Resources

Resources

Evaluate variable expressions for sequences

Use the formula

A=\frac{1}{2} h\left(D_{1}+b_{2}\right)

to find the area of the trapezoid.

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The area of the trapezoid is Choose. square centimeters.

1

. Calculate the first four moments about of the following distribution about the mean and hence find

\beta_{1}

\beta_{2}

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\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}

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x

0

1

2

3

4

5

6

7

8

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f

1

8

28

56

70

56

28

8

1

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Also find the Karl Pearson's coefficient of skewness and Bowley's coefficient of skewness.

1

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In each box, click the calculation that has a different value to the rest.

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\begin{tabular}{|c|c|c|c|c|c|c|c|}

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\frac{8}{13}+

\frac{2}{13}+

\frac{5}{13}

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\frac{4}{13}+

\frac{7}{13}

\frac{7}{13}

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30

26

2

7

7

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31

31

\overline{31}

\overline{31}

\overline{12}

12

\overline{12}

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\frac{2}{13}+

0

16

16

10

17

5

22

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31

31

31

\overline{31}

\overline{12}

\overline{12}

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9

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a Is Arun correct? Give a reason for your answer.

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\sqrt{2 \frac{7}{81}}

is a rational number? Give a reason for your answer.

Barbara Katzman bought an income property for

\$ 27,000

three years ago. She has held the property for the three years without renting it. If she rents the property out now, what should be the size of the monthly rent payment due in advance if money is worth

7 \%

compounded annually?

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The size of the monthly rent payment due should be

\$

\square

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(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)

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Saathi The heights of ten mails of a given locality are found to be

70,67,62, 68,61,68,70,64,64,66

(inches) Is it reasonable to believe that the average height is

64

inches. Test at

5\%

Significent level assuming that for

9

degrees of freedom is

1.833

x \neq 1

x \neq-1

\frac{x+1}{x-1}-\frac{x-1}{x+1}=

egin{equation}\begin{cases}b(

1

-54

-1

4

3

} \end{cases}\end{equation} what is the fourth term in the sequence?

1

-54

-1

4

3

} \end{cases}. what is the

4

th term in the sequence?

n^{\text{th}}

term of a sequence is given by

5n-3

6^{\text{th}}

term of this sequence?

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(f \circ g)(1)

for the following functions. Round your answer to two decimal places, if necessary.

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f(x)=1+\sqrt{x} \text { and } g(x)=\sqrt{x^{2}+24}

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How to enter your answer (opens in new window)

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(f \circ g)(1)=

6

th term of the arithmetic sequence

x+5,4 x+7,7 x+9, \ldots

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Show instructions

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14

2

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Find the slope and

y

-intercept of the line through the points:

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(2,-8)

(1,-2)

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=

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y

=

51

st term of the arithmetic sequence

21,6,-9, \ldots

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63

rd term of the arithmetic sequence

-17,-11,-5, \ldots

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Triangle FGH is dilated by a scale factor of

6

to form triangle

\mathrm{F}^{\prime} \mathrm{G}^{\prime} \mathrm{H}^{\prime}

\mathrm{FG}

15

. What is the measure of side

\mathrm{F}^{\prime} \mathrm{G}^{\prime}

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The derivative of the function

f

f^{\prime}(x)=\left(x^{3}-1\right) \sin (x)

f(4)=3

, then use a calculator to find the value of

f(-1)

to the nearest thousandth.

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The derivative of the function

f

f^{\prime}(x)=\left(x^{2}+3\right) \sin (2 x)

f(4)=7

, then use a calculator to find the value of

f(-1)

to the nearest thousandth.

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The derivative of the function

f

f^{\prime}(x)=x^{2}-4 x+2 \cos (2 x-4)

f(0)=1

, then use a calculator to find the value of

f(6)

to the nearest thousandth.

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The derivative of the function

f

f^{\prime}(x)=x^{2} \cos (3 x)

f(-2)=-2

, then use a calculator to find the value of

f(3)

to the nearest thousandth.

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The derivative of the function

f

f^{\prime}(x)=x^{2} \cos (3 x)

f(6)=-6

, then use a calculator to find the value of

f(2)

to the nearest thousandth.

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The derivative of the function

f

f^{\prime}(x)=x^{2} \cos (2 x+3)

f(0)=4

, then use a calculator to find the value of

f(6)

to the nearest thousandth.

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