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3 years ago

Which comparison of the two equations is accurate?

Mathematics

2 answers:

LekaFEV [45]3 years ago

5 0

Answer: C, Both equations have the same potential solutions, but equation A might have extraneous solutions.

Step-by-step explanation:

Mandarinka [93]3 years ago

3 0

Answer:

Both equations have the same potential solutions, but equation A might have extraneous solutions.

Step-by-step explanation:

EDGE

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In Leakwater township, there are two plumbers. On a particular day three Leakwater residents call village plumbers independently

Marianna [84]

Answer:

25% probability that all three residents will choose the same plumbe

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. 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.

Each resident randomly chooses one of the two plumbers.

This means that $p = \frac{1}{2} = 0.5$

Three residents:

This means that $n = 3$

What is the probability that all three residents will choose the same plumb

This is P(X = 0)(all choose the second pumble) or P(X = 3)(all choose the first pumble). So

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

$P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125$

$P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125$

$p = P(X = 0) + P(X = 3) = 2*0.125 = 0.25$

25% probability that all three residents will choose the same plumbe

4 0

2 years ago

It takes a hose 4 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, and 14 inches tall. How long will it take

Masja [62]

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5 0

2 years ago

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What is two ways to rewrite 21x^2 -42x +14 in equvalent form? i really need help here lol-

kozerog [31]

Answer:

7(3x^2-6x+2)

Step-by-step explanation:

21, 42, 14 they can be divided by 7 so we put 7 out

5 0

2 years ago

Ethan borrowed $2,190 for a new dirt bike. He will pay the money back in 3 years with a simple interest rate of 2.5%. How much i

Taya2010 [7]

Answer:

<h2>The interest ethan will pay is $164.25</h2>

Step-by-step explanation:

To calculate the interest paid by ethan on the borrowed bike using the formula.

Simple Interest = Principal * rate * time/100

Principal = $2,190, rate = 2.5%, time = 3years

On substitution

SI = $\frac{2190*3*2.5}{100}$

$SI = \frac{16,425}{100}\\ SI= $164.25$

The interest ethan will pay is $164.25

3 0

3 years ago

4.8a - 6.3b - 2.1a + 7b

ololo11 [35]

First, you combine like terms. I would start by circling the term and the sign in front of it. (A term is a piece separated by an addition/subtraction sign.) You can only combine terms with the same variable. 4.8a-2.1a-6.3b+7b is the same as your equation, just rearranged. Then, subtract (4.8a-2.1a) which is 2.7a. Add (-6.3b to 7b) The answer is 0.7b. If you have any questions, you can message me!

5 0

3 years ago

Read 2 more answers