The complete factor of the expression is
correct option is D.
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is .
To solve the expression properly we have to take common (2x²). Then we have
The factor is .
More about the factorization link is given below.
Answer:
Step-by-step explanation:
From the table given in the question,
x y Difference Ratio
1 12 - -
2 36 36-12 = 24
3 108 108-36 = 72
4 324 324-108 = 216
5 972 972-324 = 648
There is a common ratio of 3 in each successive term.
Therefore, data given in the table will represent an exponential function.
For a point
------(1)
For another point of the table ,
--------(2)
Equation (2) divided by equation (1)
From equation (1),
Therefore, exponential function will be,
Complete Question
The complete question is shown on the first uploaded image
Answer:
Yes the students are reasonably good at estimating one minute
a
Option A is correct
b
The test statistics is
Step-by-step explanation:
From the question we are told that
The set of data is
68, 82 , 38 , 62 , 41, 25 , 57 , 64, 67, 47, 61, 71, 91, 87, 64
The population mean is
The level of significance is given as
The critical value for this level of significance obtained from the normal distribution table is
The null hypothesis is
The alternative hypothesis is
Generally the sample mean is mathematically represented as
where n = 15
So
The standard deviation is mathematically represented as
substituting values
=>
The test statistics is evaluated as
substituting values
Now comparing the statistics and the critical value of the level of significance we see that the the test statistics is less than the critical value
Hence the we fail to reject the null hypothesis which mean that these times are from a population with a mean equal to 60 seconds
So we can state that yes the students are reasonably good at estimating one minute given that the sample mean is not far from the population mean
