Math Answers

The result of nationwide aptitude test in mathematics are normally distributed with m=80 and s= 15 what is the percentile rank of a score of 84

Puleng receives R1500,00 from a bank now, that charges 10.5% simple discount per annum. She has to pay back an amount of R1893.75 in a few months time. The number of months after which Puleng pays back the loan, rounded to one decimal place is

(1) 2.5

(2) 23.8

(3) 2.0

(4) 30.0

A survey found that the average hotel room rate in New Orleans is $88.42 and the average room rate in Phoenix is $80.61. Assume that the data were obtained from two samples of 50 hotels each and that the standard deviations of the populations are $5.62 and $4.83, respectively. At α 0.05, can it be concluded that there is a significant difference in the rates?

There are 2 groups of people. The first group of people is standing at the right hand, but the second group standing on the left side is half the number of the first group, in the middle stands one man. So if both groups plus 1 man is equal to 100, how many people are in every group?

How many grams (to the nearest five) are in nine and three eights of an ounce?

Show that 2²⁴-1 and 2¹⁶-1 are composite. Hints:use expansion of (a²-b²)

Show that any prime number is either in form of 4k+1 or 4k+3, k is any positive integer

Six professor begin courses on Monday, Tuesday, Wednesday, Thursday, friday, and Saturday, and announce their intention of lecturing at interval of 3,2,5,6,1and 4 days respectively the regulations of the university forbid Sunday a lecture(so that a Sunday a lecture must be omitted) when first will all six professors find themselves compelled to omit a lecture

Given 𝑥 ̅ = 62 and s = 8. Find the z-score value that corresponds to each of the following scores up to two decimal places.

X=70

X=78

X=82

X=50

X=42

Combination

A bag of contains 4 yellow, 8 red and 3 blue balls. How many ways can 3 balls be selected so that the following conditions are met?

a. all balls are yellow

b. all balls are red

c. There is one ball from each color

d. there are 2 blue balls

e. there is one yellow ball