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]
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Related Questions
What is the distance from the point (-6, 2) to the point (2, 17)
19.21 units
15.13 units
17.00 units
19.10 units
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Answer:
17
Step-by-step explanation:
sqrt((2-(-6))^2+(17-2)^2)
NO LINKS!!! Part 2:
[tex]y = \sqrt{x} [/tex]
Shape:
Domain:
Range:
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Given:
A square toot function y = √x--------------------------------------------------------------------
Shape: half of a parabola
Domain: Non- negative numbers x∈ [0, +∞)
Range: Non- negative numbers y∈ [0, +∞)
6.) The candyman spent $100 on his new costume to scare little kids and has $25 left. His
hourly pay is $5. How many hours did he work to afford his new costume, plus the $25?
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Answer:
the answer is 30 or 5
Step-by-step explanation:
tvgnfjh
help i need a place to watch movies during schools
Answers
Answer:
try to use soap2day.to if its not blocked by your school
Answer:
wdym? Netflix?
like do you mean you need a setting to watch them?
- Library
random table or bench
or do you need a site to watch them?
- Netflix ( needs subscription )
- Disney + ( Needs Subscription )
Hope that helps?
oh god please help I have no idea what this is
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Answer:
1. 10/7, 2/1, 1,5
2. 5/8 * 3/2
Step-by-step explanation:
(:
Answer:
Which part exactly.. Or which number exactly
297,060 ÷ 0.0004839 =
Answers
Answer:
613,887,166.76999
Step-by-step explanation:
hshsididodj bdnd
dbdbjdjd
nsbbdbd
bdbbdhd
Answer:
[tex]297,060 ÷ 0.0004839 =613887166.77[/tex]
Which of the following equations gives the
relationship between the price in dollars, p, and the
number of pieces of salt-water taffy, s, in a bag of salt-
water taffy from Walter's Watery Taffy?
Answers
Answer: p=0.25s
Step-by-step explanation: I am taking the test to
The correct equation is p = ms + b, where m and b are constants.
This equation represents a linear relationship between the price p and the number of pieces of salt-water taffy s. The constant m represents the slope of the line, and the constant b represents the y-intercept.
The other equations are not correct because they do not represent a linear relationship. For example, the equation p = [tex]s^2[/tex] represents a quadratic relationship, and the equation p = s/2 represents a linear relationship with a slope of 1/2.
Here is a brief explanation of why the correct equation is p = ms + b.
The price p is a linear function of the number of pieces of salt-water taffy s. This means that the price increases at a constant rate as the number of pieces of salt-water taffy increases.
The constant m represents the slope of the line. The slope of the line tells us how much the price increases for every additional piece of salt-water taffy.
The constant b represents the y-intercept. The y-intercept tells us the price when the number of pieces of salt-water taffy is 0.
Therefore, the correct equation is p = ms + b.
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Factor.
2xy+5x−12y−30
Enter your answer in the box.
Answers
(2y+5)(x−6)
not rlly sure tho
Find the value of x
(Please please please help me I will give you brainliest!)
Answers
Answer:
55
Step-by-step explanation:
rectangular triangle
180-(35+90)=55
Answer:
55
Step-by-step explanation:
A train travels at 100 miles per hour. Write an equation that compares the time (t) with the distance (d).
t = 100d
d = 100t
d = t + 100
t = d + 100
Answers
Answer: d = 100t
Hope this helps!
Answer:
d = 100 * t
Step-by-step explanation:
d
------------
S l t
distance = d
time = t
speed = 100miles/h
d = 100 * t
A can of green beans cost $1.29 but goes on
sale for $0.79. What was the sale on the green
beans?
Plz help!!!
Answers
Answer:
≈ 38.76%Step-by-step explanation:
Given:
Cost = $1.29Sale = $0.79Sale percent is:
(1.29 - 0.79)/1.29*100% ≈ 38.76%what is 160% of 80kg
Answers
Answer:
128kg
Step-by-step explanation:
I don't know how to explain it here the answer
Answer:
128
Step-by-step explanation:
160%=1.60
1.60*80=128
Click on the graph to draw a trapezoid with right angles at (0, -7) and (8,−7), another vertex at (8,0), and a vertical base of 16 units
Answers
Step-by-step explanation: It already tells you three of the coordinates. From plotting those, just create a vertical line from (0, -7) up that is equal to 16 and connect that coordinate with (8, 0).
Allowance method entries
The following transactions were completed by Wild Trout Gallery during the current fiscal year ended December 31:
Jan. 19. Reinstated the account of Arlene Gurley, which had been written off in the preceding year as uncollectible. Journalized the receipt of $2,560 cash in full payment of Arlene’s account.
Apr. 3. Wrote off the $14,670 balance owed by Premier GS Co., which is bankrupt.
July 16. Received 25% of the $26,300 balance owed by Hayden Co., a bankrupt business, and wrote off the remainder as uncollectible.
Nov. 23. Reinstated the account of Harry Carr, which had been written off two years earlier as uncollectible. Recorded the receipt of $4,175 cash in full payment.
Dec. 31. Wrote off the following accounts as uncollectible (compound entry): Cavey Co., $11,035 ; Fogle Co., $3,275 ; Lake Furniture, $ 8,420 ; Melinda Shryer, $2,380.
Dec. 31. Based on an analysis of the $1,299,500 of accounts receivable, it was estimated that $56,500 will be uncollectible. Journalized the adjusting entry.
Required:
1. Record the January 1 credit balance of $53,800 in a T account presented below in requirement 2b for Allowance for Doubtful Accounts.
2. a. Journalize the transactions. If an amount box does not require an entry, leave it blank. Note: For the December 31 adjusting entry, assume the $1,299,500 balance in accounts receivable reflects the adjustments made during the year.
2. b. Post each entry that affects the following T accounts and determine the new balances:
3. Determine the expected net realizable value of the accounts receivable as of December 31 (after all of the adjustments and the adjusting entry).
$fill in the blank 73711efa1fe301a_1
2,290,000
4. Assuming that instead of basing the provision for uncollectible accounts on an analysis of receivables, the adjusting entry on December 31 had been based on an estimated expense of ½ of 1% of the sales of $8,020,000 for the year, determine the following:
a. Bad debt expense for the year.
b. Balance in the allowance account after the adjustment of December 31.
c. Expected net realizable value of the accounts receivable as of December 31 (after all of the adjustments and the adjusting entry).
Answers
Using the Allowance Method, the relevant transactions can be completed in the books of Wild Trout Gallery as follows:
1. Allowance for Doubtful Accounts
Accounts Debit Credit
Jan. 1 Beginning balance $53,800
Jan. 19 Accounts Receivable 2,560
Apr. 3 Accounts Receivable $14,670
July 16 Accounts Receivable 19,725
Nov. 23 Accounts Receivable 4,175
Dec. 31 Accounts Receivable 25,110
Dec. 31 Ending balance $56,500
Dec. 31 Bad Debts Expenses $55,470
Totals $116,005 $116,005
Accounts Receivable
Accounts Debit Credit
Jan. 1 Beginning balance $2,290,000
Jan. 19 Allowance for Doubtful 2,560
Jan. 19 Cash $2,560
Apr. 3 Allowance for Doubtful 14,670
July 16 Allowance for Doubtful 19,725
July 16 Cash 6,575
Nov. 23 Allowance for Doubtful 4,175
Nov. 23 Cash 4,175
Dec. 31 Allowance for Doubtful 25,110
Dec. 31 Sales Revenue 8,020,000
Dec. 31 Cash $8,944,420
Dec. 31 Ending balance $1,299,500
Totals $10,316,735 $10,316,735
3. Expected net realizable value of the accounts receivable as of December 31 = $1,243,000 ($1,299,500 - $56,500)
Allowance for Doubtful Accounts ending balance = $40,100 ($8,020,000 x 0.5%)
Allowance for Doubtful Accounts
Accounts Debit Credit
Jan. 1 Beginning balance $53,800
Jan. 19 Accounts Receivable 2,560
Apr. 3 Accounts Receivable $14,670
July 16 Accounts Receivable 19,725
Nov. 23 Accounts Receivable 4,175
Dec. 31 Accounts Receivable 25,110
Dec. 31 Ending balance $40,100
Dec. 31 Bad Debts Expenses $39,070
Totals $99,605 $99,605
4. a. Bad Debt Expense for the year = $39,070
4.b. Balance for Allowance Accounts = $40,100
4.c. Expected net realizable value of the accounts receivable = $1,259,400 ($1,299,500 - $40,100)
Data Analysis:
Jan. 19 Accounts Receivable $2,560 Allowance for Uncollectible Accounts $2,560
Jan. 19 Cash $2,560 Accounts Receivable $2,560
Apr. 3 Allowance for Uncollectible Accounts $14,670 Accounts Receivable $14,670
July 16 Cash $6,575 Allowance for Uncollectible Accounts $19,725 Accounts Receivable $26,300
Nov. 23 Accounts Receivable $4,175 Allowance for Uncollectible Accounts $4,175
Nov. 23 Cash $4,175 Accounts Receivable $4,175
Dec. 31 Allowance for Uncollectible Accounts $25,110 Accounts Receivable $25,110
Accounts Receivable ending balance = $1,299,500
Allowance for Uncollectible Accounts ending balance = $56,500
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48 cookies; 50% increase
Answers
Answer:
72
Step-by-step explanation:
48÷2= 24
48+24= 72
Hope this helps! :)
Answer:
its 72.00
Step-by-step explanation:
48.00 increased by 50% is 72.00
The increase is 24.00
midpoint of (-1, -1, and (-11,10)
Answers
Answer:
(-6, 4.5)
Step-by-step explanation:
Answer:
ki
Step-by-step explanation:
2 1/2 + 1 7/8 | write your answer in simplest form. Show your work!
Answers
Answer:
4 3/8
Step-by-step explanation:
must get a common denominator so u must multiply 2 times 4 to get 8 and mutiply the top by 4 also. now u will have 2 4/8 plus 1 7/8. add the fractions and u will have 11/8, simplify to get 1 3/8. add the whole numbers 2 plus 1 plus 1 equals 4 3/8
6 is 15% of what number
Answers
what is the height if a painting is 1 centimeters and represents as 9 inches
Answers
Answer:
The height of the real painting is 36 incheswork out the value of 5(x-y)
Answers
Answer:
5x - 5y
Step-by-step explanation:
Answer:
5x-5y or x=y.
Step-by-step explanation:
If 5(x-y) then we can distribute that, right?
then that turns into 5x-5y, lets say that equals zero, since there is no other information. Then 5x-5y=0 and wecould add 5y to both sides, getting 5x=5y
dividing 5x=5y/5 we get x=y.
Michelle has money in two savings accounts. One rate is 6%
and the other is 14%
. If she has $900
$
900
more in the 14%
account and the total interest is $209
, how much is invested in each savings account?
Answers
Answer:
$415 at 6% and $1315 at 14%
Step-by-step explanation:
She has x amount at 6%.
She has y amount at 14%.
y = x + 900
0.06x + 0.14y = 209
Since the first equation is already solved for y, we use the substitution method. Substitute x + 900 for y in the second equation and solve for x.
0.06x + 0.14(x + 900) = 209
0.06x + 0.14x + 126 = 209
0.2x = 83
x = 415
y = x + 900
y = 415 + 900
y = 1315
Answer: $415 at 6% and $1315 at 14%
Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal?
Answers
C. Direction : Arrange the events in the menstrual cycle. Write the number that corresponds to
the order of the event in the cycle.
________1. Menstrual flow
________2. Release of the egg
________3. Shedding of the
endometrium
__________4. Thickening of the endometrium
Answers
Answer:
4
3
2
1
Step-by-step explanation:
so thickening of the endometrium
then shedding of the endometrium
release of the egg
then menstrual flow
f(x)=8x-5 when x=-1, x=2, and x=3
Evaluate
Answers
Answer:
-13, 11, 19
Step-by-step explanation:
You will plug in the numbers for x in each equation so you will have three equations:
1. 8(-1)-5
2. 8(2)-5
3. 8(3)-5
Solve these equations and you will get
1. -13
2. 11
3. 19
Giải giúp mình với ạ
Answers
Answer:
answer is b
Step-by-step explanation:
Evaluate.
-8+ (6 + 4) = (-2)
0 – -13
-
-
o - 4
0 -3
-
o - 1
Answers
Answer:
-13
Step-by-step explanation:
Step 1: Evaluate the terms in parenthesis
6+4=10
The expression becomes -8 + 10 ÷ (-2)
Step 2: Division
10 ÷ (-2) = -5
The expression becomes -8 + (-5)
Step 3: Subtraction
-8 - 5 = -13
IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math
Answers
Answer:
55mph
Step-by-step explanation:
average speed=330/6=55mph
Consider the following game. The diamonds are taken out of a deck of cards, and are shuffled randomly. You pay $5 to pick one of the diamonds. If you pick the ace of diamonds, you win $20. If you pick the jack, queen, or king, you win $10. However, if you pick any other card, then you don't win any money. What is the expected value of this game? Is it in the player's favor to play this game? Why or why not?
Answers
Answer:
It is not in the players favor because there is a 4/13 chance that the player will win money. That"s not even 50%. So its up to the player if they want to take that risk but its a 0.3% chance that the player will win money.
Hope this helps :)
3010 divided by .20 = ?
Answers
Answer:
15050
Step-by-step explanation:
Answer:
15050
Step-by-step explanation:
I need step by step solution..
the general solution of cosx-sin3x=cos2x is..??
Answers
Answer:
I am doiiinnnnnnnnngggggg