Math Answers

x 0 1 2 3 y 8 1 −6 −13

What is an equation that describes the relationship?

One of the bases of the trapezoid is 5 units and the height of it is 12 units. If the area

of the trapezoid is 138 square units, then what is the length of the other base?

examine the f:r->r defined by f(x)={1/6(x+1)^3 x is not equal to 0 5/6 x=0} for continuity on R.If it is not continuous at any point of R,find the nature of discontinuity there

Patterns can be represented in different ways. Mention and describe five ways of representing patterns. Use examples to explain your description. 

show that u e^-2xy sin x2 y2 is harmonic

Does the sample data truly represent the population data at 5% level of significance using hypothesis testing in one variable?

lim [(x-3)/(x-1)]^x = 1/e^2

x→∞

Let f(x) = 3tan^4x+2k and g(x) = -tan^4x+8ktan^2 x + k for 0 ≤ x ≤ 1, where 0 < k < 1. The graphs of f and g intersect at exactly one point. Find k. My book gets an answer of 1/4 where as I get k=4. Please explain.

There are the scores of 20 students in a 20-item test in Mathematics in the Modern World: 1, 7, 9, 4, 12, 15, 18, 20, 15, 14, 13, 15, 20, 20, 3, 5, 16, 18, 15 and 13. Find the following:

Answers:

1. Quartile3 =

2. Decile4 =

3. Percentile75 =

Scores of ten students in a spelling test.

11, 8, 12, 7, 5, 3, 4, 15, 9, 6. Find the variance and standard deviation of ungrouped data.

Answers:

1. Variance =

2. Standard Deviation =