Answer:
Step-by-step explanation:
A=1/2b *h
base(b)= 5/3x
height(h) = h
1/2(5/3x)*x=
5/6x*x=
5/6x^2
Answer:

Step-by-step explanation:
observe
||a–b+c|| = ||a+b+c||
(a-b+c)² = (a+b+c)²
(a+b+c)² – (a-b+c)² = 0
((a+b+c)+(a-b+c))((a+b+c)–(a-b+c)) = 0
(2a+2c)(2b) = 0
(a+c)b = 0
a•b + c•b = 0
||a||×||b||×cos(π/8) + ||c||×||b||×cos(θ) = 0

Answer:
A sample size of 3 is required.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 2.054.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.
This means that 
He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.
The sample size needed is of n, and n is found when M = 5. So






Rounding up:
A sample size of 3 is required.
Answer:
no it isn't
Step-by-step explanation:
if you find all of the angles using the angle addition postulate and supplementary angles rule (add to 180 degrees), you will be left with an angle that is not able to satisfy either of these rules, 75
60