Answer: <span>(f/g)(x) = Quantity five x plus three divided by six x minus five.domain {x|x ≠ Five over six. }
Explanation:
1) (f/g)(x) = f(x) / g(x)
2)
f(x) 5x + 3
-------- = ------------
g(x) 6x - 5
3) Since the division by 0 is not defined, the domain is restricted to 6x - 5 ≠ 0.
Therefore you must solve 6x - 5 = 0 to exclude the value of x for which the denominator becomes 0:
6 x - 5 = 0 => 6x = 5 => x = 5 / 6.
So, the domain is all x | x ≠ 5/6.
</span>
7p <span>≥ 40
p </span><span>≥ 5 2/7
There is no such thing as 5 and 2/7 of a friend, so he can buy lunch for 5 people.</span>
Answer:
(I suppose that we want to find the probability of first randomly drawing a red checker and after that randomly drawing a black checker)
We know that we have:
12 red checkers
12 black checkers.
A total of 24 checkers.
All of them are in a bag, and all of them have the same probability of being drawn.
Then the probability of randomly drawing a red checkers is equal to the quotient between the number of red checkers (12) and the total number of checkers (24)
p = 12/24 = 1/2
And the probability of now drawing a black checkers is calculated in the same way, as the quotient between the number of black checkers (12) and the total number of checkers (23 this time, because we have already drawn one)
q = 12/23
The joint probability is equal to the product between the two individual probabilities:
P = p*q = (1/2)*(12/23) = 0.261
T
Answer: here’s a picture that shows step by step
Answer:
Step-by-step explanation:
Confidence intervals are constructed to estimate an unknown parameter of the population. This is usually population mean and sometimes, population standard deviation.
Since we are dealing with proportion, then the sample proportion would be used to determine the population proportion
Therefore, the pieces of information that the surveyor requires in order to construct the confidence interval are
a. the exact size of the sample that is surveyed
b. the proportion of people in the sample with the characteristic
d. the level of confidence desired
In order to solve, the sample, p proportion is determined.
p = number if people in the sample with the characteristic/ number of sample
q = 1 - p
Margin of error = z × √pq/n
Confidence interval = p ± margin of error