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lesantik [10]
3 years ago
12

According to a 2016 survey, 6 percent of workers arrive to work between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be sele

cted at random from all workers in 2016. Let the random variable W represent the number of workers in the sample who arrive to work between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers are independent. What is closest to the standard deviation of W?
Mathematics
1 answer:
Yuliya22 [10]3 years ago
6 0

Answer:

Closest standard deviation of W = 4.11

Step-by-step explanation:

Randomly selected workers = n =300

Probability of workers arriving between 6:45 to 7:00 A.M = p = 6% = 0.06

According to binomial distribution:

mean = μ = n.p

                = 300(0.06) = 18

variance = σ² = n.p(1-p)

                      = (300)(0.06)(1-0.06)

                      = (18)(0.94)

                      = 16.92

standard deviation = σ = 4.11

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Answer:

What two numbers add to get 32           16+16=32

What two numbers multiply to get -64        -8*8=-64

Step-by-step explanation:

4 0
3 years ago
Maria bought seven boxes. A week later
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44 boxes. 22 / 1/2 = 44
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4 years ago
Julio is training for a swimming race. The first part of his training schedule is shown. Session 1 2 3 456 Swimming distance (mi
Volgvan

An arithmetic sequence is a sequence in which the difference between each consecutive term remains same (constant).  

The explicit formula for an arithmetic sequence is A_n=a+(n-1)d, where a is first term of sequence, d is the common difference between consecutive terms.

A) We can see from Julio's swimming distance that it is in arithmetic sequence as after every successive training session Julio's swimming distance increased by 0.30 miles.  

0.55-0.25=0.30

0.85-0.55=0.30

1.75-1.45=0.30

Therefore, we can see that Julio's training schedule is an arithmetic sequence.

B) Let us find Julio will take how many days to swim 2.95 miles by using explicit formula.

A_n=a+(n-1)d

Let us substitute our given information in above formula.

2.95=0.25+(n-1)0.30

2.95=+0.25+0.30n-0.30

2.95=0.30n-0.05

2.95+0.05=0.30n

3.00=0.30n  

n=\frac{3.00}{0.30}=10

We are told that Julio swims every two days, this implies that he would swim on alternate days. So he will swim 2.95 miles on 10*2 =20th day.

Let us find 20th day will be which day. As Julio started his training schedule on Tuesday, 20th day will be a Sunday. Therefore, Julio will swim for 2.95 miles on a Sunday.  


6 0
3 years ago
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Vaselesa [24]

Answer:

\boxed{Area = 28.12 cm^2}

Step-by-step explanation:

Area of Parallelogram = Base * Height

Where base = 3.7 cm, Height = 7.6 cm

=> Area = 3.7 * 7.6

=> Area = 28.12 cm^2

5 0
3 years ago
Somebody please help me. This makes zero sense.
earnstyle [38]

Answer:

d

Step-by-step explanation:

rearrange it like an equation.

take everything else out of the middle apart from x.

make sure that what you do to the middle you do to both sides

6 0
3 years ago
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