Answer:
Step-by-step explanation:
Gary used landscape timbers to create a border around a garden shaped like a right triangle. The longest two timbers he used are
1 answer:
Answer:
9 feet
Step-by-step explanation:
Given:
The border of the garden is a right angled triangle.
Two lengths are given as 12 ft and 15 ft.
Let the length of the shortest timber be 'x' feet.
Now, in a right angled triangle, the longest length is called the hypotenuse.
As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:
The negative value is neglected as length can never be negative.
Therefore, the length of the shortest timber is 9 feet.
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Denote by M the point of intersection of the medians.
Denote also the distance DM by x and the distance QM by y.
From the median properties of triangles we know that
Also,
Since the medians are perpendicular, we deduce that:
Then, since
Denote also the distance DM by x and the distance QM by y.
From the median properties of triangles we know that
Also,
Since the medians are perpendicular, we deduce that:
Then, since
Answer:
Hence, option 1 is correct.
Hence, last option is correct.
Step-by-step explanation:
We have given two function
and
Domain is the values x can take and
And range is the values y can take
Hence, x can take any real value in both the functions in f(x) and g(x)
Hence, option 1 is correct
Now, for range
range of f(x) can be any real number
But range of g(x) can be positive number
Hence, last option is correct.
Rest all options are incorrect.
Answer:
c 23 and 0.46 are statistics and 0.484 is a parameter
True. For this case the value 0.46 represent t statistic since from the sample obtained we can calculate the sample proportion of people who voted for Gore like this:
Where X represent the people with the characteristic desired in the random sample selected.
So then we can say that 23 and 0.46 represent statistics since comes from the sample. And the value 0.484 is obtained from the population so then represent a parameter.
Step-by-step explanation:
Previous concepts
A parameter is any "numerical quantity that characterizes a given population or some aspect of it". For this case we are interested on proportions and we denote the population proportion by
A statistic is "used to estimate the value of a population parameter". In other words is just an estimation of the population parameter of interest. Four our case the sample proportion denoted by represent the statistic for this case.
Solution for the problem
a 0.46 and 0.484 are statistics
False. 0.484 is not an statistic since it's the outcome from the original population and would represent the parameter "proportion of people who vote for Gore"
b 50 and 23 are statistics and 0.484 is a parameter
False. The sample size is not an statistic is just a value selected in order to calculate the statistic.
c 23 and 0.46 are statistics and 0.484 is a parameter
True. For this case the value 0.46 represent t statistic since from the sample obtained we can calculate the sample proportion of people who voted for Gore like this:
Where X represent the people with the characteristic desired in the random sample selected.
So then we can say that 23 and 0.46 represent statistics since comes from the sample. And the value 0.484 is obtained from the population so then represent a parameter.