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
Dmitry_Shevchenko [17]
4 years ago
12

An object was carefully weighed five times on a multiple-beam balance. The balance was zeroed each time. The masses were: 11.36

g 11.37 g 11.40 g 11.38 g and 11.39 g
a. Calculate the average value of these measurements. (Show all work.)

b. Calculate the standard deviation, s.d., of this set of measurements using the range of the data and the squareroot of the number of measurements averaged. (Show all work.)
Mathematics
1 answer:
Eddi Din [679]4 years ago
3 0

Answer:

11.38 g

0.014142

Step-by-step explanation:

part a

Mean = Sum of all results / No. of results

Mean = (11.36 + 11.37 + 11.40 + 11.38 + 11.39) / 5

Mean = 11.38 g = E (X)

part b

Var (X) = E (X^2) - (E(X))^2

S.d = sqrt (Var (X))

Compute E (X^2):

E (X^2) = (11.36^2 + 11.37^2 + 11.40^2 + 11.38^2 + 11.39^2) / 5

E (X^2) = 129.5046

(E(X))^2 = 11.38^2 = 129.5044

Var (X) = 129.5046 - 129.5044 = 0.0002

s.d = sqrt (0.0002) = 0.014142

You might be interested in
A large bag of sand weighs 48.5 pounds a small bag of sand weighs 24.6 pounds if Mrs.Waggoner buys a large bag and A small bag h
Lera25 [3.4K]

Answer: 73.1 pounds of sand.

Step-by-step explanation: 48.5 Pounds (Big Bag) + 24.6 (Small Bag)

48.5+24.6 is equal to 73.1 pounds of sand. That is how much sand was purchased altogether.

3 0
3 years ago
Two brothers, Kevin and Greg, each inherit S43000. Kevin invests his inheritance in a savings account with an annual return of 1
creativ13 [48]

Answer:

S1548.

Step-by-step explanation:

1-7% =- 0.017 and 5.3% - 0.053.

Kevin : After 1 year he has 43,000 * 0.017 = S731.

Greg:  After 1 year he has  43,000 * 0.053 =  S2279

Difference = 2279 - 731 = S1548.

4 0
3 years ago
Katrina randomly selected 64 students out of her school of 400 students and found that 40 of them want school to start at a late
SashulF [63]

- The sample size is 64.

- The point estimate of the population proportion is 0.625.

-The margin of error is approximately 16%.

6 0
3 years ago
Read 2 more answers
Failinggggggggggg mathhhhhhhhhhhhhhhhhhhhhhhhh
azamat
2. (D)
3. (B) Hope it helps
3 0
3 years ago
Read 2 more answers
If the tip varies directly with the number of guest,which equation represents the relationshipbbetween the tip,t,and the number
sergejj [24]
<span>If the tip, t, varies directly with the number of guests, g, then it means that any change in tip there is a corresponding change in the number of guests. When the tip increases the number of guests increases as well. Therefore,

t </span>α g

To change the it to equal sign, we incorporate a proportionality constant, k.

t =<span> kg
</span>
This equation will represent the relation of t to g.
6 0
3 years ago
Other questions:
  • Which fraction has repeating decimal as it’s decimal expansion
    5·1 answer
  • A manufacturing company hired 30 new employees. This hiring increased the company’s total workforce by 5%. How many employees no
    6·1 answer
  • 1.Jenny and Nola are comaring their phones. The height of Jenny's phone is 4.25 inches, and the height of Nola's phone is 4.75 i
    8·1 answer
  • Vicente se gasta 20 euros en un pantalón y una camisa. No sabe el precio de cada prenda, pero sí sabe que la camisa vale dos qui
    12·1 answer
  • 1/2(4x+10)=2 i need to get x
    12·1 answer
  • PLEASE HELP ME!!! ASAP!! ITS ALMOST DUE!!
    8·1 answer
  • What principal will earn the interest rs.750 in 3 year at the rate of 10% per year .​
    11·1 answer
  • N = 3(k + m)<br>Solve for m​
    9·2 answers
  • Which expression has a term with a coefficient greater than 1?
    5·1 answer
  • Pleaseee answer this!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!