Answer:x=1.5
Step-by-step explanation:
Given
Two points co-ordinates are given
A=(5,-8)
B=(5,4)
let other point be C =(x,y)
Area of triangle is given by
![A=\begin{vmatrix}5& -8&1\\5& 4&1\\x& y&1\end{vmatrix}](https://tex.z-dn.net/?f=A%3D%5Cbegin%7Bvmatrix%7D5%26%20-8%261%5C%5C5%26%204%261%5C%5Cx%26%20y%261%5Cend%7Bvmatrix%7D)
![A=5\left ( 4-y\right )+8\left ( 5-x\right )+1\left ( 5y-4x\right )](https://tex.z-dn.net/?f=A%3D5%5Cleft%20%28%204-y%5Cright%20%29%2B8%5Cleft%20%28%205-x%5Cright%20%29%2B1%5Cleft%20%28%205y-4x%5Cright%20%29)
A=20-5y+40-8x+5y-4x
A=60-8x
and A=48 square unit
48=60-8x
x=1.5
As area is independent of y therefore at x=1.5 any value of y will give area of 48 square unit
Answer:
b. CHISQ.TEST
Step-by-step explanation:
Notation and previous concepts
A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"
The statistic is given by:
![\chi^2 = \sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}](https://tex.z-dn.net/?f=%5Cchi%5E2%20%3D%20%5Csum_%7Bi%3D1%7D%5En%20%5Cfrac%7B%28O_i-E_i%29%5E2%7D%7BE_i%7D)
In order to calculate the p value we need to have in count the degrees of freedom , on this case
. And we can calculate the p value would be given by:
But the correct comand is given by:
b. CHISQ.TEST(Actual range, Expected range)
We just need to put in one column the Observed values and in other the expectec values.
z=xm+n-p
We need to isolate x to one side I will do that on the left side so it looks cleaner, therefore I will first flip the equation.
xm+n-p=z
Now move the n and p to the right side
xm=z-n+p
x=(z-n+p)/m
Hope this helped, if you have any questions about this just comment and I will come answer.
Answer:
Thus, 2645 needs to be divided by 5 to become a perfect square. Thus, the required smallest whole number by which it should be divided so as to get a perfect square number is 5 and the square root is √529= 23.
Step-by-step explanation: