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Nikitich [7]
3 years ago
14

A bag contains 6 red balls and 5 black balls . Two balls are picked , one after the other . Find the probability that :

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0

Answer:

<u>There are:</u>

  • 6 red balls - R
  • 5 black balls - B
  • Total number = 11 balls
<h3>A. Without replacement</h3>

i. <u>Two blacks </u>

  • P(BB) = 5/11*4/10 = 2/11

ii. <u>The first is black</u>

  • P(B) = 5/11

or, alternatively

  • P(BR or BB) = 5/11*6/10 + 2/11 = 3/11 + 2/11 = 5/11

iii. <u>Both are of same colour</u>

  • P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11
<h3>B. With replacement</h3>

i. <u>Two blacks </u>

  • P(BB) = 5/11*5/11 = 25/121

ii. <u>The first is black</u>

  • P(B) = 5/11

or alternatively

  • P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11

iii. <u>Both are of same colour</u>

  • P(BB or RR) = 5/11*5/11 + 6/11*6/11 = 25/121 + 36/121 = 61/121
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You are preparing for a trip to Canada. At the time of your trip, each U.S. Dollar is worth 1.293 Canadian dollars and each Cana
madreJ [45]

Answer:

193.95 Canadian dollars

Step-by-step explanation:

Given: Each U.S. Dollar is worth 1.293 Canadian dollars and each Canadian dollar is worth 0.773 U.S. Dollar.

To find: Value of 150 U.S. dollars in terms of Canadian dollars

Value of 1 U.S. dollar = 1.293 Canadian dollars

To find 150 U.S. dollars in terms of Canadian dollars, multiply 150 by 1.293

Value of 150 U.S. dollars in terms of Canadian dollars = 150 × 1.293 = 193.95 Canadian dollars

4 0
3 years ago
The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and musc
ArbitrLikvidat [17]

Answer:

a) Sample correlation coefficient, r = 0.7411

bi) test statistic, t = 4.102

bii) P-value = 0.000736

Step-by-step explanation:

a) The formula for the sample correlation coefficient is given by the formula:

r = \frac{S_{xy} }{\sqrt{S_{xx} S_{yy} }} }

S_{xx} = 2,648,130.357\\S_{yy} = 36.7376,\\S_{xy} = 7408.225

r = \frac{7408.225}{\sqrt{2648130.357*36.7376} }

r = 0.7511

b)

i) formula for the test statistic is given by the formula:

t = \frac{r\sqrt{n-1} }{\sqrt{1 - r^{2} } }

sample size, n = 4

t = \frac{0.7511\sqrt{14-1} }{\sqrt{1 - 0.7511^{2} } }

t = 4.102

ii) Degree of freedom, df = n -2

df = 14 -2

df = 12

The P-value is calculate from the degree of freedom and the test statistic using excel

P-value =(=TDIST(t,df,tail))

P-value = (=TDIST(4.1,12,1)

P-value = 0.000736

4 0
3 years ago
A rectangle is 3 feet long by 4 feet wide
egoroff_w [7]

Answer:

20ft^2

Step-by-step explanation:

The length is currently three feet, if you add two feet to three that makes five feet. Five times four is twenty.

I hope this helps!

7 0
2 years ago
Read 2 more answers
Someone help me solve this and could you explain why too?
yulyashka [42]

Answer:

3.5

Step-by-step explanation:

Well its easiest to just plug in the answers and see like 2 times 3.5 is 7.

Another way is saying 7 divided by 2 is 3.5

then u check to make sure its the same for all the numbers.

Which it is because 21 divided by 6 is also 3.5 :)

5 0
3 years ago
(5a-5)(2a+2)<br> Find each product
weeeeeb [17]
(<span>5a-5)(2a+2)
= 5a*2a -5*2a + 2*5a - 5*2
= 10a^2  - 10a + 10a  - 10
= 10a^2 - 10


The product of the equation is </span>10a^2 - 10
6 0
3 years ago
Read 2 more answers
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