Using the binomial distribution, the probabilities are given as follows:
a. 0.2637 = 26.37%.
b. 0.8965 = 89.65%.
c. 0.0148 = 1.48%.
<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.
The values of the parameters for this problem are:
n = 5, p = 0.25.
Item a:
The probability is P(X = 2), hence:
Item b:
The probability is:
In which:
Then:
Item c:
The probability is:
In which:
Then:
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
180
Step-by-step explanation:
Let x be the original weight
x* 15% = 27
.15x = 27
Divide each side by .15
.15x/.15 = 27/.15
x =180
Answer:
A. Reflected over the x-axis and reflected over the y-axis
Step-by-step explanation:
A would be the answer because it is the only one that has the same out come.
Since it starts in the second quadrant reflecting it over the y-axis would move it to the third quadrant and moving it 180 degrees would take it to the first quadrant. So b cannot be the answer because the end result of the transformation is in the fourth quadrant.
When looking at c, it says to reflect over the x axis and then move it counterclockwise. D says to reflect over the y axis and then move it clockwise. Although both of these shapes end up in the fourth quadrant, they arent the right answer because they become tall squares (where the shorter ends are on top) instead of what is shown on the graph.
Try getting a piece of paper with the shape drawn on it and move it according to what it says. It should help when you need to find the answers.
So, let's make these two values improper fractions so they're easier to work with.
So, to get the rate he grew in those months we have:
And to get the rate he grew in one month we have to divide both our numerator and our denominator by 21 to get:
aka he grew 1.24 inches in a month.
Terms in a math problem:
3a, -7, 4, 2x^4