Answer:
<h3>The answer is 2</h3>Step-by-step explanation:
The gradient of a line given two points can be found by using the formula
From the question we have
We have the final answer as
<h3>2</h3>Hope this helps you
Given the vectors w = <-5, 3> and z = <1, 4>, find the results of the vector subtractions.
1 answer:
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The probability that the transistor will last between 12 and 24 weeks is 0.424
X= lifetime of the transistor in weeks E(X)= 24 weeks
O,= 12 weeks
The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.
X~gamma()
E(X)=
=
=6 weeks
V(x)=
=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X, ,
, False)
P()
P()
P()
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
To learn more about probability click here:
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Answer:
Now we can calculate the p value with the following probability:
The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.
Step-by-step explanation:
Information given
represent the mean for sample 1 (younger)
represent the mean for sample 2 (older)
represent the sample standard deviation for 1
represent the sample standard deviation for 2
sample size for the group 2
sample size for the group 2
t would represent the statistic
System of hypothesis
We want to test if that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
And the degrees of freedom are given by
Replacing the info given we got:
Now we can calculate the p value with the following probability:
The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.