I believe the correct answer is A. 0.87
On any given day, the probability that a person chosen at random will visit either Willow Creek or Two Harbors is <span>0.87
How did I get this?
62% = 0.62 73% = 0.73 48% = 0.48
( 0.62 + 0.73 ) - 0.48
*Sorry had to correct it I did the math again and got 0.87*</span>
Answer:
The answers to your questions are:
a) x = 14
b) x = 25
Step-by-step explanation:
a) (7x -1) + (6x -1) = 180
7x -1 + 6x -1 = 180
7x + 6x = 180 + 1 +1
13x = 182
x = 182/13
x = 14
b) 5x +4 = 8x - 71
8x - 71 = 5x + 4
8x - 5x = 71 + 4
3 x = 75
x = 75 / 3
x = 25
Answer:
a) Permutation, because the coach has to designate an order in which they will take penalty
b) There are 55,440 different ways for the coach to do this.
Step-by-step explanation:
It the order is not important, we have a combination.
If the order is important, we have a permutation.
In this question:
5 players from a set of 11 and designate an order.
This means that the order is important, and we have a permutation.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
![P_{(n,x)} = \frac{n!}{(n-x)!}](https://tex.z-dn.net/?f=P_%7B%28n%2Cx%29%7D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-x%29%21%7D)
(a) Is this a permutation or a combination? Why?
Permutation, because the coach has to designate an order in which they will take penalty
(b) How many different ways are there for the coach to do this?
![P_{(11,5)} = \frac{11!}{(11-5)!} = 55440](https://tex.z-dn.net/?f=P_%7B%2811%2C5%29%7D%20%3D%20%5Cfrac%7B11%21%7D%7B%2811-5%29%21%7D%20%3D%2055440)
There are 55,440 different ways for the coach to do this.
Answer:
Step-by-step explanation:
f(x) = (x + 2)(x +6)
1) The function is positive for all real values of x where x > –4 :
COUNTER-EXAMPLE : x = - 3 you have -3>-4 but (-3+2)(-3+6) = -1 ×3 =-3 no positive .
2) The function is positive for all real values of x where
x < –6 or x > –3.
COUNTER-EXAMPLE : x = - 2.5 you have -2.5>-3 but (-2.5+2)(-2.5+6) = -0.5 ×3.5 =-1.75 no positive .
same method for the statement : "The function is negative for all real values of x where
x < –2."
conclusion : statement about the function is true: "The function is negative for all real values of x where
–6 < x < –2."
.