Search & Filtering
A body starts from rest and moves with a uniform acceleration of 2 m/s 2 in a
straight line.
a) What is the velocity after 5 s
b) How far has it travelled in this time?
c) When will it be 100m from its starting point?
A car accelerates from 4 m/s to 20 m/s in 8 s. How far does it travel in this time?
Differentiate between scalar and vector quantities.
Two forces of 5N and 12N act at right angles at the same point on an object. Find
by scale drawing and calculation the resultant force which is equal in magnitude
and direction to the combined effect of the two forces.
Using a scale of 1 cm to represent 10 N find the size and direction of the resultant
of forces of 30 N and 40 N acting at: a) right angles to each other, b) 60 0 to each
other.
Class=1 If sales is equal to or less than $1000, the rate is 6 percent. If sales is greater than $1000 but less than $2000, the rate is 7 percent. If the sales is $2000 or greater, the rate is 10 percent. Class=2 If the sales is less than $1000, the rate is 4 percent. If the sales is $1000 or greater, the rate is 6 percent. Class=3 The rate is 4.5 percent for all sales amount Class=any other value Output an appropriate error message
Your lab partner accidentally mixed some sodium chloride with your sample of Epsom salts (MgSO₄･7H₂O). You want to make a standard solution of magnesium ion, and this is the only sample of a magnesium salt you have. To determine the amount of magnesium salt in the mixture, you heat 100.00 g to drive off the water of hydration and find that the anhydrous mixture has a mass of 65.75 g. What is the mass in grams of the original salt mixture that you must add to 1.000 L of water to make a 0.1000 M solution of Mg²⁺ ion?
Carl and Dennis are brothers. The sum of their ages is 29. In 6 years' time Carl will be the same age as Dennis was 3 years ago.
- In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 568 said Yes. Find a 95% confidence interval for the population p (Explain your solutions):
- What is α?
- What are the confidence coefficients?
- what are p and q?
- The error E is approximately?
- What are the lower and upper limits?
- The true population proportion falls between?
- In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 568 said Yes. Find a 95% confidence interval for the population p (Explain your solutions):
- What is α?
- What are the confidence coefficients?
- what are p and q?
- The error E is approximately?
- What are the lower and upper limits?
- The true population proportion falls between?
A division-wide aptitude test in Mathematics was conducted to 1000 pupils. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal distribution.
What is the minimum score to belong to the upper 10% of the group?
What are the two extreme scores outside of which 5% of the group and expected to fall?
What is the score that divides the distribution into two such that 75% of the cases is below it?
Estimate the range of scores that will include the:
Middle 50% of the distribution.
Middle 99% of the distribution.
Find the total enthalpy for rection
2C (g) + 3H2 (g) C2H6 (g)
Given the thermochemical equations.
2C(g) + 2 O2 (g) 2CO2 (g) ∆H = -786 kJ/mol
3H2 (g) + O2 (g) 3H2O (l) ∆H = -858 kJ/mol
2CO2 (g) + 3H2O (l) C2H6 (g) + O2 (g) ∆H = +1560 kJ/mol
Write a Program: Competition Score
Your goal is to create a program that will determine the average score for an
athlete in a competition. There are 10 judges who each award a score between 0 and 10. The lowest and highest scores are thrown out, and the athlete’s score is the average of the eight remaining scores. The scorecard should have the first and the last name of the athlete on the first line and 10 space-separated numbers between 0 and 10 on the second line. The numbers should have at most 1 digit after the decimal point.
Example Input File:
Mirabella Jones
7.5 8.8 7 8.1 8 9.8 9.3 8.9
Example Output:
First run
ERROR: the scorecard could not be opened
Second run
Insufficient scores
Mirabella Jones is disqualified
Third run
Invalid scores
Mirabella Jones is disqualified
Fourth run
Mirabella Jones's results:
7.5, 8.8, 7.0, 8.1, 8.0, 9.8, 9.3, 8.9
The highest score of 9.8 and the lowest score of 7.0 were dropped
The average score is 8.59
1. P( < 2.20)
2. P( -2.5 < z < 2.01)
