Answer:
Step-by-step explanation:
Given
Length of diagonal is a
Diagonal divides the angle in 1:2
such that (because angle between two sides is 90)
width of rectangle is
Length of rectangle is
Area of rectangle
8 Divided 2 (2+2)= Dont You Do The Parentheses First?
2 answers:
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Hello!
Answer:
To solve, we will need to use Right-Triangle Trigonometry:
Begin by solving for angles ∠S and ∠R using tangent (tan = opp/adj)
tan ∠S = a / (1/2b)
tan ∠S = 3√5 / 14
tan ∠S ≈ 0.479
arctan 0.479 = m∠S (inverse)
m∠S and m∠R ≈ 25.6°
Use cosine to solve for the hypotenuse, or the missing side-length:
cos ∠S = 14 / x
x · cos (25.6) = 14
x = 14 / cos(25.6)
x ≈ 15.52
Both triangles are congruent, so we can go ahead and find the perimeter of the figure:
RS + RQ + QS = 28 + 15.52 + 15.52 = 59.04 units.
Hope this helped you! :)
Answer:
a) The expected value is given by:
The variance is given by:
And the standard deviation is just the square root of the variance and we got:
b)
And we can use the cumulative distribution function given by:
And using this function we got:
c)
And using the complement rule and the cumulative distribution function we got:
Step-by-step explanation:
For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:
Part a
The expected value is given by:
The variance is given by:
And the standard deviation is just the square root of the variance and we got:
Part b
For this case we want this probability:
And we can use the cumulative distribution function given by:
And using this function we got:
Part c
For this case we want this probability:
And using the complement rule and the cumulative distribution function we got: