Answer:
30 items are sold there
Step-by-step explanation:
21/0.7 --> 210/7=30
1). 16 Y= 164. ( then divided)
Y= 164 : 16
Y= 41 : 4
Y = 10 +1/4
2) 8z = 64. (then divided)
z= 64 :8
z= 8
3. D = A•B•C. ( divided)
D : A•B = C
C= D:AB
c. c= d divided by ab
The number of $0.50 increases to maximize the profit is X = 1.
First of all, we need to write the linear function which represents the price of the ticket for each increase of $0.50:
P - Price of each ticket.
x - number of increases.
We know that the current price is $5.00, so:

After that, let's build a linear function which shows the number of tickets sold <u>for each</u> price increase:
T - number of tickets.
x - number of increases.

With all this done, we can finally build the quadratic function which represents the money earned:
M - money earned

Now, to finish, we only have to <u>calculate the value of X</u>(number of increases) which can give us the maximum value of this function:
the X coordinate for the maximum value of a quadratic is expressed by:

In our equation, b = 100 and a = - 50 :

Thus, the number of increases which <u>maximizes</u> the profit is 1.
Learn more about linear and quadratic functions in: brainly.com/question/4119784
Answer:
34.5% probability that the jury returns a guilty verdict
Step-by-step explanation:
We have these following probabilities:
The defense attorneys have a 70% chance of convincing the jury that the police either contaminated or planted some of the key evidence.
In this case, there is a 15% probability that the jury will return a guilty verdict.
There is also a 100 - 70 = 30% of not convincing the jury that the police either contaminated or planted some of the key evidence.
In this case, 80% probability of the jury returning a guilty verdict.
What is the probability that the jury returns a guilty verdict?
15% of 70% and 80% of 30%. So

34.5% probability that the jury returns a guilty verdict