Answer:
(a)
(b) 
Step-by-step explanation:
GIVEN: Suppose that two cards are randomly selected from a standard
card deck.
TO FIND: (a) What is the probability that the first card is a club and the second card is a club if the sampling is done without replacement? (b) What is the probability that the first card is a club and the second card is a club if the sampling is done with replacement.
SOLUTION:
(a)
Probability that first card is club 


As sampling is done without replacement.
probability that second card is club 


Probability that first card is club and second card is club 

(b)
Probability that first card is club 


As sampling is done with replacement.
probability that second card is club 


Probability that first card is club and second card is club 

Answer:
On average, cars enter the highway during the first half hour of rush hour at a rate 97 per minute.
Step-by-step explanation:
Given that, the rate R(t) at which cars enter the highway is given the formula

The average rate of car enter the highway during first half hour of rush hour is the average value of R(t) from t=0 to t=30.

![=[100(t-0.0001\frac{t^3}{3})]_0^{30}](https://tex.z-dn.net/?f=%3D%5B100%28t-0.0001%5Cfrac%7Bt%5E3%7D%7B3%7D%29%5D_0%5E%7B30%7D)
![=100[(30-0.0001\frac{30^3}{3})-(0-0.0001\frac{0^3}{3})]](https://tex.z-dn.net/?f=%3D100%5B%2830-0.0001%5Cfrac%7B30%5E3%7D%7B3%7D%29-%280-0.0001%5Cfrac%7B0%5E3%7D%7B3%7D%29%5D)
=2901
The average rate of car is 

=97
On average, cars enter the highway during the first half hour of rush hour at a rate 97 per minute.
Answer:
sorry but I don't understand
Step-by-step explanation:
please forgive me
comment if I am forgiven
The smallest perimeter is 72.44 inches. The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. As much as possible, the sum of the length of the two remaining side must be greater than the other side. Given the side is 30, then the sum of the two remaining sides should be greater than 30 inches.
Answer:
196
Step-by-step explanation:
The discriminant (Δ) is given by:

Where the polynomial is in the form:

In this problem, a = 1, b = 0, and c = -49. Thus, plugging it into the formula:

Thus, the discriminant of x² – 49 = 0 is 196.