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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Sqrt (y^4 * y)
Sqrt y*4 = y^2
y^2 sqrt y
Answer:
x = 3
Step-by-step explanation:
4(2-x)+13=2x+3
distribute the 4.
8 - 4x + 13 = 2x + 3
combine like terms.
21 - 4x = 2x + 3
18 = 6x
divide by 6.
x = 3
check.
4(2 - 3) + 13 = 2(3) + 3
4(-1) + 13 = 6 + 3
-4 + 13 = 9
9 = 9
correct!
Hey there!
-2<3x+1
= 3x + 1 < -2
SUBTRACT 1 to BOTH SIDES
3x + 1 - 1 < -2 + 1
CANCEL out: 1 - 1 because that gives you 0
KEEP: -2 + 1 because that helps you solve for x
-2 + 1 = -3
New EQUATION: 3x > -3
DIVIDE 3 to BOTH SIDES
3x/3 > -3/3
CANCEL out: 3/3 because that gives you 1
KEE3 -3/3 because that helps us compare for x
-3/3 = -1
Answer to the equation: x > -1
OVERALL Answer: x > -1; It is an OPENED circle shaded to the right starting at -1 (Option A.)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.
x^3+5x^2-6x-30
(x^3+5x^2)+(-6x-30)
x^2(x+5)+(-6x-30)
x^2(x+5)-6(x+5)
(x^2-6)(x+5)
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Answer: (x^2-6)(x+5)
