General equation for height, h
h = ut + 0.5gt^2
at t=1s, h = 76 feet
76 = u*1 + 0.5*a*1^2
76 = u + 0.5a
at t=2s, h = 144 feet
144 = u*2 + 0.5*a*2^2
144 = 2u + 2a
72 = u + a
Subtract 2 equations
0.5a = -4
a = -8
u = 80
So the equation,
h(x) = 80t + 0.5*(-8) t^2
h(x) = 80t - 4t^2
Answer:
Price of 1 adult ticket is <u>$10.8</u> and Price of 1 children ticket is <u>$5.4</u>.
Step-by-step explanation:
Given:
Number of adults = 2
Number of Children = 6
Total Amount of tickets sold = $54.
We need to find the price of one children's ticket and one adult ticket.
Solution:
Let the Cost of 1 adult ticket be 'x'.
Now Given:
Children tickets are on sale,half price of adult tickets.
Cost of 1 Children ticket = 
Total Amount is equal to Number of adults multiplied by Cost of adult ticket plus Number of Children multiplied by Cost of Children ticket.
Framing in equation for we get;

Cost of 1 adult ticket = $10.8
Cost of 1 children ticket = 
Hence Price of 1 adult ticket is <u>$10.8</u> and Price of 1 children ticket is <u>$5.4</u>.
Answer:
Step-by-step explanation:
Correct answer is: P(x<6) is 0.123 and it is usual.
Solution:-
Given that the time a person takes to decide which shoes to purchase follows normal distribution. Which has mean = 8.21 minutes and standard deviation 1.90
Then probability of individual takes less than 6 minutes is
P(X<6) = 
= 
= 0.1230
Typically we say an event with a probability less than 5% is unusual.
But here P(X<6) = 0.123 is greater than 5% hence this is usual.
Answer:x=2
Step-by-step explanation:
-3x-9=-15
-3x=-6
x=2