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Rudik [331]
3 years ago
10

In a group of twelve people, four had been selected for a transfer. If two of the twelve are selected, what is the probability t

hat both of those selected are selected for a
transfer?
Mathematics
1 answer:
rusak2 [61]3 years ago
3 0

Answer:

1/11

Step-by-step explanation:

The probability the first person has been selected for transfer is 4/12.

The probability the second person has been selected for transfer is 3/11.

So the probability of both is 4/12 × 3/11 = 1/11.

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The figure below shows a tent with wires attached to help stabilize it. The length of each wire is 8 feet greater than the dista
Anestetic [448]

Answer:

The length of 2 wires are 13 feet and 12 feet [i don't know if the 3rd side is a wire, if so, the length is 5 feet]

Step-by-step explanation:

<em>The image of the tent is attached.</em>

<em />

As we can see, it creates a right triangle with "x+8" side being the hypotenuse of the triangle.

The pythagorean theorem tells us:

Hypotenuse^2 = Leg^2 + Leg^2

THe hypotenuse is "x+8", the two legs are "x" and "x+7" respectively. Let's solve for x:

(x+8)^2=(x+7)^2+x^2

We expand and solve for x:

(x+8)^2=(x+7)^2+x^2\\x^2+16x+64=x^2+14x+49+x^2\\x^2+16x+64=2x^2+14x+49\\x^2-2x-15=0\\(x-5)(x+3)=0\\x=5,-3

Length can't be negative, so x = 5.

Hence, the 3 sides of the triangle are:

x = 5

x + 8 = 13

x + 7 = 12

The length of 2 wires are 13 feet and 12 feet

8 0
3 years ago
Work out the volume of the cone giving your answer to 3 significant figures 7cm 24cm 25cm
denis-greek [22]

Answer:

1231.50432021 cm³

Step-by-step explanation:

Use the formula:

\frac{1}{3} \pi  r^{2} h

And replace known values:

\frac{1}{3} \pi (7^{2})(24)

Aaaand simplify:

\frac{1}{3}*1176 \pi

Which gives approximately:

1231.50432021

And don't forget to put the unit (cm³)!

6 0
3 years ago
Read 2 more answers
What is the equation of the line with a slope of -1/2 that passes through the point (6,-6)?
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7 0
3 years ago
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Consider the line 6x-5y=5. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this
olga2289 [7]
Ok the the slope of the parallel line will be the same. The slope for the perpendicular line will be the negative reciprocal;

parallel line slope: 6/5

perpendicular line slope: - 5/6 

If correct brainliest  please

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3 years ago
A cylinder has a diameter of 10 inches and a height of 18 inches what is the volume of the cylinder
Yuliya22 [10]

Answer:

1413.72

Step-by-step explanation:

Please mark brainlest

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2 years ago
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