Use the polynomial remainder theorem. It says that a polynomial has remainder
upon division by
.
Here we have
and , so the remainder is
Jackie mowed a lawn today to earn some extra money. She spent $1.90 on fuel and $4.65 on lunch. She charged $12.50 to mow the la
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Using the binomial distribution, it is found that there is a 0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.
<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.
Considering that there are 4 questions, and each has 5 choices, the parameters are given as follows:
n = 4, p = 1/5 = 0.2.
The probability that he answers exactly 1 question correctly in the last 4 questions is P(X = 1), hence:
0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.
More can be learned about the binomial distribution at brainly.com/question/24863377
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<h2>Hello!</h2>
The answer is:
1017.88 square feet are blue.
<h2>Why?</h2>To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.
We need to remember that we can calculate the area of any circle using the following formula:
Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:
So,
Then, calculating the area we have:
Hence, we have that 1017.88 square feet are blue.
Have a nice day!
Answer:
Volume = cubic inches
Step-by-step explanation:
A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.
We know,
Volume = area of base * height
THe base is a square and the area is side * side. We know each side is x, so we have:
Area of Square = Area of Base = x * x =
Now, we know height is also same side length, x, thus the volume becomes:
Volume = area of base * height
Volume =
We add the exponents when we have same base multiplied, so the expression for volume becomes:
Volume =