Answer:
The domain of the function will be {x I x ≠ 13}.
Step-by-step explanation:
The two functions f(x) and g(x) are given to be
f(x) = x + 7 and
Now, we have to find the composite function (fog)(x).
Here, (fog)(x) = f{g(x)}
⇒ 
Therefore, the denominator of the function can not be zero and the domain of the function will be {x I x ≠ 13}. (Answer)
Answer:
a) 51.4
b) answer attached
c) 48.59% female
Step-by-step explanation:
a) Male driver = 100-48.6 = 51.4%
b) answer attached below
c) probability that out of 20-64 group a randomly selected sample is female
( 39.54 ÷ 81.36 ) x 100
= 48.59% chance of her being a female
<u><em>Answers:</em></u>
(2,1)
(1,3)
<u><em>Explanation:</em></u>
Assume that the number of hot dogs is x and the number of water bottles is y.
<u>We are given that:</u>
1- cost of hot dog is $4
2- cost of water is $2
3- total profit was less than $12
<u>This means that:</u>
4x + 2y < 12
<u>We will check the options that satisfy the above inequality:</u>
<u>Option 1: (-1,5):</u>
This option is rejected as we cannot sell -1 hot dog
<u>Option 2: (0,6):</u>
4x + 2y = 4(0) + 2(6) = 12
12 is not less than 12
This option is incorrect
<u>Option 3: (2,1):</u>
4x + 2y = 4(2) + 2(1) = 8 + 2 = 10
10 is less than 12
This option is correct
<u>Option 4: (1,1.5):</u>
This option is incorrect as we cannot sell 1.5 bottle of water
<u>Option 5: (1,3):</u>
4x + 2y = 4(1) + 2(3) = 4 + 6 = 10
10 is less than 12
This option is correct
<u>Option 6: (2,2):</u>
4x + 2y = 4(2) + 2(2) = 8 + 4 = 12
12 is not less than 12
This option is incorrect
Hope this helps :)
Answer:
40%
Step-by-step explanation:
From the given statements:
The probability that it rains on Saturday is 25%.
P(Sunday)=25%=0.25
Given that it rains on Saturday, the probability that it rains on Sunday is 50%.
P(Sunday|Saturday)=50%=0.5
Given that it does not rain on Saturday, the probability that it rains on Sunday is 25%.
P(Sunday|No Rain on Saturday)=25%=0.25
We are to determine the probability that it rained on Saturday given that it rained on Sunday, P(Saturday|Sunday).
P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75
Using Bayes Theorem for conditional probability:
P(Saturday|Sunday)=
=
=0.4
There is a 40% probability that it rained on Saturday given that it rains on Sunday.
