Suppose Metro by T-Mobile wants to offer a simple extended warranty plan. If your phone is damaged, they will repair it for up to $50. If you lose or destroy your phone, they will give you a $200 voucher towards a new phone. The company believes that 5% of customers will need the replacement voucher and 10% will request a repair. What is the standard deviation?

Answers

Answer 1

Answer:

45

Step-by-step explanation:

Given that :

Voucher awarded (x) :

Repair = $50

Lose or destroy = $200

P(x):

Replacement voucher = 5%

Repair voucher = 10%

X ______ 50 ______ 200

P(x) ____ 0.1 _______ 0.05

Expected variance Var(X) :

ΣX²p(x) - E(x) ;

E(x) = Σx*p(x) = (50*0.1) + (200*0.05) = 15

ΣX²p(x) = Σ[(50^2 * 0. 1) + (200^2 * 0.05)] = 250 + 2000 = 2250

Var(X) = 2250 - 15^2 = 2025

Standard deviation = √Var(x)

Standard deviation = √2025

Standard deviation = $45


Related Questions

PLEASE ANSWER ASAAP TODAY WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
This graph shows the temperature on a winter night over time.



How many °F does the temperature decrease by every 1 hr?



Enter your answer in the box.


____ °F

Answers

the temperature decreases 5°F every hour
The temperature decreases 5 degrees every hour.

If 2 is divided into pieces that are each 1/7 of a whole, how many pieces are there?

Answers

Answer:

There are 14 pieces in 2 wholes.

Step-by-step explanation:

In order to solve this question we need to understand that "a whole" is another way of saying 1. So then this question askes the following, "How much does  [tex]\frac{1}{7}[/tex] fit into 2. In order to find that out we just have to divide 2 by [tex]\frac{1}{7}[/tex] and so we get.....

2 /  [tex]\frac{1}{7}[/tex] = 14

Multiply. What is the value of the second partial product?

26 × 107

Answers

Answer:

Below

Step-by-step explanation:

(20*100)+(20*7)+(100*6)+(7*6)

Solve the system if equations by substitution
Y=4x+9
y=9x+10

Answers

here is the work! hope it helps

0.56 divided by 9. I'm just wondering so I can answer my sister

Answers

Answer:

0.062 or in fraction form 14/225

Step-by-step explanation:

Answer:

0.062222222

Step-by-step explanation:

Cut out the shapes of NETS of Cube, Cuboid and Cylinder as per the dimensions given below and find its Total Surface Area and Lateral Surface Area Dimensions of Cube = 5cm x 5cm x 5cm Dimensions of Cuboid = Length=10cm, Breadth=5cm, Height = 4cm Dimensions of Cylinder= Diameter 7cm and height 10cm

Answers

Answer:

a. i. 150 cm³ ii. 150 cm³

b. i. 220 cm³ ii. 120 cm³

c. i. 297 cm² ii. 220 cm²

Step-by-step explanation:

a. For the cube

Dimensions of Cube = 5cm x 5cm x 5cm

Length of side = 5 cm

i. Total surface area A = 6L² where L = length of side = 5 cm

So, A = 6 × (5 cm)²

= 6 × 25 cm³

= 150 cm³

ii. Lateral surface area A' = 4L²

= 4 × (5cm)²

= 4 × 25 cm²

= 100 cm²

b. For the cuboid

Dimensions of Cuboid = Length, l = 10cm, Breadth, b = 5cm, Height, h = 4cm

i. Total surface area A = 2(lb + lh + hb)

= 2(10 cm × 5 cm + 10 cm × 4 cm + 4 cm × 5 cm)

= 2(50 cm² + 40 cm² + 20 cm²)

= 2(110 cm²)

= 220 cm²

ii. Lateral surface area A' = 2(lh + hb)

= 2h(l + b)

= 2 × 4 cm (10 cm + 5 cm)

= 8 cm × 15 cm

= 120 cm²

c. For the cylinder

Dimensions of Cylinder = Diameter, d = 7cm and height, h = 10cm

i. Total surface area, A = 2πr(r + h) where r = radius = d/2

A = πd(d/2 + h)

= 22/7 × 7 cm(7 cm/2 + 10 cm)  

= 22cm(3.5 cm + 10 cm)

= 22cm(13.5 cm)

=  297 cm²

ii. Lateral surface area A = 2πrh

= πdh

= 22/7 × 7 cm × 10 cm

= 22 cm × 10 cm

= 220 cm²

At the book store, you purchased some $3 clearance mystery books and $8
regular-priced science fiction books. How many of each did you buy if you spent a
total of $77?

Answers

Answer:

15 of $3 books and 4 of the $8 books

Step-by-step explanation:

15×3= 45

8 × 4= 34

45+32= 77

Write the slope-intercept form of the equation of the line through (-2, 4) with a slope of -4
y = -4x + 4
y = 4x - 4
y = -4x - 4
y = 3x - 4

Answers

The answer is y= -4x+4

What is the equation of the line that passes through the point (-8,−7) and has a slope of 11?

Answers

Answer:

-7=11*-8+b

-7=-88+b

+88 both sides

81=b

y=11x+81

Just need some help

Answers

Step-by-step explanation:

D

a triangle is 180°

180-126= 54

Now you have:

56+54+X=180

110+X=180

-110 -110

X=70

Answer:

70 wanna know why add the sides then divide

Step-by-step explanation:

PLEASE HELP ASAP. WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!
Point B is halfway between A and C. The distance from C to D is the same as the distance from D to E, which is the same as the distance from E to F. The area of triangle ACF is 180 cm2. How many square centimeters is the shaded area of triangle BCE?

Answers

Answer:

the area of a regular hexagon is A=(3√3/2)a², a is the side length.

so A=(3√3/2)*5.2²=70.25

C is the correct answer

Step-by-step explanation: Hope this helps:)

Answer:

3

Step-by-step explanation: Hope this help u

I need help ASAP!!
Thanks

Answers

Answer:

-|x+2|+2

Step-by-step explanation:

What is the product of 5 and 2/3

Answers

The product of 5 and 2/3 is 5.6666

Answer:3 1/3

Step-by-step explanation:5/1 x 2/3=10/3=3 1/3

In the point (3, 4), which value represents the y-coordinate? *
3

Answers

Answer:

4

Step-by-step explanation:

(x,y)

Answer:

4 :)

Step-by-step explanation:

(x,y) so (3,4) would make 4 the y



Darwin's coach recorded that he had bowled 250 points out of 300 in a bowling tournament. However, the official
scoreboard showed that Darwin actually bowled 225 points out of 300

Answers

Is there more to that question?

A student has a container with a volume of 0.5 liter.She estimates the volume to be 0.4 liter. By what percent is the​ student's estimate​ off?

Answers

Answer:

20%

hope it helps!

please mark me brainliest

Merry Christmas

Good day

will mark brainliest​

Answers

Answer:

3rd answer

Step-by-step explanation:

i think

Round 431,857 to the nearest ten thousand

Answers

Answer:

i don' think you can

Step-by-step explanation:

There are 8 rows and 8 columns, or 64 squares
on a chessboard. Suppose you place 1 penny on
Row 1 Column A, 2 pennies on Row 1 Column
B, 4 pennies on Row 1 Column C, and so on ...

Answers

Complete Question:

There are 8 rows and 8 columns, or 64 squares on a chessboard.

Suppose you place 1 penny on Row 1 Column A,

2 pennies on Row 1 Column B,

4 pennies on Row 1 Column C, and so on …

Determine the number of pennies in Row 1

Determine the number of pennies on the entire chessboard?

Answer:

255 in the first row

18,446,744,073,709,551,615 in the entire board

Step-by-step explanation:

Given

[tex]Rows = 8[/tex]

[tex]Columns = 8[/tex]

Solving (a): Number of pennies in first row

The question is an illustration of geometric sequence which follows

[tex]1,2,4....[/tex]

Where

[tex]a =1[/tex] --- The first term

Calculate the common ratio, r

[tex]r = \frac{T_2}{T_1} = \frac{4}{2} = 2[/tex]

The number of pennies in the first row will be calculated using sum of n terms of a GP.

[tex]S_n = \frac{a(r^n - 1)}{n - 1}[/tex]

Since, the first row has 8 columns, then

[tex]n = 8[/tex]

Substitute 8 for n, 2 for r and 1 for a in [tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

[tex]S_8 = \frac{1 * (2^8 - 1)}{2 - 1}[/tex]

[tex]S_8 = \frac{1 * (256 - 1)}{1}[/tex]

[tex]S_8 = \frac{1 * 255}{1}[/tex]

[tex]S_8 = 255[/tex]

Solving (b): The entire board has 64 cells.

So:

[tex]n = 64[/tex]

Substitute 64 for n, 2 for r and 1 for a in [tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

[tex]S_{64} = \frac{1 * (2^{64} - 1)}{2 -1}[/tex]

[tex]S_{64} = \frac{(2^{64} - 1)}{1}[/tex]

[tex]S_{64} = \frac{(18,446,744,073,709,551,616 - 1)}{1}[/tex]

[tex]S_{64} = \frac{18,446,744,073,709,551,615}{1}[/tex]

[tex]S_{64} = 18,446,744,073,709,551,615[/tex]

Will give brain list!!! I need helppp! And show workk

Answers

Answer:

Dude! Stop telling people to do your work on DeltaMath

Step-by-step explanation:

The machine can produce 168 leaflets in 8 minutes. How many can it produce in an hour

Answers

Answer:

1260

Step-by-step explanation:

168 ÷ 8= 21

21 x 60 = 1260

Have a good day can I get a brainiest if right please? :3 Byeee!

What is the percent of change if 18 is increased to 45? Round your answer to the
nearest percent.
THE PERCENT OF CHANGE IS
% INCREASE

Answers

Answer:

150%

Step-by-step explanation:

% change = change/original x 100

45-18 = 27

27/18 x 100 = 150

The percent of change if 18 is increased to 45, to the nearest percent, is calculated as: 150%.

How to Calculate the Percent of Change?

To calculate the percent of change when 18 is increased to 45, we can use the formula:

Percent of change = ((New value - Initial value) / Initial value) * 100

Let's plug in the values and calculate the percent of change:

Percent of change = ((45 - 18) / 18) * 100

Percent of change = (27 / 18) * 100

Percent of change = 1.5 * 100

Percent of change = 150

Therefore, the percent of change is 150%, indicating a 150% increase.

Learn more about Percent of Change on:

https://brainly.com/question/30687529

#SPJ6

Please asap maths homework

Answers

Answer:

77 red marbles

Step-by-step explanation:

the bag has R and B marbles

P(B)=1/12 = number of blue /total number of marbles

so 1/12=?/84

in the bag must be 84/12=7 marbles that are blue

84-7=77 red marbles

List three different combinations of coins, each with a value of 30% of a dollar.

Answers

- 3 dimes
- 1 quarter & 1 nickel
- 6 nickels

Plsssssssssssssssssssssssssssssssssssss

Answers

Answer:

(-4, 3) 2nd quadrant.

Step-by-step explanation:

What the question¿?¿

heres another one.
for brainliest

Answers

Answer:

Max made a mistake in step 5.

He should have used division instead of multiplication.

Step-by-step explanation:

In step #5, he made the mistake of multiply 5/6 by 5/6. The reason why this doesn't work is because y is not a full y. When there isn't a number beside a variable, it is implied that it is 1y. To solve for y, you need 1y or else results or inaccurate.

In reality, 5/6 * 5/6 is equal to 25/36. If you divided 5/6 by 5/6, it is equal to 1, which makes y a full y.

Answer:

he made a lot of mistakes, but i'd say he used division instead of multiplication in step 5

(but the biggest mistake was adding 1/6 to both sides instead of multiplying by it)

Step-by-step explanation:

Square P and Square Q are similar squares. The ratio of the side length of Square P to the side length of Square Q is 2:7. if the side length of Square P is 3.5 inches, what is the perimeter of Square Q?

Answers

Answer:

3.5 sq

Step-by-step explanation:

Answer:

49 inches

Step-by-step explanation:

Perimeter of square Q is 49 inches.

Let x be the length of side of square P and y be that of square Q.

It is given in the question that :

x\y = 2\7

Also it is given that x=3.5 inches. Hence

3.5/y = 2/7

∴ y=12.25 inches.

Perimeter of square Q is 4y = 4 × 12.25 = 49 inches

find the measure of each angle acute angle in a right triangle where the measure of one acute angle is twice the difference of the measure of the other acute angle and 12​

Answers

Answer:

The measures of the acute angles are 38 and 52 degrees.

Step-by-step explanation:

In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles [tex]a[/tex] and [tex]b[/tex].

[tex]a + b +90 = 180[/tex]

The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:

[tex]a = 2(b-12)[/tex]

Now we have two equations. If we simplify them, we get these:

[tex]\left \{ {{a=90-b} \atop {a=2b-24}} \right.[/tex]

Now you can substitute [tex]a[/tex] in the first equation for [tex]a[/tex] in the second equation

[tex]90-b=2b-24[/tex]

Add [tex]b[/tex] to both sides of the equation

[tex]90 = 3b-24[/tex]

Add [tex]24[/tex] to both sides

[tex]114 = 3b[/tex]

Divide both sides by 3

[tex]38 = b[/tex]

Now, you can substitute [tex]38[/tex] for [tex]b[/tex] in the first equation and simplify.

[tex]a = 90-38[/tex]

[tex]a=52[/tex]

Therefore,

[tex]a=52[/tex], and [tex]b=38[/tex]

Don't forget to like and make it the brainliest!

The value of the angles are 38° and 52° respectively

Let the acute angles be represented by a and b.

Based in the information given,

a = 2(b - 12)

a = 2b - 24.

Note that the angle in an acute angle equals to 90°.

Therefore,

a = 90 - b.

a = 2b - 24

Equate the equations together

90 - b = 2b - 24

2b + b = 90 + 24

3b = 114

b = 114/3

b = 38

Therefore, a will be:

= 90° - 38° = 52°

The value of the angles are 38° and 52° respectively.

Read related link on:

https://brainly.com/question/6244196

What is the common difference of the arithmetic sequence? 2,5,8,11,14...

Answers

The common difference is 3.

14-11=3

11-8=3

8-5=3

5-2=3

You can see here that the difference between two consecutive numbers in this sequence are all 3.

i’m gonna say the common difference is 3...
difference = 3
i hope that’s correct!!!

-7 ≤ x+2 / 4
solve pleeeeeeeeeeeeeeaaaaaaaaaaaaaaseeeeeeeeeeeeeeeeeeee

Answers

Answer:

x ≥ 15/2 im pretty sure

Step-by-step explanation:

reduce the fraction: -7 ≤ x + 1/2. move the terms: -x ≤ 1/2 + 7 calculate the sum: -x ≤ 1/2 + 7 = -x ≤ 15/2 and change the signs: x ≥- 15/2.

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