Answer:
A) Not mutually exclusive
Step-by-step explanation:
Given



Required
Determine if they are mutually exclusive or not
Mutually exclusive are defined by:

So, we have:

Take LCM


By comparing:
---- Calculated
---- Given
We can conclude that A and B are not mutually exclusive because:

Answer:
Between 12.614 years and 16.386 years
Step-by-step explanation:
Given that:
Mean age (μ) = 14.5 years, standard deviation (σ) = 4.6 years, number o sample (n) and the confidence interval (c) = 90% = 0,9
α = 1 -c = 1 -0.9 = 0.1

The z score of
is the same as the z score of 0.45 (0.5 - 0.05). This can be gotten from the probability distribution table. Therefore:

The margin of error (e) =
= 
The interval = μ ± e = 14.5 ± 1.886 = (12.614 ,16.386)
First slot, 11 options
2nd is 10 (1 less than 1st slot)
3rd is 9
4th is 8
11*10*9*8=7920 different pizzas (assuming you can't order all 1 topping)
Answer:
-1.5f - 17
Step-by-step explanation:
-2.3f + 0.8f - 12 - 5
= -1.5f - 17