Answer:
We can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:
Step-by-step explanation:
From the coordinate plane, we can clearly identify that:
- Sandy's Hotel is located at the point (-8, 9)
- Trader Joes' Store is located at the point (-4, 2)
The distance from Sandy's Hotel to Trader Joes' Store can be calculated such as:

The distance between (-8, 9) and (-4, 2)




miles
Therefore, we can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:
Answer:
57
Step-by-step explanation:
9+6(2^2+4)
Calculate 2 to the power of 2 and get 4.
9+6(4+4)
Add 4 and 4 to get 8.
9+6×8
Multiply 6 and 8 to get 48.
9+48
Add 9 and 48 to get 57.
57
Using the binomial distribution, there is a 0.0874 = 8.74% probability that not enough seats will be available.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the values of the parameters are given by:
n = 15, p = 0.85.
The probability that not enough seats will be available is P(X = 15), as the only outcome in which not enough seats will be available is when all 15 people who bought the ticket show up, hence:


0.0874 = 8.74% probability that not enough seats will be available.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
3.728 cm²
90
Step-by-step explanation:
To built the envelope I am using a rectangular piece of material 28 m long and 12 m wide.
Out of this material, I have to cut patches that are 1/12 the length and 2/15 the width of the whole material.
So, the length of the patches is
m and the width of the patches is
m.
Therefore, the area of the patches is (1.6 × 2.33) = 3.728 m² each. (Answer)
Now, the area of the rectangular piece of material is (28 × 12) = 336 m²
Hence,
≈ 90 such patches can be made out of the whole material. (Answer)