Answer:
![5\sqrt{3}](https://tex.z-dn.net/?f=5%5Csqrt%7B3%7D)
Step-by-step explanation:
![\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}=?\\\\1)\sqrt{8^2+15^2}=\sqrt{289}=17\\2)\sqrt{9^2+40^2}=\sqrt{1681}=41\\3)2\times17=34\\4)\sqrt{34+41}=5\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B2%5Csqrt%7B8%5E2%2B15%5E2%7D%2B%5Csqrt%7B9%5E2%2B40%5E2%7D%7D%3D%3F%5C%5C%5C%5C1%29%5Csqrt%7B8%5E2%2B15%5E2%7D%3D%5Csqrt%7B289%7D%3D17%5C%5C2%29%5Csqrt%7B9%5E2%2B40%5E2%7D%3D%5Csqrt%7B1681%7D%3D41%5C%5C3%292%5Ctimes17%3D34%5C%5C4%29%5Csqrt%7B34%2B41%7D%3D5%5Csqrt%7B3%7D)
All Done!
Answer:
Use the normal distribution if the population standard deviation is known.
Use the student's t distribution when the population standard deviation is unknown.
Explanation:
A mound-shaped distribution refers to the normal distribution.
A good sample size for testing against the normal distribution should be
n >= 30.
The condition for the sample size is satisfied.
However, we are not given the population standard deviation, therefore it is assumed to be unknown.
Therefore the student's t distribution should be used.
The pentagon's area is the sum of the 5 triangles that comprise it. This is
![5( \frac{1}{2}bh) \times 2=5(9)(6.2)= 279](https://tex.z-dn.net/?f=5%28%20%5Cfrac%7B1%7D%7B2%7Dbh%29%20%5Ctimes%202%3D5%289%29%286.2%29%3D%20279)
where the factor of 2 accounts for the top and bottom. The walls have an area of 5 rectangles
Answer:
The answer is below
Step-by-step explanation:
The question is not complete. A complete question is in the form:
A letter is chosen at random from the letters of the word EXCELLENT. Find the probability that letter chosen is i) a vowel ii) a consonant.
Solution:
The total number of letters found in the word EXCELLENT = 9
i) The number of vowel letters found in the word EXCELLENT = {E, E, E} = 3
Hence, probability that letter chosen is a vowel = number of vowels / total number of letters = 3 / 9 = 1 / 3
probability that letter chosen is a vowel = 1/3 = 0.333 = 33.3%
ii) The number of consonant letters found in the word EXCELLENT = {X, C, L, L, N, T} = 6
Hence, probability that letter chosen is a consonant = number of consonant / total number of letters = 6 / 9 = 2 / 3
probability that letter chosen is a consonant = 2/3 = 0.667 = 66.7%