Answer:
Step-by-step explanation:
Given fractions:
We first find the equivalent fractions of the given fractions
Comparing the fractions starting from the smallest.
Hence the order of the given fractions from the smallest is:
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2 answers:
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If D varies directly with t and D is 105 when t is 3 then value of D when t is 8 is equal to 280
<u>Solution:</u>
In this sum we have been given that there is a direct relationship between d and t.
If d is 105 when t is 3 so now, we need to find d when t is 8.
To do this we can simply use the unitary method. The definition of unitary method is, the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, according to the definition we need to find the value of d when t is 1.
This can be done as follows:
Therefore, the value of d when t = 1 is 35.
Now, if the value of t=8 then d becomes:
Hence, when t=8 the value of d is 280.
Answer:
a) The expected value is given by:
The variance is given by:
And the standard deviation is just the square root of the variance and we got:
b)
And we can use the cumulative distribution function given by:
And using this function we got:
c)
And using the complement rule and the cumulative distribution function we got:
Step-by-step explanation:
For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:
Part a
The expected value is given by:
The variance is given by:
And the standard deviation is just the square root of the variance and we got:
Part b
For this case we want this probability:
And we can use the cumulative distribution function given by:
And using this function we got:
Part c
For this case we want this probability:
And using the complement rule and the cumulative distribution function we got: