What is the product of 9 and the quantity is 5 more than a number t is less then 6
1 answer:
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Answer:
a. Left Skewed
b. More students scored above 70
c. No
d. 0.0008
e. standard deviation increases by 1.4142
Step-by-step explanation:
a. The distribution is Left skewed. The maximum possible score is 100 and the mean is 70, hence, there is a barrier preventing a long right tail.
-The scores to the left is only 20, the left therefore is longer.
-The median, 74, is higher than the mean, 70, thus the mean is more left leaning.
b.More students will score more than 70.
-the median is 74 suggesting that 50% plus have scored 74points +
- Given the mean is 70 points, it's therefore obvious that more than 50% of the students have score more than 70 points.
c. No. This is not a normal distribution therefore we cannot calculate the probability that a randomly chosen student scored above 75 using this distribution.
d. The sample size n is large, n>30, so we can use the central limit theorem to approximate the probability:
e. The standard deviation will increase by the square root of the decreament :
#Standard deviation increases by 1.4142
Check the attachment(s) for the graphs pertaining to the question
No. 1) Check graph [first attachment]
No. 2) y = (x - 2)^2 - 3, y = 1
(x - 2)^2 - 3 = 1,
(x - 2)^2 = 4
x - 2 = √4, x - 2 = - √4
x = 4, x = 0
Substitute back to determine the respectively y-value:
y = (4 - 2)^2 - 3 = (2)^2 - 3 = 4 - 3 = 1
Check: y = (0 - 2)^2 - 3 = (-2)^2 - 3 = 4 - 3 = 1
So the points of intersection are (4, 1) and (0, 1). According to the graph, that is correct.
