Answer:
c = -3x² + x + 17
Step-by-step explanation:
c = g - 4f
f = 2x² - 5
g = 5x² + x - 3
c = (5x² + x - 3) - 4(2x² - 5)
c = 5x² + x - 3 - 8x² + 20
c = -3x² + x + 17
The ball will bounce 72 cm high if dropped from a height of 120 cm
<u>Solution:</u>
Given, The height that a ball bounces varies directly with the height from which it is dropped.
A certain ball bounces 30 cm when dropped from a height of 50 cm.
We have to find how high will the ball bounce if dropped from a height of 120 cm?
Now, according to given information,
When dropped from 50 cm ⇒ bounces 30 cm
Then, when dropped from 120 cm ⇒ bounces "n" cm
Now by Chris cross method, we get,

Hence, the ball bounces 72 cm high.
Answer: 51
Explanation: The range of a data set is the difference between the largest number in the data and the smallest number in the data set which in this case is 54 - 3 of 51. So the range of this data set is 51.
Answer:
0.184
Step-by-step explanation:
As the statistician consultant, I would have to calculate the chance of having 2 ambulances on the freeway at this hours and relay the message to the dispatcher.
Probability of having the need for 2 ambulances.
We will have a poisson distribution:
Lambda = 1
P(x=2) = e^-2*1/2!
= 2.71828^-1/2
= 0.368/2
= 0.184
I would tell the dispatch rider that the possibility that 2 ambulances would be required is 0.184.
Thank you