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3 years ago

8

You make a scale model of a building using the scale factor 1 in = 10 ft. If the building is 65 feet tall, how tall is the scale

drawing?
3.295 in
10 in
6.59 in
13.18 in

1 answer:

gavmur [86]3 years ago

6 0

Answer:

6.59 inches

Step-by-step explanation:

65/10

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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

What is 13/20 as a part to part ratio

notsponge [240]

65%

Convert fraction (ratio) 13 / 20 Answer: 65%

7 0

3 years ago

The diameter of a circle is 10 in. Find its area in terms of pie.

kumpel [21]

Answer:

The diameter of the circle = 10 cm

The radius of the circle= 10/2= 5 cm

Step-by-step explanation:

Area of the circle = pi r^2

= pi 5^2

=3.14 *25

= 78.5 cm ^2

7 0

3 years ago

Given The following Graph:<br><br> a.)Evaluate f(0). <br> b.) Solve for f(x) = -3

dlinn [17]

Answer:

see explanation

Step-by-step explanation:

a

f(0) means find the value of y when x = 0

That is f(0) = 1 ← the point (0, 1) on the graph

b

When f(x) = - 3 means what are the values of x corresponding to y = - 3

From the graph when y = - 3 there are 2 corresponding values of x, that is

x = - 2 or x = + 2

The solution to f(x) = - 3 is x = ± 2

3 0

3 years ago

Mrs. Williamson had 18 students in her homeroom at the beginning of the school year and 24 students at the end of the year. What

jarptica [38.1K]

Answer:

25%

Step-by-step explanation:

An easy way to figure this out is just by dividing the initial amount of students (18) by the current amount of students (24), and then subtracting 1.

So, 18/24 = 0.75 (aka 75%), and 1 - 0.75 = 0.25 (aka 25%)

7 0

2 years ago