So how to solve x for 8/15+x=21/25 ?
1 answer:
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Answer:
The range of F(x) = logbx is the set of all positive real numbers is TRUE
Step-by-step explanation:
Given:
A function which logarithmic i.e F(x)=logbX=logx/logb with base 10
To Find;
Range belongs to All set are positive real numbers.
Solution:
The domain is function for which all set of inputs are defined and range for function is that set of all output that functions takes.
So Simple logarithmic function y=logbX is
So The functions has domain of all real values and range set of all real number.
In general the function F(x) = logbx where X>0 and b≠1 is continuous and one to one function.
logarithmic function is not defined for negative numbers or for zero.
And Also function approaches y-axis as x-tends to infinity but never touches the it.
Hence the Given statement is true
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the grades of a population, and for this case we know the distribution for X is given by:
For this case we have two conditions given:
or equivalently
And the best way to solve this problem is using the normal standard distribution and the z score given by:
So we can find a value from the normal standard distribution that accumulates 0.1 and 0.9 of the area in the left, for this case the two values are:
We can verify that P(Z<-1.28) =0.1[/tex] and P(Z<1.28) =0.9[/tex]
And then using the z score we have the following formulas:
(1)
(2)
If we add equations (1) and (2) we got:
We can multiply both sides of the equation by and we got:
And then we can find the standard deviation for example from equation (1) and we got:
So then the answer would be: