Answer:
Yes
Step-by-step explanation:
Because it is 12 <u><em>below</em></u> 0, it is a negative number.(-12)
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).
Unit rate means one. So the best way to solve this is using a proportion over one. If there are 258 pencils in 3 purses 258/3 then how many are in one purses x/1. Cross multiply next.
258/3 * x/1. You get 3x and 258. To get the x alone, divide both sides by three. Your answer is 86 pencils in one purse.
The slope of the line that passes through the points (2,5) and (-1,5) is 0: it is an horizontal line, because both points have the same y-coordinate. The equation of the line is y=5.
For any two points (x1,y1), (x2,y2), the slope, m, of the line that passes through them can be calculated with:
where
represent the increment on the y direction and the increment on the x direction, respectively.
This comes from the definition of "slope": the slope of a line tells you how much does the line grow in the vertical direction for every unit of advance in the x direction.
If you apply the formula to the points given, you get
.
