Researchers suspect that the average number of units earned per semester by college students is rising. A researcher at Calendula College wishes to estimate the number of units earned by students during the spring semester at Calendula. To do so, he randomly selects 100 student transcripts and records the number of units each student earned in the spring term. He found that the average number of semester units completed was 12.96 units per student. Identify the population of interest to the researcher.

Answers

Answer 1

Answer:

Answer:

All Calendula College students enrolled in the spring.

Step-by-step explanation:

A researcher at Calendula College wishes to estimate the number of units earned by students during the spring semester at Calendula.

To do so, he randomly selects 100 student transcripts from among all Calendula College students enrolled in the spring and records the number of units each student earned in the spring term.

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If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions for t 0. Do the particles collide? If they collide find t. If not enter NONE.r1(t)=r2(t)=<9t-14,t^2,13t-42>t=

Answers

Answer:

The particles collide when t = 7 at the point (49, 49, 49).

Step-by-step explanation:

We know the trajectories of the two particles,

$r_1(t)=\langle t^2,16t-63,t^2\rangle\nr_2(t)=\langle 9t-14,t^2,13t-42\rangle$

To find if the tow particles collide you must:

Equate the x-components for each particle and solve for t

$t^2=9t-14\nt^2-9t+14=0\n\left(t^2-2t\right)+\left(-7t+14\right)=0\nt\left(t-2\right)-7\left(t-2\right)=0\n\left(t-2\right)\left(t-7\right)=0$

The solutions to the quadratic equation are:

$t=2,\:t=7$

Equate the y-components for each particle and solve for t

$16t-63=t^2\n^2-16t+63=0\n\left(t^2-7t\right)+\left(-9t+63\right)=0\nt\left(t-7\right)-9\left(t-7\right)=0\n\left(t-7\right)\left(t-9\right)=0$

The solutions to the quadratic equation are:

$t=7,\:t=9$

Equate the z-components for each particle and solve for t

$t^2=13t-42\nt^2-13t+42=0\n\left(t^2-6t\right)+\left(-7t+42\right)=0\nt\left(t-6\right)-7\left(t-6\right)=0\n\left(t-6\right)\left(t-7\right)=0$

The solutions to the quadratic equation are:

$t=6,\:t=7$

Evaluate the position vectors at the common time. The common solution is when t = 7.

$r_1(7)=\langle 7^2,16(7)-63,7^2\rangle=\langle 49,49,49\rangle\n\nr_2(7)=\langle 9(7)-14,7^2,13(7)-42\rangle=\langle 49,49,49\rangle$

For two particles to collide, they must be at exactly the same coordinates at exactly the same time.

The particles collide when t = 7 at the point (49, 49, 49).

The sum of three consecutive numbers is 45. What is the
largest of these numbers?

Answers

Answer:

14,15,16

Step-by-step explanation:

a+a+1 +a+2=45

3a+3 =45

3a=45-3

3a=42

a=42:3 =14(the first number

14+1=15 (the second number

14+2=16 (the third number, the largest number

A bag of candy contains 300 pieces of which 28% are red. How many are not red?

Answers

216
...................................

216 is your answer
hope this helps :)

It is known that the variance of a population equals 1,936. A random sample of 121 has been taken from the population. There is a .95 probability that the sample mean will provide a margin of error of a. 7.84 b. 31.36 c. 344.96 d. 1,936

Answers

There is a 0.95 probability that the sample mean will provide a margin of error of 7.84.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

The variance of a population = 1,936

And, A random sample of 121 has been taken from the population.

Now,

Since, Standard deviation = √ Variance

= √1,936

= 44

Hence, The standard error = 44 / √121

= 44 /11

= 4

We know that;

The critical z factor for a confident interval of 0.95 = ± 1.96

Thus, The sample mean will provide a margin of error = 4 × 1.96

= 7.84

Learn more about the probability visit:

brainly.com/question/13604758

#SPJ5

Answer:

It is known that the variance of a popualtion equals 1,936.

Step-by-step explanation:

That should be correct!!!

Whats a number that will give you
2√2

Answers

Another way to write 2√2 is √8.

Drag each figure to show if it is similar to the figure shown or why it is not similar

Answers

Answer:

In the given shapes above, we can see that all shapes have four sides.

Above geometrical shapes could be named as Rectangles, parallelogram or quadrilateral.

First two shapes are Rectangles.

Third is a parallelogram.

Fourth and fifth shapes are Rectangles again.

Also we can say all those shapes with four side as quadrilaterals. (Note: A quadrilateral has four sides.)

Below shown shape has only three sides in it.

It is called a triangle when a shape has three sided close figure.

So, we could drag : Not similar - Different Type of shape.

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