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mr_godi [17]
2 years ago
10

Find the exact perimeter of the circle with a radius of 5 and round your answer to 2 decimal places

Mathematics
1 answer:
IceJOKER [234]2 years ago
5 0

Answer:

31.42

Step-by-step explanation:

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A loaded 8-sided die is loaded so that the number 4 occurs 3/10 of the time while the other numbers occur with equal frequency.
Law Incorporation [45]

Answer:

4.4

Step-by-step explanation:

The sum of the probabilities of all possible outcomes is 1.

As the die is loaded so that the number 4 occurs 3/10 of the time, and the other numbers occur with equal frequency, then the probability of numbers 1, 2, 3, 5, 6, 7 and 8 being rolled is 1/10.

Create a probability distribution table for X, where X is the score on the loaded 8-sided die:

\begin{array}{ | c | c | c | c | c | c | c | c | c |}\cline{1-9}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\cline{1-9} & & & & & & & &\\ \text{P}(X=x) & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{3}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10}\\& & & & & & & &\\\cline{1-9}\end{array}

Add a product row and a totals column:

\begin{array}{ | c | c | c | c | c | c | c | c | c | c |}\cline{1-10}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 &\text{Total} \\ \cline{1-10} &&&&&&&&& \\ \text{P}(X=x) & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{3}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & 1\\ &&&&&&&&&\\ \cline{1-10} &&&&&&&&&\\\text{Product} & \frac{1}{10} & \frac{2}{10} & \frac{3}{10} & \frac{12}{10} & \frac{5}{10} & \frac{6}{10} & \frac{7}{10} & \frac{8}{10} & \frac{44}{10} \\ &&&&&&&&&\\\cline{1-10}\end{array}

(The Product is row is the product of the <u>score on the die</u> and <u>its probability</u>).

The expected value (EV) is the sum of the product of each outcome and its probability.  

Therefore, the expected value (EV) of this die is 44/10 = 4.4

6 0
2 years ago
The diameter of a cookie is 2 inches. If pico’s 3.14, what is the area of the cookie, rounded to the nearest 10th?
Amanda [17]

For this case we must find the area of the cookie, knowing that it has a circular shape. By definition, the area of a circle is given by:

A = \pi * r ^ 2

Where:

r: It is the radius of the circle

According to the data we have:

r = \frac {2} {2} = 1 \ in

Thus, the area of the cookie is:

A = \pi * (1) ^ 1

We have \pi = 3.14

A = 3.14 * 1\\A = 3.14

We round:

A = 3.1

Thus, the area of the cookie is 3.1 \ in ^ 2

Answer:

3.1 \ in ^ 2

6 0
3 years ago
Pls help w all I need to get it done
RUDIKE [14]

Answer:

Answer: 14

Terms: 3

Coefficient: 2

Step-by-step explanation:

15 + 2 x 1.5 - 4=14

2 is the number beside x

15, 4, and 2x are the terms

8 0
3 years ago
You bought 5 pounds of hamburger meat, and you want to make quarter pounders (each weigh .25 of a pound). How many quarter pound
zaharov [31]
Katy is wrong because 5 divided by .25 is 20. 20 quarter pounders can be made.
7 0
3 years ago
Find f(k - 1) when f(x) = 5x^2+ 4x – 5.
bekas [8.4K]

Plug in k-1 to each x in the function.

f(k-1)=5(k-1)^2+4(k-1)-5

f(k-1)=5(k^2-2k+1)+4k-4-5

f(k-1)=5k^2-10k+5+4k-4-5

f(k-1)=5k^2-6k-4

Hope this helps.

頑張って!

5 0
3 years ago
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