Answer:
120
Step-by-step explanation:
From 20, choose 3:
₂₀C₃ = 120
Here we use combinations instead of permutations because the order doesn't matter.
1st Step - Find the mean (average):
245 + 300 + 325 + 465 + 100 = 1435
1435/5 = 287 ( mean)
2nd step find the sun of the sqaure the difference between the gievn data and the mean
287 - 245 = 42^2 = 1,764
300 - 387 = 13^2 = 169
325-287 = 38^2 = 1,444
465 - 287 = 178^2 = 31,684
287 - 100 = 187^2 = 34,969
1,764 +169 + 1,444 + 31,684 + 34,969 = 70,030
Now divide that by the number of samples minus 1 ( 5-1=4)
70,030 / 4 = 17,507.5
The variance = 17, 507.5
<h2><em>What is (2/x^2)^3 reduced to simplest form ?</em></h2>
<em>A. 8x^-6 </em>
<em>B. 8x^6</em>
<em> C. 6/x^6</em>
<em> <u>D. 8/ x^6</u></em>
<em><u>hope </u></em><em><u>it</u></em><em><u> helps</u></em>
Answer:
Option b is correct.
Linear function ;
y =2x
Step-by-step explanation:
The formula y=f(x)=mx +c ......[1] is said to be a linear function. That means the graph of this function will be a straight line on the (x, y) plane, where m represents slope and b is the y-intercepts.
Consider any points from the table;
(1, 2) and (2, 4)
substitute these point in [1] we get;
for (1, 2)
⇒x = 1 and f(x) = 2 we have
2 = m + c
or
c = 2- m ......[1]
for (2, 4) we have;
4 = 2m + c .....[2]
Now, substitute equation [1] into [2] we get;
4 = 2m + 2 -m
Combine like terms;
4 = m + 2
Subtract 2 from both sides we get;
4 -2 = m +2 -2
Simplify:
2 = m or
m = 2
Substitute the value of m = 2 in [1] to solve for c;
c = 2 -2 = 0
c =0
⇒ y = 2x +0
y = 2x
therefore, the data in the table represents the Linear function and a possible formula for the linear function is; y = 2x
