In professional basketball games, the fans of the home team always try to distract free throw shooters on the visiting team. To investigate whether this tactic is actually effective, the free throw statistics of a professional basketball player with a high free throw percentage were examined. During the entire last season, this player had 656 free throws, 420 in home games and 236 in away games. The results are summarized below. Home Away Sample size, n 420 236 Free throw percent, p 81.5% 78.8% (a) State the null hypothesis Ho, alternative hypothesis H, and the tail test. (b) Calculate the test statistic Z* (c) Given a = 0.01, determine the Z- critical value.

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Q: 15 - How many significant figures are there in the number of 0.0308000?

A: The rule is: the zero before the non zero digit are considered as insignificant

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Q: When 6 is added to four times a number, the result is 50. Find the number A) 10 B) 11 C) 12 D) 13

A: Let a number x.

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Q: b) Ab ten YOU You tham Probe bi Orobabili

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Q: a) and b) too please

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Q: 2 (1+ 9x)* (1+3) dx 3/7

A: Solving the problem by finding the value of the integration.

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Q: Simplify fully: 15 a) 12 28

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Q: Simplify. Choices for 77-80: 77. (x) A) 0 B) 1 78. x2 D) x 2 E) x3 3 AC) x 12 AD) x2 3 79. 4 1 BC)…

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Q: 10 - In a group of 30 people, 15 run, 13 swim, 13 cycle, 5 run and swim, 8 cycle and swim, 9 run and…

A: given in a group of 30 people , 15 run , 13 swim , 13 cycle , 5 run and swim , 8 cycle and swim , 9…

Q: Evaluate 4dx A) 10 B) 8 C) 6 D) 12 NO

A: We need to evaluate the following.

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Q: 9=? a)17 b)18 c)60

A: Explanation and solutions is given below....

Q: 15 20 бх — 7 |- 36

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Q: 1) 5 m 12 m

A: This a right angle triangle so we used pythogorus theorem

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Q: L

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Q: ract the following fractions. Write you c) 7. 3 8 8 8. 6 3 9 9 e) 104 - 55 10 10 tion below. II

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.