Answer:
∠ECD is 110°
Step-by-step explanation:
For a cyclic quadrilateral,
∠ABC + ∠AEC = 180°
Therefore ∠AEC = 180° - 45° = 135°
∠CAE + ∠ACE + ∠AEC = 180° (Angles in a triangle)
Therefore ∠CAE = 180 - 20 - 135 = 25°
∠CAE = ∠CDA = 25° (Base angles of isosceles triangle ΔCAD)
∠CED + ∠AEC = 180°(Sum of angles on a straight line)
Therefore ∠CED + 135° = 180°
∠CED = 180° - 135° = 45°
∠ECD + ∠CED + ∠CDA = 180°
Therefore ∠ECD = 180° - (∠CED + ∠CDA)
∠ECD = 180° - (45° + 25°) = 110°
Therefore, ∠ECD = 110°.
Answer:
A) $71,26
B) 84.207
Step-by-step explanation:
For the part A as the resident has use 40.000 gallons we need to divide that number in 741
=40.000/741=53,98
Thats the quantity of portions and every portion is $1,32 than we multiply
=53,98*1,32
=$71,26 (the bill for the resident)
For the part B you have $150 for the bill and every portion price is $1,32 than first we need to know how many portions the custumer can buy
=150/1,32
=113,64 portions
And every portion has 741 gallons, then we multiply to find the total gallons
=113,64*741
=84.207
The probability of getting number 5 rolled 6 times is 1/500.
Here, Total rolls = 10 times
Probability of getting 5 on one roll = 1/6
Probability of not getting 5 on one roll = 5/6
Total Probability for getting 5 6 times after rolled 10 times
= ¹⁰C₆(1/6)⁶(5/6)⁴
= 210 X (0.167)⁶(0.833)⁴
= 0.002
= 1 / 500
Thus, the probability of getting number 5 rolled 6 times is 1/500.
Learn more about Probability from:
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Answer:
B is the answer
the graph is shifted up +3
the graph is curving upward, so the power has to be positive
Answer:
2/3
Step-by-step explanation:
So we have 10%+5%=15% of clients under the condition "permanent", and we can find the probability that a client in that group requested a haircut:
P(haircut | permanent)=10%/15%=2/3