Answer:
The mean of the distribution of heights of students at a local school is 63 inches and the standard deviation is 4 inches.
Step-by-step explanation:
The normal curve approximating the distribution of the heights of 1000 students at a local school is shown below.
For a normal curve, the mean, median and mode are the same and represents the center of the distribution.
The center of the normal curve below is at the height 63 inches.
Thus, the mean of the distribution of heights of students at a local school is 63 inches.
The standard deviation represents the spread or dispersion of the data.
From the normal curve it can be seen that values are equally distributed, i.e. the difference between two values is of 4 inches.
So, the standard deviation is 4 inches.
Answer:
(2x-3) (2x+3)
zeros, x intercepts: -3/2, 3/2
Step-by-step explanation:
4x^2 -9
We know the difference of squares is a^2 -b^2
This factors into (a-b) (a+b)
Let 4x^2 =a^2
Taking the square root
2x =a
Let b^2 =9
Taking the square root
b= 3
(4x^2-9 ) = (2x-3) (2x+3)
To find the zeros, we set the equation equal to zero
(4x^2-9 ) = (2x-3) (2x+3) =0
Using the zero product property
2x-3 =0 and 2x+3 =0
2x-3+3 = 0+3 2x+3-3 = 0-3
2x=3 2x=-3
Divide by 2
2x/2 = 3/2 2x/2 = -3/2
x = 3/2 x = -3/2
These are the zeros of the equation (which are also the x intercepts)
Answer:
.5 pounds
Step-by-step explanation:
3 divided by 6 is .5
Answer:
<h2><u><em>
2/7</em></u></h2>
Step-by-step explanation:
I answer for what I understand, the question is not clear.
2 divided by what times what equals 7
2 : x = 7
x = -2/-7
x = 2/7
-------------
check
2 : 2/7 = 7
2 * 7/2 = 7
7 = 7
the answer is good
