If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?
2 answers:
Answer:
Length of arc of a circle is given by:
.....[1]
where
L is the length of an arc
r is the radius of the circle.
As per the statement:
Diameter of the circle(D) = 6 inches.
we know that:
D =2r
6 = 2r
Divide both sides by 2 we get;
3 = r
or
r = 3 inches
We have to find the long arc arc subtended by an angle measuring 70°.
Substitute the value of r = 3 inches and in [1] we have;
Simplify:
L = 210 inches
Therefore, 210 inches long is the arc subtended by an angle measuring 70 degree.
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Answer:
C. Probability is 0.90, which is inconsistent with the Empirical Rule.
Step-by-step explanation:
We have been given that on average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches.
First of all, we will find z-score corresponding to 87.5 and 107.5 respectively as:
Now, we need to find the probability .
Using property , we will get:
From normal distribution table, we will get:
Since the probability is 0.90, which is inconsistent with the Empirical Rule, therefore, option C is the correct choice.