Solve the inequality 5

Cameron has a piece of ribbon he wants to wrap it around the perimeter of a circle

Anit [1.1K]

This is circumference

7 0

4 years ago

A random draw is being designed for 210 participants. A single winner is to be chosen, and all the participants must have an equ

Over [174]

Answer: The correct number of balls is (b) 4.

Step-by-step explanation: Given that a single winner is to be chosen in a random draw designed for 210 participants. Also, there is an equal probability of winning for each participant.

We are using 10 balls, numbered through 0 to 9. We are to find the number of balls which needs to be picked up, regardless of order, so that each of the 210 participants can be assigned a unique set of numbers.

Let 'r' represents the number of balls to be picked up.

Since we are choosing from 10 balls, so we must have

$^{10}C_r=210.$

The value of 'r' can be any one of 0, 1, 2, . . , 10.

Now,

if r = 1, then

$^{10}C_1=\dfrac{10!}{1!(10-1)!}=\dfrac{10!}{1!9!}=\dfrac{10\times 9!}{1\times 9!}=10$

If r = 2, then

$^{10}C_2=\dfrac{10!}{2!(10-2)!}=\dfrac{10!}{2!8!}=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}=45$

If r = 3, then

$^{10}C_3=\dfrac{10!}{3!(10-3)!}=\dfrac{10!}{3!7!}=\dfrac{10\times 9\times 8\times 7!}{3\times 2\times 1\times 7!}=120$

If r = 4, then

$^{10}C_4=\dfrac{10!}{4!(10-4)!}=\dfrac{10!}{4!6!}=\dfrac{10\times 9\times 8\times\times 7\times 6!}{4\times 3\times 2\times 1\times 6!}=210.$

Therefore, we need to pick 4 balls so that each participant can be assigned a unique set of numbers.

Thus, (b) is the correct option.

4 0

4 years ago

Read 2 more answers

A weight is attached by a string to the end of a spring and is thrown upwards while a stopwatch is started at t=0t=0t, equals, 0

Dahasolnce [82]

Answer:

The function is defined as H (t) = 4 cos (2π/5 ( t - 1.5)) + 8

Step-by-step explanation:

Solution

Let the function be a cosine function

H(t) a cos(b(t+c)) + d

Now,

The maximum height,is H max =12

The minimum height , is H min = 4

The amplitude, a is denoted by :

a= H max - H min/2

= 12 - 4/2 = 8/2 = 4

Thus,

The vertical shift , d is given by:

d = H max + H min/2

= 12 + 4 /2 = 16/2 = 8

The period T is given by,

T=6.5-1.5=5

So,

b is given by ,

b= 2π /T = 2π/5

The phase shift , c is given by :

since maximum height occur at 1.5 we get, c=-1.5

Therefore, our function is defined as:

H (t) = 4 cos (2π/5 ( t - 1.5)) + 8

4 0

3 years ago

Do 9/11 and 36/33 form a proportion

satela [25.4K]

Answer:

Nope!

Step-by-step explanation:

No, because 9 x 4 = 36, whereas 11 x 3 = 33.

Hope that helps!

6 0

3 years ago

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Solve for "y" <br>1.2x-4y=28

melamori03 [73]

Y=(1.2x+28)/-4
y=-.3x-7

3 0

3 years ago

Solve the inequality 5 - 4x > -x+8​

Solve the inequality 5 - 4x > -x+8