P(heads or tails) = 1 This is because when flipping a coin, there are only two possible answers, either heads ir tails so the probability of getting either one is 100%. However, if you're asking for P(heads) = 1/2, and P(tails)= 1/2.
Answer:
base = 5.6 cm
Step-by-step explanation:
area of a triangle = 1/2 * base * height
area = 5.88 cm²
height = 2.1 cm
5.88 = 1/2 * base * 2.1
5.88 = 1.05 base
5.88 / 1.05 = base
base = 5.6 cm
Answer:
C. Correct
Step-by-step explanation:
The interpretation of a confidence interval of x% is that we are x% that this interval contains the mean of the population.
So, for example, the interpretation of a confidence interval of 95% is that we are 95% that this interval contains the mean of the population.
In this problem, we have that:
Based on the results, a 95% confidence interval for mean number of hours worked was lower bound: 41.5 and upper bound: 45.6.
Also, the following affiration:
(A) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 41.5 hours and 45.6 hours.
This is correct
So, the answer is:
C. Correct
Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750
Correct answer is C)</span>
