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mart [117]
3 years ago
5

The graph below shows the distribution of students grades on their last math test. Based on the Empirical rule, what percent of

students made..
*btwn 80 n 85 on the test?
*btwn 80 n 95 on the test?
* below 85 on the test?
*above an 80 on the test?

Mathematics
1 answer:
timurjin [86]3 years ago
5 0
Based on the emperical rule
the distribution will be as follows

btwn 80 n 85 on the test - 34%
btwn 80 n 95 on the test - 82%
below 85 on the test - 50%
<span>above an 80 on the test - 84%</span>
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Masja [62]
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3 years ago
The population of a city in 2000 was 500,000 while the population of the suburbs of that city in 2000 was 700,000. Suppose that
Mnenie [13.5K]

Answer:

The population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

Step-by-step explanation:

  • 6% of the city's population moves to the suburbs (and 94% stays in the city).
  • 2% of the suburban population moves to the city (and 98% remains in the suburbs).

The migration matrix is given as:

A= \left \begin{array}{cc}  \\ C \\S \end{array} \right\left[ \begin{array}{cc}  C&S\\ 0.94&0.06 \\0.02&0.98 \end{array} \right]

The population in the  year 2000 (initial state) is given as:

\left[ \begin{array}{cc}  C&S\\ 500,000&700,000  \end{array} \right]

Therefore, the population of the city and the suburb in 2002 (two years after) is:

S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\&  \end{array} \right\left \begin{array}{cc} \end{array} \right\left[ \begin{array}{cc} 0.94&0.06 \\0.02&0.98 \end{array} \right]^2

A^{2} = \left[ \begin{array}{cc} 0.8848 & 0.1152 \\\\ 0.0384 & 0.9616 \end{array} \right]

Therefore:

S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\&  \end{array} \right\left \begin{array}{cc} \end{array} \right \left[ \begin{array}{cc} 0.8848 & 0.1152 \\ 0.0384 & 0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 500,000*0.8848+700,000*0.0384& 500,000*0.1152 +700,000*0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 469280& 730720 \end{array} \right]

Therefore, the population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

6 0
3 years ago
The sales tax on a $350.00 computer is $22.75. Find the sales tax rate.
svetoff [14.1K]

The sales tax rate is 6.5%


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MaryBeth works from home as a graphic designer. Recently she raised her hourly rate by 6​% to cover increased costs. Her new hou
mojhsa [17]

Answer:

$21.59

Step-by-step explanation:

The original hourly rate was x.

She raised it 6%. The raise is 6% of x, or 0.06x.

The new rate is x + 0.06x or 1.06x.

The new rate is $22.89.

1.06x = 22.89

Divide both sides by 1.06.

x = 21.59

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Which equation gives the length of an arc, s, intersected by a central angle of 3 radians in a circle with a radius of 4 in.?
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Answer:

12 in

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the arc length formula is s = rФ, where Ф is the central angle in radians.

Here, the arc length is s = (4 in)(3 radians) = 12 in

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