What is 1/4 divided by 12
2 answers:
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Answer:
Step-by-step explanation:
Given that a researcher is planning to construct a one-sample z ‑confidence interval for a population mean
The confidence interval would be calculated as
Here margin of error = Z critical * std error determines the size of the confidence interval
Margin of error dependds on i) Z critical value ii) std deviation
iii) Inversely to square root of sample size.
Hence margin of error would be small if
.B) The researcher increases the sample size
C) The researcher lowers the confidence level
E) The population standard deviation turns out to be lower than expected.
Let 
be the number of strawberry cupcakes, and 
the number of chocolate cupcakes.
From our problem we know that the total number of cupcakes is 180, so
. We also know that the number of chocolate cupcakes is eighteen more than twice the number of strawberry cupcakes, so 
, or solving for : 
.
Know we have our system of equations:
We can conclude that the correct answer is <span>B. c + s = 180 c = 2s + 18.
Lets solve our equations to find how many cupcakes of each they have:
from our second equation we know that </span>; lets replace that value in our first equation to find the number of strawberry cupcakes:
<span>Now that we know the number of strawberry cupcakes, lets replace that value in our second equation to find the number of chocolate cupcakes:
</span>
As a bonus, we can conclude that the <span>math club have 126 chocolate cupcakes and 54 strawberry cupcakes. </span>
From our problem we know that the total number of cupcakes is 180, so
Know we have our system of equations:
We can conclude that the correct answer is <span>B. c + s = 180 c = 2s + 18.
Lets solve our equations to find how many cupcakes of each they have:
from our second equation we know that </span>
<span>Now that we know the number of strawberry cupcakes, lets replace that value in our second equation to find the number of chocolate cupcakes:
</span>
As a bonus, we can conclude that the <span>math club have 126 chocolate cupcakes and 54 strawberry cupcakes. </span>