Answer:

Step-by-step explanation:
The shape of an arch corresponds to a parabola.
the general equation for a parabola is:

we're given three coordinates: (-7,-13),(7,-13) and (0,0)
so we can plug these values in the general equation to make 3 separate equations:
(x,y) = (-7,-13)


(x,y) = (7,-13)


(x,y) = (0,0)


so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.
we've already found c = 0, let's use substitute it to other equations.


we can solve these two equation using the elimination method, by simply adding the two equations

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Now we can plug this value of a in any of the two equations.





We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.



This our equation of the arch!
Answer:
512
Step-by-step explanation:
8*8*8
64*8
512
Answer:
1- 42%
2- 47%
3- 40%
4- 62%
parking lot 4 had the greatest percentage of blue cars
Step-by-step explanation:
Answer: 42.190
Step-by-step explanation:
From the question, the population variances are not equal. The calculation has been attached in the picture below.
The answer is 42.190 to 3 decimal places.
Answer: a. , c. , d., e.
Step-by-step explanation:
A variable that counts how many times a certain event occurs in a particular number of trials is known as binomial random variable.
For each trial, there exist only two outcomes .
The probability of for each event is the same on each trial.
a. Event has two outcomes with same probability as 0.50, therefore the random variable represents the total number of flips required to get tails is a binomial random variable.
b. Total guidelines are 5.
Here total outcomes are not 2 , it does not meet with the conditions of binomial.
c. The random variable represents the total number of children from this pair of parents with blue eyes has two outcomes (where has or not.)
also, the probability of having blue eyes is same in each trial, so it represents binomial random variable.
d. The random variable represents the total number out of 567 customers with a checking account has two outcomes (checking or savings).
So, it represents binomial random variable.
e. The random variable represents the total number of ace cards observed has two outcomes ( ace or not ace).
So it represents the binomial random variable.