If Ava has 34 candy bars, and each box can hold 5 bars, then we need to find out how many boxes that are filled up.
Divide the number of candy bars (34), by the number each box can hold (5)
Since we cannot have 6.8 boxes, we have to round down to 6.
To check our answer, we multiply the number of boxes (6), by the number of bars in each box (5), to get 30. We add Ava's extra bars (4), and we get the number we started off with: 34. This proves our answer is correct!
Answer:
12i + 2
Step-by-step explanation:
Combine like terms.
-1 + 3 = 2
5i + 7i = 12i
12i + 2 is your answer.
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Answer:
Mean = 35
Variance = 291.7
Step-by-step explanation:
Data provided in the question:
X : 1, 2, 3, 4, 5, 6
All the data are independent
Thus,
The mean for this case will be given as:
Mean, E[X] =
or
E[X] =
or
E[X] = 3.5
For 10 days, Mean = 3.5 × 10 = 35
And,
variance = E[X²] - ( E[X] )²
Now, for this case of independent value,
E[X²] =
or
E[X²] =
or
E[X²] =
or
E[X²] = 15.167
Therefore,
variance = E[X²] - ( E[X] )²
or
variance = 15.167 - 3.5²
or
Variance = 2.917
For 10 days = Variance × Days²
= 2.917 × 10²
= 291.7
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The angle x is half the sum of the intercepted arcs, PQ and NO.
... (1/2)(65° + 45°) = 55° = x° = m∠PMQ