The graph of f(x)=4x^3-13x+9x+2 is shown below. How many roots of f(x) are rational numbers? Quick Please!!!!
1 answer:
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Answer:
Length of the rectangle is = 8 inches.
Step-by-step explanation:
Given :
Area of square = Area of the rectangle
According to the question:
Length of the square be 'x'.
Its area = (Side)*(Side) = ...equation (i)
Length of the rectangle =
Width of the rectangle =
Area of the rectangle =Length * Width
⇒
⇒ ...equation (ii)
Equating both the equation as area of both the figure are equal.
⇒
⇒ ...subtracting
both sides
⇒ ...dividing both sides with 2
⇒ inches
Plugging the value of x=4 in the length of the rectangle.
We have,
⇒
So the length of the rectangle = 8 inches.
Answer:
There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.
P-value = 0.166.
Step-by-step explanation:
We start by calculating the mean and standard deviation of the sample:
Then, we can perform the hypothesis t-test for the mean.
The claim is that the amount of vitamin C in a tablet sample is different from 500 mg.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample has a size n=5.
The sample mean is M=496.8.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.5.
The estimated standard error of the mean is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this sample size are:
This test is a left-tailed test, with 4 degrees of freedom and t=-1.1, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.166) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.