Answer:
m<D=50
Step-by-step explanation:
The reason is that ABOC is a quadrilateral, so its angle add up to 360*. Each of the tangent angles, <ABO and <ACO, has a measure of 90*.
m<ABO + m<ACO + m<A + m<O = 360
90 + 90 + m<A + m<O = 360
m<A + m<O = 180
80 + m<O =180
m<O = 100
If the measure of central angle <O is 100*, what is the measure of inscribed <D?
The measure of a central angle is equal to the measure of the arc it intercepts. If m<O = 100*, then m BC = 100.
The measure of an inscribed angle is half of the measure of the arc it intercepts. If m BC = 100*, then m<D = 50
m<D=50
Answer:
a) 0.345
b) 0.005
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 0.3
We are given that the distribution of lengths of lumber is a bell shaped distribution that is a normal distribution.
Formula:

a) P(length greater than 100.12 inches)
P(x > 100.12)


Calculation the value from standard normal z table, we have,

b) Standard error due to sampling:

P(length greater than 100.12 inches for the sample)
P(x > 100.12)


Calculation the value from standard normal z table, we have,

The two cities will be 2.9 inches apart on the map.
Step-by-step explanation:
Given scale of map is;
1 inch = 80 miles
Ratio of inch to miles = 1:80
Actual distance between Austin and Corpus = 232 miles
Let,
x be the distance between Austin and Corpus on map.
Ratio of inch to miles = x:232
Using proportion;
Scale ratio :: Actual ratio

Product of mean = Product of extreme

Dividing both sides by 80

The two cities will be 2.9 inches apart on the map.
Keywords: ratio, proportion
Learn more about ratio at:
#LearnwithBrainly
The domain of it is d: [1,+infinity) and the range is r: (-infinity,0].