Answer:
Step-by-step explanation:
Let
x ----> the length of Zach's car
y ----> the length of Ginny's car
we know that
The sum of the lengths of both cars is 30 inches
so
----> equation A
Ginny's car is 2 more than 3 times the length of Zach's car
so
----> equation B
substitute equation B in equation A
Answer:
Step-by-step explanation:
Fixed monthly fee = $20
Amount charged per minute for long distance calls = $0.20
denotes total cost such that 
minutes are used for long distance calls.
Amount charged for minutes for long distance calls 
Therefore, an equation for the total cost, C, when N minutes are used for long distance calls is
Answer:
= 9
Step-by-step explanation:
Given that,
Asn expression :
We need to evaluate the above expression.
We know that, 
So,
or
So, the value of is 9. Hence, the correct option is (b).
Answer:
<h2>290359.166667</h2>
Step-by-step explanation:
17,421,55/6=290359.166667
Answer:
0.0143
Step-by-step explanation:
In this question, we are asked to use the binomial distribution to calculate the probability that 10 or fewer passengers from a sample of MIT data project sample were on American airline flights.
We proceed as follows;
The probability that a passenger was an American flight is 15.5%= 15.55/100 = 0.155
Let’s call this probability p
The probability that he/she isn’t on the flight, let’s call this q
q =1 - p= 0.845
Sample size, n = 155
P(X < A) = P(Z < (A - mean)/standard deviation)
Mean = np
= 125 x 0.155
= 19.375
Standard deviation = √npq
= √ (125 x 0.155x 0.845)
= 4.0462
P(10 or fewer passengers were on American Airline flights) = P(X \leq 10)
= P(Z < (10.5 - 19.375)/4.0462)
= P(Z < -2.19)
= 0.0143
