Answer:
the "negative solution" is -3
Step-by-step explanation:
Represent the number by n.
Then n^2 - 24 = 5n
We rewrite this in standard quadratic form:
n^2 - 5n - 24 = 0
This factors as follows; (n + 3)(n - 8) = 0
The roots are n = -3 and n = 8. Thus, the "negative solution" is -3
The determined value of mean µ is 1.3 and variance σ² is 0.81.
What is mean and variance?
- A measurement of central dispersion is the mean and variance. The average of a group of numbers is known as the mean.
- The variance is calculated as the square root of the variance.
- We can determine how the data we are collecting for observation are dispersed and distributed by looking at central dispersion.
The table is attached as an image for reference.
Mean µ = ∑X P(X)
µ = 1.3
Variance (σ² ) = ∑ X² P(X)- (µ)²
= 2.5-(1.3)²
(σ² ) = 0.81
The determined value of mean µ is 1.3 and variance σ² is 0.81.
Learn more about mean and variance here:
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Answer:⬇️⬇️⬇️⬇️
Step-by-step explanation: Area of a triangle = ½base times height⇒ A = ½bh
Given that the area is 24 and the base is 8, we would have this equation
24 = ½(8)h
24 = 4h divide both sides by 4
6 = h So the height of the triangle is 6 feet
CHECK
A = ½bh
24 = ½(8)(6)
24 = 4(6)
24 = 24√
Answer: 13/50
Step-by-step explanation:
The original fraction is 39/150
Simplify that gives 13/50 to get the probability of rolling six with the dice