To find the test statistic or z-score given sample number (n), sample mean (x), standard deviation (σ), and population mean (μ), we can use

Given that n = 36, x = 24.6, μ = 20, and σ = 12,


From this, we see that the test statistic is 2.3.
Answer: 2.3
Answer:
x=9
Step-by-step explanation:
4x+6+7x+15=120 combine like terms it becomes 11x+21 =120 take away 21 from 120 , leaves you with 11x=99 divide by 11 to get x alone leaves you with x=9 :)
Answer:
sin x = 3/5
cos y = 3/5
sin x and cos y are equal
Step-by-step explanation:
First we need to find the length of the hypotenuse
We can use the Pythagorean theorem
a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 +8^2 = c^2
36+64 = c^2
100 = c^2
Taking the square root
sqrt(100) = sqrt(c^2)
10 = c
The hypotenuse is 10
Since this is a right triangle we can use trig functions
sin x = opp side/ hypotenuse
sin x = 6/10 = 3/5
cos y = adj / hypotenuse
cos y = 6/10 = 3/5
sin x and cos y are equal
Answer:
(7,5)
Step-by-step explanation:
{2x + 4y = 34
{4y = 27 - x
2x + 27 - x = 34
x=7
4y = 27 - 7
y = 5 so the answer is ( 7,5)