<u>Answer:</u>
- 2n + 12 = 100 (Equation)
- 2n = 88 (Solving)
- n = 44 people bought muffins at the bake sale. (Solving)
<u>Step-by-step explanation:</u>
- 100 muffins, and 2 in each package. Therefore, there are 50 packages. However, in the end, there are 12 left, so there must have been 6 packages left.
ANSWER:
104
STEP-BY-STEP EXPLANATION:
Given:
Standard deviation (σ) = 700
Confidence level = 95%
Mean error (Eμ) = 135
We have for a confidence level of 95%:

Now, we calculate the minimum value of the sample size as follows:

The minimum sample size needed is 104
Answer:
unknown
Step-by-step explanation:
because you don't know the percentage one gallon takes you cannot be sure how much you need after you get the dimensions and percentage a gallon takes
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
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Answer:
AD= 5.82 units (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
*skipped these steps in the beginning:
∠ABC +∠ABD= 180° (adj. ∠s on a str. line)
90° +∠ABD= 180°