Answer:
Part 1) The exact value of the arc length is \frac{25}{6}\pi \ in
Part 2) The approximate value of the arc length is 13.1\ in
Step-by-step explanation:
ind the circumference of the circle
The circumference of a circle is equal to
C=2\pi r
we have
r=5\ in
substitute
C=2\pi (5)
C=10\pi\ in
step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion
\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in
Find the approximate value of the arc length
To find the approximate value, assume
\pi =3.14
substitute
\frac{25}{6}(3.14)=13.1\ in
I think that your answer is 370
Answer:
<u>NOT BOTH BLACK = 1-2/25 = 23/25</u>
Step-by-step explanation:
Bag 1 : 8 non-black out of 10
P(1) = 8/10
Bag 2: 3 non-black out of 10
P(2)=3/5
Probability of both independent events happening can be calculated using the multiplication rule
P(1) and P(2) = P(1)*P(2) = 8/10 * 3/5 = 24/50 = <u>12/25 (both are not black, or none is black)</u>
Interpretating not both black meaning at most one black, then
we calculate the probability of both are black,
P(1) = 2/10
P(2) = 2/5
Probability that both balls are black can be calculated using the multiplication rule
P(1) and P(2) = 2/10 * 2/5 = 2/25
Probability that <u>NOT BOTH BLACK = 1-2/25 = 23/25, i.e. at most one black</u>
Answer:
Step-by-step explanation:
