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devlian
12 days ago
5

g In a survey of 500 residents, 300 were opposed to the use of the photo-cop for issuing traffic tickets.The standard error of t

he estimate is found to be 0.022. Find the margin of error that corresponds toa 95% confidence interval. The z-score is 1.96.A)0.035B)0.043C)0.60D)0.40E)none of these
Mathematics
1 answer:
Inessa [9K]12 days ago
7 0
The z-score is 1.96, and the margin of error is d = 0.04323. Here's a breakdown: Let X represent the number of individuals against photo-cop use among a sample of 500 individuals, n = 500. The interest's parameter is the proportion of opposition, calculated to be p' = 300/500 = 0.6. For estimating the population proportion confidence interval, it's necessary to approximate the sampling distribution of p' as normal. Utilizing p' for variance and calculating the standard error leads to the formula for the confidence interval: p' ± z * SE, where "z * SE" describes the margin of error. The z-value for a 0.95 confidence level is set at 1.96, leading to a calculated margin of error of d = 1.965 * 0.022 = 0.04323.
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A semicircular flower bed has a diameter of 3 metres.
babunello [8412]

Answer:

3.5 m^2

Step-by-step explanation:

For a shape that is half a circle, use the formula: A = \frac{1}{2} π r^2

Calculate the radius, which is half of the diameter: r = d/2 = 3/2 = 1.5

Insert r = 1.5 into the formula.

A = \frac{1}{2} π 1.5^2

A = \frac{1}{2} (3.14) 1.5^2

Calculate the result with your calculator and round it off.

The final answer is 3.5

3 0
1 month ago
Read 2 more answers
Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC
Svet_ta [9500]

We are given the triangle

△ABC, with m∠A=60° and m∠C=45°, and AB=8.

To start, we will calculate all angles and sides.

Finding angle B:

The total of all angles in a triangle equals 180.

m∠A + m∠B + m∠C = 180.

Substituting the known values,

60° + m∠B + 45° = 180.

This gives us m∠B = 75°.

Calculating BC:

Using the law of sines,

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

We can substitute in the values.

\frac{8}{sin(45)}=\frac{BC}{sin(60)}

BC=\frac{8}{sin(45)} \times sin(60)

BC=9.798

Finding AC:

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

Now we'll input the values.

\frac{8}{sin(45)}=\frac{AC}{sin(75)}

AC=\frac{8}{sin(45)} \times sin(75)

AC=10.928

Calculating Perimeter:

p=AB+BC+AC

We substitute values here as well.

p=10.928+8+9.798

p=28.726

Calculating Area:

Using the area formula,

A=\frac{1}{2}AB \times AC \times sin(A)

we can then insert values.

A=\frac{1}{2}8 \times 10.928 \times sin(60)

A=37.85570...............Answer

6 0
1 month ago
Read 2 more answers
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2780 seats. The students
zzz [9080]

Respuesta:

Un total de 1242 estudiantes de sexto grado participaron en la excursión.

Explicación paso a paso:

A partir de los datos proporcionados, se sabe que el teatro tiene 2760 asientos y que los estudiantes ocuparon el 45% de ellos, por lo que para encontrar cuántos estudiantes de sexto grado asistieron a la excursión, hay que calcular el 45% de 2760:

2760*45%=1242

Así que, de acuerdo a esto, la respuesta es que 1242 estudiantes de sexto grado estuvieron en la excursión.

5 0
11 days ago
Four letters are selected at random with replacement from the word MATHCOUNTS. What is the probability that the letters in the o
AnnZ [9099]

The total letters present in the entire world (MATH) = 4

the count of favorable results = 10

therefore, the chance of selecting the letters (MATH) is 2/5

7 0
5 days ago
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n the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the
babunello [8412]
THE ANSWER SHOULD BE B.
5 0
17 days ago
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