The number terms in the given expression is 3, they are 5xy, -3x and -82.
The given expression is 5xy-3x-82.
<h3>What is an expression?</h3>
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
In the given expression 5xy-3x-82, there are three terms, which are 5xy, -3x and -82.
Therefore, the number terms in the given expression is 3, they are 5xy, -3x and -82.
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3.5 because 42 divided by 12 is 3.5
Answer:
The approximated value of the standard deviation is 0.35.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
Then, the mean of the distribution of sample means is given by,
And the standard deviation of the distribution of sample means is given by,
The information provided is:
<em>n</em> = 100
<em>σ</em> = 3.5
<em>μ</em> = 66
As the sample size is quite large, i.e. <em>n</em> = 100 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.
Then the approximated value of the standard deviation of sampling distribution of sample mean is:
Thus, the approximated value of the standard deviation is 0.35.
Q1
————
16
π
Explanation:
To find the circumference of a circle, you need the radius.
Remember that the area of a circle is
A
=
π
r
2
Since we know the area, we can plug it in for
A
64
π
=
π
r
2
64
π
=
π
r
2
64
=
r
2
Take the square root of both sides to find the radius:
r
=
8
Now, use the circumference formula of
2
π
r
C
=
2
π
(
8
)
This simplifies to the circumference equalling
16
π
Answer
There is a correlation (negative correlation in fact because patient numbers decrease with an increase in temperature or vice versa) between outside temperature and number of patient visits. There may or may not be causation. Further studies would have to be done to determine this.
There might be a causation factor because lower temperatures is associated with winter which is influenza season.
This means that it is reasonable to assume correlation may mean causation.
If it was let’s say a correlation between sales of ice cream and number of people drowning. There is no causation, as sales of ice cream don’t directly impact number of drowning incidents. It’s due to a hidden variable (temperature).
