Answer:
the three options i chose:
A. n and k are on plane A and s
C. p is the inteersection of n and g
D. those 3 lines are noncollinear
The diagram of the kite is shown below
To find the perpendicular height of the kite from the ground, we use the trigonometry ratio for sin(x).
The reason for using the sine ratio is because we have the hypotenuse, 80 feet, and the angle, 40° and we are looking for the length of the side opposite the angle.




rounded to two decimal place
Perpendicular height of the kite from the ground is 51.42 feet
The answer is A. You can get that in by plugging in and checking or by substitution. In order to use substitution here, you would plug in 3x + 3 into y in the first equation. You would then distribute the 2 and solve for x, which would give you 0. Then you could plug that into either equation to find that y = 3.
Answer:
<u>B. There is sufficient evidence that the mean of the pressure required to open a certain valve has changed. </u>
Step-by-step explanation:
We make this conclusion based on these reasons:
- We are told that the "null hypothesis was rejected" after the <em>"manager feels that the pressure variability has changed.,</em> meaning the <u>null hypothesis was the opposite of what occurred; that is to say, it is the alternate hypothesis that proved true instead.</u>
- <em>"changes in the manufacturing process"</em> form what can be called "sufficient evidence" that the mean of the pressure required to open the valve has changed, thereby going against the null hypothesis.
It is based on the above reasons that the null hypothesis was rejected.