Using the Empirical Rule, it is found that:
- a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
- b) Approximately 95% of the amounts are between $38.03 and $49.11.
- c) Approximately 68% of the amounts fall between $40.73 and $46.27.
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The Empirical Rule states that, in a <em>bell-shaped </em>distribution:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
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Item a:


Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.
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Item b:


Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.
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Item c:
- 68% is within 1 standard deviation of the mean, so:


Approximately 68% of the amounts fall between $40.73 and $46.27.
A similar problem is given at brainly.com/question/15967965
They probably want 880 pesos, since they asked you do intermediate rounding
but a more accurate answer would be
883.20 pesos
To combine the functions, you'd substitute in 2.76r for y in 0.16y. This would give you 0.16(2.76r), which simplifies to 0.4416r, but they want you round this to the nearest hundredth, so its really 0.44r. Substitute in the 2000 for r and you get 0.44 * 2000 which is 880 pesos
I hope this helps you
2 (x+x+x+x+x+24+24)=120
4x+48=60
x=3
Area =2x.24
Area =2.3.24
Area =144
9514 1404 393
Answer:
AD= 8
DC= 15
Angle a= 112°
Angle b= 68°
Angle c= 112°
Step-by-step explanation:
We have to assume the figure is a parallelogram.
Opposite sides of a parallelogram are congruent, so ...
BC = AD = 8
AB = DC = 15
Opposite angles are congruent, and adjacent angles are supplementary.
180° - ∠D = Angle a = Angle c = 112°
∠D = Angle b = 68°
5 % of the students choose other. 95% choose either Saturday or Sunday.
Let x be the number of students who participated.
(5/100) * x = 8 Multiply both sides by 100
5 * x = 8*100
5*x = 800 Divide by 5
x = 800/5
x = 160 students participated in the survey <<<<< Answer