5}[/tex]

= 5.2

The mean of the numbers (μ) = 5.2

Step(ii):-

x        :    4         2       8        5         7

x-μ     :   -1.2   -3.2     2.8    -0.2     1.8

(x-μ)² :   1.44    10.24  7.84  0.04    3.24

The standard deviation of the given data

            σ = √Σ( x-μ)² / N

           σ  = [tex]\sqrt{ \frac{1.44+10.24+7.84+0.04+3.24}{5}}[/tex]

            σ =  2.135

           

Related Questions

Please i need someone help.

Answers

Answer: I can help :)

Step-by-step explanation:

1 ton = ____ pounds
1 pound = ____ ounces

Answers

Answer:

1 ton = 2000 pounds

1 pound = 16 ounces

Step-by-step explanation:

Answer:

1 ton = 2,000 pounds

1 pound = 16 ounces

Step-by-step explanation:

Hope this helps

Have a nice day/night

Mark brainiest please

What is the slope-intercept equation of a line with slope 2.5 and y-intercept -8?

Answers

Answer:

y = 2.5x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2.5 and c = - 8 , then

y = 2.5x - 8 ← equation of line

On a​ map, 1 inch equals 20 miles. Two cities are 3 inches apart on the map. What is the actual distance between the​ cities? whats the answer?

Answers

Answer:

60 yan po Sana makatutulong

Are the 2 lines:

y = 4x - 3 and y = (1/4)x +3

Parallel, Perpendicular, or Neither?
Please let me know an explanation would be great I hate my math teach but thank you!

Answers

Answer:

Step-by-step explanation:

Both equations are in slope-intercept form, so the coefficient of x is the slope of the line.

y = 4x-3

slope = 4

y = (¼)x + 3

slope = ¼

If the slope are the same, the lines are parallel. If the product of the slopes = -1, the lines are perpendicular.

4×¼ = 1

The lines are neither parallel nor perpendicular.

I’m pretty sure it’s perpendicular

show that line passing through points (3,-2) and (-4,-2) is a horizontal line​

Answers

Step-by-step explanation:

horizontal lines will have a gradient(m) of 0

so if m=0 , the line is horizontal

formula to find m:

m=y2-y1 / x2-x1

insert coordinates into formula

[tex]m = \frac{ - 2 - ( - 2)}{ - 4 - 3} \\ \\ m = \frac{ - 2 + 2}{ - 7} \\ m = \frac{0}{ - 7} \\ m = 0[/tex]

As m=0 , therefore it is a horizonta line.

hope this helps..

The graph shows the number of pencils in a given number of packs. If you have four packs, how many pencils are in there in total?

Question options:

6 pencils


21 pencils


24 pencils


30 pencils

Answers

21 pencils jssgsbsnakahzggsbananansgssgvsva

Jeremiah hikes ½ miles every ¼ of an hour. Lisa hikes ⅓ mile every ⅙ of an hour. How far do they each hike in 1 hour?

Answers

Answer:

they both hike at 2 miles per hour

Please help due in 5 minutes !

Answers

The first option is correct

Answer:

Look at the picture given

Step-by-step explanation:

We know that Sonja's house is 4 blocks west and 1 block south from the center while her school is 3 blocks east and 2 blocks north,

Follow NESW rule :

N = Up

E = Right

S = Down

W = Left

To solve this, all we need to is move 4 times to the left and 1 down to determine her house. As for her school, we need to move 3 blocks to the right and move 2 times up.

Does 5, square root of 15, 5 make a right triangle?

Answers

Answer:

No

Step-by-step explanation:

This is because square root of 15 is between 3 and 4, which are not greater than 5. To make a right triangle you could used two 5 for side a and b BUT the longer side of the triangle has to be Greater than a and b

Hope this helped

iii) Find the values of x
when y= 1
X=

Answers

you’ll need to provide more information

Can someone tell
Me the answer please :(

Answers

D is the correct answer
Person above is correct

which number line shows the solution of -5x + 10 > -15?

Answers

Answer:

x<5

Step-by-step explanation:

A cat weighs more or less than one ounce????

Answers

Answer:

i believe more than 1 ounce let me know if im wrong

Step-by-step explanation:

Does anyone know the answer to -8=16x + 9

Answers

Answer:

x = -17/16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

-8 = 16x + 9

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 9 on both sides:                      -17 = 16x[Division Property of Equality] Divide 16 on both sides:                              -17/16 = xRearrange/Rewrite:                                                                                        x = -17/16

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                                                                                                -8 = 16(-17/16) + 9Multiply:                                                                                                                -8 = -17 + 9Add:                                                                                                                 -8 = -8

Here we see that -8 does indeed equal -8.

∴ x = -17/16 is the solution to the equation.

Which property is used in the problem below?
2(x+4)=2x+8
ОООО
the associative property
the commutative property
the distributive property
the additive identity property

Answers

Answer:

Step-by-step explanation:

What you are doing is removing the  brackets. That shows up as multiplying both terms inside the brackets by the factor outside the brackets (2).

This is a classic example of the distributive property.

A shop sells school uniform.
Two shirts and one jumper cost £29
One shirt and one jumper cost £21
How much does one jumper cost?
£

Answers

Answer:

Jumper costs £13

Step-by-step explanation: (s = shirt j = jumper)

We know that 2s + 1j = £29

We also know that 1s + 1j = £21

29-21 = £8

This means that the shirts cost £8  each

We now need to multiply: 8 x 2 = £16  which means that the shirts in total cost £16

So, 29 - 16 = £13  which means one jumper costs £13

The cost of one jumper is $13.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, two shirts and one jumper cost £29 while one shirt and one jumper cost £21, we need to find the cost of one jumper,

Let jumper is represented by j and that of shirt by s,

Establishing the equations,

2s + j = 29

j = 29 - 2s......(i)

s + j = 21

j = 21 - s.......(ii)

Solving the equations,

21 - s = 29 - 2s

s = 8

Put s = 8 in eq (ii)

j = 21 - 8

j = 13

Hence, the cost of one jumper is $13.

Learn more about equations, click;

https://brainly.com/question/29657992

#SPJ2

An angle measures 10° less than the measure of its supplementary angle. What is the measure of each angle?​

Answers

Answer:

The two angles are 85 and 95 degrees

Step-by-step explanation:

Supplementary angles add to 180

Let x be one angle

The supplement is 10 less,  ( x-10)

They add to 180

x+ ( x-10) = 180

2x -10 = 180

Add 10 to each side

2x-10+10 =180-10

2x= 190

Divide by 2

2x/2 =190/2

x=95

The other angle is 95-10 = 85

The two angles are 85 and 95 degrees

10 sin A + 16 = 3 sin A + 9

Answers

10 sin A + 16 = 3 sin A 9

Answer:

-1/2 π

Step-by-step explanation:

10sinA - 3sinA =9-16

7sinA = -7

sinA =-1

A= sin inverse of -1

Beth has $525 in savings. She
sometimes withdraws money to buy CDs
or books.
Write an equation that will help Beth
determine how much money she has in
savings at any given time.
Let's let
p = money spent on CDs or books
s = total savings

Answers

Answer: s = 525 - p

Step-by-step explanation:

Plato/Edmentum

8) Choose the following measures that could be the side lengths of a triangle.
(Select ALL that apply) *
4,4,7
2,9,12
3, 5,8
10, 12, 15

Answers

Sorry man I don’t know

What could be the equation of p?

Answers

Answer:

Well let's look at the roots and define a parent function x=-2.5 x=0 x=4Now let's define the function y=(x+2.5)^2(x-4)

Your graph is missing the y axis


Daniella can carry 32 pounds. Jeffrey can carry 23 pounds. How many ounces can they carry in total?

I need a answer ASAP!

And thank you very much if you are correct!!

Answers

Answer:

880 ounces.

Step-by-step explanation:

There are 16 ounces in a pound.

So 16x32=512

16x23=368

512+368= 880

And here is another question. Thanks for the help y'all

Answers

Answer:

Multiply 3.75 times 1.5

Step-by-step explanation:

Multiply 3.75 by 1.5 and you’ll get your answer

Please answer. Thank you.

Answers

The correct answer is A

Answer:

A is the answer :)

I hope this helps bro;)

- Alie♥

Solve the Equation below. Show ALL WORK.
-9p + 1 = -80

Answers

Answer:

p=9

Step-by-step explanation:

-9p=-80-1

-9p=-81

p=-81/-9

p=9

Increase 42 by 16% show working please​

Answers

Answer = 48.72

First find 16% of 42 which is just 16/100×42 which is 6.72 and then added 42

Answer:

48.72

Step-by-step explanation:

your old value =42

your new value = let it be x

your original percentage =100percent

your new percentage:100+16

=116percent

old. new

value. 42. x

percentage 100. 116

cross multiply :x multiply by 100=42 multiplyby 116

100x=42x116

x=42x116/100

x=48.72

So, your increased value is 48.72

Plz help 27 points answer all plz thanks

Answers

Answer:

1.-7  

2.2  

3.-29

4. 9

5.-20

6.0

7.-1

8.3

9. -5

10.53

11.5

12.-15

Step-by-step explanation:

Answer:

1) -7

2) 2

3) -29

4) 9

5) -20

6) 0

7) -1

8) 3

9) -5

10) 53

11) 5

12) -15

i'd be happy to explain any

Step-by-step explanation:

Kala purchased a prepaid phone card for S15. Long distance calls cost 24 cents a minute using this card. Kala used her card only once to make a long
distance call. If the remaining credit on her card is $5.64, how many minutes did her call last?

Answers

[tex]15 - x = 5.64[/tex]

[tex]15 - 5.64 = x[/tex]

[tex]9.36 = x[/tex]

//

[tex]9.36 \div 0.24 = 39[/tex]

her call lasted 39 minutes.

A cereal box says that it now contains 22% more cereal for the same price. Originally, it came with 17.4 ounces of cereal. How many ounces of cereal does the new box come with?
A) 17.4
B) 39.4
C) 21.2
D) 19.6

Answers

Answer:

c) 21.2

Step-by-step explanation:

17.4 * 1.22 is approximately 21.2

Well you’d have to change the % to a decimal

22% is equal to 0.22.

So 17.4 divided by 0.22 is 3.8

17.4 + 3.8 = 21.2 ounces or C

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