Step-by-step explanation:
but ... you had already correctly answered the first part.
L² + W² = d²
Pythagoras ...
all you needed to do now was do the calculations. no "brainware" needed ...
30² + 10² = d²
900 + 100 = d²
1000 = d²
d = 31.6227766... ≈ 31.6 units
VW = VC + CW
61 = z + 13 + z + 8 = 2z + 21
2z = 61 - 21 = 40
z = 40/2 = 20
z = 20.
This question has to do with slope. If two lines share the same slope but different points, then there are parallel. If their slopes are negative reciprocals (like -2 and 1/2), then they are perpendicular.
y = 3x - 7 and y = 3x + 1 have different points but both have a slope of 3, where y = mx+b,
m = slope. Therefore these two lines are parallel.
Answer:
43,680 ways.
Step-by-step explanation:
We have been given that an experiment involves 16 participants. From these, a group of 4 participants is to be tested under a special condition. We are asked to find the number of groups of 4 participants that can be chosen, assuming that the order in which the participants are chosen is irrelevant.
We will use permutations formula to solve our given problem.

For our given problem
and
.


Therefore, 4 participants can be chosen in 43,680 different ways.
Answer: 
Step-by-step explanation:
Given : sample size : n= 51
sample standard deviation : s= 0.46
Significance level : 
Using chi-square distribution, the critical values will be :


Confidence interval for population standard deviation (
) :

Substitute all the values , we get

Hence, the 95% two-sided confidence interval for σ : 