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3 years ago

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Brad says that if the second number is 125%of the first number then the first number must be 74%of the second number is he corre

ct

1 answer:

vaieri [72.5K]3 years ago

5 1

Dulu xhzuzrtizzistmYersuussutitzHezy

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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

Cuanto tiempo pasa de las 9:15 a las 10:30?

lisov135 [29]

Answer:

1 hour and 15 minutes

Step-by-step explanation:

5 0

3 years ago

(66 x 10) - (9.9 x 104)

Sidana [21]

66x10=660

9.9x104=1029.6

660-1029.6=-369.6

3 0

3 years ago

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Which statement is true about the extreme value of the given quadratic equation?

ICE Princess25 [194]

Answer:

Option B. The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

The correct quadratic equation is

$y=-3x^{2}+12x-33$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

Convert to vertex form

Factor -3

$y=-3(x^{2}-4x)-33$

Complete the square

$y=-3(x^{2}-4x+2^2)-33+12$

$y=-3(x^{2}-4x+4)-21$

Rewrite as perfect squares

$y=-3(x-2)^{2}-21$

The vertex is the point (2,-21)

therefore

The equation has a maximum value with a y-coordinate of -21

3 0

3 years ago

Solve the equation 8x-4=x+10

ahrayia [7]

Answer:

8x-4=x+10

8x-x = 10+4

7x = 14

x= 14/7

x= 2

<h2>HOPE IT HELPED U ...</h2>

8 0

3 years ago

Read 2 more answers