An urn contains eight red and seven blue balls. A second urn contains an unknown number of red balls and nine blue balls. A ball is drawn from each urn at random, and the probability of getting two balls of the same color is 151/300. How many red balls are in the second urn?

Answers

Answer 1
Answer:

Answer:11 red

Step-by-step explanation:

Given

Urn I contains 8 red and Seven Blue balls

Urn 2 also contains red and  9 blue balls

Probability of selecting two balls of same color=P\left ( both\ red\right )+P\left ( both\ blue\right )

P=(151)/(300)

Let Urn  2  contains n red balls

(151)/(300)=(8)/(15)* (n)/(n+9)+(7)/(15)* (9)/(n+9)

(8n+63)/(15* (n+9))=(151)/(300)

160n+1260=151n+1359

9n=99

n=11

So Urn 2 contains 11 red balls


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0.0075Gm converted to km

Answers

1Gigameter(Gm)= 1000000 km
0.0075Gm=0.0075 divide by 1000000
=0.0000000075km

A rectangle's length is three times its width.  Let w denote the rectangle's width.  What polynomial represents the rectangle's area? 

Answers

Width = ' W '
Length = 3 times as long = 3W

Area = (length) x (width) = (3W) x (W) = 3W²

What is 5/7 x 10? in simplest form?

Answers

Answer:  7.142857 or 7 1/7

Step-by-step explanation:          

Answer:

7.142857 or 7 1/7 is the answer to your problem. Hello mel ;)

Solve the equation. 33 = p - 6.71
a. 39.71
b. 26.29
c. 39.71
d. 26.29

Answers

33 = p - 6.71

Add 6.71 on both sides

33 + 6.71 = p - 6.71 + 6.71

p = 33 + 6.71

p = 39.71


Your final answer is a. 39.71 and c. 39.71.
answer (c) 39.71

hope it would help

The data set below has an outlier.2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14

Which value is changed the most by removing the outlier?

A: the range
B: the median
C: the lower quartile
D: the interquartile range

Answers

2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14

range: 14 - 2 = 12
median: 12
lower quartile: 10 
interquarile range: 14 - 10 = 4

10, 10, 11, 11, 12, 12, 12, 13, 14, 14
range: 14 - 10 = 4
median: 12
lower quartile: 10.5
interquartile range: 14 - 10.5 = 3.5


2 is the outlier.

the value that change is most is A. THE RANGE. 
From 12, it became 4 when the outlier was removed from the data set.

the value that changes the most is the range

Which of the following is equal to angle C?A.cos (a/c)
B.sin (a/c)
C. tan^-1 (c/a)
D. cos^-1 (c/a)

Answers

tangent = opposite/adjective
tan(C) = c/a
We can use an inverse ratio to find the measure of <C.
C = tan^-1(c/a)
tan(C)=O/A=c/a

Therefore:

C=tan⁻¹(c/a)

So your answer is C.