Answer:
perpendicular
Step-by-step explanation:
start but putting each line into the standard line format
2x-y=-5
-y=-2x-5
y=2x+5
x+2y=-6
2y=-x-6
y=-(1/2)x-3
if lines are parallel the slopes would be the same. 2 is not equal to -1/2
if lines are perpendicular the slope of one would be the opposite inverse of the other.
negative inverse of 2 = - (1/2)
so the lines are perpendicular
The probability that exactly 4 of the selected adults believe in reincarnation is 5.184%, and the probability that all of the selected adults believe in reincarnation is 7.776%.
Given that based on a poll, 60% of adults believe in reincarnation, to determine, assuming that 5 adults are randomly selected, what is the probability that exactly 4 of the selected adults believe in reincarnation, and what is the probability that all of the selected adults believe in reincarnation, the following calculations must be performed:
- 0.6 x 0.6 x 0.6 x 0.6 x 0.4 = X
- 0.36 x 0.36 x 0.4 = X
- 0.1296 x 0.4 = X
- 0.05184 = X
- 0.05184 x 100 = 5.184
- 0.6 x 0.6 x 0.6 x 0.6 x 0.6 = X
- 0.36 x 0.36 x 0.6 = X
- 0.1296 x 0.6 = X
- 0.07776 = X
- 0.07776 x 100 = 7.776
Therefore, the probability that exactly 4 of the selected adults believe in reincarnation is 5.184%, and the probability that all of the selected adults believe in reincarnation is 7.776%.
Learn more in brainly.com/question/795909
Answer:
0.0416
Step-by-step explanation:
Given :
Sample size, n = 300
Sample mean, x = 35.5
Population mean, m = 35
Standard deviation, s = 5
The test statistic :
Zstatistic = (x - m) / s/sqrt(n)
Zstatistic = (35.5 - 35) / 5/sqrt(300)
Zstatistic = 0.5 / 0.2886751
Zstatistic = 1.732
Using the p value calculator from Zstatistic :
One tailed P value at 95% confidence interval is : 0.0416
Mean - add up all of the scores, and divide it by the number of members:
68 + 62 + 60 + 64 + 70 + 66 + 72 = 462
462 / 7 = 66
ANSWER: The mean is 66
Median - write out all the numbers in order, and select the middle value:
60, 62, 64, 66, 68, 70, 72
ANSWER: As you can see, 66 is the middle value.
Midrange - find the mean (average) of the smallest and largest number:
Largest number: 72
Smallest number: 60
Midrange: 72 + 60 = 132
132 / 2 = 66
ANSWER: So the midrange is 66
