Answer:
30 degrees
Step-by-step explanation:
∠BAC= ∠DAE (vert. opp. ∠s)
(x +10)°= (2x -10)°
x +10= 2x -10
<em>Bring</em><em> </em><em>constants</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>,</em><em> </em><em>x</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>other</em><em>:</em>
2x -x= 10 +10
x= 20 <em>(</em><em>simplify</em><em>)</em>
∠BAC= (x +10)°
∠BAC= (20 +10)° <em>(</em><em>substitute</em><em> </em><em>x</em><em>=</em><em>2</em><em>0</em><em>)</em>
∠BAC= 30°
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Answer:
The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.
Step-by-step explanation:
We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.
Let X = <u><em>Number of hits made by a baseball player</em></u>
The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 7 at-bats
r = number of success = exactly 2 hits
p = probability of success which in our question is batting average
of a baseball player, i.e; p = 0.25
SO, X ~ Binom(n = 7, p = 0.25)
Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)
P(X = 2) =
=
= <u>0.3115</u>
Answer: 6
Step-by-step explanation:
Given Data:
Number of people = 6
Amount of Gold to be shared = 40lbs
Subtract 2/3 from your answer.
Therefore
If six people are to share 40lbs of gold evenly
= 40lbs / 6
Divide through by 2
= 20lbs / 3
= 20lbs / 3 - 2/3
= 18/3
= 6
Each person would get approximately 6lbs of gold