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Cloud [144]
3 years ago
5

Please help. Any tips appreciated. I have no clue how to complete this please

Mathematics
1 answer:
kirill [66]3 years ago
6 0
<h3>Answer:  35</h3>

=============================================================

Explanation:

A full circle is 360 degrees. The pie slices shown represent the various angles of each slice. Each angle expression in that diagram will add up to 360.

Doing this will help us solve for x.

(angleVQR)+(angleRQS)+(angleSQT)+(angleTQU)+(angleUQV) = 360

(21x+4) + (14x-4) + (5x+5) + (5x+5) + (80) = 360

45x+90 = 360

45x = 360-90 ... subtract 90 from both sides

45x = 270

x = 270/45 ..... divide both sides by 45

x = 6

We'll then plug this x value into the angle expression for angle TQU

angle TQU = 5x+5

angle TQU = 5*6+5

angle TQU = 35 degrees

----------

Extra info:

  • angle VQR = 130 degrees
  • angle RQS = 80 degrees (same as angle UQV)
  • angle SQT = 35 degrees (same as angle TQU)
  • Starting at angle VQR, and working clockwise, the five angles are: 130, 80, 35, 35, 80. Note that 130+80+35+35+80 = 360.
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The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c
siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma 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 \sigma = 0.26

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

M = z\frac{\sigma}{\sqrt{n}}

0.1 = 1.645\frac{0.26}{\sqrt{n}}

0.1\sqrt{n} = 1.645*0.26

\sqrt{n} = \frac{1.645*0.26}{0.1}

(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2

n = 18.3

Rounding up:

19 beers must be sampled.

7 0
3 years ago
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Elden [556K]
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Each week Jesalea earns $12 dollars doing yard work. She saves 40% the money she makes,
ratelena [41]

Answer:

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Step-by-step explanation:

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the numbers.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the key words. These include add, subtract, remove, spend, earn, less, more, times, twice, half, etc.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Finally, convert everything into an equation.

42

=

2

⋅

blouse

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14

Now, solve the equation.

56

=

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b

l

o

u

s

e

b

l

o

u

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