4. What is the domain? Explain.

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

Fernando loves to make music playlists. He likes to keep the same ratio of country songs to rock songs. On his summer playlist,

Ede4ka [16]

Answer:

There are 6 rock songs on Fernando's road trip playlist.

Step-by-step explanation:

Given that he keeps the ratio same

This means that the ratios for both summer playlist and trip playlist will be the same

Let

c1 be the country songs in summer playlist

r1 be the rock songs in trip playlist

Similarly,

c2,r2 will be the country and rock songs in trip playlist

Both will be equal so

$\frac{c_1}{r_1} = \frac{c_2}{r_2}$

Putting the values

$\frac{100}{24} = \frac{25}{r_2}\\100r_2 = 25*24\\100r_2 = 600r_2 = \frac{600}{100}\\r_2 = 6$

Hence,

There are 6 rock songs on Fernando's road trip playlist.

3 0

3 years ago

Draw a pair of supplementary adjacent angles. One of the angles should have a measure of 85 degrees. How should the supplementar

Orlov [11]

Supplementary adjacent angles form a "linear pair." Together, they make a line. The angle supplementary to 85° will be slightly obtuse, just as 85° is slightly acute.

4 0

3 years ago

Which of these sets of angle measures could be the three angles in a triangle?

Lady_Fox [76]

Answer:

Okay so this is simple addition, once you know how to do it.

The interior angles of a triangle should always add up to 180 Degrees.

Now that you know this, all you have to do is add the numbers together and see which ones add up to 180 degrees.

A. - 90+42+58=190

B. - 60+60+60=180

C. - 100+48+42=190

D. - 31+75+70=176

Out of these choices the only one that adds up to 180 is B. So your answer would be B.

Read more on Brainly.com - brainly.com/question/2547568#readmore

Step-by-step explanation:

7 0

3 years ago

I need help with this

WITCHER [35]

Answer:

8.1

Step-by-step explanation:

8.1 is the highest as you would look at the first number before the decimal and is the highest in this equation.

3 0

3 years ago

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4. What is the domain? Explain. ​

4. What is the domain? Explain.