Answer:
28.26
Step-by-step explanation:
A = pi radius squared
A = 3.14 x 9
A= 28.26
Answer: The probability in (b) has higher probability than the probability in (a).
Explanation:
Since we're computing for the probability of the sample mean, we consider the z-score and the standard deviation of the sampling distribution. Recall that the standard deviation of the sampling distribution approximately the quotient of the population standard deviation and the square root of the sample size.
So, if the sample size higher, the standard deviation of the sampling distribution is lower. Since the sample size in (b) is higher, the standard deviation of the sampling distribution in (b) is lower.
Moreover, since the mean of the sampling distribution is the same as the population mean, the lower the standard deviation, the wider the range of z-scores. Because the standard deviation in (b) is lower, it has a wider range of z-scores.
Note that in a normal distribution, if the probability has wider range of z-scores, it has a higher probability. Therefore, the probability in (b) has higher probability than the probability in (a) because it has wider range of z-scores than the probability in (a).
3=1 the statement is false
Answer:
A: second one or middle choice
B: (5x + 8)(3x - 2)
Step-by-step explanation:
First question (A)
It is a trinomial. You can't use the difference of squares on it. The difference of squares have two terms as an answer.
It is not a perfect square. 15 is not a perfect square and c would have to be positive not minus to even think about using a perfect square.
So the A answer is the second one. You need two different binomials to factor this.
Second Question
You could try all the possible pairings and solve them by brute force.
The are five choices the go with the first one (3x + 4). Eventually you would get the answer, you would have to try 5 + 4 + 3 + 2 + 1 = 15 attempts.
There must be a shorter way.
14 means that the expressions are fairly far apart. This was just luck on my part. There is no logic. 8 and 2 for 16 are fairly far apart.
(5x + 8)(3x - 2)
The middle term is 8*3x - 2*5x = 14x and that looks like the answer.
