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
Anni [7]
3 years ago
12

Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14

?
OA. 68% of the data points lie between 10 and 14.
B. 68% of the data points lie between 8 and 12.
OC. 68% of the data points lie between 10 and 18.
OD. 68% of the data points lie between 10 and 16.
Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Answer:

Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation:

Given :  a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the  sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean  and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

You might be interested in
Solve each equation you must use
n200080 [17]

1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.

2)The solution for b² - 4b + 4 = 0 is x=2.

<u>Step-by-step explanation</u>:

The general form of quadratic equation is ax²+bx+c = 0

where

  • a is the coefficient of x².
  • b is the coefficient of x.
  • c is the constant term.

<u>To find the roots :</u>

  • Sum of the roots = b
  • Product of the roots = c

1) The given quadratic equation is m² - 5m - 14 = 0.

From the above equation, it can be determined that b = -5 and c = -14

The roots are -7 and 2.

  • Sum of the roots = -7+2 = -5
  • Product of the roots = -7\times2 = -14

The solution is given by (x-7) (x+2) = 0.

Therefore, the solutions are x=7 and x= -2.

2) The given quadratic equation is b² - 4b + 4 = 0.

From the above equation, it can be determined that b = -4 and c = 4

The roots are -2 and -2.

  • Sum of the roots = -2-2 = -4
  • Product of the roots = -2\times-2 = 4

The solution is given by (x-2) (x-2) = 0.

Therefore, the solution is x=2.

5 0
3 years ago
If x is a number which expression represents the statement 4 less than the product of 2 and a number
zhannawk [14.2K]
I think the expression that you need is, 4-(2x). Hope it helps!
3 0
3 years ago
X&gt;0 and 2x^2+3x-2=0 what is the value of x
vladimir2022 [97]

Step-by-step explanation:

2x²+3x-2=0

(2x-1)(x+2)

x+2=0

x=-2 (no, because x must be >0)

2x-1=0

2x=1

x=½ (yes, because x>0)

3 0
3 years ago
Card
Burka [1]

Answer:

19,27 cm^2

Step-by-step explanation:

area of triangle = (6 x 3)/ 2 = 9 cm^2

circle area : 3^2 x 3,14 = 28,27 cm^2

area of shaped region = 28,27 - 9 = 19,27 cm^2

6 0
3 years ago
Can you please use my for gauth code GHD989​
viva [34]

Answer:

what........???????............

4 0
2 years ago
Other questions:
  • Ax-b=c solve for b<br> A- b= -ax-c<br> B- b=ax+c<br> C- b= -ax+c<br> D- b=ax-c
    6·1 answer
  • if √1.225=1.107,√12.25=3.5 and √100=10, evaluate √12.25. solve this is my assignment tomorrow in school​
    14·1 answer
  • An investment grows by 22% over a 5 year period. What is its effective annual percent growth rate
    8·1 answer
  • What is the fraction in between 1/2&lt;, &lt;4/5
    12·1 answer
  • What translates the following verbal phrase correctly to algebra:<br><br> y less than 21?
    7·1 answer
  • What is the value of x in the parallelogram given . 5x-5 130 degrees
    5·1 answer
  • Mr. Walsh signed up for the payment plan when purchasing a new refrigerator. He will pay an extra $411 in interest over a period
    12·1 answer
  • Will give brainliest
    9·1 answer
  • What is this??????????????
    5·1 answer
  • -100/-20 multiplying integers​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!