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3 years ago

What is the vertex of y=ax^2+c

Mathematics

1 answer:

levacccp [35]3 years ago

8 0

9514 1404 393

Answer:

(0, c)

Step-by-step explanation:

Compare the given equation to the vertex form equation ...

y = a(x -h)^2 +k . . . . quadratic with vertex (h, k)

You have ...

y = ax^2 +c

Matching these forms, we see that h=0, and k=c. Then the vertex is ...

(h, k) = (0, c)

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Store A uses the newsvendor model to manage its inventory. Demand for its product is normally distributed with a mean of 500 and

ra1l [238]

Answer:

$P(X$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the Demand for its product on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=500,\sigma=300)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

What is its in-stock probability if Store A’s order quantity is 800 units?

We are looking for this probability:

What is its in-stock probability if Store A’s order quantity is 800 units?

So we can find the following values:

$P(X>800)$ and $P(X$

Sor this problem we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

If we find the z score for the value 800 we got:

$z=\frac{800-500}{300}=1$

And if we find:

$P(X$

And by the complement rule:

$P(X>800)=1-P(X$

6 0

3 years ago

2 Points

yarga [219]

Answer:

Step-by-step explanation:

4.7y

8 0

4 years ago

Graph the exponential function.

Verdich [7]

$\bf \: f(x) = \frac{3}{2} \times {2}^{x} \\ \\ = > \bf \: f(0) = \frac{3}{2} \times {2}^{0} = \frac{3}{2} \times 1 = \frac{3}{2} = 1.5 \\ \\ = > \bf \: f(1) = \frac{3}{2} \times {2}^{1} = 3 \\ \\ = > \bf \: f(2) = \frac{3}{2} \times {2}^{2} = 6 \\ \\ = > \bf \: f( - 1) = \frac{3}{2} \times {2}^{ - 1} = \frac{3}{2} \times \frac{1}{2} = \frac{3}{4} = 0.75 \\ \\ = > \bf \: f( - 2) = \frac{3}{2} \times {2}^{ - 2} = \frac{3}{2} \times \frac{1}{4} = \frac{3}{8} = 0.375$

7 0

3 years ago

A bank requires a four-digit access code for each account. The access code is generated using the digits 0–9, and the digits can

kow [346]

Answer:

Hence, the probability of an access code “1234”= $\dfrac{1}{10000}$

Step-by-step explanation:

<em>" The probability of an event is defined as the ratio of total number of favourable outcomes to the total number of possible outcomes ".</em>

A bank requires a four-digit access code for each account. The access code is generated using the digits 0–9, and the digits can be repeated.

The total number of outcomes possible are 10×10×10×10=10000

since the first place any of the 10 digits are possible, similarly for the second, third and fourth place.

Also each code is a unique representation in itself.

Hence the code "1234" is unique.

Hence, the probability of an access code “1234”= $\dfrac{1}{10000}$

6 0

3 years ago

Read 2 more answers

A boat can travel 23mph in still water. If it travels 248 miles with the current in the same length of time it travels 120 miles

mixas84 [53]

Answer: the speed of the current is 8 mph.

Step-by-step explanation:

Let represent the speed of the current

boat can travel 23mph in still water. This means that the total speed with which the boat travelled is (23 + x) mph.

Time = distance/speed

If it travels 248 miles with the current, it means that the time it took the boat to travel with the current is

248/(23 + x)

in the same length of time it travels 120 miles against the current. This means that the total speed with which the boat travelled is (23 - x) mph. The time it took the boat to travel against the current is

120/(23 - x)

Since the time is the same, it means that

248/(23 + x) = 120/(23 - x)

Cross multiplying, it becomes

248(23 - x) = 120(23 + x)

5704 - 248x = 2760 + 120x

120x + 248x = 5704 - 2760

368x = 2944

x = 2944/368

x = 8 mph

4 0

3 years ago