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lys-0071 [83]
3 years ago
13

What is the probability of rolling a prime number of a standard 20 sided die? (1 is not a prime number)

Mathematics
1 answer:
satela [25.4K]3 years ago
3 0

Answer:

2/5.

Step-by-step explanation:

The prime numbers from 1 to 20 are 2, 3, 5, 7, 11, 13, 17 and 19.

A total of 8.

So the probability of rolling a prime number is 8/20

= 2/5.

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Bob wants to create two pens, as shown in the figure. One pen is for a garden and it needs a heavy duty fence to keep out the cr
sattari [20]
\bf \textit{the area of either pen is 2744, thus}\\\\
A=xy\implies 2744=xy\implies \cfrac{2744}{x}=y

\bf \begin{array}{llll}
\textit{perimeter of the garden pen}\\\\
P=2(x+y)\\\\
P=2\left( x+ \cfrac{2744}{x}\right)\\\\
P=2x+\cfrac{5488}{x}\\
----------\\

\textit{cost of it}\\\\
C=15\left( 2x+\cfrac{5488}{x} \right)\\\\
C=30x+\cfrac{82320}{x}
\end{array}\qquad 
\begin{array}{llll}
\textit{perimeter of the dog pen}\\\\
P=2x+y\\\\
P=2x+\cfrac{2744}{x}\\
----------\\
\textit{cost of it}\\\\
C=5\left( 2x+\cfrac{2744}{x} \right)\\\\
C=10x+\cfrac{27440}{x}
\end{array}

notice... the dog's pen perimeter, does not include the side that's bordering the garden's, since that side will use the heavy duty fence, instead of the light one

so, the sum of both of those costs, will be the C(x)

\bf C(x)=\left( 30x+\cfrac{82320}{x} \right)+\left( 10x+\cfrac{27440}{x} \right)
\\\\\\
C(x)=40x+\cfrac{109760}{x}

so, just take the derivative of it, and set it to 0 to find the extremas, and do a first-derivative test for any minimum

8 0
3 years ago
Solve for v.<br>2 = 11 - 3v<br>v=​
Sveta_85 [38]

Answer:

The answer would be V=3

4 0
3 years ago
What is greater or less than
PIT_PIT [208]

Answer:

0.87 > 0.17

3.97 < 6.63

8.04 < 8.9

  Is that what ur looking for?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
. Which of the following statements is not true?
lesantik [10]

Answer:

If x^2 = 1, then x = 1 is NOT true because x can also be -1.

6 0
2 years ago
The table shows the number of coils in different lengths of a spring.The spring next to the table shows an example of a 2 inch s
Nastasia [14]
The answer is A: 1 coil in a spring that is 7 inches long


i am not sure so correct me if i am wrong

hope this helps
4 0
3 years ago
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