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belka [17]
3 years ago
13

A student who is trying to write a paper for a course has a choice of two topics, a and

Mathematics
1 answer:
Kitty [74]3 years ago
4 0
Say she chooses topic A. She needs at least one book to arrive on time. The probability that no books arrive on time is 0.1 x 0.1 = 0.01 so the probability that at least one book arrives on time is 1 - 0.01 = 0.99.
Say she chooses topic B. She needs at least two books to arrive on time. The probability of no books arriving on time is 0.1 x 0.1 x 0.1 x 0.1 = 0.0001. The probability of exactly one book arriving on time is 4 x 0.1 x 0.1 x 0.1 x 0.9 = 0.0036 (binomial probability distribution formula - the 4 comes from 4C1). So the probability of her not getting enough books is 0.0001 + 0.0036 = 0.0037 and the probability she does get the books she needs on time is 1 - 0.0037 = 0.9963.
So she should choose topic B.
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In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-s
Radda [10]

Answer:

68%

Step-by-step explanation:

The Standard Deviation Rule = Empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question,

Step 1

We have to find the number of Standard deviation from the mean. This is represented as x in the formula

μ = Mean = 61

σ = Standard Deviation = 8

For x = 53

μ - xσ

53 = 61 - 8x

8x = 61 - 53

8x = 8

x = 8/8

x = 1

For x = 69

μ + xσ

69 = 61 + 8x

8x = 69 - 61

8x = 8

x = 8/8

x = 1

This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%

3 0
3 years ago
The 10th term of an arithmetic proression is 68 and the common difference is 7 find the first term of the sequence
leonid [27]

Answer:

5

Step-by-step explanation:

first term + (10-1)7=68

first term= 68- 63=5

3 0
3 years ago
Solve for y if: x=2 y=5x+3
nika2105 [10]
Substitute in x = 2:

y = 5(2) + 3

y = 10 + 3

y = 13
4 0
3 years ago
Read 2 more answers
8 divided by 2 4/9 plz help me now
dezoksy [38]

Answer:

3.27272727273

Step-by-step explanation:

you simplify the fraction then you make 8 into 8/1 then you divide and if you want decimal its 3.27272727273

7 0
3 years ago
PLease help me!! Each question is worth 25 points please dont get it wrong please!!
MAXImum [283]

Answer:

1. A (85)(0.08)=6.90 then (85)(0.18)=15.30 then 85 + 6.90 + 15.30 =107.10

2. 82.68

Solving;

She was charged $65 before tax. She had to pay a 6% tax (65)(0.06)=3.90 then 65+3.90=68.90

After this she added 20% of the amount after tax rather 20% of 68.90

68.90(0.20)=13.78 then 68.90+13.78=82.68

7 0
3 years ago
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