X=weekly allowance
x/2=money saved (= money spent).
We can suggest this equation:
x/2+4=12
lowest common multiple=2
x+8=24
x=24-8
x=16
Answer: her weekly allowance is $16.
Answer:
The expected payout of the game is $230.46.
Step-by-step explanation:
The given table is
Payout Amount : $160 $4400 $145000
Probability : 0.146 0.024 0.0007
We need to find the expected payout of the game.
The formula for expected payout is

where, n is amount and P(x) is probability of that event. The value of n is negative for loss.
Using the above formula we get



Therefore the expected payout of the game is $230.46.
Given:
In circle O, m∠R = 30.8°.
To find:
The m∠NOQ
Solution:
Central angle theorem: According to this theorem, the central angle is always twice of subtended angle on the same arc.
Angle NOQ and angle NRQ are on the same arc but ∠NOQ is the central angle and ∠NRQ is the subtended angle on the arc NQ.
Using central angle theorem, we get




Therefore,
.
The average rate of change is 1.
Answer:
Step-by-step explanation:
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