Would someone please be able to answer this for me?
1 answer:
//Question number 1//
When graphing an inequality there are certain things to keep in mind that make it different from an equation of a line.
Here are some of them:
*You must look out to see whether it will be dashed or solid
*You must know which side of the graph to shade it in
*If they are not in standard form, you have to change them into standard form (THIS ONE MIGHT ACTUALLY APPLY TO A REGULAR EQUATION)
----Basically, the main difference is that in a "normal equation" you have an equal sign while in an inequality you have inequality signs (≤, ≥, <, >)----
//Question Number 2//
------ When using ≤ or ≥ (where they have half the equal sign at the bottom) the line for the inequality would be solid
------ When using < or > (where there is no equal sign- just the inequality sign) the line for the inequality would be dashed
------------------BY THE WAY, I INCLUDED AN ILLUSTRATIO OF AN INEQUALITY GRAPH TO GO ALONG WITH THE 3RD QUESTION----------------
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Answer:
(a)
(b)
(i)probability that the product of the two numbers is a prime number=7/64
(ii)probability that the product of the two numbers is not a perfect square=56/64
(iii)probability that the product of the two numbers is a multiple of 5 =15/64
(iv)probability that the product of the two numbers is Less than or equal to 21 =40/64
(v) probability that the product of the two numbers is divisible by 4 or 6 =42/64
Step-by-step explanation:
(a) 8-sided fair die implies each die can have outcomes 1,2,3,4,5.6,7,8 with equal chances.
To draw the possibility diagram of the product of the two numbers appearing on the die in each throw, we put the outcomes of both dies side by side and find the product of possible outcomes.
(b) probability= Number of outcome / Total number of outcomes
(i)probability that the product of the two numbers is a prime number=8/64=1/8
based on sample space, the prime numbers are 2,2,3,3,5,5,7,7
(ii)probability that the product of the two numbers is not a perfect square=56/64=7/8
based on sample space, only 1,4,9,16,25,36,49,64 are perfect square
(iii)probability that the product of the two numbers is a multiple of 5 =15/64
(iv)probability that the product of the two numbers is Less than or equal to 21 =40/64=5/8
(v) probability that the product of the two numbers is divisible by 4 or 6 =42/64=21/32
We add them up to find the total distance :
