2. 12x 4. 16x + 8y 6. 11x
Answer:
This is going to be really long so sorry in advance :)). So i split the shape into two (so straight down).This therefore allows me to calculate the areas of both rectangles and add them together - (to give total area)
Area of A x(x^2-6)
=x^3-6x
Area of B
=(2x^3-5x^2-12x+14) (5x-14)
10x^4-28x^3-25^3-70x^2-60x^2+168x+70x-196
simplified: 10x^4-53^3-130x^2+238x-196
so add both areas to give total are:
=(x^3-6x) +(10x^4-53x^3-130x^2+238x-196)
=10x^4-52x^3-130x^2+232x-196
Thats it hope it helps :)
Step-by-step explanation:
(1/4ab)^-2
Remove negative exponent by rewritten the equation as (4ab)^2
AUse Product rule to get:
4^2a^2b^2
Now raise 4 to the second power to get:
16a^2b^2
The last answer is correct.
Answer:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
We assume for this case a confidence level of 95%. In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:

The confidence interval for the mean is given by the following formula:
The margin of error for the proportion interval is given by this formula:
(a)
And if we replace the values obtained we got this:
The question is missing important data. The quadrilateral having vertices A, B, C and D is a cyclic quadrilateral.
Answer:
B) 85°
Step-by-step explanation:
Given:
A cyclic quadrilateral with ∠A is 95° and ∠B is 105°.
For a cyclic quadrilateral, the sum of the opposite interior angles is equal to 180°
Therefore, sum of angles A and C is 180°.

Therefore, the correct option is option B) 85°