Acounty clerk wants to estimate the proportion of voters who will need special election facilities.
suppose a sample of 400 voters was taken.
if 150 need special election facilities, what is the upper confidence limit (ucl) for the 90% confidence interval for the population proportion of voters who will need special election facilities?
round your answer to 3 decimal places.

The upper confidence limit for the 90% confidence interval would be 0.415.

Step-by-step explanation:

Since we have given that

n = 400

x = 150

So,

At 90% confidence interval, z = 1.645

So, margin of error would be

So, the upper limit would be

Hence, the upper confidence limit for the 90% confidence interval would be 0.415.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1