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Vinvika [58]
3 years ago
5

If I have 3 integers that are greater than -5, and less than or equal to 3. The median is -1, no Mode and range is 5, the mean i

s 0. Give the set of 3 numbers.
Mathematics
1 answer:
Fudgin [204]3 years ago
5 0

Answer:

{-2, -1 , 3}

Step-by-step explanation:

When we have a set like:

{x₁, x₂, x₃}

The mode is the value that appears the most, so if there is no mode, then each value appears just one time.

The median is the middle value, here we know that the median is -1, then we can rewrite the set as:

{x₁, -1 , x₃}

The mean is computed as:

Mean = (x₁ + x₂ + x₃)/3

in this case we know that the mean is 0, then:

0 =  (x₁ + x₂ + x₃)/3

then the numerator must be zero, so:

0 =  (x₁ + x₂ + x₃)

replacing the value of x₂ = -1 we get:

0 = (x₁ - 1 + x₃)

where:

-5 < x₁ < -1 < x₃ ≤ 3

Now we can select the values of x₁ and x₃ such that the sum is equal to zero, and it meets the wanted restrictions.

here we can choose x₃ to be equal to 3 (the maximum allowed value), I do this because I noticed that the other values that are larger than -1 will not work (just with quick math).

then:

0 = x₁ - 1 + 3

Now we can solve this for x₁

0 = x₁ + 2

-2 = x₁

Then the set is:

{-2, -1 , 3}

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Find the area ratio of a cube with volume 125 m to a cube with volume 64 m.
Viefleur [7K]
V=s^3
SA=6s^2
so

125=v
125=s^3
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5 0
3 years ago
Read 2 more answers
Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a corn crop has an infestation
KatRina [158]

Answer:

The probability that a corn crop has either an ear worm infestation, a corn borer infestation

P(EUB) = 0.27

Step-by-step explanation:

<u>Explanation</u>:-

<u>Addition theorem on probability</u>:-

If S is a sample space, and E , F are any events in S then

P(EUF) = P(E) +P(F) -P(E n F)

Let 'E' be the event that a corn crop has an infestation of ear worms

let 'B' be the event that a corn crop has an infestation of corn bores

P(EUB) = P(E) +P(B) -P(E n B)

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P(EUB) = 0.24 + 0.16 - 0.13

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P(EUB)=0.27

7 0
3 years ago
the area of rectangular park is 3/5 square mile, the length of the park is 7/8 mile,what is the width of the park
Luba_88 [7]
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8 0
3 years ago
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