Noel is waiting for his turn to order in a restaurant. He noticed that the number of waiting time forms an arithmetic sequence. Which of the following is a possible waiting time?

 Show that  x + 2 is a factor of polynomial equation x³   -  6 x²  - x  + 30 = 0 by arranging the following steps.

    i.  Find the value of x in x + 2= 0.

   ii.  Evaluate the polynomial equation.

  iii.  Substitute the value of x in the polynomial equation.

   iv.  Use the factor theorem to conclude if it is a factor or not.

Find the first of the four rational numbers such that the product of the first, third and fourth numbers is 54. Also, the second number is 2 less than the first number, the third number is five less than the second, and the fourth is 3 less than the third.

Which of the following is a polynomial function?

What is the center and radius of a circle whose equation is given by ( x - 2 )² + ( y + 5) ²  = 13 ?   

 If the distance between the points ( 1, b ) and  ( 5, -2) is 5, find the values of b .

Casey has a circular garden that she separates into three equal parts. If the diameter of the garden is 18m, write an equation to find the length of the arc.

How will you define a combination?

Which situation illustrates permutation ?

Which of the following does not  illustrate a permutation?

Which of the events is an example of intersection of events?

In the formula for finding the probability of a union of two events: P( A U B) =P(A) + P(B) – P(A ∩ B), Why is P(A ∩ B) subtracted from P(A) + P(B) ?

John is rolling a fair die, what is the probability of getting a 5 or a 3?

In how many ways can a family of 6 be arranged in a row for a picture taking?

There are 3 steps in getting a vaccination for COVID-19 namely, registration, vaccination, and observation. This statement is an example of                           .

Which the following shows ?

Hezekiah has 3 different Math books, 4 different Science books and 2 different English books. In how many ways can he arrange these books on a shelf if books on the same subject are together?

There are 3 available sinkers, booba pearls, grass jelly, and nata de coco and a customer is allowed to choose. Does this situation illustrate a combination?

At which section of the research proposal is the sampling method or technique of the study are being described in detail?

Which of the following statistical measures is the most appropriate to measure the cut off score for the top 80% of the class?

Which of the following is true about the different measures of position?

What percent of the students who took the geometry exam have lower scores than Carlo if his score in the exam is at the 95^th percentile rank?

Carlos’ score is the eighth decile, how many students does he surpass?

Which of the following statistical measures is the most appropriate to measure the cut off score for the top 80% of the class?

Summarize how to find the differentmeasures of position by arranging the steps on how to compute the differentmeasures of position of an ungrouped data.

  i.    Round off if needed.

 ii.    Locate the position by using the formula forungrouped data.

iii.   Using the computed position, count the exactposition starting from the

         lowest score.

 iv.   Arrange the data in ascending order.