First let's calculate the measure of our angle.
360 degrees - 296 degrees = 64 degrees.
Now, we can set the sum of our tiny angles equal to the whole angle.
64 degrees = 29 degrees + (x - 24) degrees.
Combine like terms.
64 degrees = 5 degrees + x
Subtract 5 degrees from both sides.
59 = x
Percent formula : is/of = % / 100
what percent of 21.5 is 55.04...
% = x....because this is what we r looking for
is = 55.04
of = 21.5
now we sub into the formula
55.04 / 21.5 = x / 100
cross multiply because this is a proportion
(21.5)(x) = (100)(55.04)
21.5x = 5504
x = 5504 / 21.5
x = 256 <== so ur answer is 256%
Using the z-distribution, it is found that the 90% confidence interval for the true proportion of club members who use compost is (0.392, 0.508).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
is the sample proportion.
In this problem, we have a 90% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.645.
The estimate and the sample size are given by:
Hence, the bounds of the interval are:
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ4
Answer:
3.14 ft
Step-by-step explanation:
The arc AB is the minor arc of the given circle. The length l of the minor arc of a circle is given as
l = Ф°/360° × 2πr
where
Ф is the angle of the arc at the center of the circle
r is the radius of the circle and
π is a mathematical constant equivalent to 22/7
r = 8/2 = 4 ft
Hence
l = 45°/360° × 2 × 22/7 × 4
= 22/7 ft
= 3.14 ft
Adjusted gross income (AGI) is a person's
total gross income minus specific deductions. So, Florence can deduct an amount
of: .5 or 50% of 197130 = 98,565 is the maximum deduction which is less that
actual amount given for the charitable contributions.
