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Nadya [2.5K]
3 years ago
6

In a bag, there are only black pins, green pins, pink pins and white pins

Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Answer:

P of white: 0.26

P of green: 0.39

Step-by-step explanation:

Assume the probability of a white pin is p.

Then the probability of a green pin is (3/2)p because their ratio is 3:2.

The sum of the probabilities must be 1.

0.1+(3/2)p+0.25+p=1

(5/2)p+0.35=1

(5/2)p=0.65

p=(2/5)(0.65)=0.26

(3/2)p=0.39

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viva [34]

Answer:

correct

Step-by-step explanation:

6 0
3 years ago
If x=6 , y=8 , and z=3<br><br> 2x+3y-z<br><br> Is the answer 33?
Oduvanchick [21]
Yes.
2x = 12
3y = 24
-z = -3

12 + 24 - 3 = 33
3 0
3 years ago
At the apple pan 4 burgers and 3 fries cost 26.50. 5 burgers and 5 fries cost $36.25. what is the cost for each item?
netineya [11]
Fries are $2.50 and burgers are $4.75.

Our system of equations for this situation would be

\left \{ {{4b+3f=26.50} \atop {5b+5f=36.25}} \right.

We want the coefficients of one of the variables to be the same in order to eliminate one of them; we will make the coefficients of f the same.  To do this, multiply the top equation by 5 and the bottom equation by 3:

\left \{ {{5(4b+3f=26.50)} \atop {3(5b+5f=36.25)}} \right. &#10;\\&#10;\\ \left \{ {{20b+15f=132.50} \atop {15b+15f=108.75}} \right

We subtract the bottom equation:
\left \{ {{20b+15f=132.50} \atop {-(15b+15f=108.75)}} \right. &#10;\\&#10;\\ 5b = 23.75

Divide both sides by 5:
5b/5 = 23.75/5
b = 4.75

Burgers are $4.75.

Substitute this into the first equation:
4(4.75) + 3f = 26.50
19 + 3f = 26.50

Subtract 19 from both sides:
19 + 3f - 19 = 26.50 - 29
3f = 7.50

Divide both sides by 3:
3f/3 = 7.50/3
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8 0
3 years ago
Which polynomial can be factored using the binomial theorem?
Galina-37 [17]

Answer:

Step-by-step explanation:

I think the one you want is the last one, but I've never called it that.

21x^2 + 147x + x^3 + 343

x^3 + 343 is a cubic binomial. It factors into (x + 7) (x^2 - 7x + 49)

21x(x + 7) + (x + 7)(x^2 - 7x + 49)

(x + 7) [ 21x - 7x + x^2 + 49)

(x + 7) [x^2 + 14x + 49]

(x + 7) ( x+7)^2

(x + 7)^3

It's the only answer that does factor. There must be a simpler way of doing it, but this will give you the right answer.

4 0
3 years ago
Sara has 845 beads to put on the bracelets she is making. It takes 13 beads to make each bracelet. How many bracelets can Sara m
nikdorinn [45]

Answer:

65

Step-by-step explanation:

845 beads divided by 13 beads is 65. You can make 65 bracelets.

3 0
2 years ago
Read 2 more answers
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