0<x<1 and 0<y<1
x>0 so x is positive and y>0 so y is also positive.
When you multiply two positive numbers you always get a positive number, so the product of x and y must be positive, or greater than 0.
xy>0 - it must be true
xy<0 - it can't be true
Also when you divide a positive number by a positive number you always get a positive number, so the quotient of x and y must be positive.
x/y<0 - it can't be true
D and E can be true, but don't have to. It depends on the values of x and y. If x>y, then x-y>0 is true and x-y<0 isn't true; if x<y, then x-y>0 isn't true and x-y<0 is true.
Therefore, only A <u>must</u> be true.
Answer:
t=0.21
Step-by-step explanation:
Given 
and a population mean 
.
#We state our hypothesis as:
The evidence available should validate either the null or alternative hypothesis.
#We calculate the test statistic as:
Hence, the test statistic is t=0.21
If you don't want to express this into fractions, then you take the inverse of the exponents in your denominator. For example, 8 would be 8^-1, x^4 would be x^-4, y^3 would be y^-3 and z would be z^-1. Then, just multiply all of them. The final answer would be
3 x 8^-1 x a²b³c^5x^-4y^-3z^-1
I hope my explanation helped you understood the solution :)
Answer:
7
Step-by-step explanation:
If you divide 8y / 8 then you have to do the same thing to 56. When you do, y = 7
Answer:
The percentage of people that could be expected to score the same as Matthew or higher on this scale is:
= 93.3%.
Step-by-step explanation:
a) Data and Calculations:
Mean score on the scale, μ = 50
Distribution's standard deviation, σ = 10
Matthew scores, x = 65
Calculating the Z-score:
Z-score = (x – μ) / σ
= (65-50)/10
= 1.5
The probability based on a Z-score of 1.5 is 0.93319
Therefore, the percentage of people that could be expected to score the same as Matthew or higher on this scale is 93.3%.
