Answer:
0.18 ; 0.1875 ; No
Step-by-step explanation:
Let:
Person making the order = P
Other person = O
Gift wrapping = w
P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10
What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?
Using the relation :
P(W|O) = P(WnO) / P(O)
P(WnO) = P(W|O) * P(O)
P(WnO) = 0.60 * 0.3 = 0.18
b. What is the probability that a randomly selected order will be gift wrapped?
P(W) = P(W|O) * P(O) + P(W|P) * P(P)
P(W) = (0.60 * 0.3) + (0.1 * 0.7)
P(W) = 0.18 + 0.07
P(W) = 0.1875
c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically
No.
For independent events the occurrence of A does not impact the occurrence if the other.
The next 5 terms are 165, 200, 235, 270, 305
Answer:
g(-3) = 23
Step-by-step explanation:
This question is telling us that x = -3. Knowing this, we can plug x into the equation and solve to find g(-3).

Square -3 to get 9
Multiply 9 by 3 to get 27
Subtract 4 from 27 to get 23
Thus, g(-3) is equal to 23.
I hope this helps! Good luck!
Answer:
8.94 (Rounded would be 9)
Step-by-step explanation:
By using the Pythagorean Theorem formula,
A^2+B^2 = C^2
You have the hypotenuse (c) = 12
and you have a leg (a) = 8
and you're trying to find another leg (b) = x
In order to find this, you'll have to change up the formula in order to find (B) instead of (C)
B^2 = C^2 - A^2
(B) = (12)^2 - (8)^2
(B) = 144 - 64
(B) = 80
Square root of 80
B = 8.9