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vodomira [7]
3 years ago
12

4.

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
7 0

Answer:

.093

Step-by-step explanation:

There are 63 marbles in the jar

P(pick a blue) = 32/63

Since you are not replacing that marble, so there are 62 marbles in the jar, 31 blue, 23 black, 8 white

P(pick a black) = 23/62

Now there are 61 marbles in the jar. 22 black, 31 blue and 8 white

P(not a blue) = 30/61

P(blue, black, not blue) = (32/63)(23/62)(30/61)

                                      = .093

Luden [163]3 years ago
3 0

Answer: 0.093 chance

Step-by-step explanation:

23 black + 32 blue + 8 white = 63 total

FIRST MARBLE IS BLUE:

32/63

SECOND MARBLE IS BLACK:

23/62

LAST MARBLE IS NOT BLUE:

30/61

MATH:

32/63*23/62*31/61 = 0.093

sorry if it’s wrong but I think it’s right

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Donna de paul is raising money for the homeless. She discovers that each church group requires 2 hours of let her writing and 1
Salsk061 [2.6K]

Answer:

x  =  7

y  =  3

z (max)  =  4950/3  =  1650

Step-by-step explanation:

Let call  

x numbers of church goup and

y numbers of Union Local

Then  

First contraint

2*x + 2*y ≤ 20

Second one

1*x + 3*y ≤ 16

Objective Function

z = 150*x + 200*y

Then the system is

z = 150*x + 200*y To maximize

Subject to:

2*x + 2*y ≤ 20

1*x + 3*y ≤ 16

x ≥ 0 y ≥ 0

We will solve by using the Simplex method

z - 150 *x - 200*y = 0

2*x + 2*y + s₁ = 20  

1*x + 3*y + 0s₁ + s₂ = 16

First Table

z           x          y          s₁           s₂          Cte

1        -150    -200       0            0     =      0

0          2         2           1            0     =    20

0          1          3          0            1      =     16

First iteration:

Column pivot   ( y column ) row pivot (third row) pivot 3

Second table

z           x                y          s₁           s₂                Cte

1       -250/3           0          0         200/3    =    3200/3

0      - 4/3               0          -1           2/3       =    -20/3

0         1/3               1            0           1/3       =    -20/3

Second iteration:

Column pivot  ( x column ) row pivot  (second row)  pivot  -4/3

Third table

z           x                y          s₁           s₂                Cte

1            0               0      750/12    700/6    =   4950/3

0            1                0        3/4          -1/2     =    7

0            0                1         -1/4          1/2     =  9/3

5 0
3 years ago
At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each o
Serga [27]
<span /><span>TLDR: Equation is 5(10 + x) = 6x. x = 50, so Sheila deposited $50 each 6 trips. Sherri deposited $60 each 5 trips. Both of them deposited $300 in total.

</span>Sherri deposited $10 more into her bank account than Sheila each 5 times. Expression: 5(x + 10).

Sheila deposited money 6 times
Expression: (6)(x) or 6x

Put it all together and the equation is 5(x+10)=6x. 

Solve by distributing the 5 on the right side of the equation 5(x+10) to get 5x + 50 = 6x. Subtract 5x on both sides of equation. 5x - 5x + 50 = 6x - 5x to get 50 = 1x. Divide by 1 on each side to isolate the variable. x = 50. Sheila paid $50 in each of her 6 deposits, so she deposited $300 in total. Check the equation by replacing x with 50. 

Sherri paid $60 in each of her 5 deposits because 50 + 10 is 60. 60 by 5 is also $300. 


3 0
3 years ago
how many different combinations are possible if four itemsare drawn from a group of seven different items
laiz [17]
You would just do 4 x 7, which means there are 28 combinations.
7 0
3 years ago
A question says "Mr. Dawson buys 3 packages of trading cards to divide evenly among his 4 grandchildren. There are 15 cards in e
Ronch [10]
(3 * 15) / 4 = 45/4 = 11....remainder 1....each grandkid gets 11 cards...equaling 44 cards....leaving 1 left for Mr. Dawson
3 0
3 years ago
Read 2 more answers
What ratio is proportional to 18/21
Doss [256]

Answer:

There are many.

Step-by-step explanation:

When you say proportional, you are looking for a ratio that is equivalent to the ratio given. In your case, there are many so you might need to be more specific. But still, we can help you figure it out.

An easy way to do this would be to scale it down to its simplest form and then move upwards. To find proportional ratios, just multiply denominator and the denominator with the same factor.

\dfrac{18}{21} = \dfrac{6}{7}

That is your ratio in its simplest form. Now we can scale up, I'll show you how to do one completely:

\dfrac{6}{7} x \dfrac{2}{2} = \dfrac{12}{14}

That's the same ratio scaled up by a factor of 2.

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{3}{3} = \dfrac{18}{21}

That's the ratio given

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{4}{4} = \dfrac{24}{28}

Scaled up by a factor of 4

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{5}{5} = \dfrac{30}{35}

Scaled up by a factor of 5.

The list goes on and on.


3 0
3 years ago
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