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Artemon [7]
3 years ago
9

Xander spends most of his time with his 10 closest friends. He has known 4 of his 10 friends since kindergarten. If he is going

to see a movie tonight with 3 of his 10 closest friends, what is the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not?
StartFraction 1 over 30 EndFraction
StartFraction 9 over 125 EndFraction
StartFraction 12 over 125 EndFraction
StartFraction 1 over 10 EndFraction
Mathematics
2 answers:
Tju [1.3M]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Kryger [21]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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A 4-centimeter rod is attached at one end A to a point on a wheel of radius 2 cm. The other end B is free to move back and forth
zloy xaker [14]

Answer:

Step-by-step explanation:

The triangle that was formed has radius 2:

hypotenuse = 2

adjacent = x = 2*cosθ

opposite = y = 2*sinθ

from the first picture on the left, we see that the rod has length of 4.

We then use pythagoras theorem with respect to the triangle formed with the rod, i.e, the opposite leg, and the length of the remaining side (say, L), we have:

2²sin²θ +L² = 4²

On rearranging and making L subject of formula, we have

L = √(16 - 4sin²θ)

or

L = 2√(4 - sin²θ)

Also, the distance of point B is from the center of the circle, and it is:

2cosθ + 2√(4 - sin²θ)

We know that

3.5 revolutions per second means 3.5(2π) per second.

or

7π radians per second

So we try to write the angle formed as:

θ = 7π*t

where t is the time in seconds.

(a)

2cos(7πt) + 2√(4 - sin²(7πt))

at t = 1/21 we substitute for t, and then

2cos(π/3) + 2√(4 - sin²(π/3))

= 1 + √13 or approximately 4.6

(b)

(c)

B = 2cos(7πt) + 2√(4 - sin²(7πt))

dB/dt = - 14πsin(7πt) - { 14π*cos(7πt)sin(7πt)/√(4 - sin²(7πt)) }

4 0
2 years ago
Use compatible numbers to estimate the quotient <br> 546÷6
snow_tiger [21]

Answer:

Well alright already 546 divided by 6 is

is 91 just by evaluate Hope this helps :)

Step-by-step explanation:


6 0
3 years ago
Edwerd deposited ​$10,000 into a savings account 4 years ago. The simple interest rate is 2​%. How much money did edwerd earn in
Ivan

Answer:

Interest = $10000 x 0.02 x 4 = $800

4 0
3 years ago
Solve for x: 2x/5=12/8
Anika [276]

Answer:

x = 3\frac{3}{4}

Step-by-step explanation:

First, you have to leave 2x by itself on the left side of the equation:

2x = 60/8

Then divide,

x = 15/4

Simplified fraction: x = 3\frac{3}{4}

5 0
3 years ago
Read 2 more answers
What is the absolute value of 25? |25| = ?
Kryger [21]

Answer:

25, -25

Step-by-step explanation:

This is the answer. It's simple. Just think of the two lines next to the number and that can be -25 and 25.

3 0
3 years ago
Read 2 more answers
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