Answer:
StartRoot 2 squared + 6 squared EndRoot
Step-by-step explanation:
we have
A(4,3) and B(-2,1)
we know that
the formula to calculate the distance between two points is equal to
substitute the given values
therefore
StartRoot 2 squared + 6 squared EndRoot
Answer:
Area = PI * radius ^ 2
Area = PI * 60^2
Area = PI * 3,600
Area = 11,309.73 square miles
Step-by-step explanation:
Answer:
As we have seen before, you can write the equation of any line in the form of y = mx + b . This is the so-called slope intercept form, because it gives you two important pieces of information: the slope m and the y-intercept b of the line. You can use these values for linear interpolation later.
Step-by-step explanation:
Answer:
a. [ 0.454,0.51]
b. 599.472 ~ 600
Step-by-step explanation:
a)
Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Mean(x)=410
Sample Size(n)=850
Sample proportion = x/n =0.482
Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]
= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]
= [ 0.454,0.51]
b)
Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)
Z a/2 at 0.05 is = 1.96
Samle Proportion = 0.482
ME = 0.04
n = ( 1.96 / 0.04 )^2 * 0.482*0.518
= 599.472 ~ 600
Applying BODMAS (Order of operations rule)
Where: B is for brackets
O is for 'of' which means multiplication
D is for division
M is for multiplication
A is for addition
S is for subtraction
<u>In this case:</u>
We start with addition then we go to addition and finally we subtract.
(78 × 13) - (8 × 78) + (26 × 78) - 78
= 1014 - 624 + 2028 - 78
= 1014 + 2028 - 624 - 78
= 3042 - 624 - 78
=2340
