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GarryVolchara [31]
3 years ago
7

Three urns of the same appearance are given as follows: Urn A contains 5 red and 7 white balls. Urn B contains 4 red and 3 white

balls. Urn C contains 3 red and 4 white balls. An urn is selected at random and ball is drawn from the urn. (1) What is the probability that the ball drawn is red. (2) If the ball drawn is red, what is the probability that it came from urn A.​
Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Answer:

1. 12/26, or simplified as 6/13, or about 46%.

2. 5/26, or about 19%.

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PLEASE HELP!!
IRISSAK [1]

Step-by-step explanation:

a + b = 6

ab = 1 \times 5 = 5

a = 1  \:  \:  \:  \:  \:  \:  \:  \: b = 5

( {x}^{2}  + x) + (5x + 5)

x(x + 1) + 5(x + 1)

(x + 1)(x + 5)

Hope this is correct and helpful

HAVE A GOOD DAY!

8 0
3 years ago
Flying to Kimpala with a tail wind a plane averaged 158km/hr. On the return trip the plane only average 112km/hr. While flying b
lora16 [44]

The speed of wind and speed of plane in still air  are  23  and  135 km/h respectively.

<u>Step-by-step explanation:</u>

Let the speed of wind and speed of plane in still air  are  w  and  p km/h respectively.  

The effective speed on onward journey was  

p+w=158  ................(1)

The effective speed on return journey was  

p-w=112 ..............(2)

Adding equation (1) and equation (2) we get,  

⇒ (p+w)+(p-w) = 158+112

⇒ 2p = 270

⇒ p = 135

Putting value of p = 135 in p+w=158 we get:

⇒ p+w=158

⇒ 135+w=158

⇒ w=23

Therefore ,The speed of wind and speed of plane in still air  are  23  and  135 km/h respectively.

3 0
3 years ago
-x+6y=15 and -2x-3y=0
abruzzese [7]

-x+6y=15

x = -15

y = 5/2

-2x-3y=0

x = 0

y - 0

8 0
2 years ago
The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and
Karolina [17]

Answer:

They spend at least 69.48 minutes reading the paper.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 49, \sigma = 16

For the 10% who spend the most time reading the paper, how much time do they spend?

They spend at least X minutes, in which X is the value of X when Z has a pvalue of 0.90. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 49}{16}

X - 49 = 16*1.28

X = 69.48

They spend at least 69.48 minutes reading the paper.

6 0
3 years ago
In a school, the ratio of soccer players to volleyball players is 4:1. Which statement is true?
Diano4ka-milaya [45]
The number of soccer players is 4 times the number of volleyball players.
6 0
3 years ago
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