f(x) = -3x + 6
y = -3x + 6
x = -3y + 6
x - 6 = -3y
-3 -3
⁻¹/₃x + 2 = y
⁻¹/₃x + 2 = f⁻¹(x)
g(x) = x + 2
y = x + 2
x = y + 2
x - 2 = y
x - 2 = g⁻¹(x)
Answer: Yes, it would be biased. If David asked the question about movies, however, it would not be.
Step-by-step explanation: It would be biased because he is asking listeners to his show who send fan mail. Fan mail is typically only sent by people who enjoy the creator. Therefor, he would be surveying only people who enjoy his podcast so the results would be heavily biased. I am unsure about how the second part of the question relates to the first part. If David were to ask the same 100 individuals about their favorite movies rather than whether or not they liked his podcast, it would not contain biased results because he or his podcast does not have anything to do with movies. :)
I think this question is asking for the closest number to 500,000, which is 533,736. I don't know how to show work for this, except for saying this number is about 33,000 away from 500,000 which is the closest out of 429,455, 441,689, 533,736, and 550,198.
Answer: 14
<u>Step-by-step explanation:</u>
f(x) = 3x + 2
To find f⁻¹, swap the x's and y's and solve for y --> Note: f(x) is y
x = 3y + 2
x - 2 = 3y
f(f⁻¹(14)) = f(4)
f(4) = 3(4) + 2
= 12 + 2
= 14
NOTE: the simplified version is .... f and f⁻¹ cancel out, leaving you with 14
Answer:
23.9894949495cm is the depth of the container.
Step-by-step explanation:
Cylindrical container:
height: 28
radius: 9 (or 18/2)
pi * 9² = 254.4690049408
254.4690049408 * 28 = 7,125.1321383424 cm²
cylidrical container area: 7,125.1321383424cm²
Container:
length: 27cm
width: 11cm
27 * 11 = 297
7,125.1321383424 / 297 = 23.9894949495cm
I assume that the container with rectangular base is precisely full when tou pour the water into it.
And that your question was how deep the container was.
