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SCORPION-xisa [38]
2 years ago
11

Select the correct answer. Which sentence correctly describes a data set that follows a normal distribution with a standard devi

ation of 4 and a mean of 14? A. 68% of the data points lie between 10 and 14. B. 68% of the data points lie between 8 and 12. C. 68% of the data points lie between 10 and 18. D. 68% of the data points lie between 10 and 16.
Mathematics
2 answers:
enot [183]2 years ago
8 0
Your correct answer will be option C for this question.
Artyom0805 [142]2 years ago
5 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.

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A store is having a sale on liquid soap and sponges. The cost of 6 bottles of soap is $9.12. The cost of 4 sponges is $5.00 what
Alenkinab [10]

Answer:

$6.79

Step-by-step explanation:

We need to find the cost of a bottle of soap.  We divide the cost by the number of bottles

$9.12/6 = $1.52 per bottle

We also need to find the cost for a sponge

$5.00/4 = $1.25 per sponge

We want to find the total cost of 2 bottles of soap and 3 sponges

cost = 2 * 1.52 + 3 * 1.25

       = 3.04 + 3.75

     = 6.79

7 0
3 years ago
A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
ddd [48]

Answer:

Difference in cash and plan = $155 - $149.50 = $5.50

Interest Rate = 3.68%

Step-by-step explanation:

Given:A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months

A food processor by cash = $149.50

Payment plan =  Down payment + $10*15 months

= $5 + $10*15

= $5 + $150

Payment plan = $155

Difference in cash and plan = $155 - $149.50 = $5.50

Now we have to find the interest rate

= (difference/original)*100

= (5.50/149.50)*100

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6 0
3 years ago
Suppose the population of all public universities shows the annual parking fee per student is $110, with a standard deviation of
vampirchik [111]
The probability would be 0.9738.

We first find the z-score for each end of this interval:

z = (x-μ)/(σ/√n) = (100-110)/(18/√49) = -10/(18/7) = -3.89

z = (x-μ)/(σ/√n) = (115-110)/(18/√49) = 5/(18/7) = 1.94

Using a z-table (http://www.z-table.com) we see that the probability that a score is less than the first z-score is 0.  The probability under the curve to the left of, less than, the second z-score is 0.9738.  Subtracting these we find the area between them:
0.9738 - 0 = 0.9738.
3 0
3 years ago
Monticello residents were surveyed concerning their preferences for candidates Moore and Allen in an
Svetlanka [38]
You just subtract 300 from 800 to get 500 people
8 0
3 years ago
In the diagram below, RA is parallel to ET, and RT is 21 units long. Find the length of ST
pav-90 [236]

Answer:

ST = 12 units

Step-by-step explanation:

As RA is parallel to ET, the angle in R is equal to the angle in T, and the angle in A is equal to the angle in E, so the triangle RAS is similar to the triangle SET.

If RT is 21 units, we have that RS + ST = 21 -> RS = 21 - ST

Using a rule of three with the sides of the triangle (as they are proportional), we have:

RS / ST = AR / ET

(21 - ST) / ST = 6 / 8

4 * (21 - ST) = 3*ST

84 - 4*ST = 3*ST

7*ST = 84

ST = 12 units

5 0
3 years ago
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