Abs and piper have a great time at the house
<em>1</em><em>9</em><em>5</em>
Step-by-step explanation:
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Answer:
x = 9 and ∠ B = 40°
Step-by-step explanation:
See the diagram given with the question first.
Here we have ∠ A = ∠ B {They are corresponding angles}
Now, it is given that ∠ A = 5x - 5 and ∠ B = 3x + 13
Hence, 5x - 5 = 3x + 13
⇒ 2x = 18
⇒ x = 9
Therefore, ∠ B = 3x + 13 = 3(9) + 13 = 40° (Answer)
Answer:
19 beers must be sampled.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.645.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.
This means that 
If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?
This is n for which M = 0.1. So






Rounding up:
19 beers must be sampled.
FIRST PROBLEM AS GENIUS!!!
The 45-45-90 triangle theorem states that each leg equals x, and the hypotenuse equals

. Using this, we can find that the height is 10. Take the average of the lengths to get l = 27.
The area = 270.