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Arturiano [62]
3 years ago
6

Assume that each bag contains 5 balls. Bag a contains 2 red and 3 white, while bag b contains 1 red, 1 white, and 3 blue. You ra

ndomly select one ball from bag a, note the color, and place the ball in bag b. You then select a ball from bag b at random and make note of its color. What is the probability that both balls are red?
Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

Answer:

2/15

Step-by-step explanation:

Firstly, we calculate the probability of picking a red ball from bag A.

P = number of expected outcomes/number of total outcomes.

P(R1) in bag A = 2/5

Now, we take a ball from bag A and place in bag B. If we selected a red ball, the number of balls in bag B now equals = 2 red balls while the total number of balls now equal 6 balls. Now, the probability is :

P(R2) = 2/6 = 1/3.

The total probability P(R) = P(R1) × P(R2) = 2/5 × 1/3 = 2/15

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What is the standard deviation of the data set? Round to the nearest tenth if needed. 2, 4, 7, 8, 9
barxatty [35]

Hiiiiiiii, okay here's the full- explanation for you, so here's the final answer. The explanation of how i got the answer is also below! Hope this helped you!!

Answer:

2.9

Step-by-step explanation:

First the mean or average = sum / data points (or N) = (2 + 4 + 7 + 8 + 9) / 5 = 6  

Now we take each of the individual values subtract the mean, and then square them, and add it all up.  

(2 - 6)^2 + (4 - 6)^2 + (7 - 6)^2 + (8 - 6)^2 + (9 - 6)^2 = 34  

Then we divide this by degrees of freedom = N - 1 to find the sample standard deviation. Note that this is different from the population standard deviation, where we would just divide N, but we use this because our data set is small, like less than 30 points.  

34 / (N - 1) -----> = 34 / (5 - 1) = 8.5  

Now, this is the variance, so we take the square root of the variance to get the sample standard deviation:  

√(8.5) = 2.9 (rounded to 1 decimal place)  

Note that scientific calculators, even my $20 version can do these kind of statistics calculations. Just enter the data set as a table of values in statistics mode, and press a few buttons, you're done!

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3 years ago
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A cube has a surface area of 3,750 square feet.<br><br> Find the length of one side.
OlgaM077 [116]

length of one side = 25 feet.
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Ostrovityanka [42]
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Point P partitions directed line segment AB in a 1:1 ratio. Find the
olganol [36]

Answer:

P(2,2)

Step-by-step explanation:

we know that

If point P partitions directed line segment AB in a 1:1 ratio

then

point P is the midpoint AB

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