what is the standard deviation for 54, 36, 30, 28, 27

Answers

Answer 1

Answer:

11.18

Step-by-step explanation:

Step 1: average : (54+36+30+28+27) / 5 = 35

Step 2: variance:

sum of the squares of (each number - average value) divided by (n-1)

[ (54-35)^2 + (36-35)^2 + (30-35)^2 + (28-35)^2 + (27-35)^2 ] / (5-1) = 125

Step 3: standard deviation = √(variance) = √125 = 5√5 (about 11.18)


Related Questions

Solve for y.
6 = -2/9v

Answers

Answer:

: 1: Exact form : v = - 1/27

: 2 : Decimal form : v = -0.037037037037037037037037...

Step-by-step explanation: Multiply the equation to remove your variable (v) from the denominator.

I hope this helps you out.

Round off to three significant digits: 4.53619

Answers

Answer:

  4.54

Step-by-step explanation:

The 4th digit (6) is greater than 4, so the 3rd digit (3) is increased by 1 before you drop the remaining digits:

  4.54

I need help again help me pllsssssss

Answers

Answer: you end up at (2,2)

Step-by-step explanation:

Answer:

2,2

Step-by-step explanation:

go down to the bottom right corner (5,-5)

move over left 3 boxes

and then up 7 boxes

hope this helps :P

5+11n=13n help with this one too..

Answers

Answer:

n = 2.5

Step-by-step explanation:

We need to isolate n by first moving it to one side.

11n = 13n - 5

11n - 13n = -5

-2n = -5

n = -5/-2

n = 2.5

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Answer:

n = 5/2

Step-by-step explanation:

5 + 11n = 13n

5 = 13n - 11n

5 = 2n

n = 5/2

Check:

5 + 11*5/2 = 13*5/2

10/2 +  55/2 = 65/2

Brett and Max are diving. Brett is 34 feet below the surface and Max is 25 feet below the surface. How many feet above Brett isMax?

Answers

Answer:

Max is 9 ft above Brett

Step-by-step explanation:

Brett is 34 feet below the surface  = -34

Max is 25 feet below the surface = -25

Subtract the heights

-25 - -34

-25 +34

9

Max is 9 ft above Brett

The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by 4π? A) Irrational Numbers B) Integers C) Natural Numbers D) Rational Numbers

Answers

Answer:

Irrational Number

Step-by-step explanation:

The Venn diagram is not attached; However, the question can still be answered

Given

[tex]Number = 4\pi[/tex]

Required

What category of number is the given number

[tex]Number = 4\pi[/tex]

Substitute [tex]\frac{22}{7}[/tex] for [tex]\pi[/tex]

[tex]Number = 4 * \frac{22}{7}[/tex]

[tex]Number = \frac{4 *22}{7}[/tex]

[tex]Number = \frac{88}{7}[/tex]

[tex]Number = 12.5714285714......[/tex]

Notice that there's .... at the end of the number;

This implies that, the decimal number still extends

Numbers like 12.5714285714...... are categorized as irrational numbers because it can't be changed back to a fraction

Answer:

A. irrational number

Step-by-step explanation:

I took the test

6(n - 2) - 8 = 22 + 4(2-n)

Answers

Answer:

5

Step-by-step explanation:

6n -12 -8=22+8-4n

6n-20=30-4n

6n=50 -4n

10n = 50

5

The 14 digits of a credit card are written in the boxes shown.If the sum of any three consecutive digits is 20, what is the
value of A?

Answers

Answer:

9

Step-by-step explanation:

Working backwards, the blank box between the 7 and 4 at the end must be 9 in order for the three digits to equal 20.  Then we see the pattern of 947 repeated.  The whole number would be 94794794794794.  That way, any three consecutive numbers would be 20.  The number in the box marked a would be 9.

how to do this question plz answer me step by step plzz ​

Answers

Answer:

Adult's ticket is 7, child's ticket is 2

Step-by-step explanation:

Let adult's ticket be "x" and child's ticket be "y"

So, for family 1, the equation would be: 2x+3y=20

And, for family 2, the equation would be: 1x+4y=15

Use the substitution method in the second equation to know what x in terms of y is:

x + 4y = 15 (substact 4y from both sides)

x= 15 - 4y

Plugin y into the first equation:

2(15-4y)+3y=20 (distribute)

30-8y+3y=20 (simplify)

30-5y = 20 (get y by itself)

-5y = -10 (divide by -5)

y = 2

Now that you know the value of y (child's ticket), figure out x by plugging in 2 into any of the equations (I chose the second):

1x+4(2) = 15 (simplify)

x + 8 = 15 (subtract 8)

x = 7

Answer:

price of adult ticket=7 £

price of childrens' ticket =2  £

Step-by-step explanation:

let x be price for adult and y price for  for children

family 1 :  2x+3y=20

family 2:   x+4y=15

solve by eliminating : multiply equation 2 by (2) to eliminate x

2x+3y=20

2x+8y=30  

subtract the two equations:

2x+3y-2x-8y=20-30

-5y=-10

y=-10/-5

y=2( the price for children)

x+4y=15

x+4(2)=15

x=15-8

x=7 ( the price for adults)

check : 2x+3y=20

2(7)+3(2)=14+6=20

Order the following expressions by their values from least to greatest.

Answers

Answer:

-2, b, a+c

Step-by-step explanation:

Answer:

All you have to do is switch A + C and B around. (basically if you wrote it out, it would look like this: -2, B, A + C.)

Is x^4+3x^3-x+7 in standard form

Answers

Answer:

yes

Step-by-step explanation:

Answer:

  yes

Step-by-step explanation:

The standard form of a polynomial has the exponents decreasing left to right. Here, the exponents are 4, 3, 1, 0, so are decreasing left to right. The expression is in standard form.

Evaluate 1/3m−1−1/2n when m=21 and n=12

Answers

Answer:

[tex]0[/tex]

Step-by-step explanation:

[tex] \frac{1}{3}m - 1 - \frac{1}{2}n = \frac{1}{3}(21) - 1 - \frac{1}{2}(12) = 7 - 1 - 6 = 6 - 6 = 0[/tex]

Answer:

0

Step-by-step explanation:

1/3m - 1 - 1/2n
= 1/3(21) -1 1/2(12)
= 7 - 1 - 6
= 0

A certain shade of lavender is created by adding 5 cups of purple paint to 8 cups of white paint. a. How many cups of purple paint should be added to 1 cup of white paint? Cups of white paint Cups of purple paint 1 8 b. What is the constant of proportionality?

Answers

Answer:

a. [tex]\frac{5}8[/tex] cups of purple paints required.

b. [tex]\frac{5}8[/tex]

Step-by-step explanation:

Given that

Number of purple paints required with 8 cups of white paint = 5

To find:

a. Number of cups of purple paint needed to be added to 1 cup of white paint ?

b. Constant of proportionality.

Solution:

Answer a. We can use unitary method here to find the number of cups of purple paint that are to be added to 1 cup of white paint.

Let us use the given statement:

8 cups of white paint require = 5 cups of purple paint

Let us divide both sides by 8:

1 cup of white paint require = [tex]\frac{5}8[/tex] cups of purple paint

Answer b.

Constant of proportionality is nothing but the ratio of two numbers which are present in a proportion.

Here, the ratio between number of cups of purple paint and number of cups of white paint is:

5:8 or [tex]\frac{5}8[/tex].

so, the answer is: [tex]\frac{5}8[/tex]

Your hotel sells four types of rooms: double queen beds for $140/night; king bed for $160/night; junior suite for $220, and full business suites for $285. If there are 200, 150, 100, and 50 of each, respectively, what is your average price per room?

Answers

Answer:

$176.50

Step-by-step explanation:

Take each room type and multiply the number of rooms by the price of the room. Add the total for prices and add the total for the number of rooms. Divide the total prices by the total number of rooms.

Type of room   Number Cost    Total

Double queen 140      $200.00   $28,000.00  

King                  160       $150.00   $24,000.00  

Junior Suite          220      $100.00   $22,000.00  

Full business          285 $50.00    $14,250.00  

                                $500.00    $88,250.00  

Average cos per room                    $176.50  


Round 24.772 to each value listed below
Nearest tens:
Nearest tenths:
Nearest whole:
Nearest hundredths

Answers

Answer:

Nearest tens:  20

Nearest tenths:  24.8

Nearest whole:  25

Nearest hundredths: 24.77

Answer:

Nearest tens: 20 ⇔ the ones digit is 4, no rounding up

Nearest tenths: 24.8 ⇔ the hundredths is 7, need to round up

Nearest whole: 25 ⇔ the tenths digits is 7, need to round up

Nearest hundredths: 24.77 ⇔ the thousandths digit is 2, no rounding up

Hope this helps!! :)

Please let me know if you have any question

5 pizzes are shared equally between 10 people. What fraction of a pizza does each person receive?

Answers

Answer:

1/2

Step-by-step explanation:

Sherry brings two containers of cookies to a party. Each container contains 6 cookies. Sally shows up with a dozen cookies. Sandy arrives with 2 cookies and 10 donuts. How many cookies will Harry need to bring if the total cookie count is 4 dozen

Answers

Answer:

22 cookies

Step-by-step explanation:

A dozen items means 12 number of items.

Number of cookies brought by Sherry = No. of containers multiplied by number of cookies in one container

= 2 [tex]\times[/tex] 6 = 12

Number of cookies brought by Sally = A dozen cookies = 12

Number of cookies brought by Sandy = 2

Number of cookies brought by Sherry, Sally and Sandy together = 12 + 12+2 = 26

Total number of cookies to be brought = 4 dozen = 48 cookies

Number of cookies to be brought by Harry = Total number of cookies to be brought - Number of cookies brought by Sherry, Sally and Sandy together

48 - 26 = 22 cookies

an object is dropped from the top of a cliff 675 meters high. its height above the ground t seconds after it is dropped is 675-4.9t^2. determine its speed 7 seconds after it is dropped, the speed if the object 7 seconds after it's dropped in m/sec

Answers

Answer:

V= 68.6 m/s

Step-by-step explanation:

height above the ground t seconds after it is dropped is 675-4.9t^2

For seven seconds

Height above ground= 675-4.9(7)²

height above ground= 675-240.1

Height above ground= 434.9 m

But it's dropped from a cliff and we need to find the distance traveled from the too of the cliff

Distance= 675-434.9.

Distance= 240.1

To determine it's speed

V²= U² +2gs

V= velocity we are looking for

U= initial velocity= 0

G= acceleration due to gravity= 9.8 m/s²

s= distance covered

V²= U² +2gs

V²= 0+2(9.8)(240.1)

V²= 4705.96

V= 68.6 m/s

4x + 6 - 11 help needed

Answers

Answer:

4x-5

Step-by-step explanation:

[tex]4x+6-11\\\\\mathrm{Add/Subtract\:the\:numbers:}\:6-11=-5\\=4x-5[/tex]

What is -5 5/8+ 3 1/2

Answers

-17/8 , -2.125 or -2 1/8

15. Apply Mathematics (1)(A) Suppose you have a box with a 4 X 4-in.
square base and variable height h. The surface area of this box is a
function of its height. Write a function to represent the surface area.
Evaluate the function for h=6.5 in.

Answers

Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

Hence, The function that represents the surface area of this box as a

function of its height is S = 32+16H where H is the height of the box

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

S = 138in²

Hence the total surface area of the box is 138in²

f(x) = 5x + 12. Find f−1(x)

Answers

Answer:

(x-12)/5

Step-by-step explanation:

K - 8 = -7 What is K?

Answers

Answer:

1

Step-by-step explanation:

To find the answer of a negative and a positive, you subtract and then keep the symbol of the bigger number.  So in the equation 1-8 you subtract 1 from 8, then keep the symbol of the 8 (which is a negative) since it is the bigger number.  1 minus 8 is 7, and the symbol is negative, so the answer is -7.  This makes K=1.

Fatima has 2 gallons of milk she wants to pour all milk into glasses which each hold 1 cup (1/16 gallon). how many cups can she fill

Answers

Answer:

32 cups

Step-by-step explanation:

1 cup= 1/16 gallon

? cup= 2 gallon ( crisscross)

⇒[tex]\frac{2*1}{\frac{1}{16} }\\ \frac{2}{\frac{1}{16}} \\2*16=32 cups[/tex]

can someone help me graph this.

Answers

Answer:

Use a graphing calc.

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

For the third equation, m = 2

y = 2x + b

3 = 3(2) + b

3 = 6 + b

b = -3

y = 2x - 3

3+g=a/3h
what does a equal

Answers

Answer:

a = 3gh+9h

Step-by-step explanation:

[tex]3+g = \frac{a}{3h} \\\\Cross\:Multiply\\\\3h(3+g) = a\\9h +3gh = a\\\\a = 3gh+9h[/tex]

Find the product of 10n5 and 6n2

Answers

[tex]10 \times 10 \times 10 \times 10 \times 10 = 2000[/tex]

[tex]6 \times 6 = 36[/tex]

= 2036n

2/3x+15=17 please and thank you

Answers

Answer:

x=3

Step-by-step explanation:

2/3x+15=17

first subtract 15 from both sides

2/3x=2

multiply by 3 to eliminate the fraction

2x=6

divide by 3

x=3

Answer:

x=3

Step-by-step explanation:

2/3x +15 = 17

2/3x = 17-15

2/3x = 2

x = 2  /  2/3

x = 2/1  *  3/2

x = 6/2

x = 3

Help ASAP, Brainliest to whoever answers!

Answers

Answer:

these are the ten numbers :

0 8 2 6 9 2 0 8 0 0

[tex]6\sqrt{7-11}\sqrt{7+2}\sqrt{7}[/tex]

Answers

Answer:

[tex]=36\sqrt{7}i[/tex]

Step-by-step explanation:

sqrt of 7-11=2i

simplify to [tex]6\cdot \:2\sqrt{9}\sqrt{7}i[/tex]

then sqrt of 9=3

then we simplify again to [tex]=36\sqrt{7}i[/tex]

hope this helps and if you don't mind please consider giving me brainliest

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