Given vector s = [4, -5, 7], u = [-6, 8, 11], and v = [-5, 3, -7]
a. Let r1(t) be the vector equation through s and u. Express the vector equation r(t) in two ways and then find r(1); r(-5); r(9)
b. Let r2(t) be the vector equation through u and parallel to r1(t), Express r2(t) in two forms and then find r(-3); r(13); r(2)
c. Let w = 2s -4v, find r(t) through u and v

20 gtt/mL, 320 drops/minute = ______mL/min

a.70

b.24

c.16

d.144

15 gtt/mL, 300 drops/minute = ______mL/min

a. 20

b. 40

c.120

d. 32

A cat with a gastrotomy tube must receive 300 kcal daily. A 15-oz can of the prescribed diet has 1500 kcal. The prescribed diet must be diluted 50:50 with water to flow through the tube, and a maximum volume of 45 ml liquid can be given at one feeding. Approximately how many feedings does this cat need daily?

a. 10

b. 8

c. 4

d. 2

A patient with an esophagostomy tube must receive 200 kcal daily. A 12-oz can of the prescribed diet has 1200 kcal. The prescribed diet must be diluted 50:50 with water to flow through the tube, and a maximum volume of 30 ml liquid can be given at one feeding. Approximately how many feedings does this patient need daily?

a. 4

b. 3

c. 2

d. 6

4. Construct a frequency distribution, find the summary statistics (including the quartiles) for customer age, and graph by each type of customer (regular or promotion). Comment on the shape of the distribution for each type and discuss similarities or differences if any. (Think whether you should create an ungrouped or grouped frequency distribution.) Label the graphs completely.

5. Construct a box-and-whisker plot and find the summary statistics (including the quartiles) for net sales by each type of customer (regular or promotion). Make sure that you format the x-axes on each plot and compare the plots using the same scale. Comment on the shape of the distribution for each type and compare.

Why are some (not all) college graduates have a difficult time finding a job that is a good match with their skills (education)? Also, why are some college graduates paid less that other college graduates when they enter the labor market? How would you solve the above two problems if you were in charge.

11.You measure the weight of 37 turtles, and find they have a mean weight of 52 ounces. Assume the population standard deviation is 10.9 ounces. Based on this, what is the maximal margin of error associated with a 92% confidence interval for the true population mean turtle weight.
Give your answer as a decimal, to two places

12.In a survey, 18 people were asked how much they spent on their child's last birthday gift. The results were roughly shaped as a normal curve with a mean of $45 and standard deviation of $8. Find the margin of error at a 80% confidence level.

13. In a survey, 20 people were asked how much they spent on their child's last birthday gift. The results were roughly shaped as a normal curve with a mean of $34 and standard deviation of $12. Construct a confidence interval at a 80% confidence level.

Give your answers to one decimal place.

.................. ± ..............

. There are ba (= 14) ways to arrange 1, 2, 3, ..., 8 in two rows of four so that (1) the integers increase in value as each row is read, from left to right, and (2) in any column the smaller integer is on top. Find, as in part (d) of Example 1.43, a) the arrangements that correspond to each of the fol- lowing. 1) 10110010 i) 11001010 lli) 11101000 b) the lists of four l's and four O's that correspond to each of these arrangements of 1, 2, 3, ...,8. 1) 1 345 ii) 1 2 37 fii) 1 2 4 5 2 6 7 8 4 5 6 8 3 6 7 8

Now, consider the following age-specific data:

1. Look at the age-specific rates in the table above. Compare the age-specific rates between the two populations? What do you conclude (1pt)?

2.Explain any difference in conclusion when comparing the crude and age-specific rates and discuss briefly the importance of considering age in this instance(2pts)

Fifteen randomly selected college students were asked to state the number of hours they slept the previous night. The resulting data are 5, 10, 7, 8, 6, 7, 7, 6, 6, 9, 4, 3, 8, 9, 7. Find the following. (Round your answers to two decimal places.)

(a) Variance s2, using formula below $ s^2 = \dfrac{\sum{(x - \overline{x})^2}}{n - 1}$ s2 =

(b) Variance s2, using formula $ s^2 = \dfrac{\sum{x^2} - \dfrac{(\sum{x})^2}{n}}{n - 1} $ s2 =

(c) Standard deviation, s

A marketing researcher predicts that college students will be more likely to purchase tickets for... A marketing researcher predicts that college students will be more likely to purchase tickets for the next football home game if their team won (vs. lost) the last game. The researcher asked 6 WSU students their willingness to purchase tickets (1= not likely at all, 7=very likely) and 6 EWU students their willingness to purhcase tickets (1=not likely, 7=very likely) (WSU won the game in the 2018 season)

WSU: 7 6 5 7 2 4

EWU: 6 5 6 5 1 6

In answering the questions, make sure to write down the following 7 steps.

Step 1. Establish null and alternative hypotheses (as a sentance and formula)

Step 2: Calculate the degrees of freedom

Step 3: calculate the t-critical using critical t-table

Step 4: calculate the Sum of Squares deviation

Step 5: Calculate t-obtained

Step 6: Specify the critical value and the obtained value on a t-distribution curve.