Answer:
The probability that the cost is kept within budget or the campaign will increase sales is 0.88
Step-by-step explanation:
The probability that the cost is kept within budget (event A) <u>or</u> the campaign will increase sales (event B) is the <u>union</u> of the probability of those two events. By basic properties of probability, this is:
P(A ∪ B) = P(A) + P (B) - P(A ∩ B)
and for independent events:
P(A ∩ B) = P(A) * P(B)
So:
P(A ∪ B) = 0.80 + 0.40 - (0.80*0.40) = 1.20 - 0.32 = 0.88
Answer:
Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis?
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and incresaes into quadrant 1. It goes through the y-axis at (0, 0.25) and goes through (1, 2).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It crosses the y-axis at (0, 0.25) and goes through (negative 1, 2).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.25) and goes through (1, negative 2).
On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25).Step-by-step explanation:
The answer is m=5 and m=-2. There is no extraneous solution for this equation.
Answer:
Step-by-step explanation:
Given is the sequence 3, 8, 13, 18, 23, ….:
We find that this is a geometric sequence with each term added with 5 to the previous term
Hence recursive formula is ![a_n =a_{n-1} +5](https://tex.z-dn.net/?f=a_n%20%3Da_%7Bn-1%7D%20%2B5)
Non recursive formula:
![a_n =a_{n-1} +5=a_{n-2} +2(5)\\=a_{n-3} +3(5)-...\\=a_{n-(n-1)} +5(n-1)\\=a_1+(n-1)5\\=3+5n-5\\=5n-2](https://tex.z-dn.net/?f=a_n%20%3Da_%7Bn-1%7D%20%2B5%3Da_%7Bn-2%7D%20%2B2%285%29%5C%5C%3Da_%7Bn-3%7D%20%2B3%285%29-...%5C%5C%3Da_%7Bn-%28n-1%29%7D%20%2B5%28n-1%29%5C%5C%3Da_1%2B%28n-1%295%5C%5C%3D3%2B5n-5%5C%5C%3D5n-2)
iii) Start with 3.
Add 5 and write as 2nd term
Take the resulting term and add 5 and mark as 3rd term
Repeat this m times.