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arsen [322]
3 years ago
7

175 calories in 12 ounces

Mathematics
1 answer:
Archy [21]3 years ago
8 0
<span>175 calories in 12 ounces
\frac{175}{12} =14.58</span>
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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

5 0
3 years ago
Please help me I suck at math
kari74 [83]

Answer:

B) 9 gallons

Step-by-step explanation:

It's asking you what 3/4ths of 12 is. Therefore, you multiply 3/4 by 12 to get your answer which is 9 gallons.

5 0
3 years ago
Read 2 more answers
Please find the value of X for number 4 5 and 6 thank you :)
antiseptic1488 [7]

Answer:

4. x = 6

5. x = 31

6. x = 34

Step-by-step explanation:

4. vertical angles

- 36/6 = 6

5. supplementary angles

180 - 56 = 124

124/4 = 31

6. complementary angle

90 - 22 = 68

68/2 = 34

6 0
3 years ago
Read 2 more answers
1. What are the roots of this equation? x2 + 4x + 8 = 0 A. –1 + i B. –4 +1 C. –2 + 21 D. -1 + 4​
Fynjy0 [20]

Answer:

5676656423

Step-by-step explanation:

fgh563453w

4 0
3 years ago
One way of solving systems of linear equations is by adding a multiple of one equation to the other. the multiplier for one equa
elena-s [515]
We want to use elimination to solve
y = 0                     (1)
x + y = 40             (2)

Multiply (1) by -1 to eliminate y.
-y = 0                    (3)

Add (2) and (3).
x + y + (-y) = 40 + 0
x = 40

Answer: Multiply by -1.
3 0
3 years ago
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