if the mean of a data is 316 and the sum of its observation is 3792 find the number of observations in the data.​

Answers

Answer 1

Answer:

12

Step-by-step explanation:

mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Here mean = 316 and sum = 3792 , count n is required to be found, so

[tex]\frac{3792}{n}[/tex] = 316 ( multiply both sides by n )

3792 = 316n ( divide both sides by 316 )

12 = n

There are 12 observations in the data


Related Questions

6.
Which of the following is the graph of the equation y = −2x2 − 3x + 4?

Answers

Answer:

From the looks of the graph, it looks like the answer will be Letter C. (The last graph).

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  ( − 3 /4 ,  41 /8 )

Focus:  ( − 3 /4 ,  5 )

Axis of Symmetry:  x = − 3 /4

Directrix:  y = 21 /4

x                  y

− 3               − 5

− 2                2

− 3                4

41                8

0                 4

1                 − 1

A college employs 15 stewards. What is the average monthly wage of the stewards if the college pays 226.20 in wages each month?​

Answers

Answer:

$15.08

Step-by-step explanation:

As the value 226.20 is the total of all wages, you can work out the mean.

Mean averages are usually worked out as the total / number of values.

Because you already know the total is 226.20 and the number of values is 15 different wages, divide 226.20 by 15 to get $15.08.

3.) Write the equation of a quadratic function that is shifted down 4 and horizontally compressed by 1/5

Answers

Answer:

[tex]5x^2 - 4[/tex]

Step-by-step explanation:

For shifted down a function you have to follow the next structured:

[tex]f(x) - c[/tex]

In our case is:

[tex]x^2 - 4[/tex]

Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:

[tex]f(cx)[/tex]

In our case is:

[tex]5x^2[/tex]

Maybe you can think, why 5 and not [tex]\frac{1}{5}[/tex] instead?. Well, when you multiply by [tex]\frac{1}{5}[/tex] this dilate or stretch the graft because the output of each value is smaller, example:

[tex]f(x) = x^2\\g(x) = \frac{1}{5} x^2[/tex]

Then evaluate for a number, for example 5:

[tex]f(5) = 25\\g(5) = 5[/tex]

the output of [tex]g(x)[/tex] is 5 steps a far from the answer of [tex]f(x)[/tex] this in a graph is illustrate as a stretching.

So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".

So combine the two transformation and get [tex]5x^2 - 4[/tex]

Suppose a principal amount of $7500 was invested at an interest rate of 6%. How long did it take to reach $10650?

Answers

Based on the information how long did it take to reach $10650 is 7years.

Given:

Principal=$7,500

Rate=6%

Amount=$10650

Time=?

Simple Interest(SI)=A-P

=$10650-$7500

=$3150

Time=(100×SI)/(p×r)

T=(100×3150)/(7500×6)

T=315,000/45,000

T=7 years

Inconclusion how long did it take to reach $10650 is 7years.

Learn more here:

https://brainly.com/question/15610358

The period it took the $7,500 investment to reach a future value of $10,650 at a compounding interest rate of 6% is 6 years.

What is the future value?

The future value refers to the compounded value of present cash flows in the future, using an interest rate.

The future value can be determined using the future value table or formula.

We can also determine the future value using an online finance calculator, which also enables us to determine the period required to get a stated future value.

Data and Calculations:

PV (Present Value) = $7,500

I/Y (Interest per year) = 6%

PMT (Periodic Payment) = $0

FV (Future Value) = $10,650

Results:

N (# of periods) = 6 years

Total Interest = $3,142.17

Thus, the period it took the $7,500 investment to reach a future value of $10,650 at a compounding interest rate of 6% is 6 years.

Learn more about future values and periods at https://brainly.com/question/12890404 and https://brainly.com/question/20392017

simple math question!!!

Answers

There are 25 boxes and 15 of them are shaded.

15/25 = 0.6 = 60%

Answer:

15%

Step-by-step explanation:

Because 5 x 3 = 15%. So the answer is 15%

help me with this please

Answers

One can of beans is 85p

So

3 cans is
85 +85 +85 = 255

= £2.55 for 3 cans

if you get it right ill mark brainliest​

Answers

Answer:

Step-by-step explanation:

? i cant see what the page is

.ggzgugimjhzieejwjdjnenwuene

Answers

Answer:

what da hel.l I didn't understood anything

On October 1, Organic Farming purchases wind turbines for $140,000. The wind turbines are expected to last six years, have a salvage
value of $20,000, and be depreciated using the straight-line method.
1. Compute depreciation expense for the last three months of the first year.
2. Compute depreciation expense for the second year.

Answers

9514 1404 393

Answer:

$5000$20,000

Step-by-step explanation:

1.

The annual depreciation is the predicted change in value each year. The change in value for 6 years is predicted to be ...

  $140,000 -20,000 = $120,000 . . . . loss of value in 6 years

3 months is 1/4 of one year, so the loss of value in that time period is ...

  $120,000/6 × 1/4 = $5000

The depreciation expense for the last 3 months of the first year is $5000.

__

2.

The depreciation expense for the second year is ...

  $120,000/6 = $20,000

If GH is an altitude, what would mZGHF have to be?

Answers

Answer:

Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

Step-by-step explanation:

A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher. For Saturday’s game, the coach has not yet determined which 9 players to use nor what the batting order will be, except that the pitcher will bat last. How many different batting orders at occur?

Answers

Answer::2,075,673,600 batting orders may occur.

Step-by-step explanation: A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher.

The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?

Answers

Step-by-step explanation:

the numbers : x, y

x + y = 65

x = y + 5

we use the second equation in the first equation :

y + 5 + y = 65

2y + 5 = 65

2y = 60

y = 30

x = y + 5 = 30 + 5 = 35

Write a polynomial function with given zeros √8, √10

Answers

Answer:

y = x^2 - (sqrt(8) + sqrt(10))x + sqrt(80)

Step-by-step explanation:

we do y = (x- sqrt8)(x -sqrt10) and simplify

Mathematics questions are in the image, just answer them and no work included! i'll give brainlist to the most helpful answer!

Answers

1. 4

2. 6

3. 10

4. 30

5. 48

6. 55

7. 68

8. 148

9. 102

10. 38

Would appreciate brainly <3

Which equation represents a line that is parallel to the line 4x-3y=15
1) y = -4/3x - 4
2) y = -3/4x - 2
3) y = 4/3x + 2
4) y = 3/4x - 6

Answers

Answer:

1

Step-by-step explanation:

because... it is

what is the percent of $300,000=$75,000​

Answers

Answer:

25%

Step-by-step explanation:

75000/30000=75/300=25/100=25%

Answer:

25%

Step-by-step explanation:

(75,000​/300,000) (100)

(0.25) (10)

= 25

In which quadrant does the point (13 , 20) lie? A. Quadrant III B. Quadrant I C. Quadrant IV D. Quadrant II

Answers

Answer:

B.

Step-by-step explanation:

The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.

Compute the total amount accumulated if you invested $3,000 for 6 years at 3% compounded
quarterly. Round your answer to the nearest cent and include '$' in your response.

Answers

Answer:

$3,582.16

Step-by-step explanation:

Find the square root of the following: 36
121​

Answers

Square root of 36 is 6 and for 121 its 11
36 square root of it is 6
121 square root of it is 11

(C+X)/X
can be simplified as:​

Answers

[tex] \frac{(c + x)}{x} \\ \\ \frac{c + x}{x} [/tex]

it's can simplify sorry

Try solving this equation. m + 18 = -112

Answers

Answer: m = -130

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

m + 18 = - 112

m = -112 - 18

m = - 130

<3

Answer:

m=94

Step-by-step explanation:

m+18=‐112m=‐112‐18=‐94m=‐94

PLEASE HELP! Economics

Answers

100 francs = 50 dollars

Exchange rate = 50/100

= 1/2

= 0.50 dollars per franc (C)

Note :-

It's dollars per franc because here the dollar has more value.

______

RainbowSalt2222 ☔

Answer:

Im pretty sure it is c

Step-by-step explanation:

A bottle of medicine holds 0.25 litres.
The instructions on the bottle of medicine say: 'Take two 5 ml spoonfuls three times a day
How many days will a full bottle of medicine last?

Answers

Answer:

this is the correct answer happy

simplify 5/13 ( 75 - 49)​

Answers

Answer:

The answer is 10.

Step-by-step explanation:

I'm certain this is correct. :D

Triangle ABC is graphed below. Translate the figure left 2 units and down 3 units.

Answers

Answer:

I think it's maybe  -4

Step-by-step explanation:

Water leaks from tanker at a rate of 8L/h. How much water will leak from the tank in: a: 2 Day. b: 2 Weeks

Answers

Answer:

look at the picture ..........

find the zscore which the area to the left is 0.46

Answers

Answer:

  Z ≈ -0.100

Step-by-step explanation:

A suitable calculator, spreadsheet, or table of the normal distribution can tell you the answer. Attached in the result using a spreadsheet. The function arguments are (area, mean, standard-deviation).

  Z ≈ -0.100

Lunch trays are stacked in
4 stacks with 25 trays in
each stack. How many
lunch trays are in the stacks
altogethere Show your
work.

Answers

Answer:

4 stacks and 25 in each stack

its asking you what is the total so

25*4=100

so 100 trays altogether

Answer:

100

Step-by-step explanation:

25+25+25+25

50+50

100

Amakiri spent N125 for a camera and some film. The camera cost N100 more than
the film. What percent of the cost of the two items did Amakiri spend for the camera?

Answers

Answer:

90%

Step-by-step explanation:

N125 = 2x + N100

2x = N25

x = N12.5

camera = N100 + N12.5 = 112.5

Total = N125

(Camera/Total) x 100 = % spent on camera

(112.5 / 125) x 100 = 90%

Evaluate f(x) at x =-3/4

f(x) = 2 - 6x - 4x^2


Answers

Answer:

4.25 is the final answer!!!

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