Answer:
61.2
Step-by-step explanation:
(x^b-c)^1÷bc×(x^c-a)^1÷ac×(x^a-b)^1÷ab
Suppose 88% of all batteries from a supplier have acceptable voltages. A certain type of flashlight requires two D batteries, and the flashlight will work only if both its batteries have acceptable voltages. Treat all batteries and flashlights as independent of one another. Suppose 20 randomly selected batteries are placed into 10 flashlights. What is the probability that at least 9 of the flashlights function properly
Answer:
0.3036 = 30.36% probability that at least 9 of the flashlights function properly.
Step-by-step explanation:
For each flashlight, there are only two possible outcomes. Either it works, or it does not. Flashlights are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Flashlight works correctly if both its batteries have acceptable voltages:
Each battery has an 88% = 0.88 probability of working correctly(having acceptable voltage), so the probability of the flashlight working correctly is given by:
[tex]p = (0.88)^2 = 0.7744[/tex]
10 flashlights.
This means that [tex]n = 10[/tex]
What is the probability that at least 9 of the flashlights function properly?
This is
[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{10,9}(0.7744)^{9}.(0.2256)^{1} = 0.2260[/tex]
[tex]P(X = 10) = C_{10,10}(0.7744)^{10}.(0.2256)^{0} = 0.0776[/tex]
[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.2260 + 0.0776 = 0.3036[/tex]
0.3036 = 30.36% probability that at least 9 of the flashlights function properly.
Based on the following data, would Beth and Roger Simmons receive a refund or owe additional taxes.
Answer:
received a refun
Step-by-step explanation:
They will need to get refund based on the information given because I don't see any data to work with here
Dylan paid $3.50 for 12 folders. How much would he pay for 30 folders?
Answer:
8.75
Step-by-step explanation:
12f=3.50
30f=3.50/12*30
3.50/12*30= 8.75
8.75 is the amount for 30 folders.
what is an equivalent expression to 2x+10x
Answer:
=12x
Step-by-step explanation:
What is the length of the base of a right triangle with an area of 24 square meters and a height of 4 meters?
3 m
6 m
12 m
96 m
Answer:
12
you can chose to belive me or not
The length of the base of a right triangle with an area of 24 square meters and a height of 4 meters is 12 meters.
The correct option is C.
What is a right-angled triangle?A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.
Given:
An area of the right triangle = 24 square meters.
Height = 4 meters.
Then,
An area of the right triangle = 24 square meters.
1/2 x base x height = 24
1/2 x base x 4 = 24
Base = 12 meters.
Therefore, the base is 12 meters.
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A compound inequality is graphed, and its graph consists of all real numbers.
Which open sentence could have resulted in this solution set?
A. r < 3 or r > –2
B. r > 3 or r > –2
C. r < 3 or r < –2
D. r > 3 or r < –2
Answer:
A
Step-by-step explanation:
Domain of r<3: (-∞,3)
Domain of r>-2: (-2,+∞)
(-∞,3)U(-2,+∞)=(-∞,+∞) = ℝ
What is the range of possible sizes for side x?
Answer:
Your answer is
1/2 <x<8
as per triangular rules
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FAST PLS
Mary bought 10 1/2 pounds of turkey for a picnic. There were 4 3/4 pounds of turkey left after making 25 turkey sandwiches. Which statement is true?
A The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.
B The quotient −534÷25=−23100 means the average change in the total amount of turkey increased by 23100 pound per sandwich.
C The quotient 534÷25=23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.
D The quotient 534÷25=23100 means the average change in the total amount of turkey increased by 23100 pound per sandwich.
Answer:
HEYO!! soo the answer is A!! I tried B like the other person said but i got it wrong! so its A!
Step-by-step explanation:
Option A is correct. The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Mary bought [tex]10\frac{1}{2}[/tex] pounds of turkey for a picnic.
There were [tex]4\frac{3}{4}[/tex] pounds of turkey left after making 25 turkey sandwiches.
We need to find which statement will be true from the given options.
The solution we get by using the division process.
Division is nothing but splitting something to equal parts.
The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich is the true statement.
Hence, Option A is correct. The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.
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write an equivalent expression for z to the power of 8
Answer:
z^8
Step-by-step explanation:
How many kilograms are equivalent to 14,000 grams?
Answer:
14
Step-by-step explanation:
the answer for this question is 14
Answer:
14 kiligrams
Step-by-step explanation:
1 = w/10 what is up plz help
Answer:
I think it would be W=1
Step-by-step explanation:
Hope this helps :-)
Solve the quadratic function by factoring
Y=x2-2x-48
A triangle has an area of 64 cm² and a base of 10 cm².
What is the height of the triangle?plsssssssssssss help
Will give 5/5 if 2 ppl answer I can give brainlest
Answer:
Your answer is 12.8
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Car repairs: Let be the event that a new car requires engine work under warranty and let be the event that the car requires transmission work under warranty. Suppose that ,P(E) = 0.10 , P(T) = 0.02 and P(E,T) = 0.01 .
(a) Find the probability that the car needs work on either the engine, the transmission, or both.
(b) Find the probability that the car needs no work on the engine.
Answer:
a) 0.11 = 11% probability that the car needs work on either the engine, the transmission, or both.
b) 0.9 = 90% probability that the car needs no work on the engine.
Step-by-step explanation:
P(E) = 0.10 , P(T) = 0.02 and P(E,T) = 0.01 .
This means that:
Only engine: 0.1 - 0.01 = 0.09
Only transmission: 0.02 - 0.01 = 0.01
Both engine and transmission: 0.01
(a) Find the probability that the car needs work on either the engine, the transmission, or both.
0.09 + 0.01 + 0.01 = 0.11
0.11 = 11% probability that the car needs work on either the engine, the transmission, or both.
(b) Find the probability that the car needs no work on the engine.
Probability of needing work on engine:
0.09 + 0.01 = 0.1
Not needing:
1 - 0.1 = 0.9
0.9 = 90% probability that the car needs no work on the engine.
can someone help me
Answer:
30
Step-by-step explanation:
Given
f(x) = x² - x
Then
f(-5) = (-5)² - (-5)
= 25 + 5
= 30
Help please and thanks
Find the surface area of the rectangle:
8 cm
5 cm
12 cm
raynor earns $4 in rewards for every $75 he spends at the grocery store if he earned $44 in rewards last much did he spend at the store
Answer:824
Step-by-step explanation:
Answer:824
Step-by-step explanation:
Two brothers have ages that are consecutive odd integers. The product of their ages is 38 less than the older brother's age squared. What are the ages of the two brothers?
answer = the elder bother is 17 and the younger one is 15
constructive odd integers= 15 and 17
17×15= 255
255+38 = 293
Square root of 293 = 17
write
14/17
as a decimal rounded to the nearest tenth.
Answer:
0.8235 is a decimal and 82.35/100 or 82.35% is the percentage for 14/17.
Step-by-step explanation:
hope it helps
The decimal rounded to the nearest tenth is, 8.235×10⁻¹
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
The given term is 14/17,
Simplify this term, by dividing,
14/17 = 0.823529411
The decimal rounded to the nearest tenth is, 8.235×10⁻¹.
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EASY TRUE OR FALSE QUESTION
Answer: False
Step-by-step explanation:
Answer: False
Step-by-step explanation:
The average annual salary for a teacher national is $58,350 this is projected to increase 2% per year for the next four years what will your projected annual salary be in four years
Answer:
Step-by-step explanation:
[tex]F=Ir^t,\text{ where F=final amount, I=initial amount, r=rate of change, t=time}\\ \\ F=58350(1.02)^4\\ \\ F=\$ 63159.92[/tex]
can someone help me please
Answer:
1.36
2.4
3.-11
4.2
5.-20
How many triangles can be constructed with angles measuring 50°, 90°, and 40°?
A.one
B.none
C.more than one
I need help what is the simplest form for the number 10 6/9?
5. Solve the inequality for n: 4n+2(n+1)>n+52
Answer:n>10
Step-by-step explanation:b
Examine the worked problem and solve the equation
Answer:
The solution is 9
What is 2/9 + 7/9 + 6/9 equal to
Answer:
15/9
Step-by-step explanation:
2/9+7/9+6/9
2×1, 7×1,6×1
2/9,7/9,6/9=15/9
If u want u can devide it
On a coordinate grid, point A is at (−2.0, −3.4) and point B is at (2.0, −3.4). Point B is a reflection of point A across the
–axis. Input either a lowercase x or y.
Answer:
Y axis is correct :))
Step-by-step explanation: