Yes, parentheses can change the order in which operations are performed in an expression.
Let us understand this with two examples.
First example.
Let us suppose we have to simplify the expression
In this expression we have evaluated subtraction first instead of multiply.
Second example.
Let us suppose we have to simplify the expression
In this expression we have evaluated multiplication first and then subtraction.
Therefore, from above two examples we can see that parentheses can change the order in which operations are performed in an expression.
Answer:
The possible combinations are (4 & 6) ,(8 &3), (2 &12), (24 &1)
Step-by-step explanation:
The area of a flower bed is 24 square feet.
Now, the factors of 24 are 2 x 2 x 2 x 3.
Hence, if the other sides were whole number dimensions, then the possible combinations will be (4 & 6) ,(8 &3), (2 &12), (24 &1)
Step-by-step explanation:
The Ratio is given as 100:1
Which means In 1 minute you travelled 100 steps
Therefore,
- In 2 minutes you will travel = 2×100 = 200 steps
- In 3 minutes you will travel = 3×100 = 300 steps
- In 4 minutes you will travel = 4×100 = 400 steps
Answer:
16 years
Step-by-step explanation:
Given that :
Earth's distance from sun = 93 million miles
Number of years to complete an orbit = 1 year
Average orbiting distance of new asteroid = 1488 million miles
Number of years to complete an orbit = x
93,000,000 Miles = 1
1488000000 miles = x
Cross multiply :
93000000x = 1488000000
x = 1488000000 / 93000000
x = 16 years
Period taken to orbit the sun = 16 years
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.
