Answer:
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Step-by-step explanation:
Given that a roller coaster ride reach a height of 80 feet.
The height above the ground of the roller coaster is modeled by the function
h(t)=10t²-40t+80
where t is measured in second.
h(t)=10t²-40t+80
Differentiating with respect to t
h'(t)= 10(2t)-40
⇒h'(t)=20t-40
To find the minimum height we set h'(t)=0
∴20t-40=0
⇒20t =40
⇒t=2
The height of the roller coaster minimum when t=2 s.
The minimum height of of the roller coaster is
h(2)= 10(2)²-40.2+80
=40-80+80
=40 feet.
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Answer:
x + 2 < 42
Step-by-step explanation:
Minimum height for Crazy cart = 42 inches
x = height last summer
Number if inches grown since last summer = 2
Height now = x + 2 is still not yet up to 42 inches because he is not yet tall enough to get on crazy carts ride.
Representing as an inequality :
x + 2 < 42
Answer: -.6
Step-by-step explanation: Isolate t
In order to keep the equation equal, what is done to one side must be done to the other
1. You would subtract 1.5 from each side so you end up -3t = 5
2. Divide -3 from both sides, you are left with t = -.6 which is your answer
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:
Where 
and 
If we standardize the variable with the z score given by:
We got a normal standard distribution with parameters 
Answer:
Length: 16.7
Perimeter: 41.2
Step-by-step explanation:
65.13 divided by 3.9 = 16.7 which is the length. You can use this expression: (16.7 x 2) + (3.9 x 2) to get a perimeter of 41.2.
