Answer:
Probability[Prime number] = 1/3
Step-by-step explanation:
Given:
Total number between 13 to 21;
13, 14, 15, 16, 17, 18, 19, 20, 21
Find:
Probability[Prime number]
Computation;
Total number between 13 to 21 = 9
Total number of prime number;
13, 17 ,19
Total number of prime number = 3
Probability pf event = Number of favorable output / Total output
Probability[Prime number] = Total number of prime number / Total number between 13 to 21
Probability[Prime number] = 3 / 9
Probability[Prime number] = 1/3
Answer:
The most conservative sample size is 2401.
Step-by-step explanation:
We are given the following in the question:
We are not given any approximation of s]ample proportion, thus,

We have to construct a 95% confidence interval.
Margin of error = 2% = 0.02
Formula for margin of error =


Putting values, we get,

Thus, the most conservative sample size is 2401.
Answer:

Step-by-step explanation:

<h3>i) simplify the complex fraction</h3>

<h3>ii) simplify the equation using cross multiplication</h3>


<h3>iii) swap the sides of the equation</h3>

<h3>iv) divide both sides of the equation by -6</h3>


<h3>v) simplify the fraction</h3>

Answer:
5.25 seconds
Step-by-step explanation:
When the ball hits the ground the height is zero
Equate f(t) to zero and solve for t , that is
- 16t² + 84t = 0 ← factor out - 4t from each term
- 4t(4t - 21) = 0
Equate each factor to zero and solve for t
- 4t = 0 ⇒ t = 0
4t - 21 = 0 ⇒ 4t = 21 ⇒ t =
= 5.25
t = 0 is the time when the ball is kicked
t = 5.25 is the time taken for the ball to hit the ground
Answer:
m<3 = 90
C
Step-by-step explanation:
This is a kite. The diagonals intersect each other in such a way that m<1 and m<3 are at right angles. m<3 = 90o