For this problem, we use the repeated trials equation:
P = n!/r!(n-r)!*p^(n-r)*q^r
where
P is the total probability of having r successful trials out of the total n trials. p is equal to 13/58, while q is equal to 1 - 13/58.
P = 4!/4!(4-4)!*(13/58)^(4-4)*(1 - 13/58)^4
P = 0.362 or 36.2%
From the given information, we get the value of ABC = 120°.
<h3>How to estimate the value of ABC?</h3>
Given: In the figure, O exists the center of the circle and OABC exists as a parallelogram.
Now, the radius of the circle exists
OA = OB = OC
Opposite sides of a parallelogram are equal
AB = OC and OA = BC
In ∆OAB,
OA = OB = AB and,
In ∆OCB,
OC = OB = BC
Therefore, ∆OAB and ∆OCB exist in equilateral triangles.
All angles of an equilateral triangle are equivalent to 60°.
Hence, ∠ABC = ∠OBA + ∠OBC
∠ABC = 60° + 60°
∠ABC = 120°
Therefore, the value of ∠ABC = 120°.
To learn more about parallelogram refer to:
brainly.com/question/24291122
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9514 1404 393
Answer:
5. x = 160; y = 20
6. h = 125°; g = i = 55°
Step-by-step explanation:
Vertical angles are found on opposite sides of a point where lines cross. Each angle is formed from rays opposite those of the other angle. Vertical angles are congruent.
5. x° and 160° are vertical angles: x° = 160°
y° and 20° are vertical angles: y° = 20°
__
6. h° and 125° are vertical angles: h° = 125°
The angles g° and 125° form a "linear pair" so total 180°.
g° = 180° -125° = 55°
g° and i° are vertical angles: g° = i° = 55°
Answer:
26
Step-by-step explanation:
First take your too fractions.
6 1/2
1/4
Divided 6 1/2 by 1/4 to get your answer!
Answer:
1
Step-by-step explanation:
f(x)=x^3+2x^2-x-1
f(1)=1^3+2(1)^2-1-1
f(1)=1+2*1-1-1
f(1)=1+2-1-1=3-1-1=2-1=1
