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Suppose the length of a spring varies with respect to a weight attached to it. If the length of a spring is 6 cm when a weight of 1 kg is attached and 9 cm when a weight of 3 kg is attached, then which of the following statements is true?


An online shopping platform has given two types of saving to its members who have completed 2 doses of vaccination for Covid-19 when they purchase the products online, which are either discount of 15% or cashback of 15%. For the selection of saving for their purchase, a member can only choose either discount or cashback but not both of them. The saving entitlement is shown in Table 2. By using an appropriate logical operator to combine the choices made for the types of saving, the entitlement of the saving is shown in Table 1. By using the Raptor, produce a flow chart that performs the following procedures:

The following are numbers obtained from the population samples: 2, 4, 7, 12, 15. Find the standard deviation of the sample.

5. If one card is drawn from a deck, find the probability of getting these results.

a. A queen.

b. A club.

c. A queen of clubs.

d. A 3 or an 8.

e. A 6 or a spade.

f. A 6 and a spade.

g. A black king

h. A red card and a 7.

а

i. A diamond or a heart.

j. A black card.



A bus can accommodate a maximum of 60 passengers. If X denotes the number of male

passengers, what are the possible values of X?


A cinema can accommodate 200 customers. Let Z denote the number of customers in

the cinema. What are the possible values of Z?


A researcher is conducting a survey about the cellphones used by 50 employees. If X

represents the number of users of Brand X, what are the possible values of X?


5 A Ferris Wheel in Las Vegas, Nevada, opened in March 2014. The 550




ft tall wheel has a diameter of 5290 ft A ride on its one of its 28 passenger cars last 30 minutes the time it takes the wheel to complete one full rotation Riders board the passenger cars at the bottom of the wheel Assume that once the wheel is in motion it maintains a constant speed for the 30-minutes ride and is rotating in a counter clockwise direction. If you were on this ride how high would you be above the ground after 20 minutes?

7. Mary deposits ₱6,000 into an account earning 4% annually. After 8 years what will Mary's balance have grown to, including interest?


6. Bob deposited ₱25,000 in a new savings account at 6% interest compounded semiannually.


At the beginning of year 3, Bob deposits an additional ₱35,000 at 8% interest compounded semiannually. At the end of 4 years, what is the balance in Bob's account?




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