Answer:
The confidence interval for the unemployment rate is (0.056, 0.06) = (5.6%, 6%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
The margin of error is:
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
The lower bound of the interval is:
![\pi - M](https://tex.z-dn.net/?f=%5Cpi%20-%20M)
The upper bound of the interval is:
![\pi + M](https://tex.z-dn.net/?f=%5Cpi%20%2B%20M)
In this problem, we have that:
![\pi = 0.058, M = 0.002](https://tex.z-dn.net/?f=%5Cpi%20%3D%200.058%2C%20M%20%3D%200.002)
So
![\pi - M = 0.058 - 0.002 = 0.056](https://tex.z-dn.net/?f=%5Cpi%20-%20M%20%3D%200.058%20-%200.002%20%3D%200.056)
![\pi + M = 0.058 + 0.002 = 0.06](https://tex.z-dn.net/?f=%5Cpi%20%2B%20M%20%3D%200.058%20%2B%200.002%20%3D%200.06)
The confidence interval for the unemployment rate is (0.056, 0.06) = (5.6%, 6%).
Answer:
x ≈ 13.5
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan34° =
=
( multiply both sides by 20 )
20 × tan34° = x , then
x ≈ 13.5 ( to the nearest tenth )
The time it takes them working together to paint the room is 3.08 hours
<h3>Rational expression</h3>
Rational expression are equation written as a ratio of two expressions or equations.
If Wes can paint a certain room in 8 hours, she can paint 1/8 of the room in 1 hr
Similarly, if Sally can paint the same room in 5 hours, , she can paint 1/5 of the room in 1 hr
Determine the time it takes them to paint the room altogether.
Time together = x
Using the expression below to determine the value of x
1/x = 1/8 + 1/5
1/x = 5+8/40
1/x = 13/40
x = 40/13
x = 3.08
Hence the time it takes them working together to paint the room is 3.08 hours
Learn more on rational expression here; brainly.com/question/2264785
#SPJ1
Hello!
Let's convert 3/4 to a decimal, and then subtract that from the whole so that we know how much pizza is left.
To convert a fraction to a decimal, we must divide the numerator by the denominator.
3 ÷ 4 = 0.75
One whole would be 1.
1 - 0.75 = 0.25
That is the remaining amount of pizza. Now, we must split this into two for the daughter and the son. To do this, we will use the operation called division.
0.25 ÷ 2 = 0.125
A N S W E R:
They will recieve 0.125 pizza each.
<h2>Information:</h2>
2 and
cups of flour are needed per batch. Marcus wants to make 3 batches.
<h2>Steps:</h2>
Simply multiply the amount of cups of flour per batch with the amount of batches you want to make to find how many cups of flour you need.
2
(cups of flour per batch) x 3 (batches) = 6
(cups of flour needed for 3 batches)
<h2>Conclusion:</h2>
Marcus needs 6
cups of flour