The first graph because its decreasing
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

The value of 'r' can be any one of 0, 1, 2, . . , 10.
Now,
if r = 1, then

If r = 2, then

If r = 3, then

If r = 4, then

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.
Answer:
im pretty sure the distance is across the y and x axis
Step-by-step explanation:
<u>Given</u>:
Given that RST is a right triangle.
The measure of ∠R is 35°.
The length of ST is 12 units.
The length of the hypotenuse is t units.
We need to determine the value of t.
<u>Value of t:</u>
The value of t can be determined using the trigonometric ratio.
Thus, we have;

where
, the side opposite to ∠R is ST and hypotenuse is SR.
Substituting these values, we get;

Substituting ST = 12 and SR = t, we get;

Simplifying, we get;



Thus, the value of t is 20.9 units.
Answer:
lol
Step-by-step explanation: