Answer:
A. =4x3+9x2−25x+12
Step-by-step explanation:
(x+4)(4x−3)(x−1)
=((x+4)(4x−3))(x+−1)
=((x+4)(4x−3))(x)+((x+4)(4x−3))(−1)
=4x3+13x2−12x−4x2−13x+12
=4x3+9x2−25x+12
Answer:
There is a 24.3% probability that one of the calculators will be defective.
Step-by-step explanation:
For each calculator, there are only two possible outcomes. Either it is defective, or it is not. So we use the binomial probability distribution to solve this problem.
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.
The probability of a defective calculator is 10 percent.
This means that 
If 3 calculators are selected at random, what is the probability that one of the calculators will be defective
This is P(X = 1) when n = 3. So


There is a 24.3% probability that one of the calculators will be defective.
Answer:
Look down
Step-by-step explanation:
9. x = 1 or 2 or x < 3
10. x ≤ 6
11. x < 4
12. x ≥ -6
13. x > 15
14. x ≤ -30
15. x < -48
16. x < 1
Answer:
7
Step-by-step explanation:
The range is the difference between the largest and smallest values in the data set, thus
range = 9 - 2 = 7
Answer:
11.5 square units
Step-by-step explanation:
It’s a 4 by 6 rectangle, so the total is 24. Then subtract the three little triangles on the outside. (Much easier than doing the main triangle).
1/2x1x4=2
1/2x1x6=3
1/2x3x5=7.5
2+3+7.5=12.5
24-12.5=11.5