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3 years ago

How many terms are in the polynomial abcd + e - fg + h^2

Mathematics

2 answers:

NikAS [45]3 years ago

8 0

This has four terms.

Paladinen [302]3 years ago

4 0

The polynomial abcd + e - fg + h2 has four terms.

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1. In a class there are 40 students. 90% of them take exams; 3/4 of those who took the exam passed. How many students graduated?

Tpy6a [65]

Answer:

A. 27

Step-by-step explanation:

There are 40 students and 90% of them take exams

(40 students) * (0.9) = 36 students took exams

Of those 36 students, 75% (or 3/4) of them passed. Assuming passing exams means graduating:

(36 students) * (0.75 ) = 27 students graduated

6 0

3 years ago

Mrs. Cho has 24 students in her class. Some of her students are also in the play. Explain why it is not possible for exactly 24%

lora16 [44]

Let's start by calculating how many students does 24% represent.
24% * 24 = 0.24 * 24 = 5.76
We got a decimal number as solution. The reason why exactly 24% students can't be in the play is because this percentage does not represent whole number of students. She can't take 0.76 students

If she wanted 25% students to be in a play it would mean she has to take:
25% * 24 = 0.25 *24 = 6 students

3 0

3 years ago

The number of minutes Pam talked on the phone was 35, 40, 12, 16, What was the average time Pam was on the phone

Fudgin [204]

Answer:

Step-by-step explanation:

(35 + 40 + 12 + 16) : 4

= (75 + 28) : 4

= 103 : 4

= 25,75

8 0

3 years ago

Sara is building a triangular pen for her pet rabbit. If two of the sides measure 8 feet and 15 feet, what could the length of t

Aleks04 [339]

As the pen is a triangle, the third side can either be the hypotenuse or a regular side. If the third side is the hypotenuse, it's length would be $l= \sqrt{8^2+15^2} = \sqrt{64+225} = \sqrt{289} =17$ feet. If the third side is a regular side, than it would be $l= \sqrt{15^2-8^2} = \sqrt{225-64} = \sqrt{161}$ ≈12.689 feet. This means your third side can either be 17 feet long or 12.689 feet long.

7 0

3 years ago

1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a t

antiseptic1488 [7]

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used 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.

A certain performer has an independent .04 probability of a crash in each race.

This means that $p = 0.04$

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

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

When $n = 30$

We have that:

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

$P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061$

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

7 0

3 years ago