Step-by-step explanation:
Let the price of each pounds of bananas be x andthe price of each pounds of grapes be y.
ATQ,
3x+4y = 10.25 ...(1)
2x+2y = 5.5 ..(2)
Multiply equation (2) by 2.
4x+4y = 11 ...(3)
Now, subtract equation (1) from (3).
4x+4y-(3x+4y) = 11-10.25
4x+4y-3x-4y = 0.75
x = 0.75
Put the value of x in equation (2)
2(0.75)+2y = 5.5
1.5+2y = 5.5
2y = 5.5 - 1.5
2y = 4
y = 2
So, there are 0.75 pounds of bananas and 2 pounds of grapes.
Answer:
p + 14 ≤ 50
Step-by-step explanation:
what you pick, p , plus the 14 you have, must be less than the 50 allowed.
Answer:
8.81% probability that the student answers exactly 4 questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of other questions. So we use the binomial probability distribution 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.
A multiple choice exam has ten questions.
This means that 
The probability of answering any question correctly is 0.20.
This means that 
What is the probability that the student answers exactly 4 questions correctly
This is P(X = 4).


8.81% probability that the student answers exactly 4 questions correctly
7•[24/(12-4)]-3
= 7•[24/8] - 3
= 7•[3] - 3
= 21 - 3
= 18
Answer:
r = - 
Step-by-step explanation:
The common ratio r is the ratio between consecutive terms in the sequence.
r =
=
=
=
= - 