Answer:
234.784 ~ 235
Step-by-step explanation:
One side = 210
other side = 105
a2+b2 = c2
210 ^2 + 105 ^2 = c2
55125 = c ^2
c = = 234.784 ~ 235
hope its right!!!
Kyle challenges you to a game. Each player rolls a standard number cube twice. If the sum of the results is divisible by 3, you
win. If it is not, Kyle wins. What is your probability of winning? Is this a fair game?
1 answer:
Answer:
The probability of you winning is 1/3
No, it is not a fair game
Step-by-step explanation:
The first thing we need to have here is the sample space. This refers to the set of all possible results that can occur from the rolling.
Please check attachment for this
Kindly note that the total number of possible outcomes is 36.
And in the attachment, sums which are divisible by 3 are circled.
The number of circles we can count is 12
Thus, the probability of you winning would be number of circles/total number of outcomes = 12/36 = 1/3
Is it a fair game?
No, it is not
It can only be a fair game if the probability of winning equals probability of losing ( which is 18/36 = 1/2 or 0.5)
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Answer: 1.645
Step-by-step explanation:
Given : The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles.
Let represents the variance for 16 OZ bottles and
represents the variance for 12 OZ bottles.
The Null and Alternative Hypothesis will be :-
, since alternative hypothesis is left-tailed , then the test is left-tailed test.
By using the standard normal distribution table for z, the critical value for this hypothesis:-