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3 years ago

How many different ways can a director select 4 actors from a group of 20 actors?

1 answer:

swat323 years ago

3 0

Number of ways = 20C4
Number of ways = (20 x 19 x 18 x 17) ÷ (4 x 3 x 2 x 1)
Number of ways = 116280 ÷ 24
Number of ways = 4845.

Answer: 4845

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Step-by-step explanation:

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2 years ago

The preimeter of the rectangle is 154 feet.The length of the rectangle is 55 feet.What is the width of the rectangle.

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Answer:

Step-by-step explanation:

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3 years ago

Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7). Which of the following expressions will he us

Alex777 [14]

Answer:

Option (1) is correct.

Barry uses the expression " square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared " to find the distance between point E(3, 1) and point F(4, 7).

Step-by-step explanation:

Given : Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7).

Distance between two points can be calculate using distance formula,

Distance formula states given two points P(a,b) and Q(c,d) the distance between P and Q can be calculated using the given expression ,

$D=\sqrt{(c-a)^2+(d-b)^2}$

Thus, distance between point E(3, 1) and point F(4, 7) can be calculate using above formula as ,

Here, a= 3 , b= 1 , c = 4 and d = 7

$D=\sqrt{(c-a)^2+(d-b)^2}$

Substitute above values, we get,

$D=\sqrt{(4-3)^2+(7-1)^2}$

$D=\sqrt{(1)^2+(6)^2}$

$D=\sqrt{37}$

Thus, Barry uses the expression " square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared " to find the distance between point E(3, 1) and point F(4, 7).

Thus, Option (1) is correct.

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An observation of the Moon was conducted from Friday, November 8, 2013 to Thursday, November 14, 2013. The study of the Moon during this period occurred consistently between the hours of 8 and 9 p.m. EST within the Northern Hemisphere at 37.3346° N, 79.5228° W (Bedford, V.A.). The Moon was noted to be illuminated on the right side and had a dark shadow on the left side indicating a waxing phase. The light region grew over the surface of the Moon with each subsequent night. The first night’s phase was waxing crescent with over 25 percent of the Moon lit up. The next night, the light had grown to cover more of the Moon as it continued through its waxing crescent phase. On November 10th, the Moon exhibited traits of being at first-quarter or half-moon status because at least 50 percent of its surface was illuminated. In the following nights, the Moon displayed characteristics of waxing gibbous as the light continued to grow across the moon’s surface from right to left. The Moon was nearing closer to the full moon phase on November 14th as only a very small dark shadow was visible on the left side.
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