Answer:
The answer is explained below
Step-by-step explanation:
The question is not complete we need point P and point Q.
let us assume P is at (3,1) and Q is at (-2,4)
To find the coordinate of the point that divides a line segment PQ with point P at and point Q at
in the proportion a:b, we use the formula:
line segment PQ is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:
*See attached picture for the diagrams being referred to
Answer:
C. ⁵/12= ²/x
Step-by-step Explanation:
Given that rectangle EFGH is similar to rectangle JKLM, it means the corresponding sides of both rectangles are similar, and as such the ratios if the corresponding sides of rectangle EFGH and rectangle JKLM would be equal.
Thus, EF/JK = FG/KL
Since, EF = 5; JK = 12; FG = 2; and KL= x, therefore, the proportion to use in finding x would be:
⁵/12= ²/x
Answer:
(4, 1)
Step-by-step explanation:
See attachment courtesy of Desmos.
Answer:
The probability the he or she will answer correctly is 1.5%
Step-by-step explanation:
In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.
There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.
A combination of n elements from a set of m objects has the following formula:
In this question, m = 18, n = 9. So the total number of possibilities is:
Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).
Now, m = 13, n = 9. The number of desired possibilities is:
The probability is the number of desired possibilities divided by the number of total possibilities. So
The probability the he or she will answer correctly is 1.5%