Math workshops and final exams: The college tutoring center staff are considering whether the center should increase the number of math workshops they offer to help students improve their performance in math classes. Faculty would like to know if requiring student attendance at these math workshops will improve overall passing rates for their students in their math classes. They plan to use the number of workshops attended to predict the final exam score and regression analysis to determine the effectiveness of the mandatory workshop attendance policy. Which is the response variable?1. Whether the student attended a workshop.
a. yes.
b. no.
2. Number of workshops attended.
3. Whether the student passes the course.
a. yes.
b. no.
4. Final exam score Correlation.

Answers

Answer 1
Answer:

Answer:

2. Number of workshops attended.

Step-by-step explanation:

The variable of interest for predicting the final exam score and doing regression analysis is workshop attendance.  Therefore, the response variable should be the number of workshops attended by each student.

This also agrees with what the college tutoring center staff are considering, which forms the research question: "should the center increase the number of math workshops they offer to help students improve their performance in math classes?"


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In how many ways can 4 light bulbs be selected from a batch of 43 lights bulbs to be tested for defects? Assume no light bulb will be tested more than once.

Answers

Answer:

There are 123,410 ways

Step-by-step explanation:

The number of ways or combinations in which we can select k elements from a group of n elements is given by:

(n!)/(k!(n-k)!)

In this case, we can replace n by 43 and k by 4, because we are going to select 4 light bulbs from a batch of 43 light bulbs.

So, the number of combinations is calculated as:

(43!)/(4!(43-4)!)=123,140

It means that there 123,410 ways to select 4 light bulbs from a batch of 43 lights bulbs to be tested for defects

What is the slope of the line 9 x - 3 y equals 10​

Answers

Answer: M = 3

Step-by-step explanation: you have to use the slope intercept form y = mx+b to find the actual slope

4. Quadrilateral ROPQ is inscribed in a circle. Show all work on no credit. Find x and y. What is the measure of each angle of quadrilateral EFGH? What is the measure of arc HF?

Answers

Answer:

  • x = 55, y = 60
  • E = 70°, F = 120°, G = 110°, H = 60°
  • arcHF = 140°

Step-by-step explanation:

a) The sum of opposite angles of an inscribed quadrilateral is 180°. This lets us use angles E and G to solve for x:

  (x+15) + (2x) = 180

  3x + 15 = 180 . . .simplify

  x +5 = 60 . . . . . divide by 3

  x = 55 . . . . . . . . subtract 5

Similarly, we can use angles F and H to solve for y:

  (3y -60) + (y) = 180

  4y -60 = 180 . . . . simplify

  y -15 = 45 . . . . . . divide by 4

  y = 60 . . . . . . . . . add 15

___

b) Then the measures of the angles are ...

  G = 2x = 2·55 = 110

  E = 180 -G = 70

  H = y = 60

  F = 180 -H = 120

The angle measures are ...

  m∠E = 70°, m∠F = 120°, m∠G = 110°, m∠H = 60°

___

c) short arc HF is intercepted by inscribed angle E, so the arc will have twice the measure of the angle.

  arc HF = 2·m∠E = 140°

_____

Comment on the problem

Throughout, the only relation being used is that the measure of an arc is twice the measure of the inscribed angle intercepting it. For opposite angles of the quadrilateral, the sum of the two intercepted arcs is 360° (the whole circle), so the sum of the two angles is 180°.

Xpress 8.54545454545... as a rational number, in the form pq where p and q are positive integers with no common factors.

Answers

To express the repeating decimal 8.54545454545... as a rational number, we can use the concept of infinite geometric series. The rational number equivalent is 282/33.

To express the repeating decimal 8.54545454545… as a rational number, we can use the concept of infinite geometric series. Let x = 8.54545454545…, then multiplying x by 100 gives 100x = 854.54545454545…. Next, subtracting the original x equation from the 100x equation eliminates the repeating decimals, giving 99x = 846. Dividing both sides by 99 results in x = 846/99. Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3, gives the final answer: x = 282/33.

Learn more about Rational Numbers here:

brainly.com/question/24398433

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If you mean p/q, then this is how you do it:

x = (846)/(99) = (94)/(11)

Therefore your final answer is 94/11, where p is 94 and q is 11.

If the mean of 5 positive integers is 15, what is the maximum possible difference between the largest and the smallest of these 5 numbers?

Answers

Answer:

64

Step-by-step explanation:

If the mean is 15, the sum of 5 numbers is:

  • 5*15 = 75

Minimum value for the first four numbers would be:

  • 1, 2, 3, 4

Then the fifth number is:

  • 75 - (1+2+3+4) = 75 - 10 = 65

So the maximum difference is:

  • 65 - 1 = 64

Find the distance between two points A (-2,-3) B (6,8)

Answers

Answer:

√185 units.

Step-by-step explanation:

To find the distance between two points, A (-2, -3) and B (6, 8), you can use the distance formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

In this formula:

(x₁, y₁) represents the coordinates of point A (-2, -3).

(x₂, y₂) represents the coordinates of point B (6, 8).

Now, plug the values into the formula:

Distance = √[(6 - (-2))² + (8 - (-3))²]

Distance = √[(6 + 2)² + (8 + 3)²]

Distance = √[(8)² + (11)²]

Distance = √[64 + 121]

Distance = √185

So, the distance between points A (-2, -3) and B (6, 8) is √185 units.