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ZanzabumX [31]
3 years ago
10

What is the circumference of a circle with a radius of 3 inches? Use 3.14 for pie

Mathematics
2 answers:
Maslowich3 years ago
8 0
Answer: 18.84

First, the formula utilized to find the circumference of a circle is C=2πr.

So, C=2x3.14x3
2x3.14= 6.28
6.28x3= 18.84
zzz [600]3 years ago
4 0

Answer:

18.85

Step-by-step explanation:

1. Formula for finding circumference is C=2πr.

2. Plug in the numbers. C=2(3.14)(3)

3. Multiply. 2 x 3.14 = 6.28       6.28 x 3 = 18.84

4. Answer is 18.84 (or 18.85 if rounding)

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A study investigated the effectiveness of meditation training in reducing trait anxiety. The study evaluated subjects trait anxi
Setler79 [48]

Answer:

The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7787.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.7787\frac{6.9}{\sqrt{27}} = 3.7

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.9 - 3.7 = 1.2.

The upper end of the interval is the sample mean added to M. So it is 4.9 + 3.7 = 8.6.

The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).

6 0
2 years ago
SOMEONE HELP, I HAVENT BEEN PAYING ATTENTION TO CLASS
andrew11 [14]
Uhhh yeah me neither!! 3.14 yes!!! it’s pie
3 0
3 years ago
Read 2 more answers
7.Find the lengths of the missing sides in the triangle. If your answer is not an integer, leave it in simplest radical form. Th
Fed [463]

Here a right angled triangle given. one angle with measure 45^o given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

The side adjacent to the given angle 45^o is x. So, here adjacent = x.

The opposite side is opposite to the given angle. So, opposite = 4.

Now we will use SOHCAHTOA that is sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}, where x is the angle given.

To get x, we will use tan. So we will get,

tan(45^o) = \frac{4}{x}

We know the value of tan(45^o) = 1. By substituting the value we will get,

1 =\frac{4}{x}

To find x, we have to move x here to the left side by multiplying it to both sides. We will get,

(1)(x) = (\frac{4}{x}) (x)

x = 4

So we have got the value of x here.

Now to find y, we will use the trigonometric function sine.

sin(45^o) =\frac{4}{y}

we know the value of sin(45^o) =\frac{\sqrt{2}}{2}

By substituting the value we will get,

\frac{\sqrt{2}}{2}  = \frac{4}{y}

By cross multiplying we will get,

(\sqrt{2}) (y) = (4)(2)

\sqrt{2}y = 8

We will get y by dividing both sides by \sqrt{2}, we will get,

\frac{\sqrt{2}y}{\sqrt{2}}   =\frac{8}{\sqrt{2} }

y =\frac{8}{\sqrt{2}  }

Now we will rationalize the denominator by multiplying \sqrt{2} to the top and bottom.

y =\frac{8\sqrt{2}}{(\sqrt{2})(\sqrt{2})}

y =\frac{8\sqrt{2}}{2}

y = 4\sqrt{2}

So we have got the required values of x and y.

8 0
3 years ago
Read 2 more answers
The answer and the work
crimeas [40]

Answer:

x=1

Step-by-step explanation:

Substitute the value of y to the first given

3x+4(-x)=-1

3x+(-4x)=-1

-x=-1

divide both sides by -1

x=1

5 0
3 years ago
The heights of the peach trees in an orchard are normally distributed with a mean of 12.5 feet and a standard deviation of 1.8 f
Zina [86]

Answer:

i think 1.8 not sure tho

8 0
2 years ago
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