Answer:
A. No, the student is not right. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means.
Step-by-step explanation:
No, the student is not right. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means. The central limit theorem says that if we take a large sample (i.e., a sample of size n > 30) of any distribution with finite mean 
and standard deviation 
, then, the sample average is approximately normally distributed with mean and variance 
.
Step-by-step explanation:
1)The given equations are:
x − 2y = 6 ...(i)
3x − 6y = 0 ...(ii)
Putting x = 0 in equation (i) we get
=> 0 - 2y = 6
=> y = -3
x = 0, y = -3
Putting y = 0 in equation (i) we get
⇒x-2×0=6
⇒x=6
x = 6, y = 0
Use the following table to draw the graph
x 0 6
y -3 0
Plotting the two points A(0, -3) and B(6,0) equaion (1) can be drawn
Graph of the equation ..(ii)
3x - 6y = 0 ...(ii)
Putting x = 0 in equation (ii) we get
⇒3×0-6y=0
=> y = 0
x = 0, y = 0
Putting x = 2 in equation (2) we get
⇒3×2-6y=0
=> y = 1
x = 2, y = 1
Use the following table to draw the graph.
x 0 2
y 0 1
Draw the graph by plotting the two points O(0,0) and D(2,1) from table
We see that the two lines are parallel, so they won’t intersect
Hence there is no solution
2)
Log (25¹/⁵) = (1/5) log(25) = (1/5) (1.3979) = 0.2796
Using translation concepts, the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:
Z'(x + 8, y - 7).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the translations are given as follows:
- 8 units right, hence x -> x + 8.
- 7 units down, hence y -> y - 7.
Hence the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:
Z'(x + 8, y - 7).
More can be learned about translation concepts at brainly.com/question/28351549
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Answer:
14/15
Step-by-step explanation:
P(S or T) = P(S) + P(T) = 3/5 + 1/3
= 9/15 + 5/15 = 14/15
