We already know that 0.5 of an hour, or half of an hour, is 30 minutes. We also know that 3 dozen equals 36. With this information, we can conclude that Natalie can make 72 cookies in one hour. 72 times 5 is 360. 360 divided by 12 is 30, so, Natalie can bake 30 dozen, or 360, cookies in five hours.
Answer:
EF = 8
Step-by-step explanation:
The following data were obtained from the question:
EF = 2x
FG = 8
EG = 4x
EF =?
To obtain the value of EF, we shall first, obtain the value of x. This can be obtained as follow:
EG = EF + FG
EF = 2x
FG = 8
EG = 4x
4x = 2x + 8
Collect like terms
4x – 2x = 8
2x = 8
Divide both side by 2
x = 8/2
x = 4
Therefore, the value of x is 4.
Finally, we shall determine the the value of EF as follow:
EF = 2x
x = 4
EF = 2x
EF = 2(4)
EF = 8
**** Check ****
EG = EF + FG
EF = 2x
EG = 4x
FG = 8
4x = 2x + 8
x = 4
4(4) = 2(4) + 8
16 = 8 + 8
16 = 16
Answer:
Margin of error for a 95% of confidence intervals is 0.261
Step-by-step explanation:
<u>Step1:-</u>
Sample n = 81 business students over a one-week period.
Given the population standard deviation is 1.2 hours
Confidence level of significance = 0.95
Zₐ = 1.96
Margin of error (M.E) = 
Given n=81 , σ =1.2 and Zₐ = 1.96
<u>Step2:-</u>
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On calculating , we get
Margin of error = 0.261
<u>Conclusion:-</u>
Margin of error for a 95% of confidence intervals is 0.261
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Answer:
Step-by-step explanation:
Since the problem is to prove that the two triangles are congruent by applying SSS (side -side -side) congruence theorem, the missing or the additional information that can be shown in the solution is the third side of both triangles must be also equal and congruent. Since in SSS theorem, all sides of a given triangle must be congruent to the opposite three sides of the second triangle.
