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2 years ago

(-3 +6 i )(-3 - 6 i )

Mathematics

1 answer:

Mrrafil [7]2 years ago

7 0

Answer:

Step-by-step explanation:

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Ahhh plz help last question!!! 15 points

Archy [21]

Area of triangle = 1/2(4)(4) = 16/2 = 8

if Area of square then A = 4 x 4 = 16

so answer
B. it's one half the area of square of side length 4 units

4 0

4 years ago

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Will mark brainliest. Step-by-step please. Thank you very much.

Naily [24]

Answer:

133°

Step-by-step explanation:

angles on a straight line = 180°

180 - 144 = 36°

angles in a triangle = 180°

36 + 31 = 67

180 - 67 = 113

answer = 113°

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3 years ago

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Elis [28]

C because the relation acts as a function no mater the 2 items

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3 years ago

A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen

noname [10]

Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.

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 combinatios 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.

In this problem we have that:

$n = 5, p = 0.93$

Calculate P(at least one valve opens).

This is $P(X \geq 1)$

Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:

$P(X = 0) + P(X \geq 1) = 1$

$P(X \geq 1) = 1 - P(X = 0)$

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

$P(X = 0) = C_{5,0}.(0.93)^{0}.(0.07)^{5} = 0.0000016807$

Finally

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000016807 = 0.9999983193$

There is a 99.99998% probability that at least one valve opens.

5 0

3 years ago

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The polynomial below is a perfect square trinomial of the form A^2 - 2AB + B^2

strojnjashka [21]

Answer:

False

Step-by-step explanation:

$9x^2-18x+36\\\\=(3x)^2- 3x \cdot 6+6^2\\\\\text{It is not in the form of}~ A^2-2AB+B^2$

8 0

2 years ago