Answer: 1300 cm³
a) Find the volume of the entire rectangle and subtract the volume of the missing section. Volume = L · w · h
Solid = Rectangle - Missing section
= L · w · h - L · w · h
= 16 · 10 · 10 - 10 · 6 · 5
= 1600 - 300
= 1300
b) Find the volume of each section of the rectangle (base, left wing right wing) and add them. Volume = L · w · h
Solid = Base + Left wing + Right wing
= L · w · h + L · w · h + L · w · h
= 16 · 10 · 5 + 5 · 10 · 5 + 5 · 10 · 5
= 800 + 250 + 250
= 1300
The answer from (a) is the same as (b) 
Answer:
Case n =5
Case n =15
Case n = 40
P value
Case n =5
Case n =15
Case n =40
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is lower than 5, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Case n =5
Case n =15
Case n = 40
P-value
Since is a left tailed test the p value would be:
Case n =5
Case n =15
Case n =40
Answer:
20) 30°; 21) 21,1; 22) 6,2
Step-by-step explanation:
For the first image, you have to do <em>csc</em><em>⁻</em><em>¹</em><em> </em><em>2</em><em> </em>[OR <em>sin</em><em>⁻</em><em>¹</em><em> </em><em>½</em>] because you are solving for an angle measure. When evaluated, you get 30°.
For the second image, you have to do <em>13sec</em><em> </em><em>52</em><em>°</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>[OR <em>13\</em><em>cos</em><em> </em><em>52</em><em>°</em><em> </em><em>= x</em>]. When evaluated, you get an approximate measure of 21,1.
For the third image, you have to do <em>6csc</em><em> </em><em>75</em><em>°</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>[OR <em>6</em><em>\</em><em>sin</em><em> </em><em>75</em><em>°</em><em> </em><em>= x</em>]. When evaluated, you get an approximate measure of 6,2.
Extended information on Trigonometric Ratios
O\H = sin θ
A\H = cos θ
O\A = tan θ
H\A = sec θ
H\O = csc θ
A\O = cot θ
I am joyous to assist you anytime.
If the 0 is in the numerator, the value is 0
if the 0 is in the denominator, the value is undefined
so 0/8 = 0
and 3/0 = undefined