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nordsb [41]
2 years ago
7

The regular octagon shown is divided into 8 congruent triangles. Each triangle has an area of 21.7 square centimeters. The

Mathematics
1 answer:
neonofarm [45]2 years ago
3 0
I believe the formula to find the height would be h= 2a/b and if you use that formula and plug in the area (21.7) of each triangle as well as the base (6) then you would get a height of 7.2 cm. I hope this is correct! :)
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A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From
lutik1710 [3]

Answer:

a) z = 1.645

b) The should sample at least 293 small claims.

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 Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645, which means that the answer of question a is 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.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

M = 12, \sigma = 124.88. So

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

12 = 1.645*\frac{124.88}{\sqrt{n}}

12\sqrt{n} = 205.43

\sqrt{n} = \frac{205.43}{12}

\sqrt{n} = 17.12

\sqrt{n}^{2} = (17.12)^{2}

n = 293

The should sample at least 293 small claims.

8 0
2 years ago
HELP ME PLEASEEEEEEEE I WILL MARK BRAINLIEST TO CORRECT ANSWER
Hitman42 [59]

Answer:

9

Step-by-step explanation:

4a+7\\\\a=\frac{1}{2}\\\\=4[\frac{1}{2}]+7\\\\=2+7\\\\=9

6 0
3 years ago
Read 2 more answers
The heights of the mountains in a mountain range are less than 20,000 feet. Write an inequality to represent the heights of the
timurjin [86]

Answer:

D, far apart from each other.

Step-by-step explanation:

6 0
2 years ago
(2.05) Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x. (1 point) −x − 10 > 14 + 2x −3x
sleet_krkn [62]
-x-10>14+2x
Add x for both side
-x+x-10>14+2x+x
-10>14+3x
Subtract 14 for both side
-10-14>14+3x-14
-24>3x
Divided 3 for both side
-24/3>3x/3
-8>x
x<-8
Or
-x-10>14-2x
-3x-10>14
-3x>24
x<-8.
Um, we see that there is one step that are missing which is:
-3x>24. Hope it help!
4 0
3 years ago
The table shows the amount of money LaTasha charges customers to mow their lawns. The table represents a linear function.
sashaice [31]
It is b    Latasha charges 10 dollars before she begins to work

5 0
3 years ago
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