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3 years ago

Please help immediately very confused

Mathematics

2 answers:

abruzzese [7]3 years ago

7 0

Answer:

4.5units

Step-by-step explanation:

arc length's formula:2πr(∆/360)

remember, 2πr: circumference of a circle:

10units according to diagram.

∆=162°

using formula, 10(162°/360)

10*162/360 : 162/36

:4.5 units.

AlexFokin [52]3 years ago

3 0

Answer:

4.5

Step-by-step explanation:

162/360=0.45

0.45*10=4.5

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Find the value of x .. assume that segments that appear to be tangent are tangent .

Rus_ich [418]

Answer:

sqrt(277) =x

x is approximately 16.64331698

Step-by-step explanation:

This is a right triangle since 14 is tangent to the circle and 9 is a radius

We can use the Pythagorean theorem to solve this problem

a^2 +b^2 =c^2

9^2+14^2 =x^2

81+196 = x^2

277 = x^2

Taking the square root of each side

sqrt(277) = sqrt(x^2)

sqrt(277) =x

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2 years ago

Read the following statement.

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3 years ago

Read 2 more answers

Order the following in descending order<br> -3/4, 1/8, -0.735, 7/8, 1/80, 0.056

Vilka [71]

If you would like to order the following values in descending order, you can do this using the following steps:

- 3/4 = - 0.75
1/8 = 0.125
- 0.735
7/8 = 0.875
1/80 = 0.0125
0.056

The result is: 7/8, 1/8, 0.056, 1/80, - 0.735, -0.75.

5 0

3 years ago

Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this ye

slega [8]

Answer:

A sample size of 1031 is required.

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

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

37% of freshmen do not visit their counselors regularly.

This means that $\pi = 0.37$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

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

$0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}$

$0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}$

$\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2$

$n = 1030.4$

Rounding up:

A sample size of 1031 is required.

4 0

2 years ago

Anyone know how to answer this question

mart [117]

9514 1404 393

Answer:

(x +6)^2 +(y -10)^2 = 225

Step-by-step explanation:

The standard form equation for a circle is ...

(x -h)^2 + (y -k)^2 = r^2

where the center is (h, k) and the radius is r.

The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.

((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)

The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.

(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2

(x +6)^2 +(y -10)^2 = 81 +144 = 225

The equation of the circle is ...

(x +6)^2 +(y -10)^2 = 225

5 0

2 years ago