The mean of ten numbers is 13. What eleventh number, if included with the original numbers, would result in a mean of 12?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

To find the mean, you divide the number you get from adding all the numbers by the number of numbers. In this case, we know the mean and the number of numbers but don't know the number you get from adding all the numbers. So, we have to do the reverse operation meaning we have to multiply 13 and 10 together which would equal 130.

Now, we do the same thing with 11 and 12, we multiply! 11 x 12 = 132.

130 + 2 = 132, meaning the answer is 2.

You're welcome!

Answer 2

The eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Formula for mean is;

Mean = Sum of numbers/sample size

We are given;

Mean = 13

Sample size = 10

Thus, sum of numbers = 13 × 10 = 130

Now, we want to add an eleventh number so that the mean will be 12.

Thus, n = 11

12 = (130 + x)/11

Cross multiply to get;

12 * 11 = 130 + x

x = 132 - 130

x = 2

Thus, the eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

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Related Questions

The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:

f(x) = 0.05x2 − 7x + 300

The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:


x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58


Based on the given information, determine which company has a lower minimum and find the minimum value.
f(x) at (1, 899.50)
g(x) at (70, 55)
f(x) at (70, 55)
g(x) at (1, 899.50)

Answers

9514 1404 933

Answer:

  (c)  f(x) at (70, 55)

Step-by-step explanation:

The point (70, 55) is not on g(x), which increases from a minimum of 899.5. Obviously, 55 is less than 899.5, so f(x) at (70, 55) has a lower minimum.

Answer:

f(x) at (70, 55)

Step-by-step explanation:

I got it right on the test

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

Step-by-step explanation:

Multiply (6+3i)(3+i)

Answers

Correct answer is B.

Francesca deposited $70 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have in 2 years? Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer $

Answers

Answer:  $84

Step-by-step explanation:

70x0.1=7x2=14+70=84

Which of the following is a true statement?
1/3 > 3/8
4/8< 8/24
4/8<9/16
4/16>3/8

Answers

We'll need to convert all the fractions to common denominators.

1/3 = 8/24

3/8= 9/24

4/8 = 12/24

8/24 stays the same.

4/8 = 8/16

9/16 stays the same.

4/16 stays the same.

3/8 = 6/16

Now we compare.

8/24 > 9/24 X

12/24 < 8/24 X

8/16 < 9/16 √

4/16 > 6/16

So the answer is C) 4/8<9/16

---

hope it helps

What is 1 1/4 + 3 3/8 = pls show your work

Answers

Answer:

Exact form: 37/8 Decimal form: 4.625 Mixed number form: 4 5/8

Step-by-step explanation:

dd the whole numbers first.

4+\frac{1}{4}+\frac{3}{8}

4+

4

1

+

8

3

2 Find the Least Common Denominator (LCD) of \frac{1}{4},\frac{3}{8}

4

1

,

8

3

. In other words, find the Least Common Multiple (LCM) of 4,84,8.

LCD = 88

3 Make the denominators the same as the LCD.

4+\frac{1\times 2}{4\times 2}+\frac{3}{8}

4+

4×2

1×2

+

8

3

4 Simplify. Denominators are now the same.

4+\frac{2}{8}+\frac{3}{8}

4+

8

2

+

8

3

5 Join the denominators.

4+\frac{2+3}{8}

4+

8

2+3

6 Simplify.

4\frac{5}{8}

4

8

5

if y + 3 = 14, what is the value of 3(y + 5)

Answers

Answer:

48

Step-by-step explanation:

y + 3 = 14

y = 11

3(y + 5) = 3(11 + 5) = 3(16) = 48

Answer: 48

PLZ HELP AND HURRY!!!!

Answers

Answer:

Complementary

Step-by-step explanation:

adding up to 90 degrees

What is the area of the following figure in square inches?

Answers

Answer, Alright the formula for a Rectangle is (A = bh) so ill do ( 13 x 8 ) = 104. Next ill do the triangle 19 - 13 is 6 which is the height of the triangle. The formula for a triangle is ( 1/2bh ) so lets do (6 x 8 ) which is 48 now lets divide it by 2...24.

24 + 104 = 128

Step-by-step explanation:

First, I split the Square from the Traingle

Second, I did base times height which equaled  (104)

Third, I found the area of the triangle by base times height divided by 2.(24)

Lastly, I added the figures up which equaled 128

A company sells meal kits. Suppose that 70% of the first-time customers who order a vegetarian meal will order
again, while 65% of the first-time customers who order a gluten-free meal will order again. The company takes
separate random samples of 50 first-time customers who order each kind of meal. The company will then look at
the difference (vegetarian – gluten free) between the proportions of customers who order again in each
sample.
What will be the shape of the sampling distribution of the difference in sample proportions, and why?

Answers

Answer: A

Approximately normal, because we expect 35 successes and 15 failures from vegetarian orders, and 32.5 and 17.5 from gluten-free orders, and all of these counts are at least 10

Step-by-step explanation: Khan Answer

For vegetarian orders 70% order again, so with a sample size of 50 we will have an estimated 35 people order again: [tex].7*50=35,50-35=15[/tex] This results in 35 successes and 15 failures. For gluten-free orders 65% order again, so with a sample size of 50 we will have an estimated 32.5 people order again:[tex].65*50=32.5,50-32.5=17.5[/tex] This results in 32.5 successes and 15 failures. Because these are all greater than 10, we can assume normality.

Answer:

Approximately normal, because we expect 35 successes and 15 failures from vegetarian orders, and 32.5 and 17.5 from gluten-free orders, and all of these counts are at least 10

Step-by-step explanation:

Help please question in the picture

Answers

Answer:

81 m²

Step-by-step explanation:

The area of the figure = area of the rectangle + area of the triangle

= Length*Width + ½*base*height

Length = 10 m

Width = 6 m

base = 6 m

height = 7 m

Thus:

Area = 10*6 + ½*6*7

Area = 60 + 21 = 81 m²

log (5x) (x)= 7/2


Answers

Answer:

[tex]x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}[/tex]

One angle of a right triangle measures 75º. What is the measure of the other acute angle?

Answers

15
All triangles have 180 degrees. A right angle has 90 degrees. 90+75=165 180-165=15

Please help! What is the volume of the cone?

Answer and explanation please! <3

Answers

Answer:  V≈804.25

Step-by-step explanation:

V=πr2h

3=π·82·12

3≈804.24772

The table shows a dog’s weight over a 5-year period. Which graph could represent this data?

Answers

Answer:

A

Step-by-step explanation:

Answer:

top left

Step-by-step explanation:

If the length of a diagonal of a square is 10 feet what is the length of a side of the square

Answers

the answer is 10ft hope I helped

What's the slop of the line with the two points 3,2 and 7,9

Answers

Answer and working out attached below. Hope this helps

Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes below.
a) n=14
b) n = 28
c) n = 45
a) The margin of error for a 90% confidence interval when n = 14 is
(Round to two decimal places as needed.)
b) The margin of error for a 90% confidence interval when n=28 is
(Round to two decimal places as needed.)
c) The margin of error for a 90% confidence interval when n = 45 is
(Round to two decimal places as needed.)

Answers

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

[tex]M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88[/tex]

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

[tex]M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02[/tex]

The margin of error for a 90% confidence interval when n = 45 is 10.02.

g Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two new random variables as Find cov(Z, W)

Answers

Answer: hello your question is incomplete below is the complete question

Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two new random variables as Z = 11 - X + X²Y, W = 3-Y. find cov ( Z, W )

answer : Cov ( Z, W ) = -1

Step-by-step explanation:

Z = 11 - X + X²Y

w = 3 - Y

Cov ( Z, W ) = Cov ( 11 - x + x^2 Y , 3 - Y )

  = Cov ( 11, 3 ) - Cov ( 11, Y ) - Cov(x,3) + cov (x,y) + cov(x^2y, 3) -cov (x^2y, y )

attached below is the remaining part of the detailed solution

hence

Cov ( Z, W ) = -1

Ill MARK brainiest
How many cubic blocks of side length 1/6
inch would it take to fill a
cube with a side length 2/6 of inch?

Answers

Answer:

8

Step-by-step explanation:

Which of the following expressions is/are equivalent to 16x + 8-2?
A. 22x
B. 24x2
C. 16x+ 6
D. 2(8x + 3)
E. 2(8x 8 - 2)
F. 4(4x + 2) - 2

Answers

B. 24x2 is the correct answer

A rectangle is 17 inches long and 7 inches wide find the area

Answers

17 x 7 = 119 inches squared

Answer:

119

Step-by-step explanation:

A=w 1=7x17=119

A badminton tournament begins with 512 teams. If a team loses once, it is eliminated from competition. After the first round, 256 teams remain. After the 4th round, how many teams remain? How many rounds will be required to determine the champion?

Answers

Answer:

This is GP with the first term of 512 and common ratio of 1/2

The formula for nth term is:

aₙ = 512*(1/2)ⁿ

The number of teams after the 4th round:

a₄ = 512*(1/2)⁴ = 32 teams

Number of rounds to determine the champion:

1 = 512*(1/2)ⁿ2⁰ = 2⁹*2⁻ⁿ0 = 9 - n n = 9 rounds

79%
3rd
Her monthly salary is twice the sum of her husband's salary and four. Her monthly
salary is also equal to four more than four times his salary. How much does the
husband make a month? Note the husband's monthly salary is in terms of thousand
dollars.

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

The two expressions for her salary can be equated:

  2h +4 = 4 +4h

  0 = 2h . . . . . . . . subtract 2h+4 from both sides

  h = 0 . . . the husband's salary is zero dollars per month

Answer:

$2000

Step-by-step explanation:

whats 1+1 because i think its 11

Answers

Answer:

2

Step-by-step explanation:

when i have one fruit and you have another fruit and we add them together they are gonna b two

Patel bought a model rocket kit from a catalog. The
price of the kit was $125. A $10 charge for shipping will
be added. Patel received an allowance of $20 per
week. How many weeks will it take him to purchase
the kit?

Answers

Answer:

7 weeks

Step-by-step explanation:

add 10 to 125 then divide by 20

Answer: he will need to save to 7 weeks

Step-by-step explanation:

125+10=135

he needs 135 to get the kit

y=20x

135=20x

6.75=x

he will need to save to 7 weeks

Question is attached. Thanks

Answers

Answer:

The third one

Step-by-step explanation:

The third one is the answer !

Plz help meeeeeeeeeeeeeeeeeeeeeeeeee look at the picture.

Answers

Answer:

4 for every dozen sold

Step-by-step explanation:

when the number of eggs sold is the dot at 12 on the x-axis, it is at 4 on the y-axis

Write the equation of the following circle in general form and standard form. Show your work.

Answers

Answer:

I’m coming back to this hold on a sec brotha and be patient

Step-by-step explanation:

40 points help me please

Answers

Answer:

x=60

Step-by-step explanation:

(1/6)(x+6)=11

Multiply both sides by six:

(6)(1/6)(x+6)=11(6)

x+6=66

Take six from both sides:

x+6-6=66-6

x=60

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