Answer:
There are two types of exponential functions: exponential growth and exponential decay. In the function f (x) = bx when b > 1, the function represents exponential growth. In the function f (x) = bx when 0 < b < 1, the function represents exponential decay.
Step-by-step explanation:
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.
From the information given, the shares are overpriced by 25%, therefore the shares stand at 125%
We need to find out the price value of 1% share.
125% = 300$
1% = x (where x is the value in dollars of 1% shares)
Simplify the above equation by cross multiplying , so:
125 × x = 300 ×1
125 x = 300
x = 300/125
x= 2.4 $
1% share price is 2.4 dollars. How about the true share price? The true share price is at 100%
100% share price value is 2.4 × 100 = 240
Therefore the true and fair price of the shares is $ 240
Answer:
127
Step-by-step explanation:
m<PQR and m<RQS are supplementary angles so their sum is 180
3x - 5 + x + 1 = 180 add like terms
4x - 4 = 180 subtract 4 from both sides
4x = 176 divide both sides by 4
x = 44
m<PQR is 3x - 5 replace x with 44
3*44 - 5 = 127
In a right triangle, the square of the largest side is equal to the sum of the squares of the smaller sides, so if you plug the sides in to that equation, you should get zero if those sides form a right triangle.
B is the only option where this is true, so I believe set B defines a right triangle.
