Answer:
Step-by-step explanation:
Let the angles be 4x , 5x
4x + 5x = 180 { supplementary}
9x = 180
x = 180/9
x = 20
Larger angle= 5x = 5* 20 = 100
Answer:
the probability that more than 70% of customers in the sample will need additional maintenance is 0.0371
Step-by-step explanation:
From the information given:
we are to determine the probability that more than 70% of customers in the sample will need additional maintenance
In order to achieve that, let X be the random variable that follows a binomial distribution.
Then X
Bin(48, 0.6)
However 70% of 48 samples is
= 0.7 × 48 = 33.6
34
Therefore, the required probability is:
= P(X> 34)



= 0.03709524328
0.0371
Answer: $375
Step-by-step explanation:
Given : The probability of winning $100 : P(100)= 0.25
The probability of winning $200 : P(200)= 0.50
The probability of winning $1000 : P(1000)= 0.25
Now, the the expected value of that lottery ticket is given by :-

Hence, the the expected value of that lottery ticket =$375
Answer:
Elena could tell without finishing by simplifying both sides. The next step would have been 30x +24x = 30x+24. This would have been simplified down to x=1
Step-by-step explanation: