Answer:
Researchers are<u> 95%</u> certain that the interval ($2005.76, $2024.24) contains the mean monthly rental cost of <u>all rent-controlled apartments in Brooklyn</u>.
Step-by-step explanation:
Last part of the question and choices are missing. Full question is like this:
Researchers conducted a study to determine the monthly rental cost of rent-controlled apartments in the five boroughs of New York City in 2012. The study randomly sampled 203 apartment records from Brooklyn, obtained from a large collection of income- and expense-filing statements. The 95% confidence interval of rent-controlled apartment costs in Brooklyn was $1,025.00 ± ± $9.24. The cost of all rent-controlled apartments in Brooklyn has a standard deviation of $67.20. State the conclusion of the z z -confidence interval for the mean.
Researchers are ________certain that the interval ($2005.76, $2024.24) contains the mean monthly rental cost of _____.
all rent-controlled apartments in New York City.
all rent-controlled apartments in Brooklyn.
the 98 apartments in the sample.
all apartments in Brooklyn.
Confidence Intervals give a range of values that the statistic (mean cost of all rent-controlled apartments in Brooklyn) can assume in a <em>confidence level </em>(95%). Confidence levels give the levels we can be sure (95%) that the statistic falls within the interval.
Since the sample is about the rent-controlled apartments in Brooklyn, the confidence interval gives an estimate of the rent-controlled apartments in Brooklyn, not in New York.
I. Multiply the first function by the second one.
f(x)*g(x) = (x^2+3x-4)*(x+4) = x^3 + 3x^2 - 4x + 4x^2 + 12x -16 = x^3 +7x^2 + 8x - 16.
The domain of this new function is the set of all real numbers (R). Other notation: from minus infinity to plus infinity. We came to this conclusion because the new function poses no restrictions; regardless of which x-value you take, you will get the appropriate y-value.
II. f(x)/g(x) = (x^2+3x-4)/(x+4) =
Ask yourself: which two numbers add up to 3 and multiply to -4? It's -1 and 4. Now we can represent f(x) as (x-1)(x+4).
Since we're dividing these 2 brackets by g(x)=x+4, we may now cancel (x+4). All that's left is x-1.
The domain here is the same as in the previous task - it is R.
Answer:
B
Step-by-step explanation:
3 x -9 which is -27. Then you have to add the exponents, so it will be x^4+2 = x^6 , y^3+2 = y^5, z^1+2 = z^3. so your answer will be -27 x^6 y^5 z^3
for
x
y
: To do this we must divide each side of the equation by
2
y
which will give us
x
y
while keeping the equation balance.
Answer:
2
Step-by-step explanation:
you do the (* first so it 8 then you add it with -6 which decreases it that makes 2 and 2 divided by 2 is one so add all together and get 2
