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
DedPeter [7]
3 years ago
10

A statistics practitioner determined that the mean and standard deviation of a data set were 120 and 30, is respectively. What c

an you say about the proportions of observations that lie between each of the follow- ing intervals?
a. 90 and 150
b. 60 and 180
c. 30 and 210
Mathematics
1 answer:
BartSMP [9]3 years ago
4 0

Answer:

a) 68% of the observations lie between 90 and 150.

b) 95% of the observations lie between 60 and 180.

c) 99.7% of the observations lie between 30 and 210.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Standard deviation = 120

Mean = 30

a. 90 and 150

This is within 1 standard deviation of the mean.

By the Empirical Rule, 68% of the observations lie between 90 and 150.

b. 60 and 180

This is within 2 standard deviations of the mean.

By the Empirical Rule, 95% of the observations lie between 60 and 180.

c. 30 and 210

This is within 3 standard deviations of the mean.

By the Empirical Rule, 99.7% of the observations lie between 30 and 210.

You might be interested in
-11 X +4+ 8X -4+ 3X equals
maksim [4K]

Answer:

0

Step-by-step explanation:

First what you want to do is add together the common numbers

So, take all of the X's and add them together

(-11, 8, and 3)

-11x + 8x + 3x

-3x + 3x

0

So that all evens out

Now just find the other values

(4 and -4)

4 - 4

0

This equation equals 0

Hope this helps!!!

-Unicorns110504

*Please mark brainliest*

6 0
2 years ago
Read 2 more answers
Zamira and Courtney share a 16 oz box of cereal. By the end of the week, Zamira has eaten 38 of the box, and Courtney has eaten
12345 [234]

Answer:

12/25 ths of the box is left.

Step-by-step explanation:

I'm assuming you mean 14% and 38%

If so then the first thing you'd do is put 38 and fourteen over 100 such as:

38/100 and 14/100.  You do that because since its a percentage, its the same as the number of that percentage over 100.

Since you now have like terms, you can add them together, in which you add the two numerators (top row), but leaving the denominator (bottom row) the same, and it would give you:

52/100

What you want to do after that is simplify it. Once you simplify it, the simplified version of this is technically still the same as the non-simplified version, just easier to use.

Once you simplify it once, you will get:

26/50 and then if you simplify it again, you'll get 13/25

KEEP IN MIND that this is the amount that HAS BEEN EATEN ALREADY.

After that, you wan to subtract your part from your whole meaning you'd subtract: 25/25 - 13/25

Going back to earlier, you subtract the numerator and leave the denominator the same ONLY because they have like terms(The DENOMINATORS match)

After subtracting, you will get an answer of 12/25ths, which cannot be further simplified either.

Hope this helped!

4 0
2 years ago
On Dec. 4, 1998, sunrise was at 6:58 and sunset was at 4:12.
zhuklara [117]
The length of the daylight was 9 hr 10 min
6 0
2 years ago
$3,000 after 5 years at an interest rate of 3.0 % is the nearest cent.
vladimir2022 [97]
<span>$ 3,450.00

</span>Equation:
A = P(1 + rt)
6 0
3 years ago
Read 2 more answers
There are 26 baseball teams in the league.Each team has 18 players.Whats a number sentence that will provide a reasonable estima
klio [65]
The anwser is along the lines of "there are 26 teams in the league, and if each team has 18 players then 26 times 18 is equal to 468 players in the league.
hope this helps and dont forget to hit that heart :)
6 0
2 years ago
Other questions:
  • John is catering a luncheon and needs
    10·1 answer
  • If f(x) = x - 5 then match each of the following.
    9·1 answer
  • Why can a problem with extra information be difficult to solve?
    10·1 answer
  • What is 1/4 times 2/4
    6·1 answer
  • Jason has a credit card that charges 2% interest on unpaid balances each month. He spent $300, but only makes the minimum paymen
    10·1 answer
  • !HELP HELP HELP HELP!
    14·1 answer
  • HELP WITH MATHH!!!!!!!!!!
    9·1 answer
  • Which expression uses the distributive property to represent the sum of 28+42
    11·2 answers
  • What fractions are greater than 7/12
    13·1 answer
  • Karen is applying for the nursing school at the University of Davis. Before applying, she received a breakdown of the tuition an
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!