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GalinKa [24]
2 years ago
11

Determine the approximate circumference of a circle with diameter 18 units.

Mathematics
1 answer:
Sphinxa [80]2 years ago
8 0

Answer: 56.549 or 56.5

Explanation:

C= (pie) 3.14 * d = 2 * 3.14 * r

D= 18

C = 3.14 * 18 = 18 * 3.14

C = 56.549 or 56.5

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What is the length of the side labeled x cm?
UkoKoshka [18]
When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees

The Law of Sines states that

side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)

14 * Sine (41) / Sine (77) = side x

side x = 14 * 0.65606 / 0.97437
<span>side x = 9.18484 / 0.97437
</span>
<span> <span> <span> side x = 9.4264396482 </span> </span> </span> 









5 0
2 years ago
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

M = 0.0209

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0
3 years ago
For f(x)=2x+1 and g(x)=x^2-7 find (f•g)(x)
skad [1K]
(f•g)(x) = (2x+1) (<span>x^2-7)
</span>(f•g)(x) = 2x^3 + x^2- 14x  - 7

............................................

8 0
3 years ago
Which of the following points can be found on the line y=2x - 7 *
Ne4ueva [31]

Answer:

Graph y=2x-7. Use the slope-intercept form to find the slope ... where is the slope and is the y-intercept. Find the values of and using the form . The slope of the line is the value of , and the y-intercept is the ... y-intercept: Any line can be graphed using two points. Select two values, and plug them into the equation to

Step-by-step explanation:

6 0
2 years ago
Which figure represents the image of trapezoid LMNP after a reflection across the x-axis?
Naddika [18.5K]

Answer:

A

Step-by-step explanation:

Imagine folding the graph in half on the x-axis and tracing the shape on the other side.

Ps. x-axis is horizontal (left-right), y-axis is vertical (up-down)

3 0
3 years ago
Read 2 more answers
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