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3 years ago

The sum of three consecutive odd integers is 36. Please help me with that.

Mathematics

1 answer:

storchak [24]3 years ago

6 0

Answer:

11, 12, 13

Step-by-step explanation:

n, n + 1, n+2

sum is 36

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A rectangular painting measures 12 inches by 14 inches and contains a frame of uniform width around the four edges the perimeter

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Answer: 6in width

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3 years ago

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7x +4 what property is it

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Answer:

commutative property of multiplication

Step-by-step explanation:

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3 years ago

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4),

hammer [34]

Answer:

3 points

Step-by-step explanation:

A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).

So the relation can be represented with points (x, y), which means that point x is being mapped into point y.

Such that the needed condition is that each element of the domain is mapped into only one element in the domain.

So for example, if for a relationship we have the points (a, b) and (a, c)

The point a is being mapped into two different outputs.

Now let's go to our problem, we have the points:

(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)

If we have repeated inputs, we need to remove points until we have one of each.

We can see that the inputs -3, 1, and 2 are repeated one time.

Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:

(-3, 2), (1, 4), and (2, -4)

This is a function.

Then we need to remove 3 points.

7 0

3 years ago

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If records indicate that 15 houses out of 1000 are expected to be damaged by fire in any year, what is the probability that a wo

nordsb [41]

Answer: 0.01708

Step-by-step explanation:

Given : If records indicate that 15 houses out of 1000 are expected to be damaged by fire in any year.

i.e. the probability that house damaged buy fire in a year : $p=\dfrac{15}{1000}=0.015$

The formula for binomial distribution is given by :-

$^{n}C_xp^x(1-p)^{n-x}$

Now, the probability that a woman who owns 14 houses will have fire damage in 2 of them in a year (put n=14 and x=2), we get

$^{14}C_2(0.015)^2(1-0.015)^{14-2}\\\\=\dfrac{14!}{2!(14-2)!}(0.015)^2(0.985)^{12}\\\\=0.0170788520518\approx0.01708$

Hence, the required probability = 0.01708

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3 years ago

Explain why P(A|D) and P(D|A) from the table below are not equal.

REY [17]

Answer:

Step-by-step explanation:

Recall the definition for conditional probability.

We have P(A/D) = P(A and D)/P(D)

P(AD) = 2/17

P(A) = 8/17 and P(D) = 10/17

From the definition of conditional probability,

P(A/D) = P(AD)/P(D) = 2/17 divided by 10/17 = 1/5

But P(D/A) = P(AD)/P(A) = 2/17 divided by 8/17 = 1/4

Hence the two are not equal.

This is because there is a difference in the denominators

5 0

3 years ago

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