Lesson 7 Ancient Treasures Solidify Understanding

Ready

Find the polynomial quotient and remainder. Then indicate whether the binomial divisor is a factor of the polynomial.

1.

$(3 x^{4} + x^{3} - 14 x^{2} + 10 x - 9) \div (x + 3)$

2.

$(- 4 x^{4} + 2 x^{2} - 3 x + 1) \div (x + 1)$

3.

$(x^{4} + 2 x^{3} - 3 x^{2} + 2 x + 16) \div (x + 2)$

4.

$(5 x^{5} + 10 x^{4} - 10 x^{3} - 34 x + 33) \div (x + 3)$

5.

$(x^{7} + 1) \div (x + 1)$

6.

$(x^{3} - 13 x^{2} + 20 x + 40) \div (x - 5)$

Set

For each of the following problems, the sample size and population information are given. Identify if the conditions for the Central Limit Theorem apply for a sampling distribution of the given sample size. If the conditions are met, then identify the mean, standard deviation, and shape for each sampling distribution.

7.

The sample size is $n = 40$ , $μ = 20$ , $σ = 25$

8.

The sample size is $n = 40$ , $p = 0.6$

9.

The sample size is $n = 10$ , $μ = 20$ , $σ = 25$

10.

The sample size is $n = 40$ , $p = 0.1$

11.

The sample size is $n = 100$ , $p = 0.01$

Go

Draw the terminal ray of the indicated angle of rotation on the unit circle. Find the value of the given trig function at that position.

12.

$θ = (\frac{3 π}{4})$

$\sin θ =$

13.

$θ = (\frac{4 π}{3})$

$\tan θ =$

14.

$θ = (\frac{13 π}{6})$

$\cos θ =$

15.

$θ = k π$ , $k$ is an odd integer

$\cos θ =$

16.

$θ = (\frac{3 π}{2})$

$\sin θ =$

17.

$θ = (\frac{17 π}{6})$

$\tan θ =$

18.

$θ = (\frac{11 π}{4})$

$\tan θ =$

19.

$θ = (\frac{16 π}{4})$

$\sin θ =$