Given:
M is the mid-point of RS
N is the mid-point of ST
MN = 18.4
To find:
The length of RT.
Solution:
The reference image is attached below.
Joining mid-point M and N, we get mid-segment MN.
MN is parallel to RT.
Triangle mid-segment theorem:
If a segments joins the mid point of a two sides of triangle, then the segment is parallel to the third side and is half of that side.
Substitute MN = 18.4
Multiply by 2 on both sides.
The length of RT is 36.8.
Answer:
B) 0.287
Step-by-step explanation:
For each Coffeeton resident, there are only two possible outcomes. Either they recognize the brand name, or they do not. The probability of a resident recognizing the brand name is independent of other residents. 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.
53% recognition rate in the town of Coffeeton.
This means that
Find the probability that exactly 4 of the 7 Coffeeton residents recognize the brand name.
This is P(X = 4) when n = 7. So
So the anwer is:
B) 0.287
