Answer:
Step-by-step explanation:
we know that
The roots of the polynomial are values of x when the value of the polynomial is equal to zero
x=-3 ----> (x+3)=0
x=-1 ----> (x+1)=0
x=4 ----> (x-4)=0
so
The equation of the polynomial is
Remember that
f(-2)=24
That means
For x=-2
f(x)=24
substitute the value of x and the value of y and solve for the coefficient a
substitute
Applying distributive property
Convert to expanded form
Answer: 9420meters³
Step-by-step explanation:
The formula to calculate the volume of the cylindrical tank will be:
= πr²h.
where,
π = 3.14
r = radius = diameter/2 = 20/2 = 10
h = height = 30
Volume = πr²h
= 3.14 × 10² × 30
= 3.14 × 100 × 30
= 9420meters³
Answer: 34 degrees of freedom should be used to find the p-value of the test .
Step-by-step explanation:
Degrees of Freedom relates to the maximum number of independent values, that have independence to vary in the sample.
Given : When testing the difference between two population means and the population variances are unknown and unequal, the degrees of freedom are calculated as 34.7.
But degree of freedom must be an integer , so we find the greatest integer less than equal to the calculated degree of freedom.
i.e. [df]=[34.7]= 34
Thus , 34 degrees of freedom should be used to find the p-value of the test .
Answer:
0.16
Step-by-step explanation:
We can convert 4 / 25 to 16 / 100. Since 100 ends in 2 zeroes, we know that there will be 2 digits after the decimal point, therefore, the answer is 0.16.
Answer:
9 inches.
Step-by-step explanation:
Fun question! The length of a space diagonal for a cube is
Thus, the first cube has a side diagonal of
The next cube would have a side diagonal of 3
The third cube would have a side diagonal of
And the fourth cube would have a side diagonal of 9.
Since the fifth cube has a side length equal to the side diagonal of the fourth cube, it should be 9 inches.