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elena-s [515]
3 years ago
8

Travis has 6 engineering books to line up on a shelf. kelly has 4 finance books to line up on a shelf. if all the books are diff

erent, in how many more orders can travis line up his books than kelly?
Mathematics
1 answer:
finlep [7]3 years ago
3 0
The number of ways 6 different objects can be arranged in a row is given by 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

The number of ways 4 different objects can be arranged in a row is given by 4! = 4 x 3 x 2 x 1 = 24

Therefore, the number of ways which Travis can order his books more than that of Kelly is given by 720 - 24 = 696. 
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Llana [10]

Answer:

a = 3, b = 1, c = - 3

Step-by-step explanation:

Substitute n = 1, 2, 3 into the n th term

a + b + c = 1 → (1)

4a + 2b + c = 11 → (2)

9a + 3b + c = 27 → (3)

Subtract (1) from (2) term by term to eliminate c

Subtract (2) from (3) term by term to eliminate c

3a + b = 10 → (4)

5a + b = 16 → (5)

Subtract (4) from (5) term by term to eliminate b

2a = 6 ( divide both sides by 2 )

a = 3

Substitute a = 3 into (4) and evaluate for b

3(3) + b = 10

9 + b = 10 ( subtract 9 from both sides )

b = 1

Substitute a = 3, b = 1 into (1) and evaluate for c

3 + 1 + c = 1

4 + c = 1 ( subtract 4 from both sides )

c = - 3

Then a = 3, b = 1 and c = - 3

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3 years ago
e 400 trials in which the assistant maintained a neutral expression, the driver stopped in 229 out of the 400 trials. Find a 95%
Fittoniya [83]

Answer:

Step-by-step explanation:

n = 400

Proportion p = 229/400= 0.5725

For 95% confidence interval we use Z value as 1.96

Std error = 0.025

margin of error = 1.96*0.025

Confidence interval 95% = 0.5725±Margin of error

= (0.524, 0.621)

b) When smiled x becomes 277

p = 0.6925

Std error = 0.023

Margin of error= 1.96*0.023

Confidence interval = (0.647, 0.738)

Smiling increases the chances of stopping since mean and conidence interval bounds are showing increasing trend.

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