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FromTheMoon [43]
3 years ago
7

find the probability of drawing a diamond 8 through 10 on the first draw, replacing it, and drawing a black card on the second d

raw?
Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

Drawing an 8, 9 or 10 of diamonds would be 3/52 ( cards out of 52 total cards)

Drawing a black card would be 1/2 ( half the deck is black)

The probability of both happening is 3/52 x 1/2 = 3/104

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Fynjy0 [20]
100*3.14= 314

25*3.14=78.5

314-78.5=235.5

5 0
3 years ago
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Which is f(5) for the function -2x2 + 2x - 3?
Schach [20]

The value of f(5) is -37

<em><u>Solution:</u></em>

<em><u>Given function is:</u></em>

f(x) = -2x^2+2x+3

We have to find the value of f(5)

To find the value of f(5), we have to substitute x is equal to 5 in given function

Plug in x = 5 in f(x)

f(x) = -2x^2+2x+3\\\\f(5) = -2(5)^2+2(5) + 3\\\\\text{Simplify the above expression }\\\\f(5) = -2(25) + 10 + 3\\\\\text{Solve the above expression }\\\\f(5) = -50 + 10 + 3\\\\f(5) = -40 + 3 = -37

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6 0
3 years ago
(7x-y=7<br>(x+2y=6 estimate the solution to the system of equations ​
jolli1 [7]

Multiply the first equation by 2 to then use elimination by adding the 2 equations.

So, 14x-2y=14

+. x+2y=6

Equals 15x=20 so x=20/15=4/3

Plug in to first equation to get y

7(4/3)-y=7

28/3-y=7

28/3-y=21/3

So y=7/3

Plug both x and y into second equation to check

4/3+2(7/3)=

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So x=4/3, y=7/3

Hope this helps! Have a blessed day!

8 0
3 years ago
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DENIUS [597]

Answer:

<u>(1, 18)</u>

Step-by-step explanation:

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Set y equal to the new right side.

y = -3(x - 1)

Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 1

k = 18

Vertex = (h, k) / (1, 18)

5 0
3 years ago
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cestrela7 [59]
What are the following fractions
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