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umka2103 [35]
3 years ago
6

Construct a binomial whose greatest common factor is 2x^3

Mathematics
1 answer:
diamong [38]3 years ago
3 0

Answer: 3

Step-by-step explanation:

Factor each coefficient into primes. Write all variables with exponents in expanded form.

List all factors—matching common factors in a column. In each column, circle the common factors.

Bring down the common factors that all expressions share.

Multiply the factors.

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4 : 13

Step-by-step explanation:

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Simplifying an algebra -3(y+2)
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Answer: -9y


Step-by-step explanation:

Step1: -3 is multiplied by y = -3y

Step 2: -3 multiplied by 2 = -6

Step 3: -3y + -6

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While shopping for school supplies, Ashton buys two 3-rings binders,three packages of pencils, and two erasers. If he pays using
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2. A bank representative studies compound interest, so she can better serve
Kaylis [27]

Answer:

Step-by-step explanation:

Given that a  bank representative studies compound interest, so she can better serve  customers. She analyzes what happens when $2,000 earns interest several  different ways at a rate of 2% for 3 years.

a) the interest if it is computed using simple interest. 12.00

=\frac{2000(3)(12)}{100} \\=720 dollars

b) the interest if it is compounded annually.

=2000(1.12)^3-2000\\= 809.86 dollars

c) the interest if it is compounded semiannually

=2000(1.06)^6 -2000\\= 837.04

d) the interest if it is compounded quarterly.

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e) the interest if it is compounded monthly.

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4 0
3 years ago
A center for medical services reported that there were 295,000 appeals for hospitalization and other services. For this group, 4
pshichka [43]

Answer:

a) 0.0025 = 0.25% probability that none of the appeals will be successful.

b) 0.0207 = 2.07% probability that exactly one of the appeals will be successful.

c) 0.9768 = 97.68% probability that at least two of the appeals will be successful

Step-by-step explanation:

For each appeal, there are only two possible outcomes. Either it is succesful, or it is not. The probability of an appeal being succesful is independent of other appeals, 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.

45% of first-round appeals were successful.

This means that p = 0.45

Suppose 10 first-round appeals have just been received by a Medicare appeals office.

This means that n = 10

(a) Compute the probability that none of the appeals will be successful.

This is P(X = 0).

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

P(X = 0) = C_{10,0}.(0.45)^{0}.(0.55)^{10} = 0.0025

0.0025 = 0.25% probability that none of the appeals will be successful.

(b) Compute the probability that exactly one of the appeals will be successful.

This is P(X = 1).

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

P(X = 1) = C_{10,1}.(0.45)^{1}.(0.55)^{9} = 0.0207

0.0207 = 2.07% probability that exactly one of the appeals will be successful.

(c) What is the probability that at least two of the appeals will be successful

This is P(X \geq 2)

Either less than two appeals are succesful, or at least two are. The sum of the probabilities of these events is decimal 1. So

P(X < 2) + P(X \geq 2) = 1

P(X < 2) = P(X = 0) + P(X = 1) = 0.0025 + 0.0207 = 0.0232

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0232 = 0.9768

0.9768 = 97.68% probability that at least two of the appeals will be successful

6 0
3 years ago
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