A safety light is designed so that the times between flashes are normally distributed with a mean of 5.00s and a standard deviation of 0.40s

a. Find the probability that an individual time is greater than 5.50s

b. Find the probability that the mean for 60 randomly selected times is greater than 5.50s

c. Given that the light is intended to help people see an​ obstruction, which result is more relevant for assessing the safety of the​ light?

At a certain university, 50% of all entering freshmen planned to major in a STEM (science, technology, engineering, mathematics) discipline. A sample of 36 freshmen is selected. What is the probability that the proportion of freshmen in the sample is between 0.482 and 0.580? Write the answer as a number to the 4th decimal (0.1234).

The intended steps are as follows:

Step 1: Check to see that the conditions np ≥ 10 and n(1− p) ≥ 10 are
both met. If so, it is appropriate to use the normal curve.
Step 2: Find the mean U_p and standard deviation a_p.
Step 3: Sketch a normal curve and shade in the area to be found.
Step 4: Find the area using the TI-84 PLUS.

1. A 2 kb fragment of DNA was cut by EcoRI and BamHI and then analyzed by gel electrophoresis. The following fragment sizes were produced:

EcoRI: 900, 700, 400

BamHI: 1100, 900

In order to map the location of each restriction site, each fragment was then digested with the other two restriction enzymes. The following was obtained:

Based on the fragment size analysis performed above, construct the map of restriction sites for this 2 kb fragment of DNA.

2.     Most restriction enzymes (RE’s) were isolated from bacteria. Since these bacteria require an intact (i.e. undigested) genome in order to survive, what mechanism protects the genomic DNA of bacteria from digestion by their own restriction enzymes?

3. Today we examined the pattern of genomic DNA when it is cut by a restriction enzyme. One of the enzymes, EcoRI, recognizes a specific 6 bp sequence. How often would you expect this enzyme to cut a long stretch of DNA? About how many fragments does an EcoRI digest produce on the calf genome (Bos taurus, 3 x 10⁹ basepairs in length)? Show all work.

4.   There are two principles underlying gel electrophoresis: charge, and the use of a gel matrix. Explain why both of these are necessary to separate DNA by size. Why is charge alone insufficient? Why is a gel matrix without charge insufficient?

5.     Agarose gel electrophoresis can size fractionate DNA fragments. If a 1000 bp linear DNA fragment and plasmid DNA 1000 bp in length are both run on the same gel, will they appear as the same size? Why or why not?

6.    Today we amplified 50 ng of Bos taurus (calf) DNA by PCR. This amount of DNA contains about 15,000 molecules of the insulin gene [50 ng DNA= 2.5 x 10^-20 mol; (2.5x10^-20 )x(6.023×10²³) = 1.5 x 10⁴ molecules]. We performed PCR for 35 cycles to amplify the amount of this gene.

      a. What is the theoretical fold amount of DNA amplified by 35 cycles of PCR (remember the 2^N formula)?

      b. How many molecules of the insulin gene would therefore be present after PCR?

7.   In theory, PCR exponentially amplifies a DNA fragment for x number of cycles. However, the concentration of PCR products will usually never reach the theoretical amount of amplification. Why do you think this is the case?

6) An airplane is flying over the countryside with a velocity of 85.0 m/s at an angle of 19.5o with respect to the horizontal. The airplane releases a crate of supplies when it is 85 m directly above a person standing on the ground. How far from the person will the crate land?

7) A motorcycle stunt rider rides horizontally off the edge of a vertical cliff of height 8.5 m and lands safely 12.3 m from the base of the cliff.
a) With what velocity did the motorcycle leave the cliff?
b) What was the direction of the motorcycle

Construct a permutation of the ten distinct elements (i.e. the digits 0,1,2,3,4,5,6,7,8,9) that is as bad as possible for quicksort using median-of-three partitioning. Please write out what the permutation is and describe how you found what it is.

How many iterations of the for loop does this program perform?

int main(void) {
int a[] = {1, 2, 3, 4};
int i;
for (i = 0; i < 4; i++) {
    if (a[i] < 0) return 1;
    else return 0;
}
return 0;
}

Question 1 options:

Question 2

What does the following program do?

int main(void) {
  int i, a[];
  a[0]=1;
  for (i=0; i<10; i++) {
    a[i] = a[i-1] + 2*i + 1;
  }
  return 0;
}

Question 2 options:

Question 3

What's the problem with this code?

int main(void) {
  int i, a[5];
  for (i=1; i <= 5; i++) {
    a[i] = i+1;
  }
  return 0;
}

Question 3 options:

Question 4

If a is declared with

  int a[10];

what value does sizeof(a) have?

Question 4 options:

Question 5

What does the following program do?

#include 
int main(void) {
  int a[] = {1,2,3,4};
  int b[4];  b = a;
  printf("%4d\n", b);
  return 0;
}

Question 5 options:

question 6

Arrays are just pointers in disguise.

Question 6 options:

Question 7

Declaring too large an array in a function may cause a stack overflow when the function is called.

Question 7 options:

Question 8

What does the following program do?

int main(void) {
  int a[4];
  a = {1,2,3,4};
  return a[3];
}

Question 8 options:

Question 9

What does the following program do?

#include 

int main(void) {
  int i = 2;
  int a[] = {0,1,2,3,4};
  int n = sizeof(a) / sizeof(a[0]);
  for (i = 0; i < n; i++) {
    (*(a+i))++;
    printf(" %d", a[i]);
  }
  printf("\n");
  return 0;
}

Question 9 options:

Question 10

What does the following program do?

#include 

int main(void) {
  int * p;
  int a[] = {0,1,2,3,4};
  int n = sizeof(a) / sizeof(a[0]);
  for (p = a; p != a+n; p++) {
    printf(" %d", *p);
  }
  printf("\n");
  return 0;
}

Question 10 options:

​Knott's Industries manufactures standard and super premium backyard swing sets. Currently it has four identical​ swing-set-making machines, which are operated 250250 days per year and 8 hours each day. A capacity cushion of 1515 percent is desired. The following information is also​ known:

Standard Model Super Premium Model

Annual Demand: 20,000 10,000

Standard Processing Time: 5 min 17 min

Average Lot Size: 60 25

Standard Setup Time per Lot: 30 min 45 min

a. Does​ Knott's have sufficient capacity to meet annual​ demand?

b. How many machines are needed?

C language <stdio.h> (functions)

Write a program to display a table of Fahrenheit temperatures and their equivalent Celsius temperatures. Create a function to do the conversion from Fahrenheit to Celsius. Invoke the function from within a for loop in main() to display the table. Ask the user for a starting temperature and and ending temperature. Validate that the starting temperature is within the range of -100 to 300 degrees, Validate that the ending temperature is in the range of -100 to 300 degrees, and is also greater than the starting temperature. Use a decision inside the ending temperature validation loop to display either the "out-of-range" message or the "greater than starting temperature" message.

The formula for converting a Fahrenheit temperature to Celsius is:
C = (5 / 9) * (F - 32)
Use this exact formula - do not pre-calculate 5/9 as .56 (you will have to type cast one of the numbers to a double for the equation to work correctly).

Format the Celsius temperatures to 1 decimal place.

Example Run #1:
(bold type is what is entered by the user)

Enter a starting Fahrenheit temperature: -200
The starting temperature must be between -100 and 300 degrees.
Please re-enter the starting temperature: 0
Enter an ending Fahrenheit temperature: 500
The ending temperature must be between -100 and 300 degrees.
Please re-enter the ending temperature: -20
The ending temperature, -20, must be greater than the starting temperature.
Please re-enter the ending temperature: 20

Fahrenheit Celsius
0 xx.x
1 xx.x
2 xx.x
3 xx.x
4 xx.x
5 xx.x
6 xx.x
7 xx.x
8 xx.x
9 xx.x
10 xx.x
11 xx.x
12 xx.x
13 xx.x
14 xx.x
15 xx.x
16 xx.x
17 xx.x
18 xx.x
19 xx.x
20 xx.x

The example run shows EXACTLY how your program input and output will look.

What is the pH of a 2.75 x 10^-3 M solution of potassium fluoride, KF, in water? The K_a for hydrofluoric acid is 3.55 x 10^-5.

please show steps!!

the answer is 7.94

Create a command based menu using functions.

The structure should be as followed:

• Under the main menu
  • Submenu1
  • Submenu2
  • Exit
• SubMenu1
  • Choice1
  • Choice2
  • Back to main menu
• Submenu2
  • Choice1
  • Choice2
  • Back to main menu

• When I am in the submenus I want to know when I press a an option.
  • Example:
    • You have chosen choice 2 in submenu1
    • You have chosen choice 1 in submenu2
• If an option is chosen that is incorrect I want the output to say so
  • Example:
  • "Error: you didn't choose a valid option"
• It needs to be saved as a .PS1 file and submitted

What is the cobalt (II) ion concentration in a solution prepared by mixing 431 mL of 0.444 M cobalt (II) nitrate with 419 mL of 0.276 M sodium hydroxide? The Ksp of cobalt (II) hydroxide is 1.3 × 10-15

the national collegiate athletic association requires colleges to report the graduation rates of their athletes. at one large university, 78% of all students who entered in 2004 graduated in six years. one hundred thirty seven of the 190 students who entered with athletic scholarship graduated . consider these 190 as a sample of all athletes who will be admitted under present policies. is there evidence at the 5% level that the the percentage of athletes who graduate is less than 78%?

1. List the conditions for the test you plan to use, explain how these conditions are met, calculate and write down the test statistic, and find the P-value.

2. based on your P-value, conclude in context

Answer all of these following questions below with a total response that should be 300-500 words.

The following questions should be answered about the : Amygdala

1. Where is the area or structure located?
2. What are its major functions?
3. What techniques are used to view or measure it?
4. What happens when it is damaged?
5. What other structures is it near?
6. What other structures help or perform similar functions?