The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. Find the probability that a CD player will last between 2.8 and seven years. (a) Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.) P < x < =

Answers

Answer 1

Using the normal distribution, we have that:

a) The sketch of the situation is given at the end of this answer.

b) The probability is:

[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

Mean of 4.1 years, thus [tex]\mu = 4.1[/tex].Standard deviation of 1.3 years, thus [tex]\sigma = 1.3[/tex].

Item a:

The part between 2.8 and 7 years is shaded on the sketch given at the end of this answer.

Item b:

The probability is the p-value of Z when X = 7 subtracted by the p-value of Z when X = 2.8, thus:

X = 7:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7 - 4.1}{1.3}[/tex]

[tex]Z = 2.23[/tex]

[tex]Z = 2.23[/tex] has a p-value of 0.9871.

X = 2.8:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.8 - 4.1}{1.3}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.9871 - 0.1587 = 0.8284, thus:

[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]

A similar problem is given at https://brainly.com/question/25151638

The Life Of Sunshine CD Players Is Normally Distributed With A Mean Of 4.1 Years And A Standard Deviation

Related Questions

Solve for c.

-2.2 - 0.1c = -1.9

Answer: c = _____

Answers

Answer:

c = -3

Step-by-step explanation:

-2.2 - 0.1c = -1.9

-0.1c = 0.3

c = -3

Hopefully this helps!

Brainliest please?

Principal: 300
Annual Rate: 3%
Time: 4 Years
Interest Earned: ?????
New Balance: ?????

!!!!!SOMEONE PLEASE HELP ME FIGURE OUT INTEREST EARNED AND NEW BALANCE!!!!

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Answer:

Step-by-step explanation:

HI there!

From the question;

Principal (p) = 300

Annual rate (r) = 3%

Time (t) = 4 yrs

Now;

Interest (I) = [tex]\frac{p*t*r}{100}[/tex]

             I = [tex]\frac{300*4*3}{100}[/tex]

             I = [tex]\frac{3600}{100}[/tex]

Therefore the interest earned is 36.

Again;

New balance (A) = principal + interest

                            = 300+36

Therefore, the new balance is 336.

Hope it helps!

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Answer:

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hwiwj8eie9eiejnebwnw

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look at the image of the graph

Above answer is right.

Select the correct answer.
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Which expression is equivalent to
8c^3 ? Assume that the denominator does not equal zero.

Answers

Answer:

B: [tex]c(3c^2-4)[/tex]

Step-by-step explanation:

1. Substitute [tex]1[/tex] for c: [tex](24^6-32^4)/(8^3)[/tex]

2. Solve substitution: [tex]-1[/tex]

3. Compare [tex]-1[/tex] to calculated answers when [tex]c=1[/tex]

4. [tex]c(3c^2-4)[/tex] when [tex]c=1[/tex] is [tex]-1[/tex]

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Answers

Answer:

1 1/5

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3/10 + 9/10

The denominator is the same so we can add the numerators

12/10

Rewriting

10/10 + 2/10

1 2/10

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1 1/5

Answer:

1.2 would be the decimal form to answer and in the fraction form it would be

6/5 or in a mixed number fraction 1 1/5

So 1 1/5 is your answer

Please mark me as branliest

solve pls brainliest

Answers

Answer:

1(5/8)

step-by-step:

divide the numerator (top number) by the denominator (bottom number)

write whole number off to the left and put the remainder over the denominator to the right

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Answer:

though the answers given don't make sense. the best given answer is A. angle 3 should be 113 instead of 103

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Answer:

9. 31/2 or 15.5( I think that's the answer)

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Step-by-step explanation:

Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use to find x, the number of gallons of water he should add?
[tex]1.( \frac{0.8}{8 + x} )( \frac{5}{100} = 1 \\ 2. \frac{0.8}{8 + x} = \frac{5}{100} \\ 3. \frac{0.8}{8 + x} = \frac{100}{5} \\ 4. \frac{0.8}{8 + x} \div \frac{5}{100} = 1[/tex]

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Answer:

2) 0.8/8+x=5/100

Step-by-step explanation:

Answer:

letter B is the correct answer!

a. Exactly 117.125 b. Correct to 2 significant figures c. Correct to 2 decimal places d. In standard form ​

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Answer:

b) 11

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1.1×10^2

Those are my answer that try

ANSWER FAST PLEASE identifying difrent slopes consider the line that passes through each pair of given points and decide what type of slope the line was

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Answer:

(2/4) and (5,1) negative slope

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Step-by-step explanation:

took the assignment a while back <3 not sure if those are the ones that were provided in ur edge tho because there was no picture provided on this question

In a figure, D and E are points on side BC of a△ ABC such that BD = CE and AD = AE. Show that △ABD ≅ △ACE ​

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Step-by-step explanation:

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Please include step by step instruction, so I can learn how to solve the problem. Thank you

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9514 1404 393

Answer:

  A, C

Step-by-step explanation:

First of all, recognize that any basic arithmetic operation between a rational number and an irrational number will have an irrational result. That means, you can eliminate any answer choices that involve an irrational number.

Fractions and mixed numbers involving integers are always rational, so you only need to look at the radicals. You know 9 is 3×3, so is a perfect square, and √9 = 3 is rational. You know 5 is not a perfect square, so √5 is irrational.

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_____

Additional comment

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Answers

Step-by-step explanation:

square root of 196 is 14

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Answers

9514 1404 393

Answer:

3.46 pounds6.92 pounds13.84 pounds

Step-by-step explanation:

The most accurate ratio of pounds to dollars will be found using the given numbers that have the most significant figures. Those are found on the last row of the table:

  pounds/dollar = 34.60/50 = 0.692

To find the other table values, multiply the dollar amounts by this constant of proportionality. The problem statement tells you to round the result to hundredths.

  $5 ⇒ 5.00 × 0.692 = 3.46 pounds

   $10 ⇒ 10.00 × 0.692 = 6.92 pounds

  $20 ⇒ 20.00 × 0.692 = 13.84 pounds

_____

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Janice Went to five different stores in the mall, she spent an average of $30 at each store. After visiting just the first four stores she had spent $100, how much was she have spent at the last store based on her overall average?

A.$25
B.$30
C.$50
D.$70

Answers

Based on Janice average, she spent $50 at the last store.

Let a, b, c, d, e represent the money spent on the five stores respectively.

Since she spent an average of $30 at each store, hence:

(a + b + c + d + e) / 5 = 30

(a + b + c + d + e) = 150

She spent $100 on the first four stores, hence:

a + b + c + d = 100

(a + b + c + d + e) = 150

100 + e = 150

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Answer:

-1 = -2

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Step-by-step explanation:

-1 x 2 = -2

0 x 2 = 0

1 x 2 = 2

2 x 2 = 4

Since the equation says y = 2x, you must multiply every x factor by 2 to get your answer.

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Answer:

perimeter: 20.1

area: 22.1

Step-by-step explanation:

Answer:

The formula to find the are of a parallelogram is = base x height

so the base is 3 1/4 x the height is 6. so now it will be

3 1/4 x 6

you now multiply it to get the area.

So the area I am getting for this is 16 1/2 cm2.

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Make as brainiest

What do you add to 3 7/8 to make 5

Answers

Step-by-step explanation:

we will add 3+37=40

40/8=5

mark me brainlist plz

Answer:

You have to add a certain amount of a number to 3 7/8 to make five. Or the easy way, 5 - 3 7/8 = 1 1/8

Step-by-step explanation:

If you want can you make me brainlyist?

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When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

Abt 317.4 oz or 19.4 lb

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

4
Calculate the area of the shaded region. Round to the nearest tenth, as needed.
59
1.3 m 1.7 m

Answers

Answer:

0.9m²

Step-by-step explanation:

Find the area of the larger circle, the radius is 0.85m because the diameter is double this - 1.7m:

a = πr² = π × (0.85)² = 289/400π

Find the area of the smaller circle, the radius is 0.65 because the diameter is double this - 1.3m:

a = πr² = π × (0.65)² = 169/400π

Subtract the two area:

289/400π - 169/400π = 120/400π = 3/10π or 0.942477.. ≈ 0.9m²

help with 5a, to find the values of x​

Answers

not sure what it is but i love ur handwriting- u got this though

30 POINTS easy question
Find the measure of the exterior angle




The measure of the exterior angle of the triangle is
angle of the triangle is
º.

Answers

Answer:

9

Step-by-step explanation:

The exterior angle is equal to the sum of the 2 opposite interior angles, therefore:

9x + 9 = 45 × 5x

4x = 36

x = 9

9


9x +9 = 45+5x
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y=

Answers

Answer:

y=23

Step-by-step explanation:

y-x=11

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y=12+11

y=23

help me for brainliest

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it’s A

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Marking you the brainliest​ provided you got it right and with step by step explanation

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Answer:

260°

Step-by-step explanation:

We need to find the value of angle x:

x = m∠BCG + m∠DCG

Find the angles BCG and DCG, considering BA, CG and DE are parallel lines:

m∠DCG = 180° - m∠CDE = 180° - (360° - 312°) = 132°m∠BCG = 180° - m∠ABC = 180° - 52° = 128°

Find x:

x = 132° + 128°x = 260°
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