For the following set of data, find the population standard deviation, to
the nearest thousandth.

45, 30, 35, 20, 21, 46, 16, 37

Answers

Answer 1
Answer:   10.721

=====================================================

Explanation:

Before we can find the standard deviation, we need to find the sample mean which is xbar.

Xbar is found by adding up the values and dividing by n = 8 since there are 8 values in this data set

xbar = (sum of values)/n

xbar = (45+30+35+20+21+46+16+37)/8

xbar = 31.25

Refer to the spreadsheet table below in the attached image. The first column is the column of x values, which is the data set given to us. The next column over is the expression x-xbar, which will have us subtract xbar from each data value.

Example: x-xbar = 30-31.25 = -1.25 in row 2

From there, we square everything in that second column to form the third column. Adding everything in that third column results in the yellow highlighted value 919.5

---------------

The next step is to divide that over n = 8 to get 919.5/n = 919.5/8 = 114.9375

This is the population variance. Apply the square root to get the population standard deviation

sqrt(variance) = sqrt(114.9375) = 10.7208908

which is approximate. This rounds to 10.721

---------------

Note: if you wanted the sample standard deviation, then you'd divide by n-1 = 8-1 = 7. However, the other steps mentioned are identical.

For The Following Set Of Data, Find The Population Standard Deviation, Tothe Nearest Thousandth.45, 30,

Related Questions

The linear probability model is: the application of the multiple regression model with a continuous left-hand side variable and a binary variable as at least one of the regressors

a. True
b. False

Answers

The answer is falseeee

Find the circumference of the object.
2 meters

Answers

Answer:

circumference =2×3.14

circumference =6.28 m

A 30 ft ladder is leaning against a wall making a 48 angle with the ground. Approximately how far from the wall is the base of the ladder?

Answers

The image below shows how the diagram should look. We are solving from how far the wall is from the ladder and we are representing it as x.

Based on the type of triangle below we are going to use Trigonometry ratios.

We are going to use the Sine ratio, which is opposite over hypotenuse.

Let opposite be x, hypotenuse be 30 and theta (angle) be 48 deg.

Sine 48 = x/30

Make x the subject

x = 30 Sine 48

Just go ahead and lunch this in a calculator.

x = 22.3 ft

Therefore the distance of the wall from the base of the ladder is 22.3 ft

Choose the correct name for the polygon.


VRUST


SRVUT


SRTUV


RSVUT

Answers

SRVUT is the correct one im pretty sure

The name of polygon is SRVUT.

What is Polygon?

In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).

Given:

Usually while naming the polygon we have to focus on the letter to which each vertex is allotted.

and, the name of any geometrical shape should be in a flow, it should be like which letter come after the previous in clockwise or anticlockwise order.

Here, the polygon will have name:

VRSTU

RSTUV

STUVR

TUVRS

UTVRS

Learn more about Polygon here:

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In a standard deck of cards, what is the probability of drawing a face card followed by drawing a non-face card

Answers

Answer:

0.1771

Step-by-step explanation:

total number of cards in a deck : 52

number of face card per suite : 3

total number of suites : 4 (hearts, clubs, diamonds, spades)

3 * 4 = total number of face cards

12/52 = 0.23 = probability of drawing a face card

remaining card are non face cards

52-12 = 40

40 non face cards

40/52 = 0.77 = probability of drawing a non face card

probability of drawing a face card followed by a non face card

multiply probabilities together to find combined probability

probability of drawing a face card * probability of drawing a non face card

= 0.23 * 0.77

= 0.1771

one clothing truck visits avas place every 3 days and another clothing truck visits noahs place every 5 days if both clothing trucks visited today when is the next time both trucks visit on the same day

Answers

Answer:

15 days

Step-by-step explanation:

Given

[tex]Truck\ 1: 3\ days[/tex]

[tex]Truck\ 2: 5\ days[/tex]

Required

Next time they both visit

First, list out days of visitation of each truck

[tex]Truck\ 1: 3, 6, 9, 12, 15, 18, 21\ days.....[/tex]

[tex]Truck\ 2: 5, 10, 15, 20, 25, \ days.....[/tex]

Write out the common days;

[tex]Day = 15[/tex]

The next time they both visit is the after 15 days

The formula for distance is d = r*t, where d = distance, r = rate, and t = time. If a car travels for 15 seconds at 88 feet per second, how far will it have traveled?

Hint: Substitute the given values for time (15) and rate (88 feet) into the formula and then solve

Answers

Answer:

1,320ft

Step-by-step explanation:

D= r(88)*t(15)

solve this
SOLVE THIS QUESTION PLEASE

Answers

Answer:

12 hour                24 hour

08:05pm               20:05pm

12:01am                  00:01am              

Step-by-step explanation:

Someone please help-

Answers

Answer:

It shows that 8 is not a factor of 44

It will be a factor of 44 is there is no decimal for the answer

Answer:

it shows that 8 is not a factor of 44

Step-by-step explanation:

because if the result was a whole number, then 8 would be a factor of 44.

find midpoint AB if A (-5, 8) and B (7,-2)

Answers

Answer:

Midpoint = (1, 3)

Step-by-step explanation:

we have coordinates (x1, y1) and (x2, y2)

Then the midpoint is determined by

(x1 + x2)/2 , (y1 + y2)/2

=

[tex] \frac{ - 5 + 7}{2} \: \: \: \: \: \frac{8 + - 2}{2} [/tex]

= 1 , 3

A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle is 6 inches. Find the area of the composite figure.

Answers

Answer:

18.28 sq inches

Step-by-step explanation:

the area of the composite fig. =

(½×3.14×2²)+(½×4×6)

= 6.28 + 12 = 18.28

In the accompanying diagram...

Answers

Answer:

i think maybe use Pythagorean Theorem :

call Kite is K

all state is S

we have KS²= KX²+ SX²

400=144+ SX²

so SX = 16, so that distance in feet between the stake and X is 16 feet

Answer:

16

Step-by-step explanation:

We can solve for a missing side using the Pythagorean Theorem

a² + b² = c²

where a and b = the legs and h = hypotenuse

Looking at the triangle created, we notice we are given a leg ( which has a measure of 12t ) and the hypotenuse ( which has a measure of 12ft )

That being said, we plug in what we are given into the Pythagorean theorem and solve for the missing side length ( aka b )

12² + b² = 20²

step 1 simplify

12² = 144

20² = 400

we now have 144 + b² = 400

step 2 subtract 144 from each side

144 - 144 cancels out

400 - 144 = 256

we now have 256 = b²

step 3 take the square root of each side

√b² = b

√ 256 = 16

we're left with b = 16

So we can conclude that the length from the ground directly over point x to the stake is 16 feet.

( important note: The Pythagorean theorem can only be used in right triangle. )

Army
2. A group of armed forces personnel were surveyed. The branch of service was recorded in the chart below.
Branch of Service Number of Members
165
Navy
135
Marine Corps
60
Air Force
130
Coast Guard
10
What would the degree measure for the sector for the Navy be in a circle graph?
43.20
97.20
93.60
118.80

Answers

Answer:

97.2°

Step-by-step explanation:

yw

The degree measure for the sector for the Navy be in a circle graph is 118.80.

What is angle of a sector ?

"The angle of the sector is 360°, area of the sector, i.e. the Whole circle = πr2. When the Angle is 1°, area of sector = πr2/360° So, when the angle is θ, area of sector, OPAQ, is defined as; A = (θ/360°) × πr2."

Given here,

Navy = 165 members

Total members = 495

So, navy percentage in the circle is [tex]\165*495/ 100 = 27.27[/tex]

And, angle of the sector of Navy is = [tex]27.27*360/100[/tex] = 118.80

Hence, option D is correct.

To know know about degree measure here

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Problem #4:
and one
sum of
A gumball machine contains 15 green gumballs, 6 yellow gumballs, and
11 pink gumballs.
The gumball machine dispenses 1 gumball at a time.
a) What is the probability of getting a pink gumball?
b) What is the probability of getting three pink gumballs in a
row?
c) If the machine was refilled, and you purchased 4
gumballs, what is the theoretical probability of the machine
dispensing 4 green gumballs?
d) If we add 8 orange gumballs to the machine, what is the probability
of getting two orange gumballs and then a yellow gumball.
be closest
at 18.

Answers

Answer:

Step-by-step explanation:

Prepare closing entireties for the concert hall bond fund

I only know the first one which is 11/32

Which coordinate point represents the y -intercept of the equation 3x + 2y = 18

Answers

Answer:

(-6,18)

Step-by-step explanation:

3x + 2y = 18

2y= -3x + 18

y=-3/2 x + 18

give x=0

y=-3/2 *0+18

y=18#

y=18

3x+2(18)=18

3x+36=18

3x=18-36

3x=-18

x=-18/3

x=-6

(6.TA; 5. BLE) 4. Mrs. Turner buys oats for the animals on her farm. Each bag of oats weighs 7.4 ounces. If the animals eat 4.8 bags of oars, what is the total weight of the oats they cat (in ounces) Record your answer in the boxes. Then fill in the bubblcs. Be sure to use the correct place value.​

Answers

Answer:

35.52 ounces

Step-by-step explanation:

7.4 * 4.8 = 35.52

A town recently dismissed 88 employees in order to meet their new budget reductions. The town had 77 employees over 5050 years of age and 1717 under 5050. If the dismissed employees were selected at random, what is the probability that at least 66 employees were over 5050? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer:

0.0013 probability that at least 6 employees were over 50.

Step-by-step explanation:

The employees were "chosen" to be dismissed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

8 employees dismissed means that [tex]n = 8[/tex]

Had 7 + 17 = 24 employees, which means that [tex]N = 24[/tex]

7 over 50, which means that [tex]k = 7[/tex]

What is the probability that at least 6 employees were over 50?

6 or 7, so:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex].

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 6) = h(6,24,8,7) = \frac{C_{7,6}*C_{17,2}}{C_{24,8}} = 0.0013[/tex]

[tex]P(X = 7) = h(7,24,8,7) = \frac{C_{7,7}*C_{17,1}}{C_{24,8}} \approx 0[/tex]

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.0013 + 0 = 0.0013[/tex]

0.0013 probability that at least 6 employees were over 50.

HELP ASAP PLEASE
Which expression can be used to find the volume of the cone in this composite figure?

Answers

Answer:

option 1

Step-by-step explanation:

[tex]volume \ of \ cone = \frac{1}{3} \pi r^2 h \\r = 4\\h = 8\\so, volume = \frac{1}{3} \pi (4^2)( 8)[/tex]

The figure 1 i think you can used to find the volume

Find the area of the composite figure below

Answers

Answer:

54

Step-by-step explanation:

Puzzle- Please help me with this question

Answers

Answer:

Step-by-step explanation:

Multiply the two top numbers together. Then record the first digit of the answer.

5*4 =20              Record 2

9*8 = 81              Record 8

3*6 =18               Record 1

7*5 = 35             Record 3

The _________ in the usage of words may be a serious barrier to effective communication

Answers

The answer that is needed in the blank is disturbance

Which is an irrational number?

Answers

sqrt(5/3)
and
sqrt(0/6)
many square roots are irrational numbers as long as they are not a perfect square
|-3| becomes positive 3
0.6 can be converted into a fraction 6/10

Find the values of x any y.
..........................,,,,,,,,.........................

Answers

There are so many types of angles, let's see what we've got here!

--(5x - 17) and 48 are alternate interior angles, which means that they are congruent.

--(5x - 17) and y are supplementary angles.

--48 and y are same-side interior angles, which means that they are also supplementary.

Let's solve for x first.

5x - 17 = 48

5x = 65

x = 13

Now, let's solve for y.

48 + y = 180

y = 132

Hope this helps!! :)

Wanda Frey insured her home for $156,400. Her annual insurance rate is $0.83
per $100. What annual premium did she pay?

Answers

Answer:

$1,298.12

Step-by-step explanation:

there are 1564 hundreds in 156,400

so 1564 x .83 = 1298.12

If mCD = 60 and m
find mAB!

Answers

Answer:

246= AB

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

<P = 1/2 ( AB - CD)

93 = 1/2 ( AB - 60)

Multiply by 2

186 = ( AB-60)

Add 60 to each side

186+80 = AB

246= AB

solve the equation

f(n)=10⋅2n for n = -2

Answers

Answer:

f(n)= -40.

Step-by-step explanation:

If AnB={1,0,-1} and AnC ={0,-1,2,3} then find An(BuC)​

Answers

A n B = { 1 , 0 , - 1 }

A n C = { - 1 , 0 , 2 , 3 }

_________________________________

A n ( B U C ) =

( A n B ) U ( A n C ) =

{ - 1 , 0 , 1 } U { - 1 , 0 , 2 , 3 } =

{ - 1 , 0 , 1 , 2 , 3 }

Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold
70 ml more than a mug. How much water can a mug hold? Give your answer in litres.
​(with full working)

Answers

9514 1404 393

Answer:

  0.33 litres

Step-by-step explanation:

If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...

  3(m +0.07) +4m = 2.52

  7m +0.21 = 2.52 . . . . . . . . simplify

  7m = 2.31 . . . . . . . . . . . . . subtract 0.21

  m = 0.33 . . . . . . . . . . . . . divide by 7

Each mug can hold 0.33 litres.

84563 to 3 significant figures

Answers

Answer:

84563 to 3 significant figure is 85,000.

Step-by-step explanation:

In this problem, we need to round off 84563 into 3 significant figures.

Significant figures are the digits that reliable and absolutely necessary to indicate the quantity of something. If a number expressing the result of measurement of something.

In 84563, it is eighty four thousand five hundred and sixty three. It is rounded off to 3 significant figures as 85,000.

Hence, 84563 to 3 significant figures is 85,000.

Bartholemew will draw with replacement 160 tickets at random from a box with five tickets [0, 0, 0, 1, 2]. Estimate the chance that the ticket with the 1 on it turns up on exactly 32 draws. Show your work. Please round your answer to the nearest whole percent. (Do not write the % sign, just the whole number.)

Answers

Answer:

0.0786

Step-by-step explanation:

It is given that Bartholemew had drawn the replacement of 160 tickets.

There are five tickets = [0, 0, 0, 1, 2]

Now we need to find the estimate of the ticket that has 1 on it and it turns up on the 32 draws exactly.

Since the probability of the drawing 1 out of 5 tickets is given by,   [tex]$\frac{1}{5} = 0.2$[/tex]

So the binomial with the parameter of n = 160 and p = 0.2, we get

P (it turns up on exactly 32 draws) = P(X = 32)

Therefore,

[tex]$C(160, 32)\times (0.2)^{32}\times (0.8)^{160-32}$[/tex]

= 0.0786

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