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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
I think of number I add 14 to the number and multiply the result by 3 if my final answer is 51 what number did I think of​
erma4kov [3.2K]

Answer:

-1

Explanation:

Let the number be x.

Then the equation will be:

3(x+18) = 51

=> 3x + 54 = 51

=> 3x = 51 - 54

=> 3x = -3

=> x = -3/3

=> x = -1

So, the number you thought of is -1.

4 0
3 years ago
Read 2 more answers
Answer quickly please.
jeka57 [31]

Answer:

8.333333

Step-by-step explanation:

 3x+2(4+6x)=133

  3x+8+12x=133                      First I distibuted the 2 too the 4 and 6x

15x+8=133                                 Then I added the x es 3x and 12x

15x+8-8=133-8                         Then I subracted 8 from both sides

15x=125                                    That leaves with this

 15x/15=125/15                          Now I divide 15 from both sides to isolate x

x= 8.33333                                 that is the answer

                             check

                  3x+2(4+6x)=133

                 3*8.333333+2(4+6*8.333333)=133

                  24.999999 +2(4+ 49.999998)=133

                    24.999999+2( 53.999998)=133

                         24.999999+107.999996=133

                              132.999995=133

                       

                                 You can not get an exact answer for this problem

4 0
3 years ago
The cost of parking a motor home in a state park includes a one time fee of $180, plus a daily rate of $55 per day. Anthony prep
HACTEHA [7]

Answer:

Anthony paid for 7 days of parking.

Step-by-step explanation:

From the information given, the cost of parking a motor home in a state park would be equal to the one time fee plus the result of multiplying the daily rate for the number of days:

c=180+55x, where c is the cost of parking the motor home and x is the number of days.

Now, you can replace c with 565 that is the amount Anthony prepaid and you can solve for x to be able to find the number of days he paid for:

565=180+55x

565-180=55x

385=55x

x=385/55

x=7

According to this, Anthony paid for 7 days of parking.

7 0
3 years ago
an elephant at the zoo lost 24 pounds over 6 months. The elephant lost the same amount of weight each month. Write an integer th
Viefleur [7K]


The elephant lost 4 pounds each month. Because he is losing weight, and not gaining weight, you have to make the answer negative
3 0
3 years ago
Please help me!!
nikitadnepr [17]

its the first one

Step-by-step explanation:

because per pertains to to x

8 0
3 years ago
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