Simplify (6 + i)(8 − 3i).

I need help figuring this out asap please

Vera_Pavlovna [14]

Answer:

38.13 ft squared

Step-by-step explanation:

Since it is half of a circle we first find the area of a normal circle then divide by two.

So to find the area of a circle it is pi times radius squared which in this case it would be 3.14 times 9 = 28.26

Then since it is a half circle we divide by two so

28.26/2 = 14.13

Then to find the area of the triangle we do 4 times 6 which is 24.

now we add the two which is 14.13 + 24 which is

38.13

4 0

3 years ago

A group of students was discussing the meaning of this statement. They were arguing back and forward about whether the converse

Savatey [412]

Answer:

The statement is missing. The statement is -- "A ray can be part of a line."

The answer is : The converse is not true, so Jahmiah is correct.

Step-by-step explanation:

A conditional statement is represented by showing p → q. It means if p is correct or true, then q is also correct or true.

And the converse of p → q can be shown as q → p.

But we know that the converse of a statement is not always true, it may be true and may not be true.

In the context, the statement is " a ray can be a part of a line." And so the converse would be "A line can be a part of the ray".

So by definition we know that a line is continuous line having no end points, it extends in one direction. While a ray starts from a point and extends to infinity in one direction.

Thus ray is part of line but line is not a part of the ray. So the converse of the statement is not correct.

Hence, Jahmiah is correct.

6 0

3 years ago

Find the indicated side of the<br> right triangle.<br> 45°<br> y<br> 6<br> 45°

Pavlova-9 [17]

Answer:

6

Step-by-step explanation:

tan 45 = 6 / x

1 = 6 / x

x = 6

Note :

Tan 45 value = 1

7 0

3 years ago

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A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly

earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

A survey showed that 77% of us need correction, hence p = 0.77.

13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

$P(X \geq 12) = P(X = 12) + P(X = 13)$

In which:

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

$P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299$

$P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334$

Then:

$P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163$

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0

2 years ago

Julia has 14 pounds of nuts .there are 16 ounces in one pound. how mant ounces of nuts does she have

SSSSS [86.1K]

There are 14 pounds of nuts, and each are 16 ounces.

14*16 = ?

14*16 = 224

Final answer: She has a total of 224 ounces of nuts.

8 0

3 years ago

Read 2 more answers