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svetlana [45]
3 years ago
6

3x-7=4x+10 show the steps pleeease

Mathematics
2 answers:
aleksandrvk [35]3 years ago
5 0
3x-7=4x+10
(get numbers on one side terms on the other)

3x=4x+17

-1x=17
(divide the -1 out)

x=-17
Fudgin [204]3 years ago
3 0

Answer:

-17

Step-by-step explanation:

3x-7=4x+10

Add 7 to both sides & simplify

3x-7=4x+10

+7           +7

3x=4x+17

Subtract 4x from both sides & simplify

3x=4x+17

-4x  -4x

-x=17

*Negative x equals -1*

Divide both sides by -1 & simplify

\frac{-x}{-1} =\frac{-17}{-1}

x=-17

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Philip ran out of time while taking a multiple-choice test and plans to guess the last 4 questions. Each question has 5 possible
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Using the binomial distribution, it is found that there is a 0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

Considering that there are 4 questions, and each has 5 choices, the parameters are given as follows:

n = 4, p = 1/5 = 0.2.

The probability that he answers exactly 1 question correctly in the last 4 questions is P(X = 1), hence:

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

P(X = 1) = C_{4,1}.(0.2)^{1}.(0.8)^{3} = 0.4096

0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

More can be learned about the binomial distribution at brainly.com/question/24863377

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8 0
2 years ago
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blondinia [14]
I believe the answer is segment FD
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Answer:

A: constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZX

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Step-by-step explanation:

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∵ AB ≅ XY , BC ≅ YZ , CA ≅ ZX

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