90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the giver confidence interval [ 0.3026, 0.3348 ].
Here, we have given:
Number of adults (n) = 2272
Number of adults who believe in UFO (x) = 724
Sample proportion (p) = x/n
p = 724 / 2272
p = 0.3187
now, let q = 1 - p
q = 1 - 0.3187
q = 0.6813
Confidence level → 90%
The 90% confidence interval for population proportion is
![[ p - 1.645\frac{\sqrt{pq} }{\sqrt{n}} ,p + 1.645\frac{\sqrt{pq} }{\sqrt{n}} ]](https://tex.z-dn.net/?f=%5B%20p%20-%201.645%5Cfrac%7B%5Csqrt%7Bpq%7D%20%7D%7B%5Csqrt%7Bn%7D%7D%20%2Cp%20%2B%201.645%5Cfrac%7B%5Csqrt%7Bpq%7D%20%7D%7B%5Csqrt%7Bn%7D%7D%20%5D)
where 1.645 is Zac value at 90% confidence level.
= 0.3187 - 0.0161 = 0.3026
= 0.3187 + 0.0161 = 0.3348
90% confidence interval for the population proportion is
[ 0.3026, 0.3348 ]
Hence, With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the giver confidence interval [ 0.3026, 0.3348 ]
Learn more about " Population Proportion " from here: brainly.com/question/15087042
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Hello.
<span>Reorder the terms:
-6 + y = 4(x + 5)
Reorder the terms:
-6 + y = 4(5 + x)
-6 + y = (5 * 4 + x * 4)
-6 + y = (20 + 4x)
Solving
-6 + y = 20 + 4x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + y = 20 + 6 + 4x
Combine like terms: -6 + 6 = 0
0 + y = 20 + 6 + 4x
y = 20 + 6 + 4x
Combine like terms: 20 + 6 = 26
y = 26 + 4x
Simplifying
y = 26 + 4x
</span>x-intercept: <span><span>(−<span>132</span>,0)</span><span>(-<span>132</span>,0)</span></span>y-intercept: <span>(0,26<span>)
Have a nice day</span></span>
Answer:
The area that was not painted is 
Step-by-step explanation:
step 1
Find the area of the rectangle
we know that
The area of a rectangle is equal to
In this problem we have
substitute
step 2
Find the area that was painted
step 3
Find the area that was not painted
Subtract the area that was painted from the total area of rectangle
so
