Hey there! I'm happy to help!
To find the distance between two points, you find the difference between the x values, square that, find the difference between the y values, square that, add the two numbers you got, and then find the square root.
We find the difference between the x values.
-7-2=-9
Square it.
-9²=81
We find the difference between the y-values.
5--3
5+3=8
We square it.
8²=64
We add the numbers we got.
81+64=145
We square root.
√145≈12.04
This formula comes from the Pythagorean Theorem! Now you can find the distance between any two points! Have a wonderful day! :D
Answer:
CI = 29.8 ± 3.53
Critical value is z = 2.58
Step-by-step explanation:
First of all let's find margin of error. It is given by the formula;
ME = zσ/√n
We are given;
Standard deviation; σ = 3.62
Sample size; n = 7
Mean; x¯ = 29.8
Now, z-value for 99% Confidence level is 2.58
Thus;
ME = (2.58 × 3.62)/√7
ME = 3.53
CI is written as;
CI = x¯ ± ME
CI = 29.8 ± 3.53
Critical value is z = 2.58
Step-by-step explanation:
1/4(0.25)
1/2 + 1/4 = 3/4 (0.75)
B is false, since by the inclusion/exclusion principle,
By independence, we have 
, which is zero if either of 
or 
is 0, which isn't guaranteed.
