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Dahasolnce [82]
2 years ago
12

Use the number line to solve each problem. What is KL?​

Mathematics
1 answer:
Elina [12.6K]2 years ago
8 0

Answer:

KL is 24

Step-by-step explanation:

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There are three executives in an office, ages 56, 57, and 58. If a 57-year-old executive enters the room, the
vova2212 [387]

Answer:

option (c) The mean age will stay the same but the variance will decrease

Step-by-step explanation:

Case I: For 3 executives of ages 56, 57 and 58

Number of executives, n = 3

Mean = \frac{\textup{56 + 57 + 58 }}{\textup{3}}

or

Mean = 57

Variance = \frac{\sum{(Data - Mean)^2}}{\textup{n-1}}

or

Variance = \frac{(56 - 57)^2+(57-57)^2+(58-57)^2}{\textup{3-1}}

or

Variance = \frac{1+0+1}{\textup{2}}

or

Variance = 1

For Case II: For 4 executives of ages 56, 57, 58 and 57

Number of executives, n = 4

Mean = \frac{\textup{56 + 57 + 58 + 57 }}{\textup{4}}

or

Mean = 57

Variance = \frac{\sum{(Data - Mean)^2}}{\textup{n-1}}

or

Variance = \frac{(56 - 57)^2+(57-57)^2+(58-57)^2+(57-57)^2}{\textup{4-1}}

or

Variance = \frac{1+0+1+0}{\textup{3}}

or

Variance = 0.67

Hence,

Mean will remain the same and the variance will decrease

Hence,

The correct answer is option (c) The mean age will stay the same but the variance will decrease

3 0
3 years ago
You make an initial investment of $500. Fill in the table below to show how much money you would have after 3 years if your acco
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P=500
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n= 1 since it is compounded annually
t= 3
Hope this helped.
3 0
3 years ago
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