Three orders are placed at a pizza shop. two small pizzas, a liter of soda, and a salad cost $14; one small pizza, a liter of so
1 answer:
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Answer:
The remaining area available for construction is
Step-by-step analysis:
The inquiry in English reads
The total area of a property, measured in square meters, amounts to 704/5. A house is constructed occupying 5/6 of this area. Half of the leftover space is utilized for a terrace; thus, how much area remains for additional construction?
We know that
The total area is represented by the fraction 6/6
A house accounts for 5/6 of the entire area
Thus, the remaining area is (6/6)-(5/6)=1/6 of the overall area
If half of this leftover area is designated for a terrace
then
the terrace occupies (1/6)/2=1/12 of the total area
consequently,
The area remaining for construction is 1/12 of the total area
therefore
1) 4.55
2) Short hit
Step-by-step explanation:
1)
The score and corresponding probabilities are shown in the following table:
Score 3 4 5 6 7
Probability 0.15 0.40 0.25 0.15 0.05
Let us define
X = Miguel's score on the Water Hole
The expected value of the variable X can be represented as:
where
represents the different possible outcomes of X
denotes the associated probabilities
Accordingly, the expected value of Miguel's score is calculated as follows:
2)
Here, we will again consider:
X = Miguel's score on the Water Hole
In this case:
- For a successful long hit, the expected value of X is
- Conversely, if the long hit isn't successful, the expected value of X becomes
We also know that the likelihood of succeeding with a long hit is
Consequently, the chance of failure in a long hit is
Thus, the expected value of X when opting for the long hit strategy is:
In the first part of this question, we calculated the expected value using the short hit strategy, yielding:
Given that the expected value for X is smaller (which is better) when utilizing the short hit option, we can conclude that this approach is superior.
Answer:
The scale factor equates to 3.
Detailed explanation:
Please refer to the provided image for clarity regarding this issue.
We know that
If two shapes are similar, then the ratio of their areas corresponds to the square of the scale factor.
Let
z -----> scale factor
x -----> area of polygon Q
y ----> area of polygon P
Thus, we have
so, we proceed with
Determining the area of polygon Q
The polygon Q can be divided into five distinct squares.
Refer to the additional figure N 2.
The area of polygon Q, which represents the total area of the five squares, is
Calculating the scale factor
Thus, we derive
By substituting the values, we find
Taking the square root of both sides results in
Thus,
The scale factor resolves to 3.
