The following quadratic function in general form,

sagnuhh
2020-11-07
Answered

The following quadratic function in general form,

You can still ask an expert for help

Macsen Nixon

Answered 2020-11-08
Author has **117** answers

Given:

The number of luxury home sales S(t) in a major Canadian urban area over a period of 12 year is given by:

$\Rightarrow S\left(t\right)=5.8{t}^{2}-81.2t+1200$

For minimum number of sales:

$\Rightarrow \frac{dS\left(t\right)}{dt}=0$

$\Rightarrow \frac{d(5.8{t}^{2}-81.2t+1200)}{dt}=0$

$\Rightarrow 11.6t-81.2=0$

$\Rightarrow 11.6t=81.2$

$\Rightarrow t=\frac{81.2}{11.6}$

$\Rightarrow t=7$

So, minimum number of sales is given by

$\Rightarrow S\left(7\right)=5.8{\left(7\right)}^{2}-81.2\left(7\right)+1200$

$\Rightarrow S\left(7\right)=284.2-568.2+1200$

$\Rightarrow S\left(7\right)915.8$

$\Rightarrow S\left(7\right)\stackrel{\sim}{=}916$

The number of luxury home sales S(t) in a major Canadian urban area over a period of 12 year is given by:

For minimum number of sales:

So, minimum number of sales is given by

Jeffrey Jordon

Answered 2021-10-27
Author has **2027** answers

Answer is given below (on video)

asked 2021-03-07

A parks and recreation department is constructing a new bike path. The path will be parallel to the railroad tracks shown and pass through the parking area al the point $(4,\text{}5).$ Write an equation that represents the path.

asked 2021-02-25

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station. The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task. $(1,3),(2,6),(3,12),(4,24)$

Part A: Is this data modeling an algebraic sequence or a geometric sequence? Explain your answer.

Part B: Use a recursive formula to determine the time she will complete station 5.

Part C: Use an explicit formula to find the time she will complete the 9th station.

Part A: Is this data modeling an algebraic sequence or a geometric sequence? Explain your answer.

Part B: Use a recursive formula to determine the time she will complete station 5.

Part C: Use an explicit formula to find the time she will complete the 9th station.

asked 2020-11-20

The article “Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants” (Water Research, 1984: 1169-1174) suggests the uniform distribution on the interval (7.5, 20) as a model for depth (cm) of the bioturbation layer in sediment in a certain region. a. What are the mean and variance of depth? b. What is the cdf of depth? c. What is the probability that observed depth is at most 10? Between 10 and 15? d. What is the probability that the observed depth is within 1 standard deviation of the mean value? Within 2 standard deviations?

asked 2021-01-06

A weather forecaster predicts that the temperature in Antarctica will decrease ${8}^{\circ}F$ each hour for the next 6 hours. Write and solve an inequality to determine how many hours it will take for the temperature to drop at least ${36}^{\circ}F$

asked 2021-08-04

Solve the following

If the join probability distribution of X and Y iss given by

$f(x,y)=\frac{x+y}{30}$

f or$x=0,\text{}2,\text{}3:$

$y=0,\text{}1,\text{}2$

Find

a)$P(X\le 2,\text{}Y=1).$

b)$P(X>2,\text{}Y\le 1).$

c)$P\left(X>Y\right).$

If the join probability distribution of X and Y iss given by

f or

Find

a)

b)

c)

asked 2021-03-07

M. F. Driscoll and N. A. Weiss discussed the modeling and solution of problems concerning motel reservation networks in “An Application of Queuing Theory to Reservation Networks” (TIMS, Vol. 22, No. 5, pp. 540–546). They defined a Type 1 call to be a call from a motel’s computer terminal to the national reservation center. For a certain motel, the number, X, of Type 1 calls per hour has a Poisson distribution with parameter $\lambda =1.7$ .

Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be:

a) exactly one.

b) at most two.

c) at least two.

(Hint: Use the complementation rule.)

d. Find and interpret the mean of the random variable X.

e. Determine the standard deviation of X.

Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be:

a) exactly one.

b) at most two.

c) at least two.

(Hint: Use the complementation rule.)

d. Find and interpret the mean of the random variable X.

e. Determine the standard deviation of X.

asked 2020-11-05

How do frequency tables, relative frequencies, and histograms showing relative frequencies help us understand sampling distributions?
They show each data point in the sampling distribution and how it relates to the overall distribution.They provide insight into the overall behavior of the population, therefore helping us understand the sampling distribution. They help us visualize the sampling distribution by using tables and graphs that approximately represent the sampling distribution.They help us visualize the sampling distribution by using tables and graphs that approximately represent the population distribution.