A∪B = include all the possible elements in A and in B.
A∪B = (-∞ , ∞ )
So, because there is an exponent, we do that first. 2*2=4 then we take 3 from four, and put x to the side. We then have 1. Subtract 27 from 1. You -26. Add you x back in. You then have -26x.
The answer is -26x.
Answer:
(p - 5)(p + 1)
Step-by-step explanation:
Given
p² - 4p - 5
Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)
The factors are - 5 and + 1 , since
- 5 × + 1 = - 5 and - 5 + 1 = - 4, then
p² - 4p - 5 = (p - 5)(p + 1) ← in factored form
The standard form of a trinomial is
ax² + bx + c ( a ≠ 0 )
p² - 4p - 5 ← is in standard form
with a = 1, b = - 4 and c = - 5
Answer:
answer= 0.44 as a decimal
Using the normal distribution, there is a 0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:

The probability that a randomly selected cyclist will take at least 2.45 hours to complete the race is <u>one subtracted by the p-value of Z when X = 2.45</u>, hence:


Z = -0.1
Z = -0.1 has a p-value of 0.4602.
1 - 0.4602 = 0.5398.
0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.
More can be learned about the normal distribution at brainly.com/question/4079902
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