Answer:
0.017
Step-by-step explanation:
The probability that exactly some number of DVDs are faulty is approximately 0.9884 or 98.84%.
To calculate the probability that exactly a certain number of DVDs are faulty, we need to use the binomial probability formula. The binomial probability formula is given by: [tex]P(X = k) = C(n, k) * p^k * q^{n-k}[/tex]
- P(X = k) is the probability of getting exactly k successes (in this case, exactly k faulty DVDs).
- C(n, k) is the number of combinations of n items taken k at a time, also known as the binomial coefficient. It is calculated as [tex]C(n, k) = n! / (k! * (n - k)!).[/tex]
- p is the probability of success (getting a faulty DVD from Watchflicks or Bluechest).
- q is the probability of failure (getting a non-faulty DVD), which is equal to 1 - p.
- n is the total number of trials (in this case, the total number of DVDs rented).
Let's calculate the probability that exactly "x" DVDs are faulty (where x can be 0, 1, 2, 3, or 4).
Probability of getting a faulty DVD from Watchflicks (p1) = 4%
= 0.04
Probability of getting a faulty DVD from Bluechest (p2) = 5%
= 0.05
Total number of DVDs rented from Watchflicks (n1) = 3
Total number of DVDs rented from Bluechest (n2) = 2
Total number of DVDs rented (n) = n1 + n2
= 3 + 2
= 5
Let's calculate the probabilities for each value of x:
1. Probability that exactly 0 DVDs are faulty (x = 0):
[tex]P(X = 0) = C(5, 0) * (0.04)^0 * (1 - 0.04)^5 \\= 1 * 1 * 0.961^5 \\\approx 0.8145[/tex]
2. Probability that exactly 1 DVD is faulty (x = 1):
[tex]P(X = 1) = C(5, 1) * (0.04)^1 * (1 - 0.04)^4 \\= 5 * 0.04 * 0.960^4 \\\approx 0.1641[/tex]
3. Probability that exactly 2 DVDs are faulty (x = 2):
[tex]P(X = 2) = C(5, 2) * (0.04)^2 * (1 - 0.04)^3 \\= 10 * 0.0016 * 0.941^3 \\\approx0.0084[/tex]
4. Probability that exactly 3 DVDs are faulty (x = 3):
[tex]P(X = 3) = C(5, 3) * (0.04)^3 * (1 - 0.04)^2 \\= 10 * 0.000064 * 0.922^2\\ \approx0.0014[/tex]
5. Probability that exactly 4 DVDs are faulty (x = 4):
[tex]P(X = 4) = C(5, 4) * (0.04)^4 * (1 - 0.04)^1 \\= 5 * 0.00000256 * 0.960 \\\approx 0.0000024[/tex]
Now, to find the probability that "exactly" (all DVDs being accounted for) a certain number of DVDs are faulty, we simply add up the individual probabilities: P(exactly 0 DVDs faulty) + P(exactly 1 DVD faulty) + P(exactly 2 DVDs faulty) + P(exactly 3 DVDs faulty) + P(exactly 4 DVDs faulty) ≈ 0.8145 + 0.1641 + 0.0084 + 0.0014 + 0.0000024
≈ 0.9884
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What does 300,000÷700 Equal
Answer: 42.857142857142854
Step-by-step explanation:
Rounded to the nearest tenth: 42. 9 or 42.90
Rounded to the nearest hundred: 42. 86 or 42.860
Hope this help, take care.
-8.3=d+4.7 due today need help
Answer:
d = -13
Step-by-step explanation:
Subtract 4.7 from both sides to get d by itself
-13 = d
Answer:
-13
Step-by-step explanation:
Subtract the total (-8.3) by the number that we know (4.7), to get -13 as the answer for the value of D.
(We can clarify by doing -13+4.7=-8.3)
The grocery store charges $6.85 for 5 bags of potatoes. If someone bought 7 bags of potatoes, how much would it cost them? *
Answer:
9.59
Step-by-step explanation:
You divide 6.85 by 5 to get 1.37, then you multiply it by 7 to get your answer 9.59 :)
A 2-column table with 3 rows titled Units of Capacity. Column 1 is labeled Customary System Units with entries 1 gallon, 1 quart, 1 cup. Column 2 is labeled Metric System Units with entries 3.79 liters, 0.95 liters, 0.237 liters.
How many deciliters are equivalent to 5 cups?
2.1097 deciliters
11.85 deciliters
118.5 deciliters
210.97 deciliters
9514 1404 393
Answer:
11.85 deciliters
Step-by-step explanation:
Your table tells you 1 cup is 0.237 liters. Then 5 cups is ...
(5 cups)(0.237 L/cup) = 1.185 L = 11.85 dL
__
"deci-" is the SI prefix for 1/10. 1.1 liters is 11 tenths of a liter.
If you work 40hrs during the week. How many minutes does that represent and how many seconds?
Answer:
2,400 minutes and its is 144,000 secods
Step-by-step explanation:
. Solve the given equation
3m+7
____=13/6
5m-4
What is the absolute value of 2 - 9i ?
Help me out
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Absolute value.
so we get as,
let, y = 2 - 9i
so the absolute value is |y|
[tex] |y| = \sqrt{ {2}^{2} + {9}^{2} } [/tex]
so we get as,
|y| =
[tex] \sqrt{81 + 4} = \sqrt{85} [/tex]
so the absolute value is
[tex] \sqrt{85} [/tex]
Need help for number 4 please
I have uploaded the problem to my sons homework
We appreciate any help
Answer:
Step-by-step explanation:
4) ΔSTW ≅ ΔBFN . So, corresponding parts of congruent triangles are congruent.
a) BN = SW d) m∠W = m∠N
BN = 9 cm m∠W = 82°
b) TW = FN e) m∠B = m∠S
TW = 14 cm m∠B = 67°
c) BF = ST f) m∠B + m∠N + m∠F = 180°
BF = 17 cm 67 + 82 + m∠F = 180
149 + m∠F = 180
m∠F = 180 - 149
m∠F = 31°
5) ΔUVW ≅ ΔTSR
UV = TS
12x - 7 = 53
12x = 53+7
12x = 60
x = 60/12
x = 5
UW =TR
3z +14 = 50
3z = 50 - 14
3z = 36
z = 36/3
z = 12
SR =VW
5y - 33 = 57
5y = 57 + 33
5y = 90
y = 90/5
y = 18
7) ΔPHS ≅ ΔCNF
∠C = ∠P
4z - 32 = 36
4z = 36 + 32
4z = 68
z = 68/4
z = 17
∠H = ∠N
6x - 29 = 115
6x = 115 + 29
6x = 144
x = 144/6
x = 24
∠P + ∠H + ∠S = 180 {Angle sum property of triangle}
36 +115 + ∠S = 180
151 + ∠S = 180
∠S = 180 - 151
∠S = 29°
∠F = ∠S
3y - 1 = 29
3y = 29 + 1
3y = 30
y = 30/3
y = 10
8) ΔDEF ≅ ΔJKL
DE = 18 ; EF = 23
DF = 9x - 23
JL= 7x- 11
DF = JL {Corresponding parts of congruent triangles}
9x - 23 = 7x - 11
9x - 7x - 23 = -11
2x - 23 = -11
2x = -11 + 23
2x = 12
x = 12/2
x = 6
JK = DE {Corresponding parts of congruent triangles}
3y - 21 = 18
3y = 18 + 21
3y = 39
y = 39/3
y = 13
-635 simplest radical form
Answer:
I believe it is (Square root) And then make it positive. Therefore, 634 should be the correct answer.
Step-by-step explanation:
Fernando bought 30 shares of Stock XYZ at the close price of $14.21. He
bought 30 more shares a year later at the price of $15.89. If his broker
charges $14 for each transaction, how much money did Fernando spend in
total to make these purchases?
A. $931.00
B. $490.70
C. $903.00
D. $440.30
Answer:
931.00
Step-by-step explanation: took the quiz
2, 202, 402, 602 what is the common difference
-2
Step-by-step explanation:
The difference between second term and first term or third term and second term in an AP series is called common difference.
Hence, in the given sequence −2,−4,−6,......, the common difference is −4−(−2)=
Which two expressions are equivalent?
Answer:
B and C
Step-by-step explanation:
What is the surface area of a right rectangular prism with length 4 (cm), width 9cm,and height 3cm?
Answer:
ssssssssssssssssssssssssssssss
Step-by-step explanation:
Answer is one hundred and eight
The price of a shirt is $20, but you have a coupon that lowers the price by 20%. What is the price of the shirt after using the coupon?
Answer:
$16
Step-by-step explanation:
20% of 20 is 4, $20- $4 = $16.
Step-by-step explanation:
16
first we need to find out how much that 20$ to 20%
which is 4 so then do 20 minus 4 wihch is 16
Equiangular Triangles can only have acute angles. True or false?
Answer: The answer is true :)
4). What is 75% of 150?
3.3 = ? as a friction
Answer:
33/10
Step-by-step explanation:
I used a calculator sorry if I am wrong
Answer:
3 3/10.
Step-by-step explanation:
The first 3 is a whole number because it is to the left of the decimal point, and it represents 3 ''ones''.
Can u help me please
Answer:
Step-by-step explanation:
2 more tiles are added in the next figure so in figure 30 the tiles will be 61
Answer:
9 tiles
Step-by-step explanation:
So figure 3 is literally figure 2 but added 1 to each corner. If the pattern is to contiue there should be 9 for figure 4.
What’s the answer? Also, anyone know or care to explain how to use fraction bars like this? Thanks
Answer:
can't see full thing dhbsvshshzhd
what fraction of 5 liters is 1500 ml
Answer:
3/10
Step-by-step explanation:
There are 1000 mL in a L
1500mL=1.5L
So
1.5/5
multiply by 10/10
15/50
Simplify:
3/10
Hopefully I was helpful!
What is the gradient of the blue line?
Answer:
gradient is 0.35
Step-by-step explanation:
The gradient or slope of the line is 1/4.
What is the slope of a line?The slope of a line indicates the direction and the steepness of the line. The formula for the slope of a line passing through the points (x₁,y₁) and (x₂, y₂) is m = (y₂-y₁)/(x₂-x₁).
The graph of the line is given.
Note that the line passes through the point (0,1) ad (4,2).
The gradient of the line is nothing but the slope of the line.
The slope of the line is:
m = (2-1)/(4-0)
m = 1/4
Hence, the gradient or slope of the line is 1/4.
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A. Mojo the monkey has 2 whole bananas and 5 half bananas. Write a mixed number to show how many bananas Mojo has.
B. Manny the monkey has 4 whole bananas and 1 half banana. Do Mojo and Manny have the same amount of bananas? Explain how you know.
C. Marcus the monkey has the same amount of bananas as Mojo. He only has half bananas. How many half bananas does he have? Explain your answer. Please Help!
Answer: A= 4.5 B=no C= 4.5
Step-by-step explanation:
there are 23 tables in the library. each table has 4 chairs. 3rd graders sit in all the chairs at 3 tables. fourth graders sit in all the chairs at 6 tables the rest are empty
Answer:
14 tables left
Step-by-step explanation:
23-6-3= 14
whats 4x divided by 2
Answer:
2x i hope it is right good luck
Convert 0.14 to a fraction. Reduce the fraction to its lowest terms
Answer:
7/50
Step-by-step explanation:
7/50 is the reduced fraction form of 0.14.
What is the product of 3/5 and 25. Is the product more or less than 14? Explain your answer in complete sentences.
Answer:
15. Yes, it is larger than 14.
Step-by-step explanation:
In this problem,
[tex]\frac{3}{5}[/tex]×25,
25 is divided by 5 and the remainder is 5, So,
3×5 = 15,
Now,
15 > 14,
So, the product of ([tex]\frac{3}{5}[/tex] × 25) is greater than 14
Answer:
vudnfvd 3/5
Step-by-step explanation:
Questions 8 & 10
For each label the “Extra Congruency Information.” Options- none, reflexive property, or vertical angles. Also label the “Postulate.” Options- SSS, SAS, ASA, AAS, HL, not congruent. (if you need help understanding please comment)
Answer:
sorry I don'tknow. ...answer
Is 13/ 4 the same as 3 1/4 ? Explain your answer in complete sentences.
Answer:
no it is not the same.
Step-by-step explanation:
it is not the same because 13/4 is smaller than 3/14. 3 1/4 includes a whole number, and 13/4 doesn't.
The school that Adam goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 5 senior citizen tickets and 15 student tickets for a total of $137.50. The school took in $430 on the second day by selling 20 senior citizen tickets and 44 student tickets. Find the price of a student ticket.
Answer:
Let the price of one senior citizen ticket be sc and the price of one student ticket be st.
Let's write equations using the information given and the variables above:
=> 5sc + 15st = $137.50
=> 20sc + 44st = $430
Hmm.. We can multiply 5sc by 4 to get 20sc.
=> 4(5sc) + 4(15st) = 4($137.50)
=> 20sc + 60st = $550
Now we can subtract the second equation from the first to determine the price of a student ticket.
20sc + 60st = $550
- 20sc + 44st = $430
=> 16st = $120
=> st = $7.5
So, the price of a student ticket is $7.5.
Pls help me I only have 45 min and am stuck on this question?!
At 6 am the temperature was -5°F. By noon the temperature had increased 12°. What was the temperature at noon?
Answer:
7°
Step-by-step explanation:
If the temperature was -5 and it increased by negative 12, it's asking you to add -5 and 12
-5+12=7