The answers to the questions are C=11 and D=3
9514 1404 393
Answer:
1. ∠EDF = 104°
2. arc FG = 201°
3. ∠T = 60°
Step-by-step explanation:
There are a couple of angle relationships that are applicable to these problems.
- the angle where chords meet is half the sum of the measures of the intercepted arcs
- the angle where secants meet is half the difference of the measures of the intercepted arcs
The first of these applies to the first two problems.
1. ∠EDF = 1/2(arc EF + arc UG)
∠EDF = 1/2(147° +61°) = 1/2(208°)
∠EDF = 104°
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2. ∠FHG = 1/2(arc FG + arc ES)
128° = 1/2(arc FG +55°) . . . substitute given information
256° = arc FG +55° . . . . . . multiply by 2
201° = arc FG . . . . . . . . . subtract 55°
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3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.
∠T = 1/2(arc FS -arc US)
∠T = 1/2(170° -50°) = 1/2(120°)
∠T = 60°
Answer:
Total number of donor who will give first $ 100 = 100 people
Step-by-step explanation:
Given that:
Total percentage of people who donate when contact by phone 20%
Percentage of donating people who will give $100 or more = 5% = 0.05
Total number of donor who will give first $ 100 can be calculated as
calculate the percentage of donor who will give first $ 100


so, total number of the donor who will give first $ 100 = 100 people
Answer:
We are given:

Margin of error 
Confidence level = 0.99
We need to find the sample size to estimate the proportion of people who carry the TAS2R388 gene.
The formula for finding the sample size is:

Where:
is the critical value at 0.01 significance level.
Therefore, the required sample size is:



Therefore, the required sample size is 3774