86 is 45% of what number

Answers

Answer 1

Answer: To get the answer we can use proportion
86 --------------45%
x ---------------- 100%
Now cross multiply
x*45%=86*100
45x=8600 /:45 (divide both sides by 45)
x=191.11 - its the answer

Answer 2

Answer: The best thing to do is to find 1%, and you can do this by diving 86 by 45. 86/45= 1.9111, and you've then got to multiply this by 100, and this gives you 191.11Hope this helps :)

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Given that x+1 is a factor of 3x³-14x²-7x+d, show that d= 10

Answers

Answer:

3x³ - 14x² - 7x + d = (x + 1)(ax² + bx + c)

--------------------------

(x + 1)(ax² + bx + c)

= ax³ + bx² + cx + ax² + bx + c

= ax³ + (a + b)x² + (b + c)x + c

--------------------------

ax³ + (a + b)x² + (b + c)x + c = 3x³ - 14x² - 7x + d

=> a = 3

a + b = -14

b + c = -7

c = d

=> a = 3, b = -17, c = 10, d = 10

Which of the following statements best defines independent events?A.

Two events are independent events if it is impossible for the two events to occur simultaneously.

B.

Two events are independent events if the occurrence of one event has no effect on the probability of the other.

C.

Two events are independent events if the intersection between the sample spaces of the two events is not empty.

D.

Two events are independent events if the union of the sample spaces of the two events is not empty.

Answers

I would say B, because one event should not have any effect on any other event if it was a independent event.

B. is the correct answer

Step-by-step explanation:

Two events are independent events if the occurrence of one event has no effect on the probability of the other. This is a true statement. Everything else is false.

Hope I helped!

The product of 5 more than p and 7?

Answers

If you would like to solve the following expression, you can do this using these steps:

the product of 5 more than p and 7:
5 more than p ... p + 5
the product ... *
(p + 5) * 7 = 7 * p + 7 * 5 = 7 * p + 35

The correct result would be 7 * p + 35.

The product of 5 more than p and 7 can be expressed algebraically as (5 + p) * 7.

This can also be expressed as 35 + 7p or 7p + 35.

The regular price of an item is $65. The item is on sale with a discount of $8.What is the discount rate

Answers

The discount rate is the discount amount ($8) divided by the regular price, as a percentage.65/8=8.125 rounded to 8 so 8%.

Jean Marie has $4,000 in the bank, $500 worth of credit card debt and a $15,000 student loan. Jean Marie would like to know her net worth. She finds the difference between her assets, $4,500, and her liabilities, $15,000, and determines her net worth is -$10,500. Evaluate Jean Marie's determination.- Her calculations are correct.
- She counted a liability as an asset.
- She counted an asset at a liability.
- Her answer should be positive.

Answers

4,000 in bank -500 and 15000 so she had -20000 +4000 so it equals -16000

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate. What is the probability that the pianist will be a boy and the alternate will be a girl? Express your answer as a percent.

Answers

Answer: The probability that he pianist will be a boy and the alternate will be a girl is 30%.

Explanation:

Since we have given that

Number of boys are auditioning to play the piano for a school production = 2

Number of girls are auditioning to play the piano for a school production = 3

Total number of candidates is given by

$2+3=5$

Now,

Let Event A denotes pianist will be a boy.

Let Event B denotes alternate will be girl.

Since Event A and B are independent events so,

$P(\text{ A and B})=P(A)* P(B)$

So,

Probability that the pianist will be a boy and the alternate will be a girl is given by

$(2)/(5)* (3)/(4)\n\n=(6)/(20)=(3)/(10)$

Now, we have to change it into percent ,

$(3)/(10)* 100=3* 10=30\%$

Hence ,the probability that he pianist will be a boy and the alternate will be a girl is 30%.

The probability helps us to know the chances of an event occurring. The probability that the pianist will be a boy and the alternate will be a girl is 0.3.

What is Probability?

The probability helps us to know the chances of an event occurring.

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

As there are 2 boys and 3 girls. And out of this total of 5 people, we need to know the probability of a boy being selected first. Therefore, the probability can be written as,

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

$\rm Probability=\frac{\text{Number of boys}}{\text{Number of people}} = (2)/(5)$

Now since one boy is already selected the number of choices will reduce to 4, therefore, the probability of selecting a girl next can be written as,

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

$\rm Probability=\frac{\text{Number of girls}}{\text{Number of people}} = (3)/(4)$

Thus, the probability that the pianist will be a boy and the alternate will be a girl can be written as,

$\rm Probability=\frac25 * \frac34 = (3)/(10) = 0.3$

Hence, the probability that the pianist will be a boy and the alternate will be a girl is 0.3.

Learn more about Probability:

brainly.com/question/795909

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