Slope, found using the points is -55/11 = -5
We use that for the equation y=mx+b where m=-5. Since we also know one of the points, we can plug that in and find b
-12=-5(4)+b
-12=-20+b
8=b
So the equation of the line is y=-5x+8
Volume of a figure is the measure of the space that figure occupies. The approximate volume of the specified container is 87.92 cm³
<h3>What is the volume of sphere?</h3>
If the given sphere is of radius r units, then its volume is given as:

For the given case, the radius of the sphere is given to be 21 cm, and the value of pi is instructed to be used as 3.14
Thus, we have the volume of container as:

Thus,
The approximate volume of the specified container is 87.92 cm³
Learn more about volume of sphere here:
brainly.com/question/381274
Answer: 49+64i
Step-by-step explanation:
Concept to know:
i=√-1
i²=-1
i³=-i
=1
-------------------------------------
(-5+8i)(3-8i)
=-15+40i+24i-64i²
=-15+64i-64i²
=-15+64i+64 (remember, i²=-1)
=49+64i
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Answer:
0.95
Step-by-step explanation:
The computation of the probability that a customer neither buys beer nor buys cigars is given below;
Given that, the probabilities are
The customers who purchased cigars be 0.02
The customers who purchased cigars + beer 0.50
And, the customers who purchased beer + cigars be 0.25
Now the probabilities where the customer purchased both
= 0.05 × 0.02
= 0.10
The probability where the customer purchased beer is
= 0.01 ÷ 0.25
= 0.04
Now the probability where a customer neither buys beer nor buys cigars is
= 1 - 0.02 + 0.04 - 0.01
= 0.95