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ELEN [110]
3 years ago
15

A jar contains four red marbles and six green marbles. You randomly select a marble from the jar, with replacement. The random v

ariable represents the number of red marbles. What is the probability of getting exactly two red marbles out of four trials?
Mathematics
1 answer:
ioda3 years ago
3 0

Answer:

The probability of getting exactly two read marbles is P = 0,003456%

Step-by-step explanation:

So, each of the following sequences are the desired results(I will use R for a red marble and G for a green marble).

S(1) = R-R-G-G

S(2) = R-G-R-G

S(3) = R-G-G-R

S(4) = G-R-R-G

S(5) = G-R-G-R

S(6) = G-G-R-R

In all, considering there are replacement, there can be 10*10*10*10 = 10000 total sequences, so the probability of getting exactly two read marbles is

P = \frac{P(S(1)) + P(S(2)) + P(S(3)) + P(S(4)) + P(S(5)) + P(S(6))}{10000}

where

P(S(1)) = P(S(2)) = P(S(3)) = P(S(4)) = P(S(5)) = P(S(6)) = (0.4)^{2}*(0.6)^{2} = 0.16*0.36 = 0.0576.

The probability of getting exactly two read marbles is

P = \frac{6*0.0576}{10000} = 0,003456%

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Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178
kompoz [17]

Answer: [911,∞)


Step-by-step explanation:

Given: S be the number of cans collected by Shane.

Since,  Abha collected 178 more cans than Shane did.

Then, the number of cans collected by Abha = S+178

Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

So, S+178+S\geq2000

\\\Rightarrow\ 2S\geq2000-178\\\Rightarrow2S\geq1822\\\Rightarrow\ S\geq911

Hence, the solution set of the inequality will be [911,∞)


4 0
3 years ago
Of 30 students 1/3 play sports 2/3 of them play soccer. How many play soccer
agasfer [191]
1/3 of 30 is 10 because you dividing it by 3 and you would get 10.

Now 2/3 of 10 :

10/3=3.3 (2/3 so we have to multiply by 2) 3.3•2=6.6

6.6 has to be estimated because you can't have 6.6 people.

Your answer would be 6. Before I said 7 but you said I was incorrect so the only possibility left is 6.

Hoped I helped!
4 0
2 years ago
Read 2 more answers
Is 9 greater then -8?
Alex Ar [27]

Answer:

Yes. Bc 8 have a negative sign infront of it so 9 greater

4 0
3 years ago
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Please help !!!!!!!!!!!!
jekas [21]
This is for 2.X=22 so the total angle is 90° and you take away 68° and that leaves you with 22°
6 0
2 years ago
Find the measure of angle XAZ in the figure below.
Bess [88]

Answer:

m∠XAZ = 40°

Step-by-step explanation:

Since ∠YAU, ∠YAZ and ∠XAZ are the angles based at a point on a straight line, and the sum of the all angles on a line is 180°.

Therefore, m∠YAU + m∠YAZ + m∠XAZ = 180°

50° + 90° + m∠XAZ = 180°

m∠XAZ = 180° - 140°

             = 40°

Therefore, measure of angle XAZ is 40°.

5 0
2 years ago
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