Answer:
x=360 30-40 yrs =288
Step-by-step explanation:
multiple 72 by .05 (36) to find 10 percent, then multiple 80 percent by that number(36) then add both numbers together to get total number of members that month
(72x.05)=36x2+(.80x36)=288
288+72=360
Using the binomial distribution, it is found that there is a 0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.
<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.
Considering that there are 4 questions, and each has 5 choices, the parameters are given as follows:
n = 4, p = 1/5 = 0.2.
The probability that he answers exactly 1 question correctly in the last 4 questions is P(X = 1), hence:


0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
i. RP = 17
ii. RT = 15
iii. RS = 30
Step-by-step explanation:
Given that; QT = 9 and TP = 8.
From the diagram, join R to P. Thus RP = QP (radius of the circle)
RP = QT + TP
= 9 + 8
RP = 17
Applying Pythagoras theorem to triangle TRP;
RT = 
= 
= 
= 15
∴ RT = 15
But, RT = TS = 15.
So that;
RS = 15 + 15
= 30
RS = 30
Therefore; RP = 17, RT = 15 and RS = 30.
Answer:
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Answer:

Step-by-step explanation:
Given

Required
Simpify
The very first step is to take LCM of the given expression

Perform arithmetic operations o the numerator

Divide the numerator and denominator by 2


The expression can't be further simplified;
Hence,
= 