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Mariana [72]
3 years ago
9

A box contains 65 balls numbered from 1 to 65. If 9 balls are drawn with replacement, what is the probability that at least two

of them have the same number
Mathematics
1 answer:
lesya692 [45]3 years ago
6 0

Answer:

Probabilty= 7.66*10^-3

Step-by-step explanation:

A box contains 65 balls numbered from 1 to 65.

9 balls are drawn with replacement.

Probabilty of selecting a number = 1/65

Probabilty of selecting a number

= 0.0154

Probabilty of at least 2 numbers out of 9 selected to have Same number

Probabilty= 9C2(0.0154)^2(0.9846)^7

Probabilty= 7.66*10^-3

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Which set of numbers includes only integers?
Lelu [443]

Answer:

{14,23,654,0,9}

Step-by-step explanation:

The first three contain negative numbers and decimal points therefor the last one {14,23,654,0,9} is correct.

3 0
3 years ago
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Express the confidence interval (0.036, 0.086) in the form of p-e< p
lina2011 [118]

Answer:

p-e< p < p+e

(0.061 - 0.025) < 0.061 < (0.061 + 0.025)

0.036 < 0.061 < 0.086

Step-by-step explanation:

Given;

Confidence interval CI = (a,b) = (0.036, 0.086)

Lower bound a = 0.036

Upper bound b = 0.086

To express in the form;

p-e< p < p+e

Where;

p = mean Proportion

and

e = margin of error

The mean p =( lower bound + higher bound)/2

p = (a+b)/2

Substituting the values;

p = (0.036+0.086)/2

Mean Proportion p = 0.061

The margin of error e = (b-a)/2

Substituting the given values;

e = (0.086-0.036)/2

e = 0.025

Re-writing in the stated form, with p = 0.061 and e = 0.025

p-e< p < p+e

(0.061 - 0.025) < 0.061 < (0.061 + 0.025)

0.036 < 0.061 < 0.086

6 0
3 years ago
What is the area of the path that Julie walks everyday? Round your answer to the nearest hundredth.
Travka [436]
1.35=area
formula for area of a triangle is base times height divided by two and therefore 1.5 times 1.8 divided by two is 1.35
3 0
3 years ago
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Find the indicated area under the curve of the standard normal​ distribution; then convert it to a percentage and fill in the bl
galben [10]

Answer:

95%

Step-by-step explanation:

About 95% of the area is within two standard deviation in standard normal distribution. This can be explained by finding the probability within 2 standard deviation using standard normal distribution.

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P(-2<Z<2)=P(-2<Z<0)+P(0<Z<2)

P(-2<Z<2)=0.4772+0.4772

P(-2<Z<2)=0.9544

Thus, About 95% of the area is between z2 and z2

4 0
3 years ago
Please Help, I need it for my homework
Naily [24]

Answer:

A)

p1 (0,0) p2 (1,2) given from the graph

slope = (y2-y1)/ (x2-x1 )

slope (m) = 2

y = mx+ b

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y = 2x

b)

x = 0

y = 5

(0,5)

C)

gradient = slope

y = 3x + b

point given (0,12)

y = 3x + 12

5 0
2 years ago
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