In a class of 30 students, 19 are studying French (F), 12 are studying Spanish (S) and 7 are studying both French and Spanish. H
1 answer:
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Answer:
2670 square feet. Option e.
Step-by-step explanation:
Dan and Betty can paint 2,400 square feet in 4 hours.
They can paint in one hour = 600 square feet.
Since given that Betty paints twice as fast as Dan. Let us take an equation:
Let Betty = B, Dan = D and Sue = S
B = 2D
4(B+D) = 2400
4B + 4D = 2400
12D = 2400
D = 200 sq. ft.
B = 2D = 400 sq. ft.
Therefore, Dan can paint 200 square feet in 1 hour and Betty paints twice 400 square feet in 1 hour.
Now given three of them can paint 3,600 square feet in 3 hours.
3( B+D+S) = 3600
3B + 3D + 3S = 3600
3(400) + 3(200) + 3(S) = 3600
1200 + 600 + 3S = 3600
S = 600 Sq. ft.
Sue can paint 600 square feet in one hour.
So sue can paint in 4 hours and 27 minutes.
× 600
= 2670 square feet. Option e.
Answer:
0.82 = 82% probability that at least one party will not order drinks
Step-by-step explanation:
For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal.
This means that
During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?
6 parties, so n = 6.
Either all parties will order drinks, or at least one will not. The sum of the probabilities of these events is decimal 1. So
We want P(X < 6). So
In which
0.82 = 82% probability that at least one party will not order drinks