Using proportions, it is found that the measure of the inscribed angle B is of 30º.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In a circle, the inscribed angle is half the measure of the outside angle. Hence, in this problem, the measure of angle B is of 50% of 60º, hence:
m<B = 0.5 x 60º = 30º.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
The probability is 0.31
Step-by-step explanation:
In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.
Firstly, we calculate the standard score of $86 using the mean and the standard deviation.
Mathematically;
z-score = (x-mean)/SD
where x = 86, mean = 84 and SD = 4
z-score = (86-84)/4 = 2/4 = 0.5
Hence, we want to calculate P(z ≥ 0.5)
Using standard table
P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854
To the nearest hundredth = 0.31
Answer:
448
Step-by-step explanation:
A=((a+b)/2) h=(17+39)/2·16=448
Step-by-step explanation:
f(x)=2x+1
g(x)=2x-7
now,
- f-g(x)=f(x)-g(x)
- 2x+1-2x+7
- 8
(f-g)(x)=8
hope it helps.