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s2008m [1.1K]
2 years ago
9

The following distribution is not a probability distribution because

Mathematics
1 answer:
olasank [31]2 years ago
4 0

Answer:

C The probability values do not add to 1

Step-by-step explanation:

Given

The above table

Required

Why is it not a probability distribution

In probability, the sum of all probabilities must equal 0.

But in this case:

\sum P(x) \ne 0

Because:

0.08 + 0.23 + 0.44 + 0.12 + 0.24 \ne 0

1.11 \ne 0

Hence:

Option (c) answers this question

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Add 5
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3 years ago
Write an equation of the line that passes through (2, -5) and is parallel to the line 2y = 3x + 10.
Leto [7]

Answer:

Use the given slope and point to substitute into the point-slope formula y−y1=m(x−x1).

Slope-intercept form:

y=3x²+4x−25

Point-slope form:

y+5=(3x+10)⋅(x−2)

Step-by-step explanation:

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3 0
2 years ago
A gardener is planting two types of trees:
lara [203]

It will take exactly 4 years for these trees to be the same height

Step-by-step explanation:

A gardener is planting two types of trees:

  • Type A is 3 feet tall and grows at a rate of 7 inches per year
  • Type B is 5 feet tall and grows at a rate of 1 inches per year

We need to find in how many years it will take for these trees to be the

same height

Assume that it will take x years for these trees to be the same height

The height of a tree = initial height + rate of grow × number of years

Type A:

∵ The initial height = 3 feet

∵ 1 foot = 12 inches

∴ The initial height = 3 × 12 = 36 inches

∵ The rate of grows = 7 inches per year

∵ The number of year = x

∴ h_{A} = 36 + (7) x

∴ h_{A} = 36 + 7 x

Type B:

∵ The initial height = 5 feet

∴ The initial height = 5 × 12 = 60 inches

∵ The rate of grows = 1 inches per year

∵ The number of year = x

∴ h_{B} = 60 + (1) x

∴ h_{B} = 60 + x

Equate h_{A} and h_{B}

∴ 36 + 7 x = 60 + x

- Subtract x from both sides

∴ 36 + 6 x = 60

- Subtract 36 from both sides

∴ 6 x = 24

- Divide both sides by 6

∴ x = 4

∴ The two trees will be in the same height in 4 years

It will take exactly 4 years for these trees to be the same height

Learn more:

You can learn more about the rate in brainly.com/question/10712420

#LearnwithBrainly

3 0
3 years ago
A rectangle has a length at least four more than five times the width. if the perimeter is at least 44 units. find the least pos
Eva8 [605]
The answer is 3 and you get that by using the formula for the area of rectangle, p=2L+2W
44=2(4+5w) + 2w
44=8+10w + 2w
44=8+12w
44-8=8+12w-8
36=12w
36/12=12w/12
3=w
If you plug 3 back into the original formula then you see that it is equal to the perimeter of 44
P=2(4+5w) + 2w
P=2(4+5•3) + 2(3)
P=2(19) +6
P=38+6
P=44
8 0
3 years ago
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