There are four banana, one strawberry and one water-melon smoothies, six in all.
Assuming all smoothies are identical when we pick, then the probability of picking a particular one is one divided by the total number (of smoothies).
Since there are four banana smoothies, the probability of picking a banana smoothie is four divided by six, or four-over-six, or two-thirds.
There are now five smoothies remaining, of which three are banana. Therefore the probability of picking another banana is three-over-five, or three fifths.
The final probability is the product of the individual (we call it a two-step experiment), or two-third multiplied by three-fifths, equal to two-fifths, or forty percent.
Recall that if the first banana smoothie had been put back in the batch, the probability would come out different.
Answer:
Part A: 2531.25; It means the maximum amount of profit that can be obtained at a specific amount of price reduction (x-value) for the shirts' market price.
Part B: (0,2500); It represents the profit that can be made by reducing $0 in the shirts' price.
Part C: Yes, it has a zero. Its zero is (25,0) and that represents the amount of profit made by reducing $25 from the price of each shirt being sold, which means if it sells for $0 by reducing $25 from the price of each shirt, then the x-coordinate must also represent the original price of each shirt, $25.
Step-by-step explanation:
Part A: Look at the graph! The highest y-value should be the maximum of each graph, which can be located at the vertex of a quadratic function. In this graph, the vertex is (2.5, 2531.25), where which its y-value contains the highest point of a graph, since the graph is concave down.
<u>Part B</u>








y-intercept: 
<u>Part C</u>
The graph only has a zero if the function touches the x-axis, also known as the line,
. In this case the graph does intersect the x-axis at the point,
. Therefore, it has a zero, and the value of the x coordinate at the zero is 25. This value represents the profit generated from reducing the price of each shirt by $25, which is $0. Therefore, this also represents the original price of each shirt without any price reduction, since there is no profit made by completely reducing the price of each shirt at that specific point in the graph, which is 25 or $25. Therefore, this displays that.
Answer:
11 L of 20% juice and 4 L of 5% juice
Step-by-step explanation:
Let
x L = amount of 20% juice
y L = amount of 5% juice
<u>20% juice:</u>
Amount = x L
Amount of juice
L
<u>5% juice:</u>
Amount = y L
Amount of juice
L
<u>16% juice:</u>
Amount = 15 L
Amount of juice
L
We mixed x L of 20% juice with y L of 5% juice to get 15 L of 16% juice, so

and

From the first equation:

Substitute it into the second equation:

Answer: is in the picture
We want to evaluate the expression:
We follow the order of operations: PEMDAS
Since there are no parenthesis(P), we evaluate the exponents(E)
Next is Division (D)
We can then simplify since we have only subtraction.(S)
Therefore: