Answer:
31
Step-by-step explanation:
3x + 12 and 105 are alternate exterior angles because A || B and B || C.
If the two or more lines are parallel, then the alternate exterior angles are equal.
3x + 12 = 105
Substract 12 on both sides,
3x = 105 - 12
3x = 93
Divide 3 on both sides,
x = 93 / 3
x = 31
Answer:
where
denotes number of drinks and
denotes number of pastries.
Step-by-step explanation:
Let
denotes number of drinks and
denotes number of pastries.
Cost of the average drink = $4.50
Cost of the average pastry = $2.25
Total amount = $5,250
Therefore,

You distribute. First 3,000* 7.Then 600 *7. Then 40*7. Then 9 AM. Add it up Hopefully this helps
Tbh I forgot :)
Answer:
b) 74
The sample size that needs to be taken if the desired margin of error is 5 or less is 74
Step-by-step explanation:
<u>Explanation:</u>-
Given population variance σ² = 484
σ = √484
σ = 22
The level of significance ∝=0.95
The z-score of 0.95 level of significance = 1.96
Given Margin of error = 5
we know that the margin of error is determined by

cross multiplication, we get


Squaring on both sides, we get
n = (8.624) ²
n = 74.37 ≅74
<u>Conclusion</u>:-
The sample size that needs to be taken if the desired margin of error is 5 or less is 74