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ad-work [718]
3 years ago
15

The data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. the standard deviation of this dat

a is (drop down menu), and (drop down menu2)% of the population will fall below the mark of 7.
drop down menu1-
-6.6
1.8
2.2
4.8

drop down menu2-
34
68
84
95

Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Answer:

i)

the standard deviation of this data is 2.2

ii) 84%

Step-by-step explanation:

We have been informed that the data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. This implies that we shall be dealing with the applications of the empirical rule.

In a normal distribution, the mean is also the mode as well as the median of the distribution. This implies that the mean is at the center of the distribution. In our case, the mean is 4.8. The vertical lines represents data points that lie 1, 2 and 3 standard deviations away from the mean.

From the graph, both 11.4 and -1.8 lie 3 standard deviations away from the mean on either side. We can thus use the following equation to solve for the unknown standard deviation;

mean + 3(sigma) = 11.4

where sigma is the standard deviation.

our mean is 4.8, therefore;

4.8 + 3(sigma) = 11.4

3(sigma) = 6.6

sigma = 2.2

ii)

In order to determine the percentage of the population that will fall below the mark of 7, we shall first determine how many standard deviations away from the mean the value 7 lies.

To do this, we can use the following equation;

4.8 + n(2.2) = 7

2.2n = 2.2

n = 1

Therefore, the data point 7 lies one standard deviation away from the mean to the right.

The percentage of the population that will fall below one standard deviation away from the mean is;

68 + 13.5 + 2.35 = 83.85%

Using the empirical rule

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Eastville has a population of 32,000 and is gaining 500 people per year. Lakeside has a population of 45,000 and is losing 1,000
Semenov [28]

Answer:

  in about 8 2/3 years

Step-by-step explanation:

The population difference of 13000 people is being erased at the rate of 1500 people per year. It will be gone in ...

  13000/1500 = 26/3 = 8 2/3 . . . . years

The population of Lakeside will be 45000 -8667 = 36333 at that time. Eastside's population will be the same.

Eastville and Lakeside will both have populations of 36,333 in 8 2/3 years.

8 0
3 years ago
Please help me I'm so done with math
Wewaii [24]
This problem is easy the correct choice for it will be B.
7 0
3 years ago
Twice a number X exceed 5 by atleast 4 find all possible value of x​
OverLord2011 [107]

Answer:

x≥4.5

x is all number greater than or equal to 4.5

Step-by-step explanation:

2x≥5+4

2x≥9

x≥9/2

x≥4.5

x is all number greater than or equal to 4.5

7 0
3 years ago
What are two fractions equivalent to 5/12
saul85 [17]

Answer:

10/24 and 15/36, more answers possible

Step-by-step explanation:

if you multiply both the numerator and denominator by the same number, it will always be equivalent to 5/12, as you can simplify it back to that fraction.

5/12, multiply both by two, and you have 10/24

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5 0
3 years ago
-3.2 + (-4.6) + 5.4 = ?? please show how you got your answer
Dovator [93]
-3.2+(-4.6)+5.4
when you add a negative number it is the same as just subtracting it.
-3.2-4.6+5.4
-3.2-4.6 can be done like this: -(3.2+4.6) making it -7.8
-7.8+5.4
-7.8+5.4 can be done like this -(7.8-5.4) making the final answer-2.4

Hope this helps :)
3 0
3 years ago
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