Objects that weigh about 1 kilogram
2 answers:
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Answer:
About 95% of data lies between 15.6 and 32.4
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 2.4
Standard Deviation, σ = 4.2
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Empirical Formula:
- Almost all the data lies within three standard deviation from the mean for a normally distributed data.
- About 68% of data lies within one standard deviation from the mean.
- About 95% of data lies within two standard deviations of the mean.
- About 99.7% of data lies within three standard deviation of the mean.
We have to find the percentage of data lying between 15.6 and 32.4
Thus, we have to find the percentage of data lying within two standard deviations of the mean. By Empirical formula about 95% of data lies between 15.6 and 32.4
Answer:
a = 120°
b = 60°
Step-by-step explanation:
Angle a and 60° are suplementary. The sum of supplementary angles is 180° (straight angle).
a + 60° = 180°
a = 180° - 60°
a = 120°
The sum of angles in the quadrilateral is 360°. Notice how two of the angles in the quadrilateral are marked as right angles (angles marked with a square). Each of them is 90°.
b + 90° + a + 90° = 360°
Substitute a with the value calculated in the previous step.
b + 90° + 120° + 90° = 360°
Solve for b.
b + 300° = 360°
b = 60°
