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elena55 [62]
3 years ago
7

Write a numerical expression that matches the phrase: 8 more than the product of 3 and 2.

Mathematics
1 answer:
eduard3 years ago
4 0

Answer:

8+3(2)

Step-by-step explanation:

8 more than indicates addition, so that makes the first part of the expression 8+.

The product of 3 and 2 indicates multiplication, since product means the result of multiplication. That finishes the expression with 3(2).

In conclusion, a numerical expression that matches the states phrase is 8+3(2). You can also do 8+3×2 too, as they equal the same thing.

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Use the ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second.
Vanyuwa [196]

The quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

<h3>How to determine the quotient and remainder when the first polynomial is divided by the second?</h3>

The polynomials are given as:

-4w^3 + 5w^2 - 8, w - 3

Set the divisor to 0.

So, we have

w - 3 = 0

Add 3 to both sides

w = 3

Substitute w = 3 in -4w^3 + 5w^2 - 8 to determine the remainder

-4(3)^3 + 5(3)^2 - 8

Evaluate the expression

-71

This means that the remainder when -4w^3 + 5w^2 - 8 is divided by w - 3 is -71

The quotient (Q) is calculated as follows:

Q = [-4w^3 + 5w^2 - 8]/[w - 3]

The numerator can be expressed as follows:

Numerator = -4w^3 + 5w^2 - 8

Subtract the remainder.

So, we have:

Numerator = -4w^3 + 5w^2 - 8 + 71

This gives

Numerator = -4w^3 + 5w^2 + 61

So, the quotient becomes

Q = [-4w^3 + 5w^2 + 61]/[w - 3]

Expand

Q = [(w - 3)(-4w^2 - 7w - 21)]/[w - 3]

Evaluate

Q = -4w^2 - 7w - 21

Hence, the quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

6 0
2 years ago
A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele
liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. 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.

5% of Americans are afraid of being alone in a house at night.

This means that p = 0.05

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

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

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0
3 years ago
Which one is more <br> –3\5 or –2/3<br> Please help
Kaylis [27]

Answer:

-3/5

Step-by-step explanation:

the smaller negative is still greater, because its negative.

4 0
3 years ago
Read 2 more answers
josh and his friends are going to the carnival. hot dogs cost $1.50 each and drinks are $0.75 each. they have a total of $12 to
Art [367]
They could have 10 hotdogs which equals $7.50 and 3 drinks which equals $4.50. $7.50+$4.50 = $12
5 0
4 years ago
If the train that Megan is riding covers 180 miles in 3 hours, how fast is the train traveling?
Anettt [7]

Answer:

60 mph

Step-by-step explanation:

3 0
3 years ago
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