(4x2 + 2y)(3x+y^2)
= 12x^3 + 4x^2y^2 + 6xy + 2y^3
coefficient of xy is ----> 6
Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
The degrees of freedom are given by:

The p value for this case taking in count the alternative hypothesis would be:
Step-by-step explanation:
Information given
represent the sample mean for the amount spent each shopper
represent the sample standard deviation
sample size
represent the value to verify
t would represent the statistic
represent the p value f
Part a
We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic for this case would be given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:

The p value for this case taking in count the alternative hypothesis would be:
The x-coordinate of the axis os symmetry of a quadratic is the x-coorfinate of its vertex. To find the y-coordinate of the vertex here we would substitute -5 for x in:

The coordinates of the vertex are (-5,41)
Answer:20%
Step-by-step explanation:
Percentage decrease=(65.50-52.40)/65.50 x 100
Percentage decrease=13.1/65.50 x 100
Percentage decrease=0.2 x 100
Percentage decrease=0.2 x100
Percentage decrease=20
Answer:

Step-by-step explanation:
<u>Given that:</u>
ΔUVW,
Side w = 44 cm, (It is the side opposite to
)
Side u = 83 cm (It is the side opposite to
)
and ∠V=141°
Please refer to the attached image with labeling of the triangle with the dimensions given.
Area of a triangle with two sides given and angle between the two sides can be formulated as:

Where a and b are the two sides and
is the angle between the sides a and b
Here we have a = w = 44cm
b = u = 44cm
and ∠C= ∠V=141
Putting the values to find the area:

So, the <em>area </em>of given triangle to the nearest square centimetre is:
