Answer:
The minor arc PR is 42 degrees
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The inscribed angle is half that of the arc comprising
so

we have

substitute


Remember that the minor arc in a circle is less than 180 degrees
therefore
The minor arc PR is 42 degrees
Answer:
.0942816
Step-by-step explanation:
Given
Sample size n = 150
Sample proportion
=
= 0.28
Confidence interval =
= .99

1 - confidence interval = 1 - 0.99 = .01
For 99
confidence interval
( Z = 2.576 )

= .0942816
Answer:
The constant of proportionality is 0.5
Step-by-step explanation:
We are given the following in the question:
Cost of 25 game tickets = $12.50
Cost of 35 game tickets = $17.50
The cost of ticket C(n) is directly proportion to the number of tickets n.
Thus, we can write:

where a is the constant of proportionality.
Putting values, we get,

Thus, the constant of proportionality is 0.5
Answer:
£13,268.34
Step-by-step explanation:
16.5% of £15890.23
= 16.5/100 × £15890.23
= 0.165 × £15890.23
= £2,621.88795
Therefore,
£15890.23 - £2,621.88795
= £13,268.34205
Approximate to 2 decimal place
= £13,268.34