The possible sets of integers that yield a product of -11 include (-1, 1, 11), (-11, -1, -1), and (-11, 1, 1). An integer can be understood as a whole number encompassing zero, both positive and negative values. Given that the product should equal −11, and knowing the factors of 11 are 1 and 11, we conclude with the different possible integer combinations.
a) The specified probability distribution is b) 0.5, representing a 50% chance that X assumes a value between 21 and 25. c) 0.25 denotes a 25% likelihood that X takes on a value of at least 26. A uniform probability distribution encompasses two limits, a and b. The probability of obtaining a value lower than x is calculated accordingly. Also, the likelihood of finding a value between c and d is defined in correlation with the observed uniform distribution ranging from 20 to 28.
X² - 7x - 8 = 0
Applying the Viet theorem
x₁ + x₂ = -p
-1 + x₂ = 7
x₂ = 7 + 1
x₂ = 8
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According to the vertical angles theorem, angle BAC becomes 50°. Subsequently, angle B is calculated as 180 - (50 + 30) = 100°. Hence, for the similar triangles ABC, EDC, and EFG, the angles in triangle EFG are 30°, 50°, and 100°.
