Answer:
Michaela's dinner was $30
Step-by-step explanation:
In order to find this, we write the following equation.
(40 + x)*.15 = 10.50
In this equation, x represents the cost of Michaela's dinner. The 40 would be Mike's dinner and we need to multiply that by the tip rate to find the tip of 10.50. Now we can solve for x.
(40 + x)*.15 = 10.50
40 + x = 70
x = 30
Answer:
D. Testing the null hypothesis that the mean difference equals 0 is not equivalent to determining whether the confidence interval includes 0
Step-by-step explanation:
Dependent samples are samples that are related to one another.
In a hypothesis test, the hypothesis test and the confidence interval are equivalent in the sense that they result in the same conclusion.
However, in an hypothesis test , we fail to reject the null hypothesis if the rejection region is greater than the t-test statistics. It is therefore crucial to understand that if the true mean is zero. the confidence interval level for the mean of differences within the lower limit and the upper limits must contain zero , which implies the mean difference and the confidence interval are equivalent.
Answer:
Domain: real numbers
Range: 0 < f(x) < ∞
y-intercept: 1
Asymptote: A horizontal asymptote of y = 0
Answer:
see below
Step-by-step explanation:
If we let X represent the number of bagels produced, and Y the number of croissants, then we want ...
(a) Max Profit = 20X +30Y
(b) Subject to ...
6X +3Y ≤ 6600 . . . . . . available flour
X + Y ≤ 1400 . . . . . . . . available yeast
2X +4Y ≤ 4800 . . . . . . available sugar
_____
Production of 400 bagels and 1000 croissants will produce a maximum profit of $380.
__
In the attached graph, we have shaded the areas that are NOT part of the solution set. (X and Y less than 0 are also not part of the solution set, but are left unshaded.) This approach can sometimes make the solution space easier to understand, since it is white.
The vertex of the solution space that moves the profit function farthest from the origin is the one we are seeking. The point that does that is (X, Y) = (400, 1000).
Let the positive odd numbers be x,x+2,x+4.
According to the question,
5(3x+30)=72+x^2+4x
x^2-13x+42=0
(x-6) and (x-7)=0
x=6 or x=7
