Answer:
9
Step-by-step explanation:

Question :
5m^2 - 29m + 20
Steps:
What can u factor to get 20?
you can make 5 and 4 to make 20 so,..
1. Break it into groups
(5m^2 - 4m) + (-25m + 20)
*Factor out m from (5m^2 - 4m) : m(5m - 4)
*Factor out -5 from (-25m + 20) : -5(5m - 4)
2. Then, you can factor out the common term : (5m - 4) because they both have it. And then u would move the m by the -5 so,...
= (5m - 4)(m - 5) <======= <em>Answer</em>
Hope this helped!!!
~Shane
Answer:
a. 19
b. 14
Step-by-step explanation:
From the venn diagram, we see that:
9 children like only Vanilla
7 like vanilla and chocolate
12 like only chocolate, and
2 like neither chocolate nor vanilla
Thus:
a. Number of children that liked Chocolate ice-cream = those that like chocolate only + those that like both chocolate and vanilla = 12 + 7 = 19
19 children like chocolate ice-cream.
b. Number of children who do not like Vanilla ice-cream = those that like chocolate only + those that do not like neither chocolate nor vanilla = 12 + 2 = 14
14 children do not like vanilla ice-cream.
Answer:
3pi
Step-by-step explanation:
First find the area of the entire circle
A = pi r^2
A = pi * 2^2
A = 4 pi
We know that this is 3/4 of a circle so multiply the area by the fraction of the circle
3/4 * 4 pi
3 pi
Answer:
Binomial
There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.
Step-by-step explanation:
For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.
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 combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem
Of the 20 copies, 2 are defective, so
.
What is the probability that you will encounter neither of the defective copies among the 10 you examine?
This is P(X = 0) when
.


There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.