Answer:
A value two standards deviation from the mean is more likely to occur than a value three standard deviations from the mean.
Step-by-step explanation:
Standard deviation is a quantitative measure of the variability of traits of the subjects in a given population. These traits can range from age, height, weight e.t.c. This deviation is brought about by extreme or abnormal conditions, which is the reason why two deviations is more likely to occur than three deviations.
Moreover, going by the provisions of the empirical rule, If data comes from a population that is approximately symmetrical;
95% of the data will fall within two standard deviations.
99.7% will fall within three standard deviations
Find the attachment below.
Nevertheless, in a symmetrical distribution most of the data values fall around the mean. Two standard deviations is closer to the mean than 3 standard deviations hence more likely to occur.
This one is D.
The y-intercept has to be below 20 and the slope has to be above 1.
Answer:
5.9125in^2
Step-by-step explanation:
Step one:
Given data
Dimension of square= 5.25 in
Area of sqaure= 5.25^2= 27.5625 in^2
We are told that the sides of the circle touch the sides of the square
hence the diameter of the circle is 5.25in
radius= 5.25/2= 2.625 in
Area of circle= πr^2
Area of circle = 3.142*2.625^2
Area of circle=3.142*6.890625
Area of circle= 21.65 in^2
Step two:
The area that is not inside the circle
=Area of square-Area of circle
=27.5625- 21.65
=5.9125in^2
Answer:
x=5, y=4. (5, 4).
Step-by-step explanation:
2x-3y=-2
4x+y=24
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-2(2x-3y)=-2(-2)
4x+y=24
----------------------
-4x+6y=4
4x+y=24
--------------
7y=28
y=28/7
y=4
4x+4=24
4x=24-4
4x=20
x=20/4
x=5
Answer:
b) all interior angles are right angles