The greatest common factor is 7.
Answer:
The total number of cupcakes ordered=216
Step-by-step explanation:
The total number of cupcakes ordered that the baker completed can be expressed as;
C=P×t
where;
C=Total number of completed order of cupcakes
P=percentage of order completed
t=total number of ordered cupcakes
In our case;
C=81
P=37.5%
t=t
replacing in the above expression;
81=37.5%×t
(37.5/100)×t=81
t=81×100/37.5
t=216
The total number of cupcakes ordered=216
The given inequality is:
-5c + 2 ≤ 27
Subtracting 2 from both sides, we get:
-5c + 2 - 2 ≤ 27 - 2
-5x ≤ 25
Dividing by 5 on both sides we get:
- x ≤ 5
Multiplying by -1 we get:
x ≥ 5
Remember that multiplying or dividing by a negative number changes the direction of inequality symbol.
From the given options, the second graph correctly represents this solution.
Answer:
The margin of error M.O.E = 2.5%
Step-by-step explanation:
Given that;
The sample size = 1500
The sample proportion 
= 0.60
Confidencce interval = 0.95
The level of significance ∝ = 1 - C.I
= 1 - 0.95
= 0.05
The critical value:
(From the z tables)
The margin of error is calculated by using the formula:
M.O.E = 0.02479
M.O.E ≅ 0.025
The margin of error M.O.E = 2.5%
