Answer:
The probability the student studies Art and
Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
A = a students studies Art
B= a students studies Biology
The information provided is:
N = 42
n (An B) = 9
n (A' n B) = 10
n (A' n B') =7
Then the number of students who study Art
but not Biology is:
n(An B') = N -n (An B) -n (A' nB) - n (A'n B')
= 42 - 10 - 7 - 9
= 16
The number of students who study Art but
not Biology is 16.
Compute the probability the student studies
Art and Biology as follows:
P(ANB)
n(ANB)
= 0.2143
Thus, the probability the student studies Art
and Biology is 0.2143.
Answer:
6/7 = 66/77
9/11 = 63/77
6/7 is greater than 9/11
Step-by-step explanation:
To give fractions a common denominator you must find the LCM(lowest common multiple) of this two denominators.
So, we have 7 and 11. You must find a multiple 7 and 11 share. This means that the number must be divisible by 7 and 11. The LCM for 7 and 11 is 77.
Now we make both the denominators 77.
Now look at the numerators. Look at 6/7. We multipled 7 by 11 to get 77. Therefore, we must also multiply 6 by 11.
Now we have, 66/77
Do the same with the other fraction but other way around:
11 x 7 so
9 x 7 = 63
So,
63/77
So 6/7 is now 66/77 and 9/11 is now 63/77
Now compare:
66 > 63
66 is bigger so 6/7 is greater.
6/7 is greater than 9/11
Answer:
10.27 feet/sec.
Step-by-step explanation:
The distance traveled by the car, d in feet, is given by the function 
.......... (1), where t is the time in seconds.
So, at t= 2 sec, from equation (1) we get d = 1.1 × 4 = 4.4 feet.
Again, at t = 5 sec, we get d = 1.1 × 32 = 35.2 feet.
Now, average speed of the car from t = 2 sec. to t = 5 sec. will be give by
= 
feet/sec. (Answer)
Answer:
c
Step-by-step explanation:
