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mixas84 [53]
2 years ago
13

In 2003, the Accreditation Council for Graduate Medical Education (ACGME) implemented new rules limiting work hours for all resi

dents. A key component of these rules is that residents should work no more than 80 hours per week. The following is the number of weekly hours worked in 2016 by a sample of residents at the Tidelands Medical Center. 78 85 82 79 77 82 81 82 81 81 82 78 What is the point estimate of the population mean?
Mathematics
1 answer:
Alborosie2 years ago
8 0

Answer:

80.67 hours

Step-by-step explanation:

Data provided in the question:

The number of weekly hours worked :

78 85 82 79 77 82 81 82 81 81 82 78

total number of observations = 12

Now,

Mean = (Sum of all the data values) ÷ (Total number of data values)

or

Mean = ( 78 + 85 + 82 + 79 + 77 + 82 + 81 + 82 + 81 + 81 + 82 + 78 ) ÷ 12

or

Mean = 968 ÷ 12

or Mean = 80.67 hours

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Which of the following includes a coefficient?
Mumz [18]

A 3x + 2

Step-by-step explanation:

3x+2 is a polynomial.

If the variable in a  term of polynomial is multiplied by a number, then this number is called the "coefficient"

It contains a first degree term as highest degree term and one constant term.

coefficient=3

constant=2

variable=x(first degree term)

8 0
2 years ago
a 12 foot tall building casts on 8 foot long long shadow. how long of a shadow will a 5 foot tall women have
grin007 [14]
This is just a basic proportion. 5/8 = x/12. So the 5 foot tall women would have a 7.5 foot shadow.
7 0
2 years ago
Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles
astra-53 [7]

Answer:

It will take Lin an hour and 25 minutes at her constant speed, and it will take Jada at her constant speed an hour and 30 minutes.

SO, Lin will arrive at 4:25

and Jada will arrive at 4:30

There is a 5 minute difference in time.

Step-by-step explanation:

From the facts given, Lin can walk 13 miles in 5 hours which when you divide means she can walk 2.6 mph (miles per hour), and Jada can walk 2.5 mph.

To get these answers you divide the current speeds into the total distance

For example, in Lin's case...

3.25 (The 3 and 1/4 mile converted to decimal form)

2.6 (Lin's Average speed per hour)

3.25/2.6=1.25

1.25 (1 hour and 25 minutes)

5 0
2 years ago
The amount of time it takes for a student to complete a statistics quiz is uniformly distributed (or, given by a random variable
topjm [15]

Answer:

(A) 0.15625

(B) 0.1875

(C) Can't be computed

Step-by-step explanation:

We are given that the amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 32 and 64 minutes.

Let X = Amount of time taken by student to complete a statistics quiz

So,   X ~ U(32 , 64)

The PDF of uniform distribution is given by;

    f(X) = \frac{1}{b-a} ,  a < X < b      where a = 32 and b = 64

The CDF of Uniform distribution is P(X <= x) = \frac{x-a}{b-a}

(A) Probability that student requires more than 59 minutes to complete the quiz = P(X > 59)

   P(X > 59) = 1 - P(X <= 59) = 1 - \frac{x-a}{b-a} = 1 - \frac{59-32}{64-32} = 1-\frac{27}{32} = 0.15625

(B) Probability that student completes the quiz in a time between 37 and 43 minutes = P(37 <= X <= 43)  = P(X <= 43) - P(X < 37)

    P(X <= 43) = \frac{43-32}{64-32} = \frac{11}{32} = 0.34375

    P(X < 37) = \frac{37-32}{64-32} = \frac{5}{32} = 0.15625

    P(37 <= X <= 43) = 0.34375 - 0.15625 = 0.1875

(C) Probability that student complete the quiz in exactly 44.74 minutes

     = P(X = 44.74)

The above probability can't be computed because this is a continuous distribution and it can't give point wise probability.

3 0
2 years ago
93 27 14 what is next in the sequence?
Assoli18 [71]

Answer:

4

Step-by-step explanation:

9×3=27

2×7=14

1×4=4

nice logic

6 0
2 years ago
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