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Gala2k [10]
2 years ago
7

The perimeter of an equilateral triangle is 38 centimeters. Find the length of an

Mathematics
1 answer:
Leokris [45]2 years ago
8 0

Answer:

11.0 cm

P=38 cm

38/3=12.67cm length of one side

Base of triangle = 12.67/2 =6.34 cm

Use formula a^2+b^2=c^2

6.34^2+x^2=12.67^2\\\\=11.0 cm

x = altitude of triangle

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You are planning on applying to the Knirhsdaeh institute as a psychology counselor. They hire millions of psychologists around t
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The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the mean of the sample = $81 k</em>

<em>Given that the size of the sample 'n' = 23</em>

<em>Given that the standard deviation for the salaries is $13 k</em>

<u><em>Step(ii):-</em></u>

<u><em>98% of the confidence interval for the true average salary of Knirhsdaeh employees is determined by</em></u>

<u><em /></u>(x^{-} - t_{0.02} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S.D}{\sqrt{n} })<u><em /></u>

<u><em>Degrees of freedom = n-1 = 23-1 =22</em></u>

<u><em /></u>t_{0.02} = 2.5083<u><em /></u>

(81 - 2.0583 \frac{13}{\sqrt{23} } , 81 + 2.0583 \frac{13}{\sqrt{23} } )

( 81 - 5.57940 , 81 + 5.57940)

(75.4206, 86.5794)

<u><em>Final answer:-</em></u>

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

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Determine the distance between the points (-2,3) and (5,- 3).
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