1) Let   x be a continuous random variable that follows a normal distribution with a mean of 321 and a standard deviation of 41.

(a) Find the value of   x > 321 so that the area under the normal curve from 321 to x is 0.2224.

Round your answer to the nearest integer.
The value of   x is_______

(b) Find the value of x so that the area under the normal curve to the right of x is 0.3745.

Round your answer to the nearest integer.
The value of   x is ______

2) A study has shown that 24% of all college textbooks have a price of $80 or higher. It is known that the standard deviation of the prices of all college textbooks is $10.00. Suppose the prices of all college textbooks have a normal distribution. What is the mean price of all college textbooks?

Round your answer to the nearest integer.

μ=

3) Use a table, calculator, or computer to find the specified area under a standard normal curve.

Round your answers to 4 decimal places.

a) More than a z-score of 2.48; area = _____________

b) More than a z-score of 1.7; area =_____________

c) More than a z-score of -0.41; area = _____________

d) More than a z-score of 00; area = _____________

4)

The highway police in a certain state are using aerial surveillance to control speeding on a highway with a posted speed limit of 55 miles per hour. Police officers watch cars from helicopters above a straight segment of this highway that has large marks painted on the pavement at  1-mile intervals. After the police officers observe how long a car takes to cover the mile, a computer estimates that cars speed. Assume that the errors of these estimates are normally distributed with a mean of  0 and a standard deviation of  3.58 miles per hour.

a. The state police chief has directed his officers not to issue a speeding citation unless the aerial units estimate of speed is at least 66 miles per hour. What is the probability that a car travelling at 61 miles per hour or slower will be cited for speeding?

Round your answer to four decimal places.

The probability that a car travelling at 61 miles per hour or slower will be cited for speeding is ______

b. Suppose the chief does not want his officers to cite a car for speeding unless they are 99% sure that it is travelling at 61 miles per hour or faster. What is the minimum estimate of speed at which a car should be cited for speeding?

Round your answer to the nearest integer.

The minimum estimate of speed is __

Part 1.

3.13 Overweight baggage: Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 44.8 pounds and standard deviation 3.3 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round to the nearest percent.) __________.

Part 2.

There are two distributions for GRE scores based on the two parts of the exam. For the verbal part of the exam, the mean is 151 and the standard deviation is 7. For the quantitative part, the mean is 153 and the standard deviation is 7.67. Use this information to compute each of the following:
(Round to the nearest whole number.)

a) The score of a student who scored in the 80-th percentile on the Quantitative Reasoning section. ________.
b) The score of a student who scored worse than 65% of the test takers in the Verbal Reasoning section. ________.

Part 3.

3.10 Heights of 10 year olds: Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 56 inches and standard deviation 5 inches.

a) What is the probability that a randomly chosen 10 year old is shorter than 47 inches? (Keep 4 decimal places.) ____________.
b) What is the probability that a randomly chosen 10 year old is between 60 and 66 inches? (Keep 4 decimal places.) __________.
c) If the tallest 10% of the class is considered "very tall", what is the height cutoff for "very tall"? (Keep 2 decimal places.) ________. inches
d) The height requirement for Batman the Ride at Six Flags Magic Mountain is 55 inches. What percent of 10 year olds cannot go on this ride? (Keep 2 decimal places.) %_______.

Part 4.

3.12 Speeding on the I-5, Part I: The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.1 miles/hour and a standard deviation of 5 miles/hour. (Keep 2 decimal places.)

a) What percent of passenger vehicles travel slower than 80 miles/hour? _________%
b) What percent of passenger vehicles travel between 60 and 80 miles/hour? ____________%
c) How fast do the fastest 5% of passenger vehicles travel? __________ miles/hour
d) The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5. __________%

8.16 LAB: Mileage tracker for a runner

Given the MileageTrackerNode class, complete main() to insert nodes into a linked list (using the InsertAfter() function). The first user-input value is the number of nodes in the linked list. Use the PrintNodeData() function to print the entire linked list. DO NOT print the dummy head node.

Ex. If the input is:

3
2.2
7/2/18
3.2
7/7/18
4.5
7/16/18

the output is:

2.2, 7/2/18
3.2, 7/7/18
4.5, 7/16/18

_____________________________

The given code that i need to use is:

______________________________

Main.cpp

#include "MileageTrackerNode.h"
#include <string>
#include <iostream>
using namespace std;

int main (int argc, char* argv[]) {
// References for MileageTrackerNode objects
MileageTrackerNode* headNode;
MileageTrackerNode* currNode;
MileageTrackerNode* lastNode;

double miles;
string date;
int i;

// Front of nodes list
headNode = new MileageTrackerNode();
lastNode = headNode;

// TODO: Read in the number of nodes

// TODO: For the read in number of nodes, read
// in data and insert into the linked list

// TODO: Call the PrintNodeData() method
// to print the entire linked list

// MileageTrackerNode Destructor deletes all
// following nodes
delete headNode;
}

___________________________________________________

MileageTrackerNode.h

#ifndef MILEAGETRACKERNODEH
#define MILEAGETRACKERNODEH

#include <string>
using namespace std;

class MileageTrackerNode {
public:
// Constructor
MileageTrackerNode();

// Destructor
~MileageTrackerNode();

// Constructor
MileageTrackerNode(double milesInit, string dateInit);

// Constructor
MileageTrackerNode(double milesInit, string dateInit, MileageTrackerNode* nextLoc);

/* Insert node after this node.
Before: this -- next
After: this -- node -- next
*/
void InsertAfter(MileageTrackerNode* nodeLoc);

// Get location pointed by nextNodeRef
MileageTrackerNode* GetNext();

void PrintNodeData();

private:
double miles; // Node data
string date; // Node data
MileageTrackerNode* nextNodeRef; // Reference to the next node
};

#endif

______________________________________________

MileageTrackerNode.cpp

#include "MileageTrackerNode.h"
#include <iostream>

// Constructor
MileageTrackerNode::MileageTrackerNode() {
miles = 0.0;
date = "";
nextNodeRef = nullptr;
}

// Destructor
MileageTrackerNode::~MileageTrackerNode() {
if(nextNodeRef != nullptr) {
delete nextNodeRef;
}
}

// Constructor
MileageTrackerNode::MileageTrackerNode(double milesInit, string dateInit) {
miles = milesInit;
date = dateInit;
nextNodeRef = nullptr;
}

// Constructor
MileageTrackerNode::MileageTrackerNode(double milesInit, string dateInit, MileageTrackerNode* nextLoc) {
miles = milesInit;
date = dateInit;
nextNodeRef = nextLoc;
}

/* Insert node after this node.
Before: this -- next
After: this -- node -- next
*/
void MileageTrackerNode::InsertAfter(MileageTrackerNode* nodeLoc) {
MileageTrackerNode* tmpNext;

tmpNext = nextNodeRef;
nextNodeRef = nodeLoc;
nodeLoc->nextNodeRef = tmpNext;
}

// Get location pointed by nextNodeRef
MileageTrackerNode* MileageTrackerNode::GetNext() {
return nextNodeRef;
}

void MileageTrackerNode::PrintNodeData(){
cout << miles << ", " << date << endl;
}

1. Determine the concentrations you would use in order to find the rate law for a given reaction.

a.   Here is one set of conditions – fill out the rest of the table with enough sets of conditions to determine the rate law for the reaction:

A + B à C + D

b.   If you determine that the reaction is first order in A and first order in B, fill out the table below with the rate you would expect for each of the conditions you described in part a. (You will have to copy the conditions from part a to the new table.)

c.   What is the rate equation for the reaction?

d.   What is the value of the rate constant?  Be sure to include appropriate units.

e.   If the reaction is zero order in A and 2^nd order in B, fill out the table with the rates you would expect.

f.    What is the rate equation for the reaction?

g.   What is the value of the rate constant?  Be sure to include appropriate units.

2.   How would you determine the initial rates of the reaction experimentally? What measurements would you record and how would you treat the data?

3.   Lets say you have a new reaction and you think that the reaction has a rate equation:  Rate = k[A]²

However, you only have one set of [A] vs time data. Describe how you would determine what the rate equation is from this one set of data.

4.   For a first order reaction, graph the concentration of reactant A ([A]) vs time. On this same graph indicate two half-life time periods. (That is show where the concentration falls by one half, for two time periods).

5.   The carbon-14 decay rate of a sample obtained from a young live tree is 0.260 disintegrations/(s·g). Another sample prepared from an archaeological excavation gives a decay rate of 0.186 disintegrations/(s·g). The half-life of carbon-14 is 5730 years. What is the age of the object?

Find the standard deviation of the following data. Round your answer to one decimal place.

Suppose X and Y are independent random variables and take values 1, 2, 3, and 4 with probabilities 0.1, 0.2, 0.3, and 0.4. Compute
(a) the probability mass function of X + Y
(b) E[X + Y ]?

Calculate the minimum prestressing force required for Beam 1 knowing that the beam has a cross sectional area of 200 × 500 mm and an allowable stress of 0.3 N/mm2 . External Load applied in Tons/m is 150

If 4.1 g of butanoic acid, C4H8O2, is dissolved in enough water to make 1.0 L of solution, what is the resulting pH?

A realtor in Arlington, Massachusetts, is analyzing the relationship between the sale price of a home (Price in $), its square footage (Sqft), the number of bedrooms (Beds), and the number of bathrooms (Baths). She collects data on 36 sales in Arlington in the first quarter of 2009 for the analysis. A portion of the data is shown in the accompanying table.

a. Estimate the model Price =  β₀ + β₁Sqft + β₂Beds + β₃Baths + ε. (Round Coefficients to 2 decimal places.)

b-1. Interpret the coefficient of sqft.

• For every additional square foot, the predicted price of a home increases by $107.67.

• For every additional square foot, the predicted price of a home increases by $107.67, holding number of bedrooms and bathrooms constant.

• For every additional square foot, the predicted price of a home increases by $107.67, holding square foot, number of bedrooms and bathrooms constant.

b-2. Interpret the coefficient of beds.

• For every additional bedroom, the predicted price of a home increases by $13,699.54.

• For every additional bedroom, the predicted price of a home increases by $13,699.54, holding square footage and number of baths constant.

• For every additional bedroom, the predicted price of a home increases by $13,699.54, holding square foot, number of bedrooms and bathrooms constant.

b-3. Interpret the coefficient of baths.

• For every additional bathroom, the predicted price of a home increases by $82,074.78.

• For every additional bathroom, the predicted price of a home increases by $82,074.78, holding square footage and number of bedrooms constant.

• For every additional bathroom, the predicted price of a home increases by $82,074.78, holding square foot, number of bedrooms and bathrooms constant.

c. Predict the price of a 2,078 square-foot home with two bedrooms and one bathrooms. (Round coefficient estimates to at least 4 decimal places and final answer to the nearest whole number.)

price= $