Answer:
Rate of change: 4/3
Step-by-step explanation:
Number of sodas/Total cost
pick a number
24/18 = 4/3
If the question is 6x-30, then the answer is 6(x-5)
Have a great day ^_^
Area of a trapezoid: 1/2(a + b)*h, where a and b are the lengths of the two bases of a trapezoid and h is the height.
Plug 22 and 44 for a and b, respectively. Plug 15 for h.
1/2(22 + 44)*15
1/2(66)*15
1/2(990) = 495
b) 495 in²
We don't know what the exact p-value is, but we are told that it's as large as 0.005 which is smaller than alpha = 0.05
Since the p-value is smaller than alpha, this means we <u>reject the null hypothesis</u>.
The way you can remember this is "if the p-value is low, then the null must go". By "low", I mean "smaller than alpha".
Recall that the p-value is the probability of observing that specific test statistic, or larger. So the chances of chi-squared being 18.68 or larger is a probability between 0.0025 and 0.005; there's a very small chance of this happening. The p-value is based entirely on the assumption that the null is correct. But if the null is correct, then the chances of landing on this are very small. We have a contradiction that basically leads to us concluding the null must not be the case. It's not 100% guaranteed of course, but it's fairly strong evidence.
In short, the p-value being smaller than alpha = 0.05 means we reject the null.
In order to accept the null, the p-value must be 0.05 or larger.
