The following data are the distances between a sample of 20 retail stores and a large distribution center. The distances are in miles. 29; 31; 34; 40; 58; 67; 68; 69; 76; 80; 82; 95; 96; 96; 99; 106; 112; 127; 145; 150 Find the value that is one standard deviation below the mean. (Round your answer to one decimal place.)

Answers

Answer 1

Answer:

47.8

Step-by-step explanation:

Given the data:

29; 31; 34; 40; 58; 67; 68; 69; 76; 80; 82; 95; 96; 96; 99; 106; 112; 127; 145; 150

Mean (m) = ΣX / n

n = sample size

ΣX = 1660

Mean = 1660 / 20

Mean (m) = 83

Standard deviation(s) : √(Σ(X - m)² / n-1)

Σ(X - m)² = (29-83)^2 + (31-83)^2 + (34-83)^2 + (40-83)^2 + (58-83)^2 + (67-83)^2 + (68-83)^2 + (69-83)^2 + (76-83)^2 + (80-83)^2 + (82-83)^2 + (95-83)^2 + (96-83)^2 + (96-83)^2 + (99-83)^2 + (106-83)^2 + (112-83)^2 + (127-83)^2 + (145-83)^2 + (150-83)^2

√(23608 / (20-1))

√23608/ 19

√1242.5263

= 35.249486

= 35.25

Mean -1(s)

83 -35.25

47.75

=47.8


Related Questions

What is the quotient of 154,504 divided by 28

Answers

Answer:

5518

Step-by-step explanation:

what is the acceleration of a car that has a mass of 300 kg and 1200N​

Answers

your query :

what is the acceleration of a car that has a mass of 300 kg and 1200N

Answer:

well the acceleration produced will be

[tex]4ms { - }^{2} [/tex]

Step-by-step explanation:

the formula used here is

F = m × a

(where m = mass , a = acceleration and f = force )

so,

=》1200 N = 300 kg × a

=》a = 1200N ÷ 300 kg

=》a = 4 metre per second square

[tex]4ms { - }^{2} [/tex]

Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 529 square meters. Round each dimension to 4 decimal places

Answers

Answer:

[tex]x=23/\sqrt{6}[/tex],

[tex]y= \frac{23}{6\sqrt{6}}[/tex]

Step-by-step explanation:

From the question we are told that

Surface area is 529 square meters

Generally the dimensions of the cuboid

[tex]v=x^y[/tex]

[tex]D=4xy+2x^2 =529[/tex]

[tex]V=x^29(\frac{529-6x^2}{4x})[/tex]

[tex]V' =529-6x^2/4[/tex]

[tex]v'=0[/tex]

Therefore

[tex]529=6x^2[/tex]

[tex]x=\sqrt{\frac{529}{6} }[/tex]

[tex]x=23/\sqrt{6}[/tex]

Mathematically

[tex]v''=\frac{12x}{4}[/tex]

[tex]v''=-3\frac{23}{\sqrt{6} }<0[/tex]

[tex]y= \frac{529-2*(\frac{529}{6} }{4*\frac{23}{\sqrt{6} } }[/tex]

[tex]y= \frac{23}{6\sqrt{6}}[/tex]

Therefore

[tex]x=23/\sqrt{6}[/tex]

and

[tex]y= \frac{23}{6\sqrt{6}}[/tex]

Find the missing angles.

Answers

Answer:

w=30.5 y=29

Step-by-step explanation:

2w=61 so w=30.5

61+y=90 so y=29

Yes what the person above me said is correct I believe

Explanation

How do you find a unit rate

Answers

Answer:

Divide the numerator and denominator

Step-by-step explanation:

A unit rate is a ratio between two different units with a denominator of 1. To calculate the unit rate, divide the numerator by the denominator. The resulting decimal number is the unit rate. The unit price is a type of ratio where the numerator is the price and the denominator is the quantity of a good or product.

Find the sine, cosine, and tangent of angle A. Give your answer as a fraction in simplest form

I need help​

Answers

Answer:

3/5, 4/5, 3/4

Step-by-step explanation:

First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4

The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Calculation of the sine, cosine, and tangent:

Here first we determine the BC by applying the Pythagorean Theorem.

[tex]= 20^2 - 16^2\\\\= 400 - 256\\\\= 144[/tex]

So the BC should be 12

hence, based on this, we can say that The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Learn more about an angle here: https://brainly.com/question/3401487

Sophia spent 6.10 for school supplys she spent 3.0” for a notebook

Answers

Answer:

0.85

Step-by-step explanation:

Jiyoung spent $82 at Uniqlo on shirts and shorts. She lost the receipt but knows that the shirts are
$11 each, and the shorts were $9 each. If Jiyoung bought 5 shirts, how many shorts did she buy?

Answers

its 3 shorts

Step-by-step explanation:

11×5= 55 82-55= 27 27÷9= 3

Answer:

Step-by-step explanation:

Given this information, we can set up an equation

[tex]11x + 9y = 82[/tex], where x is the amount of shirts bought, and y is the amount of shorts bought. Since we know she bough 5 shirts, we can replace x with 5

[tex]11 (5) + 9y = 82[/tex]   Now, we have to find for y.

Step 1. Simplify

[tex]55+9y=82[/tex]

Step 2. Subtract 55 from both sides

[tex]55-55+9y=82-55\\9y=27[/tex]

Step 3. Divide both sides by 9

[tex]\frac{9y}{9}=\frac{27}{9}\\y=3[/tex]

If y = 3, this means that Jiyoung bought 3 shorts.

What is the x-coordinate of the point shown in the graph?
y
8
4
-2
2 2
4
B
-8-6-4-2
-2
4

Answers

Answer:

-5, -7 or its -7, -5

Step-by-step explanation:

Answer:

-7 -5

Step-by-step explanation:

HELP ASAP! QUESTION IN PHOTO

Answers

Answer:

6.4

Step-by-step explanation:

1-1.6

4X1.6=6.4

5c + d = c+ 4d find the ratio c:d

Answers

Answer:3c + 18d brainless pls

Step-by-step explanation:First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

3

(

5

c

+

4

d

)

+

6

(

d

2

c

)

(

3

5

c

)

+

(

3

4

d

)

+

(

6

d

)

(

6

2

c

)

15

c

+

12

d

+

6

d

12

c

Next, group like terms:

15

c

12

c

+

12

d

+

6

d

Now, combine like terms:

(

15

12

)

c

+

(

12

+

6

)

d

3

c

+

18

d,

The answer is 3:4.

Given:

[tex]\to 5c + d = c+ 4d[/tex]

To find:

c:d=?

Solution:

\to 5c + d = c+ 4d

simulating the identical terms:

[tex]\to 5c -c = 4d-d\\\\\to 4c = 3d\\\\\to \frac{c}{d} = \frac{3}{4}\\\\\therefore\\\to c:d= 3:4[/tex]

so, the ratio is 3:4

Learn more about the ratio:

brainly.com/question/4534527

HELP ME ASAP PLEASE TIMED

Answers

Answer:

All real values of x such that x != 5

Step-by-step explanation:

x cannot equal 5 because it will cause a division by 0 error

HELP!!!
Write the slope and a point from each of the given equations

1) y + 5 =-7/4(x-4)

Answers

Answer: x=

7

Step-by-step explanation:

Convert 6 4/5 to an improper fraction.
Convert 5 3/4 to an improper fraction.
Solve: 3 1/3 ÷ 25/4
Solve: 14/3 ÷ 3 1/2
Solve 3 1/4 ÷ 5 1/2

Answers

6 4/5 as improper fraction is 34/5

5 3/4 as improper fraction is 23/4

3 1/3 by 25/4 is 8/15

14/3 by 3 1/2 is 4/3

3 1/4 by 5 1/2 is 13/22

Which statement about rational numbers is true?
O All rational numbers are fractions.
O Rational numbers never have repeating decimals.
O Some integers are not rational numbers.
O All fractions containing integers are rational nurnbers.

Answers

Answer:
All fractions containing integers are rational numbers.

Explanation:

Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number

WILL GIVE BRAINLIEST PLS HELP
An action figure is 5 inches tall. If the toy company modeled the action figure off of a TV star that is 6 feet 3 inches tall. What ratio did they use?
A. 15 inches = 1 inch
B. 14 inches = 1 inch
C. 14.4 inches = 1 inch
D. 1.6 inches = 1 inch

Answers

Answer:

a

Step-by-step explanation:

HERE ARE SOME LOVELY POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE HELP KE

Answers

Answer:

Aww spanx! :) You are very kind!

Step-by-step explanation:

Answer:

Thanks if this is free points!

I'm truly sorry if this is an actual question because i cant see the pictures you attached :(

Step-by-step explanation:

              May I have brainiest I'm trying to level up!

                      </3 PureBeauty

the quotient of r with a devisor of 3

Answers

Answer:

r/3

Step-by-step explanation:

cuz of simple maths

Kiran's mother gets a restaurant bill for $25. She has a coupon for 15% off. After the
discount is applied, she adds 20% as a tip.
What is the total after the discount and tip? Explain or show your reasoning.

Answers

Answer:

$25.50

Step-by-step explanation:

So we have a 15% off coupon. We can multiply 25×.85 to find our new price.

Our total is now $21.25

Now to find the tip do $21.25 +(.2 × 21.25)

*The .2 is 20 percent of our discount price.*

We then get $25.50

Bananas cost $1 for 3 pounds. How much for 1 pound?​

Answers

Answer:

0.33

Step-by-step explanation:

Help me please I'm bad at geometry​

Answers

it’s actually all except bottom left

Matt is rounding some numbers to the nearest tenth. Select the number that will have a 4 in the tenths place after rounding.
4.04
5.39
6.34
7.48

Answers

6.39 :) because in the tenths place there is a 3 and the six rounds that up to a 4!

Answer:

5.39

Step-by-step explanation:

4.04 rounded will be just 4

5.39 rounded is 5.4

6.34 rounded is 6.3

7.48 rounded is 7.5

When rounding if the second number is less than 4 you don't change it like in 6.34 that 4 after the 3 means it will just be 6.3 BUT if the second number is 5 or higher you round up on like with 5.39 it became 5.4 and with 7.48 it became 7.5  

Does this procedure describe a completely randomized design for this experiment?

Answers

Answer:

Yes

Step-by-step explanation:

4 x 6 + 29 divided by 5 - 4

Answers

Answer:

25.8

Step-by-step explanation:

pls mark this as brainliest! thx hope this helped. :)

Answer:

The answer would be 25.8 or you can do 258

Step-by-step explanation:

please help a.s.a.p!!!

Answers

Answer: I believe the answer is 2,3, and 4. If not, then it is just 2 and 4.

Step-by-step explanation:

maybeeee just 2 and 4

Find (12y + 20y2 – 2) + (-13y2 + y - 10). Write your answer in
standard form.

Answers

Answer:

7y²+13y-12

Step-by-step explanation:

20y²+12y-2-13y²+y-10

7y²+13y-12

I GIVEEEE BRAINLILST

Answers

Answer:

its a scale factor of 4

Step-by-step explanation:

60 minutes equal to how many hours​

Answers

Answer:

One hour

Step-by-step explanation:

Sixty minutes is one hour. Hope I helped you out.

Answer:

1 hour

Step-by-step explanation:

60 seconds = 1 minute

60 minutes = 1 hour

Lil Pump = Forever

5x - 3 (x+3) = what to have infinitely many solutions

Answers

Answer: 1/4

Step-by-step explanation: I think that’s the answer! i’m sorry i’m in 8th fe are

These are the weekly wages paid to staff in a hotel.

£245
£140
£525
£163
£195
£174
£140

What is the median wage?

Answers

If I’m not mistaken 174 is your median
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