Answer:
The third angle of the triangle is 70°.
Step-by-step explanation:
The two angles of a triangle (say Δ ABC) are given to be 30° and 80°.
We have to find the third angle.
Let us assume that ∠ A = 30° and ∠ B = 80°, then we have to find ∠ C.
Now, we know that, ∠ A + ∠ B + ∠ C = 180° {Property of a triangle}
⇒ 30° + 80° + ∠ C = 180°
⇒ ∠ C = 180° - 30° - 80° = 70°
Therefore, the third angle of the triangle is 70°. (Answer)
Answer: Population has a standard deviation of 32. What is the standard error f the sampling distribution if the sample size is 100?
Step-by-step explanation: Here we are told that a population has a standard deviation of 32 and that we have a sample of size 100 from this population that are asked for the standard error of the sampling distribution. Now it would be important to know what statistic we are taking from these samples. Now we would need to know what what statistic we're taking from these samples. Um I'm assuming that we're talking about sample averages in this case the standard error is well, let's sample averages are just distributed like this. They are so we have anna's big, which means that our sample averages are going to be approximately normally distributed. The mean of the sample averages will be equal to the mean of the population, and the standard air of the sample averages will be equal to the population. Standard deviation divided by the square root of the sample size. So this is our standard error of the sampling distribution, And so this is equal to 3.2. So that is your answer. That is the standard error of the sampling distribution. When the sample size is 100 is 32 I hope that helped
Answer:
552
Step-by-step explanation:
This is a problem of permutation which can be solved by rule of fundamental counting principle.
This principle states that if there "m" ways of doing one thing and "n" ways of doing other. Then no. of ways in which both the things can be done together is "m*n". This can be extended for m, n, p,r, s things and so on.
example: if there are 5 shirts and 3 trousers then number of ways in which the shirts and trousers can be worn is 5*3 = 15 ways.
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The given problem is on similar concepts.
here 6 short stories, 4 novels, and 23 poems have to be assigned to his class.
Thus it can be done in 6*4*23 = 552 ways.
72.5 weeks. if you subtract 1,000 from 2,450, you will have 1,450. now, divide this by 20. it is 72.5 weeks.
