Answer:
4.03 < 16.5
Step-by-step explanation:
Four and three hundreths = 4.03
sixteen and five-tenths = 16.5
4.03 < 16.5
Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).
Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.
where:
M = sample mean
Z = Z statistic determined by confidence level
sM = standard error = √(s2/n)
As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)
Answer:
The answer is:
![(56 - 28 \sqrt{3} )m](https://tex.z-dn.net/?f=%2856%20-%2028%20%5Csqrt%7B3%7D%20%29m)
Step-by-step explanation:
Let the broken part is (x) m
so other part is (14-x) m
![\sin(60) = \frac{14 - x}{x}](https://tex.z-dn.net/?f=%20%5Csin%2860%29%20%20%3D%20%20%5Cfrac%7B14%20-%20x%7D%7Bx%7D%20)
![\sin(60) = \frac{ \sqrt{3} }{2}](https://tex.z-dn.net/?f=%20%5Csin%2860%29%20%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B2%7D%20)
![= x = (56 - 28 \sqrt{3} )m](https://tex.z-dn.net/?f=%20%3D%20x%20%3D%20%2856%20-%2028%20%5Csqrt%7B3%7D%20%29m)
Answer:
The probability is 0.25
Step-by-step explanation:
Here is a probability question.
We want to know the probability of picking a card which is in the spades suit.
Now, what we know is that there are a total of 52 cards and we have 4 suites.
Each suite have equal number of cards. So definitely the number of cards in the spades suit will be 52/4 = 13 cards
Thus, the probability of picking any card in the spades suit = number of cards in the spades suit/ Total number of cards in the deck
Mathematically that would be 13/52 = 1/4 = 0.25
Answer:
B and C, Benjamin and Cynthia.
Step-by-step explanation:
Next part (Cynthia's score) is 0.2