Answer:
D) g(x) = 4x^2 because the given point works when it's plug in the equation.
Step-by-step explanation:
It's a vertical stretch so a>1 for the transformation
Definitely not C, since it's a shrink with 0<a<1.
Plug in the point to see which one works
g(x) = 16x^2
g(1) = 16. A is not right
B is the same thing to A
g(1) = (4*1)^2 = 16. So, B is also not right
For D:
g(1) = 4(1)^2 =4. Point (1,4) that's show on the graph works for this equation.
D is correct
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Problem 1:</u>
A standard deck of cards contains 52 cards, consisting of 13 spades. If you select only one randomly, the probability of that occurring would be 13/52 or 1/4. Since there are only 26 red cards in a standard deck, then the probability of selecting a red card would be 26/52 or 1/2. Because the two events are independent of each other, their probabilities are multiplied. Therefore, the probability of selecting a spade, and then replacing it in hopes of drawing a red card is (1/2)(1/4) = 1/8.
<u>Problem 2:</u>
We are selecting a spade and then another spade while NOT replacing the first spade (remember that these events are independent of each other also). This means that the total card count will change by picking up the second card. Therefore, the probability of selecting a spade, followed by another spade, is (13/52)(12/51) = 156/2652 = 1/17.
<h2>
Answer with explanation:</h2>
Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.
Given : Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive.
Set hypothesis to test :
Sample size : n= 1055
Sample proportion : 
Critical value for 95% confidence : 
Confidence interval : 
Since , Confidence interval does not contain 0.39.
It means we reject the null hypothesis.
We conclude that 95% confidence interval represents evidence that parents' attitudes toward the quality of education have changed.
