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forsale [732]
3 years ago
7

Based on a poll of 100 citizens, a community action group claims that 38% of the population is in favor of the construction of a

senior center using tax dollars. A business group claims that the poll is not valid and that 65% of the citizens favor the construction of the senior center using tax dollars.
To determine whether this sample supports the population proportion of 0.38, a simulation of 100 trials is run, each with a sample size of 200 and a point estimate of 0.65. The minimum sample proportion from the simulation is 0.42, and the maximum sample proportion from the simulation is 0.72.

The margin of error of the population proportion is found using an estimate of the standard deviation.

What is the interval estimate of the true population proportion?

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer:

(0.55, 0.75)

Step-by-step explanation:

The range can be estimated to be 6 standard deviations wide.  Therefore, the standard deviation is:

σ = (0.72 - 0.42) / 6

σ = 0.05

The margin of error is ±2σ, so:

ME = ±0.10

Therefore, the interval estimate is:

(0.65 - 0.10, 0.65 + 0.10)

(0.55, 0.75)

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If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of
kherson [118]

The value of the variable x is found to be x = 9.

<h3>What is termed as angle bisector?</h3>
  • In geometry, an angle bisector is a line that divides an angle into two equal angles.
  • A bisector is something that divides a shape or thing into two equal portions.
  • An angle bisector is a ray that divides an angle into two equal components of the same measurement.

A bisected angle divides the two sides in equals.

JKM = LKM

As, both are equal.

Then, each of these angles are 1/2 the angle JKL.

1/2 JKL = MKL

1/2 ×( 92) = 5x + 1

Further simplifying;

46 = 5x+1

Subtract 1 from each side

46-1 = 5x

45 = 5x

Divide each side by 5

45/5 = 5x/5

x = 9

Thus, the value of the unknown variable is found to be x = 9 units.

To know more about the angle bisector, here

brainly.com/question/14399747

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6 0
1 year ago
If F(x) = 2 - xand w(x) = x - 2, what is the range of (w•p(x)?
hoa [83]

Answer:

Th Range is [0, -∞)

Step-by-step explanation:

f(x) = 2 - x

w(x) = x - 2

We want to find the range of (f * w)(x).

First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):

(f*w)(x)=(2-x)(x-2)\\=2x-4-x^2+2x\\=-x^2+4x-4

This is a quadratic function (U shaped), or a parabola. The graph is attached.

The range is the set of y-values for which the function is defined.

We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,

0 < y < ∞

In interval notation, that would be:

[0, -∞)

4 0
3 years ago
A line passes through the points R(-1,-5) and S(-3,-1). Write the equation of the line through the point A(4,0) that is parallel
IRISSAK [1]
Sorry I was moving around taking the picture and my handwriting is sloppy. But I hope you understand how I got the answer

4 0
3 years ago
Find the base of a parallelogram with a slant height of 7cm and an perimeter of 63 cm2
vlada-n [284]

Base of parallelogram b = 24.5 cm

Step-by-step explanation:

We are given:

Perimeter =P= 63 cm^2

Slant Height =a= 7 cm

Base of Parallelogram =b= ?

The formula used is:

Perimeter = 2(a+b)

where a is height and b is base

Putting values:

Perimeter = 2(a+b)\\63=2(7+b)\\63=14+2b\\2b=63-14\\2b=49\\b=\frac{49}{2}\\b=24.5

So, Base of parallelogram b = 24.5 cm

Keywords: Perimeter of Parallelogram

Learn more about Perimeter of Parallelogram at:

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5 0
3 years ago
A bicycle and a tricycle manufacturer makes bikes and trikes with the same size of wheels. They received a shipment of 100 wheel
natima [27]
2 trikes (6 wheels) and 47 bikes (94 wheels)
or
4 trikes (12 wheels) and 44 bikes (88 wheels)
or
6 trikes (18 wheels) and 41 bikes (82 wheels)
or
8 trikes (24 wheels) and 38 bikes (76 wheels)
or
10 trikes (30 wheels) and 35 bikes (70 wheels)

As long as you start our with an even number of trikes, you'll find a way to use up all the tires with no remainders.
4 0
3 years ago
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