Step-by-step explanation:
hihi, so given a statistic, a sample standard deviation, and the sample size, we can create a 99% confidence interval for this distribution. Given the equations for confidence interval and Margin of Error, all we have to calculate initially is t* (invT(.995, 85-1)) and Standard error (34/sqrt(85)). Once we have these numbers, it's as easy as plugging in and doing some simple calculations to reaching our upper and lower fences of our interval. (136.28, 155.72). Any value below the lower fence or any value above the upper fence is not in our interval
9514 1404 393
Answer:
BD = 17
Step-by-step explanation:
The Pythagorean theorem can be used twice:
BC^2 + AC^2 = AB^2
BC = √(AB^2 -AC^2) = √(25^2 -24^2) = √49 = 7
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Likewise, ...
DC = √(AD^2 -AC^2) = √(26^2 -24^2) = √100 = 10
Then ...
BD = BC +DC = 7 + 10
BD = 17
Let adults = X
Then children would be 2x ( Twice as many as adults, means 2 times the amount of adults)
Now we have adults plus children equal 36:
X + 2X = 36
2X + X = 3x
Now we have 3X = 36
Divide both sides by 3 to solve for X
X = 36/3
X = 12
2X = 2*12 = 24
There were 12 adults and 24 children
Answer:
37.70% probability that the student will pass the test
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student guesses it correctly, or he does not. The probability of a student guessing a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
10 true/false questions.
10 questions, so
True/false questions, 2 options, one of which is correct. So
If a student guesses on each question, what is the probability that the student will pass the test?
37.70% probability that the student will pass the test