The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11, k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
=( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1 )* x^4 * ( - 2,187 y^7 ) =
= 330 * ( - 2,187 ) x^4 y^7 = - 721,710 x^4 y^7
Answer: The 8th term in expansion is
Answer:
B (-1,0), (3,0)
Step-by-step explanation:
Quadratic Formula
Answer:
There is not sufficient evidence to support a claim of linear correlation between the two variables.
Step-by-step explanation:
The data provided is as follows:
X Y
78 5.5
79 8.8
56.2 3.3
68.3 1.7
77.9 10.8
38.2 0.1
(a)
The scatter plot is attached below.
(b)
Use the Excel function: =CORREL(array1, array2) to compute the correlation coefficient, <em>r</em>.
The correlation coefficient between the number of internet users and the award winners is,
<em>r</em> = 0.797.
(c)
The test statistic value is:


The degrees of freedom is,
df = n - 2
= 6 - 2
= 4
Compute the <em>p</em>-value as follows:

*Use a <em>t</em>-table.
<em>p</em>-value = 0.057 > <em>α</em> = 0.05
The null hypothesis will not be rejected.
Thus, it can be concluded that there is not sufficient evidence to support a claim of linear correlation between the two variables.
Answer:
y= -2/3x-3
Step-by-step explanation:
The formula for slope-intercept form is y=mx+b. m=Slope. b=y-intercept. Therefore the equation would be y= -2/3x-3
By definition, the standard form of a polynomial is given by:

We then have the following polynomial:

Rewriting in its standard form we have:

We realize that the polynomial has three terms, therefore, it is a trinomial.
The largest exponent of the polynomial is three and therefore we have a trinomial of degree three.
Answer:

Three degree trinomial.