Find the measure of the angle indicated in bold.
Answer Choices:
84o

125o

60o

100o

Answer:

The mean of C is 170 households

The standard deviation of C, is approximately 5 households

Step-by-step explanation:

The given parameters are;

The percentage of households in the United States that had a computer in 2014 = 85%

The size of the randomly selected sample in 2014, n = 200

The random variable representing the number of households that had a computer = C

Therefore, we have;

The probability of a household having a computer P = 85/100 = 0.85

Let

Therefore;

The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;

μₓ = 200 × 0.85 = 170

The mean of C = μₓ = 170

The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5

Therefore;

The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05

The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)

The mean and the standard deviation of C are 170 and 5.05 respectively

The given parameters are:

[tex]\mathbf{n = 200}[/tex] -- the sample size

[tex]\mathbf{p = 85\%}[/tex] -- the proportion of household that had a computer

(a) The mean

This is calculated as:

[tex]\mathbf{\bar x = np}[/tex]

So, we have:

[tex]\mathbf{\bar x = 200 \times 85\%}[/tex]

[tex]\mathbf{\bar x = 170}[/tex]

(b) The standard deviation

This is calculated as:

[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]

So, we have:

[tex]\mathbf{\sigma = \sqrt{170 \times (1 - 85\%)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{170 \times 15\%}}[/tex]

[tex]\mathbf{\sigma = \sqrt{25.5}}[/tex]

Take square roots

[tex]\mathbf{\sigma = 5.05}[/tex]

Hence, the mean and the standard deviation of C are 170 and 5.05 respectively

Read more about mean and standard deviation at:

https://brainly.com/question/10729938

Answer:

Step-by-step explanation:

step 1. 4y+9x=18

step 2. 4y=-9x+18

step 3. idk

Answer:

(2,0)

plug 0 for y and solve

Answer:

[tex]\:x=55^{\circ \:\:}[/tex]

Therefore, option 'b' is correct.

Step-by-step explanation:

Let x be the angle

determining the [tex]\tan ^{-1}\left(1.4281\:\right)[/tex]

[tex]\:\tan \:x\:=1.4281\:[/tex]

[tex]x=\tan ^{-1}\left(1.4281\:\right)[/tex]

[tex]\:x=55^{\circ \:\:}[/tex]

Therefore, option 'b' is correct.

Answer:

Step-by-step explanation:

We are given the sequence

[tex]15, 29, 49, 75, 107\\15->29 = 14\\29 -> 49 = 20\\49->75 = 26\\75 -> 107 = 32\\14, 20, 26, 32\\14 -> 20= 6\\20 -> 26 = 6\\26 -> 32 = 6\\\\6, 6, 6\\6->6 = 0[/tex]

Since we had to find the differences twice, it is a second degree polynomial

[tex]y = an^2 + bn + c\\plugging \: in \: n = 1, 2, 3...\\the \: sequence \: is \\a+b+c, 4a + 2b + c, 9a + 3b + c...\\the \: diff \: under \: is \\3a + b, 5a + b, 7a + b...\\the \: diff \: under \: is \\2a, 2a, 2a...\\so, \\2a = 6\\a = 3\\3(3) + b = 14\\b = 5\\\\a +b + c = 15\\3 + 5 + c = 15\\c = 7\\[/tex]

so,

[tex]y = 3n^2 + 5n + 7[/tex]

Answer:

hope this is not to hard to understand

Answer: Thanks for the points

Step-by-step explanation:

Answer: 0.5

Step-by-step explanation:

Answer:

4.36

8.23

Step-by-step explanation:

Answer:

4.36

Step-by-step explanation:

Answer:

A-9(1=6)

Step-by-step explanation:

Correct on edg

Answer:

Step-by-step explanation:

Equations

Subtract the second equation from the first one side-by-side:

The answer is 2

Answer:

60 pounds

Step-by-step explanation:

The ratio of Jamie to Rhys is 2 to 3.

Jamie gets 40 pounds.

40 pounds is 20 times 2, so Rhys also has to get 20 times the amount in the ratio.

20 * 3 = 60

Answer: 60 pounds

Answer:

-19=-2/3x

3*-19=-2x

-57=-2x

-57/-2=x

57/2=x

x=28.5

Step-by-step explanation:

Answer:

x = [tex]\frac{57}{2}[/tex]

Step-by-step explanation:

Given

- 19 = - [tex]\frac{2}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

- 57 = - 2x ( divide both sides by - 2 )

[tex]\frac{-57}{-2}[/tex] = x , that is

x = [tex]\frac{57}{2}[/tex]

add them all up or Mutiply and Divide all together I think

Answer:

-25

Given:

x=7

Step-by-step explanation:

3+6x-12x+14

⇒ 3 + 6(7) - 12(7) + 14

⇒ 3 + 42 - 84 + 14

⇒ 45 - 84 + 14

⇒ -39 + 14

⇒ -25

hope you understood!

Answer:

D

Step-by-step explanation:

We have the equation:

[tex]x+9=4(x-1)^2[/tex]

To convert this to standard form, we can simply expand.

First, expand the right-hand side:

[tex]x+9=4(x^2-2x+1)[/tex]

Distribute the right:

[tex]x+9=4x^2-8x+4[/tex]

Subtract 9 from both sides:

[tex]x=4x^2-8x-5[/tex]

Finally, subtract an x from both sides:

[tex]0=4x^2-9x-5[/tex]

Flip:

[tex]4x^2-9x-5=0[/tex]

Hence, our answer is D.

Answer:

23) 53/100

24)2/5

25)3/5

26)11/50

27)17/50

28)19/1000

29)4/5

30)1/250

31)9/25

32)1 3/10

33)11 1/2

34) 7 3/40

Step-by-step explanation: Hope this helps!

Answer:

Answer is at the bottom!

Step-by-step explanation:

Cherry juice=5+5+5+5+5+5=30

Lime juice =3+3=6

6 cherry slushes and 2 lime slushes were sold.

Hope this helps!!

Answer:

6 cherry slushes and 2 lime

Step-by-step explanation:

Answer:

1092 is divisible into 1, 7, or 1092.

Step-by-step explanation:

Step-by-step explanation:

1092 / 1 = 1092

1092 / 2 = 546

1092 / 3 = 364

1092 / 4 = 273

1092 / 6 = 182

1092 / 7 = 156

1092 / 12 = 91

1092 / 13 = 84

1092 / 14 = 78

1092 / 21 = 52

1092 / 26 = 42

1092 / 28 = 39

1092 / 39 = 28

1092 / 42 = 26

1092 / 52 = 21

1092 / 78 = 14

1092 / 84 = 13

1092 / 91 = 12

1092 / 156 = 7

1092 / 182 = 6

1092 / 273 = 4

1092 / 364 = 3

1092 / 546 = 2

1092 / 1092 = 1

Answer:

52

Step-by-step explanation:

I take it that x is somewhere near the end of the diagonal line, so you want to know the value of 3x + 1???

We know that (3x + 1) + (2x + 4) = 90 degrees. That's because AEF = 90 degrees.

So begin by removing the brackets.

3x + 1 + 2x + 4 = 90                 Combine the like terms.

5x + 5 =90                               Subtract 5 from both sides.

5x + 5 - 5 = 90 - 5                   Combine  

5x = 85                                    Divide by 5

x = 17

3x + 1  = 3*17 + 1 = 51 + 1 = 52

Answer:

88

Step-by-step explanation:

Every triangle has a measure of 180, so if we know two of the angles we can find the last one easily. To find angle 1, we first must find angle 2. 2 must be equal to 42 because it is vertical to the other angle that is equal to 42 degrees. Then to find angle 1 do the operation 180-(50+42). This equals 88, which is the measure of angle 1.

Answer:

x = −2 or x = 10

Step-by-step explanation:

for the explanation see the image

Answer:

10111

Step-by-step explanation:

Answer:

♡ hi again, queen! ♡

- It's 10111.

have a great day!

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Step-by-step explanation:

Answer:

The original price of her purchase was $65.

Step-by-step explanation:

From the information given, you know that $13 represents 20% of the original price and you can use a rule of three to find the value that represents 100%, which would be the original pice of her purchase:

$13 →  20%

 x   ← 100%

x=(13*100)/20

x=1300/20

x=65

According to this, the answer is that the original price of her purchase was $65.

3 inches i agree too 2020

Answer:

mixed number 1 7/8 or decimal form 1.875

Answer:

it cant be simplified but it can be converted into a mixed number. which is

1 7/8. hope this helps <3

Step-by-step explanation:

Answer:

Plz I don't understand everything

Answer:

c

Step-by-step explanation:

Answer:

107.76

Step-by-step explanation:

We are told in the above question that:

He flew 3,610 miles in 33.5 hours. If he flew about the same number of miles each hour, how many miles did he fly each hour?

We solve the above question by:

33.5 hours = 3610 miles

1 hour = x miles

Cross Multiply

33.5 hours × x miles = 3610 miles × 1 hour

x miles = 3610 miles × 1 hour/33.5 hours

x miles = 107.76119403 miles

Approximately = 107.76 miles per hour

Therefore, he flew 107.76 miles each hour

Answer:

107

Step-by-step explanation:

The two angles would make a linear pair, which means they're supplementary to each other. Supplementary angles add up to 180.

This allows us to do 180 - 73 = 107

x would be 107.

Answer:

0

Step-by-step explanation:

m= y2-y1/x2-x1

=0-0/-3-5

=0/-8

=0

Answer:

Slope = 0

Step-by-step explanation: