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Sergio039 [100]
3 years ago
9

Examine the right triangle.

Mathematics
2 answers:
Nesterboy [21]3 years ago
7 0

Answer:

StartRoot 34 EndRoot

Step-by-step explanation:

c² = 3² + 5²

c² = 9 + 25

c² = 34

c = sqrt(34)

melomori [17]3 years ago
4 0

Answer:

sqrt(34) = c

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 + b^2 = c^2

3^2 + 5^2 = c^2

9+25 = c^2

34 = c^2

Take the square root of each side

sqrt(34) = sqrt(c^2)

sqrt(34) = c

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An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the
BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits 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.

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.

An electronic product contains 48 integrated circuits.

This means that n = 48

The probability that any integrated circuit is defective is 0.01.

This means that p = 0.01

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

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

P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173

0.6173 = 61.73% probability that the product operates.

5 0
3 years ago
REPOST
melamori03 [73]

Answer:

  1. 5/48, 3/16, .5, .75, 13
  2. 1/5, .35, 12/25,  .5, 4/5
  3. -3/4, -7/10, 3/40, 8/10
  4. -.65, -3/8, 5/16, 2/4

Step-by-step explanation:

  1. 5/48 = 1.0291666666 | 3/16 = .1875 the rest is obvious
  2. 1/5 = .2 | 12/25 = .48 | 4/5 = .8
  3. -3/4 = -.75 | -7/10 = -.7 | 3/40 = .075 | 8/10 = .8
  4. -3/8 = -.375 | 5/16 = .3125 | 2/4 = .5
5 0
3 years ago
The circumference of a circle is C centimeters. The diameter of the circle is 19 centimeters. Which expression best represents t
sp2606 [1]

Answer:

Step-by-step explanation:

C = 19π

π = C/19

5 0
3 years ago
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What is the unit rate for $4.75
Softa [21]

Answer:

2.436

Step-by-step explanation:

It’s Right Trust me

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3 years ago
A farm uses a circular system to water the crops. The arm on the system (the radius) is 400 meters long. What area of land can i
ElenaW [278]
To answer this question you would need to know the formula for the area of a circle, \pi r^{2}. You would start by squaring 400, getting 160,000. You would then multiply 160,000 by 3.14, getting 502,400 meters squared as your answer.
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3 years ago
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