Answer:
At most 25%
Step-by-step explanation:
The fraction of the distribution that can exceed n standard deviations from the mean is 1/n². For a standard deviation of 5 and a mean of 80, a score of 90 is (90-80)/5 = 2 standard deviations from the mean. Scores better than that can be at most (1/2)² = 1/4 = 25% of the total number of scores.
Answer:
Step-by-step explanation:
Remark
Simple answer: you can't. I mean that you can't try to use 4 numbers, but you can solve the problem. You are going to have to redraw the diagram on another sheet of paper. Follow the directions below.
Directions for diagram extension.
Go to the right hand end of the 10 unit line.
Draw a line from the intersection point of the 10 unit line and 12 unit line
Draw this line so it is perpendicular to the 18 unit line. That will mean that the new line is parallel (and equal) to x
Mark the intersect point of the new line and the 18 unit line as B
Mark the intersect point of the 18 point line and the 12 unit line as C
Given and constructed
BC = 18 - 10 = 8
BC is one leg of the Pythagorean triangle.
The new x is the other leg of the Pythagorean triangle.
12 is the hypotenuse.
Formula
x^2 + 8^2 = 12^2
x refers to the new x which is equal to the given x
Solution
x^2 + 64 = 144 Subtract 64 from both sides
x^2 +64 - 64 = 144-64 Combine
x^2 = 80 Break 80 down.
x^2 = 4 * 4 * 5 Take the square root of both sides
x = 4*sqrt(5)
Comment
If you want the area it is 4*sqrt(5)(10 + 18)/2 = 56*sqrt(5)
The area is about 316 in2
Step-by-step Divide 63 by π and by 2 to determine the radius of the clock. 63÷2÷π≈10. To find the area of the face of the clock multiply π by 102
Answer:
a) 8²
b) 2⁴ and 5⁴
Step-by-step explanation:
The power of a number is the base together with the exponent of the number.
The given expresion is
We can rewrite this as:
Over here the power being multiplied is
Also, the powers being multiplied in
are 2⁴ and 5⁴
