Answer:
The correct option is (C).
Step-by-step explanation:
According to the Central Limit Theorem if we have n unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample means is given by,
And the standard deviation of the distribution of sample means is given by,
The information provided is:
<em>μ</em> = 3.5
<em>σ</em> = 1.7078
<em>n</em> = 400 = number of times the experiment is repeated.
As the sample size is quite large, i.e. <em>n</em> = 400 > 30 the central limit theorem can be used to approximate the sampling distribution of the sample mean.
The mean of the distribution of sample means is:
The standard deviation of the distribution of sample mean is:
The distribution of the sample mean is:
.
Thus, the correct option is (C).
The answer is x = 12/7
because you multiply 15 by x to get 15x
15x = 4(2x+3)
next you simplify the right side by using the distributive property by doing 15x = 4(2x) + 4(3)
Then you multiply 2 by 4 to get 8
15x = 8x + 4(3)
and multiply 4 by 3 to get 12
15x = 8x + 12
Now you move terms containing (x) to the left side of the equation.
Since 8x contains the variable to solve for, move it to the left side of the equation by subtracting 8x from both sides.
15x - 8x = 12
subtract 8x from 15x to get 7x
7x = 12
Also , divide each term by 7 and simplify
Divide each term in 7x = 12 by 7
7x/7 = 12/7
Lastly , reduce the expression by cancelling the common factors by
crossing out all 7s 7x/7 and leave 12/7 as it is, and divide x by 1 to get x by
x = 12/7
So the answer is x = 12/7
Answer:
Explanation: As you make the segments smaller and smaller, the parallelogram becomes more of a rectangle with shorter side equal to the radius of the circle r and longer side πr - half of the circumference of the circle. Hence we get the formula πr2 for the area of a circle of radius r .
Step-by-step explanation:
Hello,
Answer A (graph most left)
Intersection is (10/3,-11/3)
y=-2x+3
y=-2-x/2
so -2x+3=-2-x/2
==>3x/2=5 ==>x=10/3
and y=-2*10/3+3=-11/3
