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tekilochka [14]
3 years ago
8

Jane randomly opens a 24 page magazine. find the probability that she would open it up to a page that is a prime number.How many

numbers from 1-24 are prime?
Mathematics
2 answers:
prohojiy [21]3 years ago
7 0
The probability that Jane opens a prime page in a 24-page magazine is 0.375. There are 9 prime numbers between 1-24 and they are: 2,3,5,7,11,13,17,19, and 23. To calculate, Probability = Events/Number of Outcomes which is 9/24 = 0.375. Hope this helps.
Sauron [17]3 years ago
7 0
The probability that Jane opens a prime page in a 24-page magazine is 0.375. There are 9 prime numbers between 1-24 and they are: 2,3,5,7,11,13,17,19, and 23. To calculate, Probability = Events/Number of Outcomes which is 9/24 = 0.375. I hope that this is the answer that you were looking for and it has helped you.
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Help me please i don't understand ​
lubasha [3.4K]

Answer:

See below.

Step-by-step explanation:

Variables:

L = length

W = width

P = perimeter

Equations:

L = W + 13

P = 2(L + W)

P = 2(W + 13 + W)

2(W + 13 + W) = 226

2(2W + 13) = 226

2W + 13 = 113

2W = 100

W = 50

L = W + 13 = 50 + 13 = 63

The length is 63 cm, and the width is 50 cm.

7 0
3 years ago
Simplifying fractions what is 27 over 81
MrRa [10]

Answer: 1 over 3

Step-by-step explanation:

81 divided by 27 is 3

8 0
3 years ago
1. A rancher wants to build a rectangular pen, using one side of her barn for one side of the pen, and using 200m of fencing for
bezimeni [28]

Answer:

100m by 50m.

Step-by-step explanation:

Let the dimension of the rectangular pen be x and y

Area, A(x,y)=xy

Let the side opposite her barn = x

Since she wants to fence only three side

Perimeter = x+2y

Length of Fencing Available = 200m

Therefore: x+2y=200 \implies x=200-2y

We want to maximize the area of the pen, A(x,y).

Substituting x=200-2y into A(x,y)=xy

A(y)=y(200-2y)\\A(y)=200y-2y^2

To maximize A(y), we find its derivative and solve for the critical points.

A'(y)=200-4y\\$Setting $A'(y)=0\\200-4y=0\\200=4y\\y=50

To ensure that this is a maximum, we use the second derivative test.

A''(y)=-4

This is negative and thus, y=50 is a maximum point.

Recall:

x=200-2y

x=200-2(50)

x=200-100

x=100m

Therefore, the dimensions of the pen that has the largest area are 100m by 50m.

4 0
3 years ago
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DENIUS [597]

Answer:

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Step-by-step explanation:

<u>Given inequality</u>

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  • |x+6| < 25

To solve this inequality graphically you need two graphs according left and right sides of inequality

<u>So the graphs should be:</u>

  • y₁ = |x + 6| and y₂ = 25

See attached for the graph

3 0
3 years ago
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