1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex787 [66]
3 years ago
15

Weights were recorded for all nurses at a particular hospital, the mean weight for an individual nurse was 135 lbs. with a stand

ard deviation of 15. If 19 nurses are selected at random, find the probability that the mean weight is between 125 and 130 lbs
Mathematics
1 answer:
Aloiza [94]3 years ago
3 0
Given:
population mean, μ =135
population standard deviation, σ = 15
sample size, n = 19

Assume a large population, say > 100,
we can reasonably assume a normal distribution, and a relatively small sample.
The use of the generally simpler formula is justified.

Estimate of sample mean
\bar{x}=\mu=135

Estimate of sample standard deviation
\s=\sqrt{\frac{\sigma^2}{n}}
=\sqrt{\frac{15^2}{19}}=3.44124  to 5 decimal places.

Thus, using the normal probability table,
P(125
=P(\frac{125-135}{3.44124}
=P(-2.90593
=P(Z
=P(Z

Therefore 
The probability that the mean weight is between 125 and 130 lbs 
P(125<X<130)=0.0731166-0.0018308
=0.0712858



You might be interested in
Josh invested $12,000 in mutual funds and received a sum of $20,000 at the end of the investment period. Calculate the ROI.
tresset_1 [31]

Answer:

ROI = 66.67%

Step-by-step explanation:

Given:

josh investment= $12,000

Received sum= $20,000

ROI=?

ROI is the return on investment that gives the loss or gain in any investment and is calculated by the following formula:

ROI= (interest/investment) x 100

Finding interest:

interests= received sum- investment

              = 20,000-12,000

              =8000

Putting values in ROI formula we get:

ROI= (8000/12000) x 100

      = 66.67%

Hence the return on investment is 66.67%!

3 0
3 years ago
12-2 one step equations
Grace [21]

Answer:

N + 3 = -5

n= -8

N-4=9

n=13

4+N=10

n=6

-10+N=3

n=13

N-10=1

n=11

-11+n=-12

n=-1

N+19=20

n=1

15+N=-10

n=-25

N-6=-12

n=-6

N+4=16

n=12

Step-by-step explanation:

5 0
3 years ago
Abe is buying wrapping paper.
fenix001 [56]

Answer:

So you need to compute all the rates to see which is the best deal.

$1.79/12.5ft^2=$0.1432 per ft^2

$5.29/40ft^2=$0.13225 per ft^2

$8.49/50ft^2=$0.1698 per ft^2

$6/60ft^2=$0.10 per ft^2

So the last option is the cheapes per square foot and thus is the best deal.  Ordered from least to greatest.

Sherbert, blue, red, and green

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
If x = -4, calculate 2x squared - 5
Varvara68 [4.7K]
You just substitute the value of x in the given equation:


f(x) = 2x^2 - 5

f(-4) = 2 (-4)^2 -5 = 27

f(x) : a name given to the equation
f(-4): refer to the equation when the value of the independent variable x has the value between the brackets.
5 0
3 years ago
Please help! I’ve always had trouble with these questions. It’d be a big hand.
deff fn [24]

2. c = 47,000 × n, where c is the cost of n number of bears.

3. a) The cost to ride 5 rides = $20.50, the cost to ride 8 rides = $28.00

The equation for the pattern, C(x) = 15.50 + 2.50 (r - 3), where C is the cost and r is the number of rides.

b) The cost to ride 12 rides = $36.00.

Step-by-step explanation:

Step 1; To find the cost of one bear, we divide the cost of bears by the number.

If 4 bears cost $188,000, 1 bear costs = \frac{188000}{4} = $47,000.

If 7 bears cost $329,000, 1 bear costs = \frac{329,000}{7} = $47,000.

So the equation is c = 47,000 × n, where c is the cost to buy n bears.

Step 2; For every additional ride, the price increases by $2.50. So the equation for the pattern is C(x) = 13.50 + 2.50 (x - 3).

When the number of rides is 5, C(5) = 15.50 + 2.50 (5-3) = 15.50 + 2.50 (2) = 15.50 + 5.0 = $20.50.

When the number of rides is 8, C(8) = 15.50 + 2.50 (8-3) = 15.50 + 2.50 (5) = 15.50 + 12.50 = $28.00.

When the number of rides is 12, C(12) = 15.50 + 2.50 (12-3) = 15.50 + 2.50 (9) = 13.50 + 22.5 = $36.00.

3 0
3 years ago
Other questions:
  • Write an equation and solve: Twice a number, increased by 3 is 7.
    6·2 answers
  • Please help! Need answered! Please and thank you.
    11·2 answers
  • If the interval (a, infinity) describes all values of x for which the graph of f(x)=4/x^2-6x+9 is decreasing, what is the value
    14·2 answers
  • What is 3x +99 2(8*3)= 135<br> what is x equal to?
    12·1 answer
  • 3 If OP 9, then AB 2 3 4
    12·2 answers
  • What is the greatest common factor for 12 and 54? enter your answer in the box.
    7·2 answers
  • Plz help meee<br> Find the x and the y <br> Plz I need work to
    15·1 answer
  • BRAINLIEST TO BEST ANSWER :D
    6·2 answers
  • I don’t know the answer for this
    9·1 answer
  • george’s average bowling score is 180; he bowls in a league where the average for all bowlers is 150 and the standard deviation
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!