Answer:
We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:
Step-by-step explanation:
Notation
represent the sample mean
represent the standard deviation for the population
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:
Answer: 14 cars
Step-by-step explanation: x-7+6=13
X-1=13, x=14
Answer: 1,2,3 becuase they are all equivalent its just logic when you think abt it
Step-by-step explanation: 4 makes no sense
Answer:
Graph 'B' represents the correct graph.
The correct graph is attached below.
Step-by-step explanation:
Let 'A' be the point:
Let 'B' be the point:
As point A(-1 1/2, 1/2) can be written as:
so plotting the point 
and 
on a .
- As we know that the 2nd quadrant, in the upper left-hand corner, consists of negative values of x and positive values of y.
Thus, the point A(-1.5, 0.5) will be plotted in the 2nd quadrant at x = -1.5 and y=0.5
i.e. at x= -1.5, y = 0.5
- As we know that the 4th quadrant, the lower left-hand corner, consists of positive values of x and negative values of y.
Point B(1.5, -0.5) will be plotted in the 4th quadrant at x = 1.5 and y = -0.5
i.e. at x= 1.5, y = -0.5
Thus, graph 'B' represents the correct graph.
The correct graph is attached below.
Answer:
Option D.
Step-by-step explanation:
Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).
Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.
Therefore, x = ![\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B4m%2Bn%28-4%29%5D%7D%7Bm%2Bn%7D%3D%5Cfrac%7B8-24%7D%7B2%2B6%7D)
= -
= -2
and y = ![\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B7m%2Bn%28-9%29%5D%7D%7Bm%2Bn%7D%3D%5Cfrac%7B14-54%7D%7B2%2B6%7D)
= 
= -5
Therefore, the point (x, y) is (-2, -5).
Option D. will be the answer.
