Answer:
a(5
b)30
Step-by-step explanation:
in the first one you divide 25 by 5
in the second one you multiply 6 times 5
Answer:
240°
Step-by-step explanation:
Draw a line EF perpendicular to AB and CD passing through M
In △BME
∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)
∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘
In △DMF
∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )
∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘
x=∠DMF+∠BME+∠EMF
x=15∘+45∘+180∘x=240∘
Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- There are 6 students, hence n = 6.
- There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.
The probability of one quote being chosen at least two times is given by:

In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:



Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at brainly.com/question/24863377