Each angle has a sin, cos, and tan associated with it.
in a right angled triangle there are two other angles which each have ratios.
Answer:
StartRoot 53 EndRoot units
XY = √53
Step-by-step explanation:
Choose which is point 1 and point 2 so you don't confuse the coordinates.
Point 1 (–4, 0) x₁ = –4 y₁ = 0
Point 2 (3, 2) x₂ = 3 y₂ = 2
Use the formula for the distance between two points.




Therefore the line of segment XY is √53.
Answer: When the focus is on just one group of objects were are using categorical probabilities.
The easy why to think of this is the word category. In this case, we are looking at individual categories of probabilities. The rest of the choices involved dealing with multiple events and samples.
Answer with explanation:
Given : Sample mean =
Standard deviation : 
Sample size : n = 36
Claim : 
∴ 

Since the alternative hypothesis is two tail , then the test is two tail test.
By using a z statistic and a 0.05 level of significance. Reject
if z < -1.960 or is z> 1.960.
Then , the test static for population mean is given by :-


We reject
since
. We have statistically significant evidence at
to show that the mean amount of garbage per bin is not different from 50.
1 cartons of juice = $4.20
3 single cartons = 4.20 * 3 = $12.60
1 pack = $9.45
He saved 12.60 - 9.45 = $3.15
So, he saved $3.15, compared to the total ($12.60)
To calculate the percentage, we will do a proportion:
3.15 (money saved) : 12.60 (total of 3 single cartons) = x (how much percentage) : 100 (total)
3.15 : 12.6 = x : 100
To calculate x, we will moltiplicate the ends (where we have known numbers) than divide all per 12.6
So
x = (3.15 * 100) / 12.60 = 315 / 12.6 = 25
So the percentage saving is 25%