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forsale [732]
2 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]2 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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qwelly [4]
If they have the same charge
x+x+x+x+x+x+x=-42
7x=-42
x=-6
so to check our answer
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-12-12-12-6=-42
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5 0
3 years ago
Read 2 more answers
Jane estimates this product by computing 7 x 800.
nirvana33 [79]

Answer:

Bill is closer.

Step-by-step explanation:

Bill: 7 * 900 = 6,300

Jane:  7 * 800 = 5,600

Actual Answer: 7 * 876 = 6,132

5 0
3 years ago
I NEED HELP WITH THIS PLEASE !!! AND EXPLAINED PLEASE!
Ksenya-84 [330]

Answer:

Step-by-step explanation:

Find the vertex and intercepts of y = 3x2 + x – 2 and graph; remember to label the vertex and the axis of symmetry.

This is the same quadratic as in the last example. I already found the vertex when I worked the problem above. This time, I also need to find the intercepts before I do my graph. To find the y-intercept, I set x equal to zero and solve:

y = 3(0)2 + (0) – 2

= 0 + 0 – 2 = –2

Then the y-intercept is the point (0, –2). To find the x-intercept, I set y equal to zero, and solve:

0 = 3x2 + x – 2

0 = (3x – 2)(x + 1)

3x – 2 = 0 or x + 1 = 0

x = 2/3 or x = – 1

Then the x-intercepts are at the points (–1, 0) and ( 2/3, 0).

The axis of symmetry is halfway between the two x-intercepts at (–1, 0) and at ( 2/3 , 0); using this, I can confirm the answer from the previous page:

(–1 + 2/3) / 2 = (–1/3) / 2 = –1/6

The complete answer is a listing of the vertex, the axis of symmetry, and all three intercepts, along with a nice neat graph:

The vertex is at ( –1/6 , –25/12 ), the axis of symmetry is the line x = –1/6 , and the intercepts are at (0, –2), (–1, 0), and ( 2/3, 0).

graph of y = 3x^2 + x - 2 with vertex and intercepts marked.

Find the intercepts, the axis of symmetry, and vertex of y = x2 – x – 12.

To find the y-intercept, I set x equal to 0 and solve:

y = (0)2 – (0) – 12 = 0 – 0 – 12 = –12

To find the x-intercept, I set y equal to 0 and solve:

0 = x2 – x – 12

0 = (x – 4)(x + 3)

x = 4 or x = –3

To find the vertex, I look at the coefficients: a = 1 and b = –1. Plugging into the formula, I get:

h = –(–1)/2(1) = 1/2 = 0.5

To find k, I plug h = 1/2 in for x inside y = x2 – x – 12, and simplify:

k = (1/2)2 – (1/2) – 12 = 1/4 – 1/2 – 12 = –12.25

Once I have the vertex, it's easy to write down the axis of symmetry: x = 0.5. Now I'll find some additional plot points, to fill in the graph:

T-chart

For my own convenience, I picked x-values that were centered around the x-coordinate of the vertex. Now I can plot the parabola: Copyright © Elizabeth Stapel 2002-2011 All Rights Reserved

graph of y = x^2 - x - 12

The vertex is at the point (0.5, –12.25),

the axis of symmetry is the line x = 0.5,

and the intercepts are at the points (0, –12), (–3, 0), and (4, 0).

4 0
3 years ago
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maxonik [38]
To solve for this we will follow PEMDAS to arrive at the correct answer so we have the following:
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1 \\  - 9.5j - 5.5 = 0.5j - 1 \\  - 10j = 4.5 \\ j =  \frac{4.5}{ - 10}  = - 0.45
Based on calculations the correct answer is A
7 0
3 years ago
Stephen counted 17 heartbeats in 15 seconds. How many times does his heart beat in 1 minute?
blagie [28]

Stephen's heart beats 68 times in one minute

Step-by-step explanation:

60 sec (one min) divided by 15 sec ( the unit of time we use to track the 17 heartbeats) = 4

4 times 17 =68

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