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4 years ago

9

Express the complex number in trigonometric form. -6i

1 answer:

mrs_skeptik [129]4 years ago

5 0

Here is a good example: but I don't know the actual form to your answer.

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Simplify the expression. show each step. -5 x 1 x 11 x 4

Luba_88 [7]

Step 1:

0 - ((5x • x11) • x4)

Final result :

-5x16

3 0

4 years ago

Read 2 more answers

Solar-heat installations successfully reduce the utility bill 60% of the time. What is the probability that at least 9/10 solar-

Wittaler [7]

Answer:

4.23% probability that at least 9/10 solar-heat installations are successful and will reduce the utility bill.

Step-by-step explanation:

For each installation, there are only two possible outcomes. Either it reduces the utility bill, or it does not. The probabilities for each installation reducing the utility bill are independent. So 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.

In this problem we have that:

Solar-heat installations successfully reduce the utility bill 60% of the time, which means that $p = 0.6$

What is the probability that at least 9/10 solar-heat installations are successful and will reduce the utility bill?

This is $P(X \geq 9)$ when $n = 10$ . So

$P(X \geq 9) = P(X = 9) + P(X = 10)$

In which

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

$P(X = 9) = C_{10,9}.(0.6)^{9}.(0.4)^{1} = 0.0363$

$P(X = 10) = C_{10,10}.(0.6)^{10}.(0.4)^{0} = 0.0060$

So

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0363 + 0.0060 = 0.0423$

4.23% probability that at least 9/10 solar-heat installations are successful and will reduce the utility bill.

3 0

3 years ago

What generalization can you deduce about the relationship between the area of the squares on each of the sides of a right triang

prohojiy [21]

Answer:

Phitagors theory

Step-by-step explanation:

a^2=b^2=c^2

6 0

3 years ago

A store had 150 Rams jerseys in stock on Friday. They had 100 jerseys left on Saturday. The amount went down by:

PSYCHO15rus [73]

Answer:

50

Step-by-step explanation:

4 0

2 years ago

A marble factory makes single marbles, then puts them in boxes of 10, cartons of 100, and crates of 1,000. How can the marble fa

Tju [1.3M]

Given, a marble factory makes single marbles and then puts them in boxes of 10, cartons of 100 and crates of 1000.

There are 21,650 marbles. We have to find how many boxes, cartons and crates are there.

We have to write 21,650 in the form of 1000, 100 and 10.

We can write 21,650 in the form of 1000 as, $(21)(1000) = 21000$

Now there $(21650-21000) = 650$ left.

We can write 650 in the form of 100 as, $(6)(100) = 600$

So there, $(650-600) = 50$ left.

Now we can write 50 in the form of 10 as, $(5)(10) = 50$ .

So we can write 21,650 as,

$21650 = (21)(1000)+(6)(100) + (5)(10)$

So there are 21 crates, 6 cartons and 5 boxes in the marble factory package.

We have got the required answer here.

3 0

3 years ago