Estimate and classify the critical points for the graph of each function.

Mathematics

1 answer:

Neko [114]3 years ago

6 0

Answer: B

(0.5, 7), maximum; (2, 1), point of inflection; (3.5, –5), minimum

Critical points of a function are those points at which a line drawn tangent to the curve is horizontal or vertical. On the graph, maximum and minimum points look like peaks and valleys, respectively. Points of inflection that are critical points are places where the curve flattens out and changes from being bent upward to being bent downward or vice versa.

Just passed the test

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ololo11 [35]

Answer:

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$CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}$

Step-by-step explanation:

We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, $\bar x$ , approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is $\left | \bar{x} - \mu \right |$

1. The error in the assumption is taking the sample mean, $\bar x$ , as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

$CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}$

Where:

σ = Population standard deviation = $30

z = z value at 95% confidence level = 1.96

$\bar x$ = Sample mean $160

n = Sample size = 10

Plugging in the values, we have;

$141.4 < $\bar x$ < $178.6

Hence the expected value of the mean should be between $141.4 and $178.6.

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2 years ago

Rozalie spent $26 at a parking garage in downtown Orlando. The garage charged a base free of $7.50 for the first hour and a hour

bagirrra123 [75]

ANSWER : Rozalie spent 6.73 hours at the garage

rate of change = $2.75
base fee = $7.50

set up your equation:
2.75h + 7.5 = 26
($2.75/hour plus the base fee of $7.50 equals the total amount spent, $26)

Now just solve for h

2.75h + 7.5 = 26
2.75h = 18.5
h = 6.727273 (rounded)
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So the answer would be Rozalie spent about 6.73 hours at the garage.

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2 years ago

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Tems11 [23]

Its in the ones place.

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2 years ago

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eduard

The surface of the lake.
6
5
4
3
2
1
0 Here is the surface of the lake
-1
-2
-3
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