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:
% change in stopping distance = 7.34 %
Step-by-step explanation:
The stooping distance is given by
We will approximate this distance using the relation
dx = 26 - 25 = 1
T' = 2.5 + x
Therefore
This is the stopping distance at x = 25
Put x = 25 in above equation
2.5 × (25) + 0.5× 
+ 2.5 + 25 = 402.5 ft
Stopping distance at x = 25
T(25) = 2.5 × (25) + 0.5 ×
T(25) = 375 ft
Therefore approximate change in stopping distance = 402.5 - 375 = 27.5 ft
% change in stopping distance = 
× 100
% change in stopping distance = 7.34 %
Answer:
about 48.6%
Step-by-step explanation:
20 women's shoes are athletic.
35 women's shoes are formal.
52 women's shoes are casual.
The total number of women's shoes is 107. So the probability that a randomly selected one is casual is:
P = 52/107
P ≈ 48.6%
Answer:
96 meters
Step-by-step explanation:
Volume means length x width x height and since it has already found the length and width, you multiply that by 4. So, 24 x 4 = 96
27 = 9^x-1
3^3 = 9^x-1
3^3 = 3^2(x-1)
3 = 2 (x-1)
1.5 = x-1
x = 2.5
