Math Answers

The result of NAT scores in Mathematics are normally distributed with μ=70 and σ=10. What is the percentile rank of a score of 75?

Let p, q, and r be true, false and false, respectively. Determine the truth value of the

following?

a.) (p → q) ∧∼ r

b.) q ↔ (p ∧ r)

Write each of the propositions in the form “p if and only if q”:

a.) For you to get a passing mark in this course, it is necessary and sufficient that you

learn how to solve mathematics problems.

b.) If you read the newspaper every day, you will be informed, and conversely.

A game costs $9.00 to play. In the game, there is a bag that contains 14 balls; 4 are red, 8 are green, and 2 are yellow. The player of the game draws one ball at random from the bag, and the player wins $15.00 if they draw a red ball, nothing if they draw a green ball, and $19.00 if they draw a yellow ball. What is the expected value of this game for the player? Round your answer to the nearest cent

The heights of oshs male students in your school 33are distributed with a mean of 156cm and standard deviation of 10 cm. Describe the sampling distribution of 20 students

The speedometer on a car is calibrated to read faster than the actual speed. A speed of 55km/h show as 60km/h on the speedometer

a) Calculate the actual speed when the speedometer is showing 90km/h?

b) What speed shows on the speedometer when the car is travelling at 120km/h?

In a Science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are normally distributed, what percent of the score is:

Less than 50?

If a population with size 3 has a standard deviation of 2.4, what is the standard deviation of the sampling distribution of its means? The sampling distribution has a sample size of 2 and all possible samples are drawn without replacements.

find the surface area of the object obtained by rotating y=4+3x^2, 1<=x<=2 about the y axis

Tests made on the breaking strength of 10 pieces of a metal gave the following results: 578, 572, 570, 568, 572, 570, 570, 572, 598 and 584 kg. Test if the mean breaking strength of the wire can be assumed as 577 kg