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
GenaCL600 [577]
3 years ago
6

A normal curve with a mean of 500 and a standard deviation of 100 is shown. Shade the region under the curve within one standard

deviation of the mean. How much of the data falls within the shaded region?

Mathematics
1 answer:
N76 [4]3 years ago
6 0

Answer:

And for this case we want to find how much of the data within the shaded region given in the figure attached.

And we can use the zscore formula given by:

z = \frac{X -\mu}{\sigma}

And if we find the z score for the limits we got:

z = \frac{400-500}{100}=-1

z = \frac{600-500}{100}= 1

And we want to find this probability using the normal standard distribution or excel:

P(-1

So we would expect about 68.2 % of the data within one deviation from the mean

Step-by-step explanation:

For this case we know that the variable of interest let's say x follows a normal distribution with the following parameters:

X \sim N(\mu = 500, \sigma =100)

And for this case we want to find how much of the data within the shaded region given in the figure attached.

And we can use the zscore formula given by:

z = \frac{X -\mu}{\sigma}

And if we find the z score for the limits we got:

z = \frac{400-500}{100}=-1

z = \frac{600-500}{100}= 1

And we want to find this probability using the normal standard distribution or excel:

P(-1

So we would expect about 68.2 % of the data within one deviation from the mean

You might be interested in
Which of the following is a non-linear equation?
Lana71 [14]

Answer:

iv ; xy + x/y = 3

Step-by-step explanation:

A non linear equation is one in which there is no product of two different variables or the same variable

What this mean is that we have the highest polynomial power as 1 or we simply have polynomials of degree 1

Looking at the given options, we can see the product xy

What this mean is that the polynomial is of degree 2 and that makes the equation a non linear as we have a polynomial of more than 1 degree

8 0
2 years ago
The P.E. teacher at Sunshine Middle School wants to know which sports are popular among students in her school. Since it would t
sineoko [7]
28 BECAUSE IT CONTINUES THE PATTERN OF SUBTRACTING 4 FROMTHE AMOUNT PULLED PER GRADE
5 0
3 years ago
WILLL GIVE A BRAINLEST FOR RIGHT ANSWER
olchik [2.2K]

Answer:

with a sample survey

6 0
3 years ago
Read 2 more answers
Katherine invested $86,000 in an account paying an interest rate of 52%
earnstyle [38]

Answer: $4,331‬

Step-by-step explanation:

I will assume that the question meant 5.2% not 52% as this is quite excessive.

Katherine after 13 years.

Convert the variables;

n = 13 years = 13 * 365 = ‭4,745‬ days

r = 5.2% = 5.2/365 = 5.2/365%

Future value = P * ( 1 + r)^n

= 86,000 * (1 + 5.2/365%)⁴⁷⁴⁵

= $169,068

Michael after 13 years;

If compounded continuously, the formula is;

Future value = Pe^rt

= 86,000 * e⁰.⁰⁵ ˣ ¹³

= $164,737

Difference = 169,068 - 164,737

= $4,331‬

5 0
3 years ago
Joey is buying plants for his garden. He wants to have at least twice as many flowering plants as nonflowering plants and a mini
vodomira [7]
(24, 12) and (36, 0).  The least amount of flowering plants occurs when x=2y, and the largest amount occurs when y=0.  These two points satisfy both conditions and both sum to 36.
7 0
3 years ago
Read 2 more answers
Other questions:
  • What's the answer for these problems?
    8·1 answer
  • Laura's gross annual salary is $44184. What is the maximum amount of rent she can afford to pay?
    8·1 answer
  • The perimeter of a rectangular concrete patio is 100 meters. it is 30 meters long. how wide is it?
    13·1 answer
  • Find the inverse of the relation. Use proper notation. {(8,−1),(−8,−1),(−2,−8),(2,8)} please help!!
    8·1 answer
  • Find the approximate length of the diagonal of this rectangular prism
    10·2 answers
  • Please help me and answer!! 50 POINTS! i had to reupload oops
    10·2 answers
  • Solve the following equation: <br>8(x - 4) = 4(x - 7) ​
    6·2 answers
  • What is 7 -7/8 by the way this is a fraction question
    5·2 answers
  • David rents DVDs from a company that charges a $7.00 monthly fee and $1.50 for each DVD rental. He ends up paying $20.50 for the
    11·1 answer
  • (8a+5B-3)+3(b-3) what is that
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!