Answer:
Difference in the volume = 512 cm³ (Approx)
Step-by-step explanation:
Given:
Radius of cylinder A (r1) = 4 cm
Height of cylinder A (h1) = 18 cm
Radius of cylinder B (r2) = 5 cm
Height of cylinder B (h2) = 5 cm
Find:
Difference in the volume.
Computation:
Difference in the volume = Volume of cylinder A - Volume of cylinder B

Difference in the volume = 512 cm³ (Approx)
The shape of the graph is very similar to a natural logarithm, which is ln(x). ln(x) has an asymptote at x=0. Shift the graph 3 units to the left and you have the graph of ln(x+3), which has an asymptote at x= -3. Also, when x=0, ln(x+3) is about 1. I think ln(x+3) is the answer. Check this online graph to see if this matches:
https://www.desmos.com/calculator/ac1axswddl
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Answer:
we conclude:

Step-by-step explanation:
Given


To determine
In order to determine f(g(7)), the first step we need to do is to determine g(7)
so substitute x = 7 in g(x) = 2x + 2




so now we have

The next step to do is to substitute x = 16 in f(x) = 4x + 21




so we have

Therefore, we conclude:

Answer:
Check Explanation
Step-by-step explanation:
a) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
With p(japan) representing the true population proportion of US automobile that are made in Japan, the computer output 90% confidence
0.29938661 < p(japan) < 0.46984416
mean that p(japan); the true population proportion of US automobile that are made in Japan lies within the range of proportions (0.29938661, 0.46984416) with an assurance level of 90%.
b) 90% confidence mean that the true proportion may or may not be in the given range, but we are 90% certain that it does.
c) The confidence interval contradicts the politician's claim that "Half of all cars in the United States are made in Japan" because the proportion in the politician's claim, (0.50), does not lie within the range of values that our confidence interval says the true population proportion can take on; (0.29938661, 0.46984416).
0.50 lies outside of the confidence interval obtained for the true population proportion of US automobiles that are made in Japan, hence, the confidence interval contradicts the politician's claim.
Hope this Helps!!!