Using the binomial distribution, it is found that there is a 0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
Considering that there are 4 questions, and each has 5 choices, the parameters are given as follows:
n = 4, p = 1/5 = 0.2.
The probability that he answers exactly 1 question correctly in the last 4 questions is P(X = 1), hence:


0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
for the 1st one the answer is x= 3 y=1 and the second one is x= 5 and y = 3 and 1/3
Step-by-step explanation: so basically for the first one -5 times x which is 3 is -15 right? and then 5 times y which is 1 is 5 right so -15 plus 5 = -10
second one is x = 5 and y = 3 and 1/3 because 5*x which is 5 is = to 15 right? and then 3 times y which is equal to 3 and 1/3 is equal to 10 which when you do 15-10 in pretty sure it equals 5 correct me if im wrong
Hope this helps xD ;)
Answer:
<h2>Amanda needs 72 grams of paint</h2>
Step-by-step explanation:
Notice that she already painted one face of each cube, that is, 8 faces in total, and she used 24 grams for that.
Now, there remain 3 faces per cube to be painted, which means there are 24 faces.
Then, we use the rule of three, if she used 24 grams of paint for 8 faces, how much grams of paint she would need to paint 24 faces?

Therefore, Amanda needs 72 grams of paint for the unpainted surfaces.
In order to solve for a, we must isolate it. To do this, we should add c to both sides, making a the only term on the left.
Final answer: a=c+d-r
V = a²h/3
Plugging values in we get 8.67X10^7, or 86,700,000