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AlladinOne [14]
3 years ago
8

If the first and third of three consecutive even integers are added, the result is 22 less than three times the second integer.

Find the integers
Mathematics
1 answer:
icang [17]3 years ago
4 0

Three consecutive even integers are 20, 22 and 24

<em><u>Explanation</u></em>

Suppose, the three consecutive even integers are  n, n+2 and n+4

Given that, sum of first and third integers is 22 less than 3 times the second integer. So, the equation will be....

n+(n+4)= 3(n+2)-22\\ \\ 2n+4=3n+6-22\\ \\ 2n-3n=6-22-4\\ \\ -n=-20 \\ \\ n=20

So, the first integer is 20, the second integer is (20+2)= 22 and the third integer is (20+4)= 24

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Reil [10]

9514 1404 393

Answer:

  (3)  y = (x -3)²

Step-by-step explanation:

Try the first value of x in each function:

  (1)  y = 3² -3 ≠ 0

  (2)  y = (3 +3)² ≠ 0

  (3)  y = (3 -3)² = 0 . . . . . . matches the table value for f(3)

  (4)  y = 3² +3 ≠ 0

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The only viable choice is (3).

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Midtown antiques has found that sales has decreased 6% from last year. Sales this year are $144,974 find the amount of last year
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8698 is the answer to this question
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3 years ago
What is the LCD of 5/42 and 7/30
weqwewe [10]
<span>The lowest common denominator of 5/42 and 7/30 is 210.</span>
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3 years ago
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t
nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. 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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that p = 0.2

Suppose that sixteen adults in the United States are selected randomly.

This means that n = 16

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

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

P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281

P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126

P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111

P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

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3 years ago
Solve for pizza in the pie chart!
solniwko [45]

Answer:

24

Step-by-step explanation:

30% of the pie chart is pizza. 30% of 80 = 0.3 * 80 = 24

6 0
2 years ago
Read 2 more answers
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