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irga5000 [103]
3 years ago
15

What is the degree measure of x? A) 67° B) 88° C) 111° D) 134°

Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

D

Step-by-step explanation:

or, x=88+46(exterior angle is equal to sum of two opposite interior angle)

or, x=134

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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
How Manu grams of oat flour does Mr.Price need to use? complete the table​
allochka39001 [22]

Answer:

225

Step-by-step explanation:

Because of 45 time 5

8 0
3 years ago
Solve the inequality r 4-2(r-14)>0
klasskru [66]
R^4-2(r-14)>0
r^4-2r+28>0
r^4-2r+28=0
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:)
4 0
3 years ago
Martin likes to make flower bouquets that have 3 daffodils and 4 tulips per vase. A daffodil has a mass of d grams, a tulip has
Elza [17]

Answer:this is the order of the things to put them

number of bouquets: 5

mass of bouquets: 3d+4t+v

mass of the tulips in one bouquet: 4t

mass of the daffodils in one bouquet: 3d

Step-by-step explanation:

8 0
3 years ago
What is the area of the triangle in the coordinate plane?
AnnZ [28]
The answer to this is C.54 units² .

Area=1/2 base*height
base=12
height=9
12*9=108
108/2=54
Area=54
5 0
3 years ago
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