I recommend using a calculator, but working out the problem manually is alright too. Be sure to check your answer to make sure it's correct by looking over your work or by multiplying two of the numbers to see if it equals the third. The answer is about .92.
The factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression will be solved as:-
f(x) = x³ + 10x² + 31x + 30
f(x) = ( x³ + 7x² + 10x + 3x² + 21x + 30
f(x) = ( x² + 7x + 10 ) ( (x + 3 )
f(x) = ( x²+ 5x + 2x + 10 ) ( x + 3 )
f(x) =[ x ( x+ 5 ) +2 ( x+ 5) ] ( x + 3 )
f(x) = ( x + 5 ) ( x + 2 ) ( x + 3 )
Therefore factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).
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(I'm going to use brackets as my absolute value bars lol)
[5 x -3]
[-15]
=15
Answer:
Probability that the calculator works properly for 74 months or more is 0.04 or 4%.
Step-by-step explanation:
We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.
Firstly, Let X = life span of a calculator
The z score probability distribution for is given by;
Z =
~ N(0,1)
where,
= population mean = 60 months
= standard deviation = 8 months
Probability that the calculator works properly for 74 months or more is given by = P(X
74 months)
P(X
74) = P(
) = P(Z
1.75) = 1 - P(Z < 1.75)
= 1 - 0.95994 = 0.04
Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.
A. 3/2
b.0.5
c.you have to add them