Step-by-step explanation:
A and B denote the elements that are in both circles (meaning they like both toppings).
As we can see from the diagram, both Maria and Zak like both toppings.
See also attached image.
Answer:
a. The null and alternative hypothesis can be written as:
b. A Type I error is made when a true null hypothesis is rejected. In this case, it would happen if it is concluded that the actual mean outstanding credit card debt of college undergraduate is significantly less than $3173, when in fact it does not.
A Type II error is made when a false null hypothesis is failed to be rejected. In this case, the actual mean outstanding credit card debt of college undergraduate is in fact less than $3173, but the test concludes there is no enough evidence to claim that.
Step-by-step explanation:
We have a prior study of the mean outstanding credit card debt of college undergraduate that states that it was $3173 in 2010.
A researcher believes that this amount has decreased since then.
Then, he has to perform a hypothesis test where the null hypothesis states that the mean is still $3173 and an alternative hypothesis that states that the actual credit card debt is significantly smaller than $3173.
The null and alternative hypothesis can be written as:
Your question is a rather general one. However, it can be said that differentiating the given function of x with respect to x and setting the result = to 0, then solving for x, will produce all values of x where the t. l. is horizontal.
Answer:
Divide 9944 by 12 feet per second
828.666 or 828.7
Step-by-step explanation:
Answer:
(4x-5)(4x+5)
Step-by-step explanation:
16x^2 - 25
Rewriting
(4x)^2 - 5^2
We recognize that this is the difference of squares
a^2 - b^2 = (a-b) (a+b)
(4x)^2 - 5^2 = (4x-5)(4x+5)