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ch4aika [34]
3 years ago
7

A box contains 2 plain pencils and 2 pens. A second box contains 7 color pencils and 3 crayons. One item from each box is chosen

at random. What is the probability that a pen from the first box and a crayon from the second box are selected?
Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0
In the box containing the 2 plain pencils and 2 pens, there would be a 50% chance of getting a pen. In the other box containing 7 color pencils and 3 crayons there would be a 30% chance of getting a crayon.
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Identify the domain and range
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Find the solution set for the given inequality. -7x + 3 > 45 A) Show your work to solve this inequality (B) Graph the solutio
scoundrel [369]

Answer:

See explanation

Step-by-step explanation:

Given the inequality -7x+3>45

A) Add -3 to both sides of inequality:

-7x+3-3>45-3\\ \\-7x>42

Divide by -7 (remember, dividing the inequality by negative number changes the sign of inequality):

x

B) Plot open circle at -6 on the number line and shade all values of x which go to the left from -6 (see attached diagram).

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3 years ago
Find all complex solutions of 7x^2-7x+3=0
Sedaia [141]

Answer:

The complex solutions are

x =  (\frac{7-\sqrt{35}  i }{42} , ) x =  \frac{7 + \sqrt{35} i }{42})

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation  7 x² - 7 x +3=0

                     x =  (\frac{-b -\sqrt{b^{2}-4ac } }{2ac} ,  \frac{-b +\sqrt{b^{2}-4ac } }{2ac})

Given standard equation

                         a x² +b x +c =0

 a = 7 , b= -7 and c=3

<u><em>Step(ii):-</em></u>

<u><em></em></u>x =  (\frac{-(-7) -\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)} ,  \frac{-(-7) +\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)})<u><em></em></u>

<u><em></em></u>x =  (\frac{7-\sqrt{(49-84 } }{42} ,  \frac{7 +\sqrt{(49-84 } }{42})<u><em></em></u>

x =  (\frac{7-\sqrt{35i^{2} }  }{42} ,  \frac{7 + \sqrt{35i^{2} }  }{42})

x =  (\frac{7-\sqrt{35}  i }{42} ,  \frac{7 + \sqrt{35} i }{42})

<u><em></em></u>

8 0
3 years ago
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