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Parallelogram ABCD.


1) Diagonals AC and BD meet at E.DE is 8 cm and AC is 13cm.

Questions:

  • how long is BD?
  • how long is AE?
  • how did you solve for the lengths of line segment BD and AE?
  • what property did you apply?

Hemoglobin(g percent) values were recorded for a sample of 20 children who were part of a study of acute leukemia. The varience of the observation is 5 test the hypothesis if this data provide sufficient evidence to indicate that the population varience is greater than 4?

Studied nine subjects who underwent baffle procedure for transposition of greater artery.at baseline the systemic vascular resistant measured is WU×m2 value at rest yielded a standard deviation of 28.test the hypothesis if we can conclude from this data the SVR Varience of the population of similar subjects with TGA is not 700?

The heights of 100 students are normally distributed with a mean height of 16 centimeters and



standard deviation of 5.9 centimeters. Answer the following in percent form.



a. How many of these students would you expect to have heights less than 167 centimeters?



b. How many of these students would you expect to have heights greater than 153 centimeters?



c. How many of these students would you expect to have heights between 150 and 165



centimeters?



d. Find the area of items a, b and c.



e. Compute for the 75th Percentile.

An element with mass 630 grams decays by 18.8% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?



Let P(x) be the statement “x spends more than five hours every weekday in class,” where the




domain for x consists of all students. Express each of these quantifications in English.




a) ∃𝑥𝑃(𝑥)




b) ∀𝑥𝑃(𝑥)




c) ∃𝑥¬𝑃(𝑥)




d) ∀𝑥¬𝑃(𝑥)

A box contains 6 red balls, 5 blue balls, and 10 green bas. In how many ways can you choose 2 red balls and 5 green balls




A truck hauling a cylindrical steel ta

nk has to pass under an overhead parabolic arch bridge

which has span of 7.32m and 6.10m high. If the tank is 1.83m in

diameteris placed in the truck with sides vertical, and the top of the tank is 3.05m above the street level, can the truck pass the bridge? If so,what is the smallest clearance from the top of the tank



Circles has radius 5 and tangent to the line 3x+4y=24 at the point (2, 412⁄). Illustrate thenfindthe equations of thecircles


|4| >2 if -2 <1<2


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