Answer:
(a) 4i iterations
(b) "i × n" iterations
Step-by-step explanation:
(a) The provided algorithm segment shows:
for i:= 1 to 4, (Outer loop)
for j:= 1 to i (Inner loop)
next j,
next i
The inner loop executes i times while the outer loop completes 4 cycles.
The inner loop’s total execution when the full algorithm runs is:
= i × 4
= 4i iterations
(b) In the given algorithm segment;
for i:= 1 to n, (Outer loop)
for j:= 1 to i (Inner loop)
next j,
next i
where n denotes a set of positive integers.
<pthe inner="" loop="" also="" runs="" for="" times="" and="" the="" outer="" times.=""><pthus the="" total="" iterations="" of="" inner="" loop="" for="" entire="" algorithm="" is:="">
= i × n
= "i × n" iterations
</pthus></pthe>
8.25 inches after multiplying the 3/4 by 2, and adding that to the previous 3/4, gives you the final height of the plant.
Answer:
The appropriate answer is 72 + 4 × x
400.
Step-by-step explanation:
Pine Bluff Middle School's dance committee raises $72 from a bake sale and anticipates $4 for each ticket sold for the Spring Fling dance.
The cost of the dance will be $400.
Let x represent the number of tickets the committee could sell.
The total income amounts to 72 + 4 × x.
After paying for the dance, which costs $400, the committee should have some funds remaining.
This leads to the inequality used to ascertain the number of tickets the committee can sell while ensuring they have money left after the dance expense, formulated as:
72 + 4 × x
400.
The likelihood stands at 6 out of 120, or 1/20, equivalent to a 5% probability. You can calculate this by defining the total number of outcomes. When organizing items within a set, the factorial function on your calculator, denoted by "!", is a straightforward way to arrive at a solution. This function indicates the product of all integers less than that number down to 1 multiplied together. Therefore, since there are 5 letters in the word poker, we utilize 5! which can be expanded to 1*2*3*4*5 = 120. Next, we must identify how many combinations begin with k and conclude with p. There are precisely 6 such configurations: koerp, korep, kreop, kroep, kerop, and keorp. Finally, we divide the number of favorable outcomes by the total possibilities.