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
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
Related Questions
When converted to a household measurement, 9 kilograms is approximately equal to a
Answers
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
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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.
It might be wrong but there you go.
Make as brainiest
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!
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
Sorry its blurry but please hurry!!!!!!! Answer 9 and 10 please!!!!
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Answer:
9. 31/2 or 15.5( I think that's the answer)
10. B
Step-by-step explanation:
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?
Also, I hope this helped!
a. Exactly 117.125 b. Correct to 2 significant figures c. Correct to 2 decimal places d. In standard form
Answers
Answer:
b) 11
c)117.12
1.1×10^2
Those are my answer that try
help me for brainliest
Answers
0.2 recurring
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
Answers
Answer:
(2/4) and (5,1) negative slope
(-7,8)and(-7,0) undefined slope
(3,5) and (-1,2) positive slope
(6,-3) and (-4,-3) zero slope
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
Help me please please please!!!!!!!!!
Answers
Answer:
1 1/5
Step-by-step explanation:
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
Simplify the fraction
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
Select the correct answer.
24c^6 - 32c^4
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]
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!!!!
Answers
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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look at the image of the graph
Please quickly answer will mark brainliest (100 points) also say answer in text
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Step-by-step explanation:
square root of 196 is 14
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square root of 144 is 12
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STATE THE MODULES THAT ARE INCLUDED WHEN LEARNING CALCULUS I.
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Answer:
Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. The chain rule is a formula for the derivative of the composition of two functions in terms of their derivatives.
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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
Solve for X
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∠DCGFind 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°Please include step by step instruction, so I can learn how to solve the problem. Thank you
Answers
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.
Considering the above, any expression involving √5 will have an irrational result. That means you can eliminate choices B and D.
choices A and C will result in a rational number
_____
Additional comment
A = 6.8 +0.75 = 7.55 (rational)
C = 6.8 × 0.75 = 5.100 (rational)
pls help me i need to finish this
Answers
Answer:
-1 = -2
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1 = 2
2 = 4
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.
-kiniwih426
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
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Use complete sentences to describe how you can algebraically determine where the solution region is for a quadratic inequality once the
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Answer:
hwiwj8eie9eiejnebwnw
A car dealer will sell you a used car for $6,898 with $798 down and payments of $169.51 per month for 48 months. What is
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%
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Answer:
d
Step-by-step explanalime boba no other
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 = 289/400πFind 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 = 169/400πSubtract the two area:
289/400π - 169/400π = 120/400π = 3/10π or 0.942477.. ≈ 0.9m²
HELLPPPPPPPPPPPPPPPP
Answers
9514 1404 393
Answer:
3.46 pounds6.92 pounds13.84 poundsStep-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
_____
You can also fill in the table by recognizing that $5 is one tenth of $50, so the number of pounds will be one tenth of 34.60 = 3.46. Then each of the following rows doubles the amount on the previous row.
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
Answers
Step-by-step explanation:
AD=AE
BD=EC
D=E
....ABD=ACE
Bro this my 10th time asking this pls. Someone help me giving brainlist :(
Answers
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
e = 50
Hence based on Janice average, she spent $50 at the last store.
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Solve for y.
y-x= 11
x= 12
y=
Answers
Answer:
y=23
Step-by-step explanation:
y-x=11
x=12
y=x+11
y=12+11
y=23