C) The probability that you pick at least one purple marble is 98%.
<h3><u>Probability</u></h3>
The question is incomplete, since the number of marbles of each color in the bag is missing: 3 blue, 5 green, and 2 purple marbles.
Now, to answer the questions, the following calculations must be done:
- C) 100 - (2/9x9) = X
- 100 - 2 = X
- 98 = X
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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:
4
Step-by-step explanation:
Total value of digit 4 in the number above is 1×4=4 hence 4 ones are represented in the ones place
Answer:
The answer is below
Step-by-step explanation:
From the image attached, the measurement of the roof is 5 m by 9 m on both sides. Hence:
Area of roof = 2 (5 * 9) = 90 m²
Since solar panels cost $4.00 per square meter, therefore:
Cost of solar panels = $4.00 per square meter * 90 m² = $360
The area of the front wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) - (4 m * 4 m) = 52 m²
The area of the back wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) = 68 m²
Area of each side wall of barn = 9 m * 7 m = 63 m²
Total area of wall = 52 m² + 68 m² + (2 * 63 m²) = 246 m²
Cost of shingles = $2.50 for each square meter * 246 m² = $615
Total cost of project = $615 + $360 = $975
3/2
You go up 3 and to the right 2