a) P(3) =
(or 0.11 or 11%)
b) Number of sixes = P(6) x 500
=
x 500
= 12 x 5
= 60
"55x" shows that she has to pay $55 a month and the "+80" is a one time fee to open a membership
<u>Part 1)</u> A 20° sector in a circle has an area of 21.5π yd².
What is the area of the circle?
we know that
the area of a circle represent a sector of
degrees
so by proportion
therefore
<u>the answer part 1) is</u>
The area of the circle is 
<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?
we know that
the area of the circle is equal to

where
r is the radius of the circle
in this problem we have

<u>Find the area of the circle</u>



<u>Find the area of the sector</u>
we know that the area of the circle represent a sector of
radians
by proportion
therefore
<u>the answer part 2) is</u>
the area of the sector is

Answer:
x = 5
Step-by-step explanation:
2(x+6) = 22
2x+12 = 22
2x = 10
x = 5
Answer:
Step-by-step explanation:
Given that in a randomized controlled trial in Kenya, insecticide treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria.
H0: p1=p2
H1: p1 <p2
(one tailed test)
p1 = 15/343:p2 =27/294:
Difference 4.813 %
95% CI 0.9160% to 9.0217%
Chi-squared 5.947
DF 1
Significance level P = 0.0073
Since p <0.01 we reject null hypothesis.