Answer: 4 science questions and 5 math questions
<u>Step-by-step explanation:</u>
To guess, you know that no matter how many 10 point questions you answer, the result will end in a zero. The number given is 85 so find a number you can multiply by 9 that ends in a 5. Answer: 9(5) = 45
The remaining points (40) are divisible by 10.
40 ÷ 10 = 4
Check: 5 (9-point questions) + 4 (10-point questions) = 9 total questions
45 points + 40 points = 85 points
Note that this problem can be solved mathematically by setting up a system of equations:
Points: 9x + 10y = 85
Quantity: x + y = 9
Answer:
Step-by-step explanation:
The domain is the set of numbers for which a functipn is defined and a gtaph exist. In this case the domain begins at -2 and ends at 1.
"All real numbers greater than or equal to -2 but less than 1."
Suppose the student guesses the answers, we shall consider this a binomial probability problem of success. This implies that getting a question right is p=1/5.
The number of questions is n=20 questions.
The mean of binomial distribution is
mean=n*p= 20*1/5=4
b] The standard deviation of a binomial distribution is given by:
σ=√(n*p*(1-p))
=√(20*0.2*0.8)
=1.79~1.8
Answer:
μ=4 ; σ=1.8
Answer:
It is a right triangle.
Step-by-step explanation:
By the Inverse Pythagoras Theorem if 39^2 = 36^2 + 15^2 then it is a right triangle.
39^2 = 1521
36^2 + 15^2 = 1296 + 225 = 1521.
So it is a right triangle.
