71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142. The variance of this data set is?

Answers

Answer 1

Answer:

636.41818

Step-by-step explanation:

^2=∑=1(−⎯⎯⎯)2−1

^2=−1

^2=6364.181811−1

^2=6364.181810

^2=636.41818

I hope this helps :)


Related Questions

Use a formula to find the surface area of the cylinder. Use 3.14 for pi

Answers

Answer:

A = 376.99

Step-by-step explanation:

A=2πrh+2πr2

Just plug in and solve:

A=2πrh+2πr2

A = 376.99

Araine borrows $400 on a 4-year loan. She is charged 5% simple interest per year. How much interest is she charged for 4 years? What is the total amount she has to pay back?

Answers

Answer:

Interest Charged = $80

Total payback = $480

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Present Value (PV) = $400

Time period (n) = 4 years

Interest rate (r) = 5%

So, we can calculate the future value(FV), by using following formula,

FV = PV ( 1 + n × r)

By putting the value, we get

FV = $400 ( 1 + 4 × 0.05)

= $480

Hence total amount she has to pay back = $480.

Interest charged = FV - PV

= $480 - $400

=$80

Whats a Factor tree?

Answers

A factor tree is a diagram used to determine the prime factors of a natural number greater than one.

Trina said that $1.05 + $2.25 = $3.35 because a dollar and 2 quarters plus 2 dollars and a quarter equals 3 dollars and 3 quarters. Do you agree or disagree with her statement? Explain.

Answers

Answer:

No, I do not agree

Step-by-step explanation:

Recall :

1 quarter = 25 cents = $0.25

Therefore,

$1 and 2 quarters ; $1 and 2(0.25) =50 cents = $1.50

2 dollars and a quarter ; $2 and 0.25 = $2.25

Adding both:

$1.50 + $2.25

__ $1. 50

__ $2.25

________

__$3.75

_______

The sum is $3.75 and not $3.25

$1 and 2 quarters ; $1 and 2(0.25) =50 cents = $1.50 and not $1.05

24 foot wire is tied from a stake in the ground to the top of flagpole. If the angle elevation from the stake to the top of the flagpole is 53 degrees how far is the stake from the base of the flagpole? Round to the nearest tenth

Answers

Answer:14.44 ft

Step-by-step explanation:

Given

Length  of wire [tex]l=24\ ft[/tex]

Angle of elevation [tex]53^{\circ}[/tex]

from the figure

[tex]\Rightarrow \cos 53=\dfrac{b}{24}\\\\\Rightarrow b=24\cos 53=14.44\ ft[/tex]

The answer is,  [tex]14.44 ft[/tex]

Definition of angle of evevation:

The angle between the horizontal and a line of sight from the observer to a place of interest that is "upwards."

An Angle of Depression occurs when the angle moves "downwards."

Given,

Wire's length [tex]l=24ft[/tex]

The elevation angle [tex]53^{0}[/tex]

[tex]cos 53= \frac{b}{24} \\b=24 cos53\\=14.44ft[/tex]

Learn more about angle of elevation here, https://brainly.com/question/88158

#SPJ2

In the figure,Line x is parallel to line y. identify the angles congruent to angle 3

Answers

Answer:

For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

Step-by-step explanation:

if possible, verify sin^2(x)/1 + cos(x) = 1 - cos(x) by rewriting the left hand side of the equation.

I really really don't understand identities, and I'm not getting replies from my teacher. Thank you for any help I do get!!​

Answers

sin^2(x)/1 + cos(x) = 1 - cos(x)

We know that sin^2 x = 1 - cos^2 x. It is one of our trig identities.

We now have this:

(1 - cos^2 x)/(1 + cos x) = 1 - cos x

Take note:

1 - cos^2 x is a perfect square difference in terms of cosine.

So, (1 - cos^2 x) = (1 + cos x)(1 - cos x).

We now have this:

[(1 + cos x)(1 - cos x)]/(1 + cos x) = 1 - cos x

Do you see what happens on theft side?

On the left side, (1 + cos x) cancels out on the top and bottom.

We are now left with this:

1 - cos x = 1 - cos x

Done!!

HELP!!!! Put the following in order from greatest to least.

Answers

Answer:

A

Step-by-step explanation:

A = 9, 7, 5, -2, -6, -8

Which expression is equivalent to

Answers

Answer:

i think is b

Step-by-step explanation:

Answer:

C: 2

Step-by-step explanation:

the numerator equals 8 and the denominator equals 2, so its (8/2)^1/2

which all equals 2


SOS ... - - - ...

Will give brainliest help

Answers

Answer:

x = 11 , y = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

The opposite sides of a parallelogram are congruent

For the figure to be a parallelogram , then

ON = LM, that is

5x - 7 = 4x + 4 ( subtract 4x from both sides )

x - 7 = 4 ( add 7 to both sides )

x = 11

and

OL = NM , that is

3y - 4 = x - 7 = 11 - 7 = 4 ( add 4 to both sides )

3y = 8 ( divide both sides by 3 )

y = [tex]\frac{8}{3}[/tex]

11.) Solve the equation.
I
16m² + 8m = 0
a) m = 0, m = -2
b) m = 0, m=2
c) m= 0, m=
d) m = 0,m=-1/2

Answers

I think it’s d byeeeeee

I need help my mind don’t proses right.! f(x) = x2. What is g(x)?

Answers

Answer:

hey will you join in zo om if your intrested

The Flying Dutchman, located in St. Martin, is the steepest zipline in the world. While sailing downhill at 56 miles per hour, you lose 1,050 feet of elevation across 2,800 feet of cable. If you are at the top getting strapped in, what is the angle of depression between you and a safe landing at the bottom? (Drawing a diagram may help.)

Answers

Answer:

Sine angle A = 1,050 / 2,800

Sine angle A = .375

arc sine (.375) = Angle A

Angle A = 22.024 Degrees

(THIS REPLACES THE PREVIOUS ANSWER.)

Step-by-step explanation:

If a driver drives at a constant rate of 32 miles per​ hour, how long would it take the driver to drive 176 ​miles?

Answers

Answer: 5.5 hours

Step-by-step explanation:

  It will take 5.5 hours because divided 176 and 32: 176/32 equals 5.5

Answer:

5.5 hours

Step-by-step explanation:

Simplify
(x-5)^2
If right will get brainleist

Answers

Answer:

x² - 10x + 25

Step-by-step explanation:

FOIL (first, inner, outer, last)

(x-5)(x-5)

x² - 5x - 5x + 25

x² - 10x + 25

Round 2,492,786.34 to the nearest whole number

Answers

Answer:

2,492,786

Step-by-step explanation:


1.5n=3n+5
2. 8a = 4a + 20
3.4n + 5 = 3n - 8
4. 12y = 3y + 24
5. 6n + 7 = 8n -9​

Answers

Hopes this helps:

Answers:

1. N = 5/2
2. A = 5
3. N = -13
4. Y = 8/3
5. N = 8

which of the following points is the solution of the quadratic equation : 3x² - 5x-2=0​

Answers

Answer:

answer in the file

Step-by-step explanation:

verify the following
1. (-3/4)3 = -27/64

Answers

The correct answer would be -9/4

Jimmy and his friends want to sign up for a game rental service. They have information on game rental plans from four different companies. The friends plan to rent 15 games per month. Which plan is the BEST? Use substitution to determine the best price.

A-GameStop; pay $5 for each game ordered. (5g)
B-Level-up Games; pay $25 to join and $2 for each game ordered (2g + 25)
C-Game Changer; pay $20 to join and $2.50 for each game ordered (2.5g + 20)
D-Game Land; pay $60 per month for unlimited amount of game rentals (60)

Answers

Answer: A

Step-by-step explanation:

It’s the cheapest

HELLllllllPPppppp !!!

Answers

9514 1404 393

Answer:

 BC ≈ 17.0 (neither Crow nor Toad is correct)

Step-by-step explanation:

The left-side ratio of (2+4)/4 = 3/2 suggests BC is 3/2 times the length DE. If that were the case, BC = (3/2)(11) = 16.5, as Crow says.

The right-side ratio of (5+9)/9 = 14/9 suggests that BC 9 is 14/9 times the length DE. If that were the case, BC = (14/9)(11) = 154/9 = 17 1/9 ≈ 17.1, as Toad says.

The different ratios of the two sides (3/2 vs 14/9) tell you that the triangles are NOT similar, so the length of BC cannot be found by referring to the ratios of the given sides.

Rather, the Law of Cosines must be invoked, first to find angle A (109.471°), then to use that angle to compute the length of BC given the side lengths AB and AC. That computation gives BC ≈ 16.971. (See the second attachment.)

7) The radius of a sphere is 7 feet. Determine the volume of the sphere. Round your answer
to two decimal places. (use n = 3.14)

Answers

Bsgshytdts33627)363))3

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

number 8 is $0

number 9 is D

Answer:

number 8 is $0

number 9 is D

Complete the equations below. please only if you know

Answers

Answer:

153, 51, 5.1

Step-by-step explanation:

15.3÷3= 153 tenths÷315.3÷3=51 tenths15.3÷3=5.1

The total weight of the shape blocks on both sides of Michael's pan balance equals 30 grams. Circles weigh 5 grams, squares weigh 10 grams, and triangles weigh 3 grams. The right side has a circle and a square. How many triangles are on the left side?

Answers

Answer:

There would be 5 triangles on the other side

Step-by-step explanation:

If the right side has 1 circle and 1 square, that would mean that there is 5g+10g=15g weight on the right side

In total, there is 30g, and we already have 15

We can use the equation 15+3x=30, and by solving, the answer would be 5 triangles.

Hope this helps!

Pls help with c. and d. Plssss I will give bonus if you answer it correctly.

Answers

Answer:

Austing needs 160 boxes to complete the rack.

Step-by-step explanation:

Givens

12 cereral boxes occupies 60 centimeters of shelving.

The rack has 10 meters of shelving, equivalent to 1000 centimeters.

2 meters are already used.

There are 800 centimeters of shelving remaining.

To find the total number of cereal boxes needed to use the whole rack, we just need to use the rule of three: If 12 cereal boxes occupies 60 centimeters of shelving, 800 centimeters would require how many cereal boxes

Therefore, Austing needs 160 boxes to complete the rack.

Answer: C. Y=(1000-200)/5

D. 160 boxes of cereal

Step-by-step explanation: To create the equation I changed the measurements all to centimeters by scaling up the meters by 100 since there are 100 centimeters in a meter.

Destiny has a bag with 3 green, 4 red, and 5 blue marbles. Destiny will pick 2 marbles from the bag, one at a time without looking. She will not replace a marble before picking the next marble. What is the probability of Destiny picking a red marble, followed by a green marble?

A. 1/12
B. 1/11
C. 7/12
D. 1/2

Answers

There are 4+3+5=12 marbles in the bag.
Let’s find how many green and red balls are in the bag. 4+3=7
So that means the probability of picking a red marble followed by a green marble is 7/12 (C)

Someone pls help:( I can’t

Answers

Answer:

x = 8 is the answer :)

Step-by-step explanation:

Slope(m) = -2/5

slope is passing through the points: (x,1) and (3,3)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{3-1}{3-x}[/tex]

[tex]m=\frac{2}{3-x}[/tex]

[tex]-\frac{2}{5} =\frac{2}{3-x}[/tex]

-2(3 - x) = 2 × 5

-6 + 2x = 10

2x = 10 + 6

2x = 16

x = 8

Hopefully, this answer helped :)

One endpoint of a line segment has coordinates represented by (x + 2, 3y). The midpoint of the line segment is (6, -3). How are the coordinates of the other endpoint expressed in terms of x and y? O (10 – r, y) O (10 - 1,-6-y) (12 - 2,6 - 3y) (14 – 1,3 - y) 1 2 3 4 5 Next​

Answers

The answer will going to be B

On a map, Haven Rd and Pine Rd are parallel, and Mills Rd is a transversal. How can the
value of x be determined?

Answers

Answer:

B: Corresponding angles are congruent, so x = 43

Answer:

B: Corresponding angles are congruent, so x = 43

Step-by-step explanation:

Other Questions
8. A transform boundary, where one tectonic plate slides past another, is likely to result inwhich of the following?A. Frequent earthquakesB. Rift valley formationsC. Intense weatheringD. Mountain building9. A rising hot air balloon is acted on by a force pulling it upward and by the force of gravityNonton's law of inertia what will happen to the balloon Two companies, A and B, both have $1 million in assets, earnings before interest and taxes (EBIT) of $160,000, and the same tax rate. Company A is all equity financed, and Company B is 50% debt financed and 50% equity financed. If Company B's pretax cost of debt is 8%, then Company A will have a ROA that is _____ and a ROE that is _____ than Company B's. a. Option D b. Option B c. Option A d. Option C Giving brainliest please help Which expression can go in the blank to make this equation true -4.5 + 4.4 + ? = 0 3 poiList the three types of heterotrophs in alphabetical order. Use commas.Please do not use capital letters. Spelling counts. HELP ME PLEASE SOMEBODY IM REAL BAD AT MATH AND IM TAKING A TEST AND THIS QUESTION IS VERY CONFUSING I NEED A REAL ANSWER NOT A FAKE LINK!!! Where do file name extensions appear?(Select the best answer.)O Above the file nameO Below the file nameO At the beginning of the file nameO At the end of the file name PLEASE HELP I WILL GIVE BRAINIEST Find the area of the shaded region. Round to the nearest tenth if necessary.8 in.12 in.5 in.15 in. What is the name of the planet next to the label A?Solar SystemEARTHSUNA. UranusO B. NeptuneC. JupiterdD. SaturnPlease help A rock sinks 160 feet in 20 seconds. Find the average rate of change per second. Lily plants 2 red rosebushes, 8 pink rosebushes, and 6 yellow rosebushes. What is the ratio of pink and redrosebushes to total rosebushes?A. 8 : 2B. 8 : 16C. 10 : 16D. 10 : 6 how are plains form? Investigators are interviewing a suspect about a murder. They believe that the suspect is guilty and tell the suspect information about the crime and crime scene. The suspect later confesses to the crime. What might this situation be an example of?A. Police MisconductB. Mitigating CircumstanceC. Conflict of interestD. Confession Contamination Choose all of the formulas you would use to find the volume of the compound solid shown here.V=nrnV = rV = TurnV = 47112 How do you give someone brainliest? This is not a test but pls help Based on the selections in this lesson and your own reading. what appears to be the most common point of view used in short fiction?.first personOB. second personOC. third personOD.none of the above What is the distance between (8,2.5) and (8,-5)? pls helpWrite the opposite words in the spaces provided. Then unscramble the letters marked with asterisks (*) to complete the sentence on the bottom.1. rpido: ** 2. generosa: ** 3. divertido: ** 4. tonto: ** ** 5. bonitos: **6. alta: **7. mala: ** 8. gordo: ** 9. fcil: ** 10. rubia: ** La clase de espaol es