Y=mx+b where m=slope=(dy/dx) and b=y-intercept (value of y when x=0)
You have two points...(1,-2),(3,2) so
m=(y2-y1)/(x2-x1)=(2--2)/(3-1)
m=4/2=2 now that you have the slope...
y=2x+b, you can use either point to solve for the y-intercept, I'll use (3,2)
2=2(3)+b
2=6+b
b=-4 so the line is:
y=2x-4
Answer:
Larger sample size gives less std error and hence test statistic is larger.
Step-by-step explanation:
Given that a newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of n registered voters and determine X = the number of voters that will vote for the Democratic candidate. Is there evidence that a clear majority of the population will vote for the Democratic candidate
Group I II
Success 640 64
Total 1200 120
p 0.533333333 0.533333333
q 0.466666667 0.466666667
se 0.014401646 0.045542003
p diff 0.033333333 0.033333333
Z 2.314550249 0.731925055
p 0.01 0.233
we find that though p is the same, std error is very small for larger sample size thus making z statistic much bigger. So we get p value less than 0.05 whereas for 120 sample size, std error is large so Z statistic is small thus making p value to accept null hypothesis
Answer:
165 is greater than or equal to 17.75x+5.25; 9 is greater than or equal to x
Step-by-step explanation:
The problem states that they have no more than $165. This means that they either use all the money, or they have leftover money, which means you need to use the 'greater than or equal to' sign. It says that tickets are $17.75 a person, and we're trying to find the number of people (x). You can write this as 17.75x. There is also a parking fee to add on to the equation, which is represented as +5.25. Now, we can solve!
I'm going to use an equal sign to replace the inequality symbol, but make sure to add the symbol at the end of the problem.
165=17.75x+5.25
159.75=17.75x
9=x
Our final answer is 9 is greater than or equal to x. Hope this helps!
Answer:
15% tax
Step-by-step explanation:
Answer:
-4, -3, -2, -1, 0
Step-by-step:
1st: 1/4(-8) - 2 = -4 = y
2nd: 1/4(-4) - 2 = -3 = y
3rd: 1/4(0) - 2 = -2 = y
4th: 1/4(4) - 2 = -1 = y
5th: 1/4(8) - 2 = 0 = y
