-4.2/12 = -42/120 = -7/20
-2/7 / -8/21 = 3/4
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Answer: Choice D</h3>
To calculate a point estimate, we need to know the sample size.
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Explanation:
Let's go through the answer choices.
- A) False. A sample statistic could equal to the population parameter. It won't always happen, but it might happen sometimes (in rare cases).
- B) False. Point estimates are only defined for populations. They estimate a population parameter. For example, the sample mean xbar is a point estimate of the population mean (mu).
- C) False. In practice, we will hardly know anything about the population. This includes the population size. The goal of statistics is to measure population parameters by using sample statistics as estimation methods.
- D) True. We can easily calculate the sample size because it is relatively much smaller compared to the population. Plus, when selecting the sample, the sample size is often pre-determined to some set number. The sample size will help us determine things like the sample mean and the sample proportion.
Answer:
The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.
For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.
For p=5/36, that's
(536)25+636=2511⋅36,
and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is
836+236(2511+1610+99)=244495=12−7990≈12−0.007.
Step-by-step explanation:
Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:
p(4)=336+2736p(4),so thatp(4)=13.
Repeat this reasoning for the other outcomes and then compute the total probability of winning as:
ptot=836+336p(4)+436p(5)+…
Answer:
12 + 2w > 40
w > 19
Minimum value of w is 20 feet.
Step-by-step explanation:
Consider the provided information.
Sharon has at most $25 to spend on her sister's birthday gift.
That means Sharon can spend not more than $25.
She already bought a knitting machine for her, which cost $14.99.
She would also like to get her sister some skeins of yarn to go with it. Each skein costs $2.75.
Let y represent the number of skeins of yarn.
Thus, the required inequality is:
Now solve the above inequality.
Skeins must be an integer.
Hence, the most number of skeins Sharon can afford to buy is 3.
ona wants to bake at most 30 loves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50 , And each loaf of nut bread sells for $2.75. Cora wants to make at least $44. Write a system of inequalities to model the situation
Answer:
x=-2
Step-by-step explanation:
isolate the variable and the numbers
