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IgorLugansk [536]
3 years ago
10

(06.04 MC)

Mathematics
1 answer:
ratelena [41]3 years ago
7 0

Answer:

54 sq units

Step-by-step explanation:

The triangle at the top (FAB) has a base of 10 and a height of 3. Area of triangle is 1/2bh so 1/2(10 * 3) = 1/2 * 30 = 15 sq units

If you cut off the triangle you have a trapezoid, EBCD. A trapezoid is (b1 + b2)/2 * h, so (6 + 7)/2 * 6 = 13/2 * 6 = 6.5 * 6 = 39 sq units

Add them together: 15 + 39 = 54 sq units

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A study of the career paths of hotel general managers sent questionnaires to an SRS of 160 hotels belonging to major U.S. hotel
otez555 [7]

Answer:

(10.78483, 12.61517)

Step-by-step explanation:

It is given that the genera mangers of few hotels were sent some questionnaires for conducting a study for the career paths in the major hotel chains of the United States.

Number of hotels = 160

Number of response received = 103

The average number of years these general mangers was in their current hotels, $\bar x$ = 11.7 years

Confidence Interval, CI = 0.99

Therefore,

a = 0.01, |Z(0.005)|  (from standard normal table)

∴ 99% of CI =  $\bar x \pm Z \times \frac{s}{\sqrt n}$

                   $= 11.7 \pm 2.58 \times \frac{3.6}{\sqrt {103}}$

                    $(10.78483, 12.61517)$

3 0
3 years ago
a segment has and endpoint at (-6, 8). The midpoint is at (-6, 2). What are the coordinates of the other endpoint?
Montano1993 [528]

Answer:

(-6,-4)

Step-by-step explanation:

The first endpoint of the line is (-6,8), we can call

x_1 = -6

and

y_1 = 8

Let the last endpoint have coordinates (x_2,y_2)

Also, the midpoint formula is:

(x_1+x_2)/2 , (y_1+y_2)/2

Now, plugging these values is the formula, we get:

(-6+x_2)/2 = -6

-6+x_2=-12

x_2=-12+6 = -6

x_2 = -6

Also

(8+y_2)/2=2

8+y_2=4

y_2=4-8=-4

y_2 = -4

The coordinates of the other endpoint is (-6,-4)

8 0
3 years ago
How do I subtract 4m^2 + 2mn + 8n^2 from 2m^2 + 6mn + 2n^2 ?
SVETLANKA909090 [29]
-2m^2+4mn-6n^2

1) Let's write out both expressions subtracting 4m²+2mn+8n² from 2m²+6mn+2n²

\begin{gathered} 2m^{2}+6mn+2n^{2}-(4m^{2}+2mn+8n^2)_{} \\ 2m^2+6mn+2n^2-4m^2-2mn-8n^2 \\ -2m^2+4mn-6n^2 \end{gathered}

2) Note that when we subtract 4m^2 + 2mn + 8n^2 from 2m^2 + 6mn + 2n^2 we need to swap the sign by placing -1 outside the parentheses and then combine like terms adding those terms algebraically.

4 0
1 year ago
Write the numbers 3 2 and 8 in an addition swntence
Korvikt [17]
Ella has 3 apples. brad has 2 apples. sarah has 8 apples. how many apples do they have altogether?

7 0
3 years ago
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Two cats, Fluffy and Fireball, met in the park. Fluffy's tail is 1/3​​, of a meter long. Fireball's tail is 1/4 of a meter long.
Lunna [17]
1/3 - 1/4 = 4/12 - 3/12 = 1/12....Fluffy's tail is 1/12 meters longer then Fireball's tail
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