Answer:
At a certain pizza parlor,36 % of the customers order a pizza containing onions,35 % of the customers order a pizza containing sausage, and 66% order a pizza containing onions or sausage (or both). Find the probability that a customer chosen at random will order a pizza containing both onions and sausage.
Step-by-step explanation:
Hello!
You have the following possible pizza orders:
Onion ⇒ P(on)= 0.36
Sausage ⇒ P(sa)= 0.35
Onions and Sausages ⇒ P(on∪sa)= 0.66
The events "onion" and "sausage" are not mutually exclusive, since you can order a pizza with both toppings.
If two events are not mutually exclusive, you know that:
P(A∪B)= P(A)+P(B)-P(A∩B)
Using the given information you can use that property to calculate the probability of a customer ordering a pizza with onions and sausage:
P(on∪sa)= P(on)+P(sa)-P(on∩sa)
P(on∪sa)+P(on∩sa)= P(on)+P(sa)
P(on∩sa)= P(on)+P(sa)-P(on∪sa)
P(on∩sa)= 0.36+0.35-0.66= 0.05
I hope it helps!
0.4 lbs each.
<h3>Further explanation</h3>
<u>Given:
</u>
- The total weight of 6 pieces of butter and a bag of sugar is 3.8 Ib.
- The weight of the bag of sugar is 1.4 Ib
<u>Question:
</u>
What is the weight of each piece of butter?
<u>The Process:
</u>
The two steps for obtaining the weight of each piece of butter are as follows:
<u>Step-1:</u> the total amount of butter is the total bag of butter and sugar subtracted by the weight of the bag of sugar.
<u>Step-2:</u> the total amount of butter divided by the number of pieces of butter is the the weight of each piece of butter.
Let's also consider the following quick steps.
<u>Quick steps:
</u>
Therefore, the weight of each piece of butter is 0.4 lbs.
<h3>Learn more
</h3>
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Keyword: the total weight, 6 pieces of butter, a bag of sugar is 3.8 Ib, if the weight of the bag of sugar is 1.4 Ib, each piece, subtracted, divide
Answer:
(1,155, 1.545).
Step-by-step explanation:
From Normal distribution tables the z score for 95% CI = 1.96.
Confidence Interval
= 1.35 +/- 1.96 * 0.63/√40
= 1.35 +/- 0.195
= (1,155, 1.545).
Answer:
616 cm²
Step-by-step explanation:
To find the area of a circle you use the formula A = π · r²
So we know that the diameter is 28 cm, to find the radius we would divide this in half, because d = 2r, giving us 14. Now we can do 14² which is 196, and then times that by pi or in this case 22/7.
196 × (22/7) = 616
Since they are congruent, cpctc,
just set the congruent parts equal to each other.
so 2x-20=30
and
15=3y-9
