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kirill115 [55]
3 years ago
14

Which of the following is true for memberships lasting longer than 10 days?

Mathematics
1 answer:
QveST [7]3 years ago
8 0

Answer:

B workout gym is better deal

Step-by-step explanation:

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Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,
IrinaK [193]

Answer:

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

Step-by-step explanation:

We are given the following data in the question:

10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{225}{15} = 15

Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128

S.D = \sqrt{\dfrac{128}{14}} = 3.02

Empirical rule:

  • According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
  • About 68% of data lies within one standard deviation of the mean.
  • About 95% of data lies within two standard deviations of mean.
  • Arround 99.7% of data lies within three standard deviation of mean.

Thus, by empirical rule,

\mu \pm 1\sigma = 15\pm (3.02) = (11.98,18.02)

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

5 0
3 years ago
To run a mile, Jamal must run 4 laps around the track. His goal is to run 3 miles. Jamal has run 9 laps so far.
vodka [1.7K]
Don’t really know what your question is but 4 laps times 3 miles is 12 laps. He’s got 3 more laps to finish his goal.

Pro tip: Include the actual question
7 0
3 years ago
Read 2 more answers
Which equation represents the formula for the general term, gn, of the geometric sequence 3, 1, 1/3, 1/9, . . .?
dedylja [7]

Answer:

Explicit form: g_n=3(\frac{1}{3})^{n-1}

Recursive form: g_n=\frac{1}{3}g_{n-1} with g_1=3.

Step-by-step explanation:

The first term is 3 and we are dividing by 3 each time.

Another way to say we are dividing by 3 each time is to say we are multiplying by factors of 1/3.

If the first term is a and r is the common ratio then the geometric sequence in explicit form is:

a_n=a(r)^{n-1}

g_n=3(\frac{1}{3})^{n-1}

The recursive form for a geometric sequence is a_n=ra_{n-1} with a_1=a where r is the common ratio and a is the first term.

So the recursive form for our sequence is g_n=\frac{1}{3}g_{n-1} with g_1=3.

6 0
3 years ago
If Luke's brother earns $15 per hour, he will get a 6% increase per hour. How
jeka94
Luke’s brother will now make $15.90 per hour.
5 0
2 years ago
Work out the area of this circle
Svetach [21]

Answer:

A = 50.3 cm²

Step-by-step explanation:

<u><em>Area of a circle = </em></u>\pi r^2<u><em></em></u>

Where r = 4 cm

A = π(4)²

A = 16(3.14)

A = 50.3 cm²

5 0
3 years ago
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