Math Answers

A study was conducted at Virginia Tech to de- termine if certain static arm-strength measures have an influence on the "dynamie lift" characteristics of an individual. Twenty-five individuals were subjected to strength tests and then were askod to perform a weight- lifting test in which weight was dynamically lifted over- head. The data are given here.

Dynamie Lift, y Arm Strength

17.3 19.3 19.5 19.7

Individual Z17 71.7 48,3 23 88.3 75.0 22.9 91.7 23.1 100.0 73.3 65.0 26.4 26.8 27.6 28.1 75.0 10 88.3 68.3 96.7 76.7 78.3 11 28.2 12 13 28.7 29.0 14 29.6 15 29.9 29,9 30.3 31.3 36.0 39.5 60.0 16 71.7 17 85.0 18 85.0 19 88.3 20 100.0 21 40.4 100.0 22 44.3 100.0 23 44.6 91.7 24 50.4 55.9 100.0 25 71.7

(a) Estimate o and di for the lincar regression curve HYje = Bo + Bz.

(b) Find a point estimate of pyY ja0

(c) Plot the residuals versus the r's (arm strength). Comment

A spherical tank 4.5m in diameter contains water to a depth of 3m. Find the volume of the water. 

The English alphabet contains 21 consonants and fivevowels. How many strings of six lowercase letters of theEnglish alphabet contain:

a) exactly two vowels?

b) at least two vowels?

Let x represent the number of mountain climbers killed each year. The long- term

variance of x is approximately σ2 =136.2. Suppose that for the past 8 years, the variance

has been s = 115.1. Use a 1% level of significance to test the claim that the recent

variance for number of mountain-climber deaths is less than 136.2.

For the year 2013 (E.C), the average fuel consumption of HU vehicles was 200 liters per

day and the standard deviation is 90 liters per day. The manager of the system claims that

the average fuel consumption has increased this year. Assume that – to test the claim, the

manager sampled 40 vehicles of HU, and the mean of selected vehicles’ fuel

consumption is 160 liters per day. Formulate hypothesis testing with 1% α; assume the

distribution is normally distributed

What is/are the outlier/s in this data set?

 10, 32, 19, 8, 22, 29, 68,36,  14, 49, .

Find the sum-of-products expansions the Boolean function F(x, Y, 2) that equals 1 if and only if

a)x = 0.

b) xy = 0.

c) x +y = 0.

d)xyz = 0.

A sample of college students was asked how much they spent daily on a cell phone plan (to the nearest peso).

Monthly Cell Phone Plan Cost (P)

Number of Students

10 - 18

6

19 - 27

8

28 - 36

10

37 - 45

7

what is the total frequency

Express the given proposition using P,Q,R loyal connectives

P:you are sick

Q:you miss tha examination

R: you pass this subject

You did not miss the examination if and only if you pass the subject

27. On December 31, 2020, the partnership of Abe, Bravo, Charlie and Delfin decided to liquidate with the following account balances. Cash NCA Liab. Bravo Charlie Abe Bravo Charlie Delfin Loan Loan (10%) (20%) (45%) (25%) 20,000 180,000 100,000 10,000 5,000 15,000 25,000 15,000 30,000 Assuming that Bravo and Charlie are limited partners and Abe, Bravo, Charlie and Delfin are solvent up to P10,000; P15,000; P10,000 and P5,000 respectively; determine the cash settlement given to Abe if the NCAS were sold for P100,000 (round to nearest peso).