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julsineya [31]
3 years ago
15

Quinzel earns $1,254 each month. His total deductions are 20% of his pay. How much is deducted from his pay each month? A. $62.7

0 B. $627.20 C. $250.80 D. $245.72
Mathematics
1 answer:
Blababa [14]3 years ago
6 0
The answer is C. 250.80

change the percent to a decimal (0.20) and multiply 1,254x0.20=250.80
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Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone
Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of each system working:

4 components, which means that n = 4

Each has a 30% probability of failing, so p = 1 - 0.3 = 0.7

For the system to work, all 4 components have to work. This is P(X = 4).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so n = 7

0.2401 probability of a system working.

We have to find P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615

16.15% probability that exactly 3 of them would function

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3 years ago
3+12x5/(5+15) What’s the answer
r-ruslan [8.4K]

\bf 3+12\times \cfrac{5}{(5+15)}\implies 3+12\times \cfrac{5}{\underset{\uparrow }{20}}\implies 3+12\times \cfrac{1}{4}\implies 3+\cfrac{\stackrel{\downarrow }{12\times 1}}{4} \\\\\\ 3+\cfrac{12}{4}\implies 3+\stackrel{\downarrow }{3}\implies 9

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The red chord is a diameter of the circle, so the length of the blue arc is half the circle's circumference.

The circumference of a circle with diameter d is \pi d, so the circle has circumference 8\pi, and so the arc has length 4\pi.

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On Saturday, Wendy babysat for
Degger [83]

Answer:

9(4/3)

Step-by-step explanation:

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a _ variable represented by the symbol h can take on any number of numeric values and allow arithmetic operations to be performe
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Answer: It would be a Constant variable.

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