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kirill115 [55]
3 years ago
5

A bag contains 10 marbles: 3 are green, 2 are red, and 5 are blue. Jose chooses a marble at random, and without putting it back,

chooses another one at random. What is the probability that the first marble is red and the second is blue? Write your answer as a fraction in simplest form.
Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0
We know that
g=3
r=2
b=5
total marbies=g+r+b------> 3+2+5----> 10

a) <span>probability that the first marble is red
P(red)=r/total marbies------------> 2/10-----> 1/5

b) </span><span>probability that the second marble is blue
in this case total marbles-------> 9
P(blue)=b/total marbles----------> 5/9

c) </span><span>the probability that the first marble is red and the second is blue
(1/5)*(5/9)=1/9

the answer is
1/9</span>
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Answer:

5

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Step-by-step explanation:

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2 years ago
The current temperature is 48F. It is expected to drop 1.5F each hour. Determine how many hours the temperature will be 36 F.
Nina [5.8K]

Answer: 6 hours

Step-by-step explanation:

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3 years ago
How many blank pages remain
Ierofanga [76]
B) 14. 

If you start with subtracting the 8 pages from 50, you get 42 remaining pages. Then it says 2/3 of the REMAINING pages so you divide 42 into thirds. 42/3=14. You want 2/3 of that, so you multiply the 14 by two to get 28 (it's like there are three piles of 14 pages and you want only 2 out of the three piles). So now you've used 28 pages + the original 8. You've used a TOTAL of 36 pages. Subtract 36 from 50 and you get 14 left. 
5 0
3 years ago
Read 2 more answers
Amaya's test scores in Algebra 1 are 78 and 91. She has one more test left and wants to earn a B for the course, which is from 8
ICE Princess25 [194]
Let x be the score Amaya gets on the final test. She wants her average of all 3 tests to be between 80 and 89: 

<span>80 ≤ (78 + 91 + x) / 3 ≤ 89 </span>

<span>Multiply everything by 3: </span>
<span>240 ≤ 78 + 91 + x ≤ 267 </span>
<span>240 ≤ 169 + x ≤ 267 </span>

<span>Subtract 169 from everything: </span>
<span>240 - 169 ≤ x ≤ 267 - 169 </span>
<span>71 ≤ x ≤ 98 </span>

<span>Answer: </span>
<span>She needs to score between 71 and 98 to get a B for the course.</span>
3 0
3 years ago
What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0
Tom [10]

Answer:

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

Step-by-step explanation:

The given equation is

(2x+3)^2+8(2x+3)+11=0

Let us treat this as a quadratic equation in (2x+3).

where a=1,b=8,c=11

The solution is given by the quadratic formula;

(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}

We substitute these values into the formula to obtain;

(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}

(2x+3)=\frac{-8\pm \sqrt{64-44} }{2}

(2x+3)=\frac{-8\pm \sqrt{20} }{2}

(2x+3)=\frac{-8\pm2\sqrt{5} }{2}

(2x+3)=-4\pm \sqrt{5}

(2x+3)=-4-\sqrt{5} or (2x+3)=-4+ \sqrt{5}

2x=-3-4-\sqrt{5} or 2x=-3-4+ \sqrt{5}

2x=-7-\sqrt{5} or 2x=-7+ \sqrt{5}

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

5 0
3 years ago
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