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1 answer:
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Answer:
#9: 1.2
#10: 1.25
Step-by-step explanation:
To find the scale factor of the smaller figure to the larger figure, we're going to be dividing the measurements of corresponding edges.
If you wanted to find the scale factor of the larger figure to the smaller figure, you'd do:
Question #9:
Left edges: ⇒
= 1.2
Bottom edges: ⇒
= 1.2
<em>(You should get the same number as long as the figures are similar.)</em>
<em />
Question #10:
Bottom edges: ⇒
= 1.25
<em>(There are no corresponding edges with measurements that we can compare.)</em>
<em />
~Hope this helps!~
Answer:
0.006% probability that the final vote count is unanimous.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.
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.
Random voting:
So 50% of voting yes, 50% no, so
15 members:
This means that
What is the probability that the final vote count is unanimous?
Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So
In which
So
0.006% probability that the final vote count is unanimous.