Answer:
41
Step-by-step explanation:
5 integers with an average of 44
⇒ sum of the integers = 5 x 44 = 220
The median is the middle number when the numbers are put in order of smallest to largest. So the integers are: x x 50 x x
The modal integer is the one that occurs most frequently, so if the mode is 52, then at least 2 of the integer are 52. Since the median is 50, the integers are: x x 50 52 52
Therefore, the remaining two integers are less than 50.
The range is the difference between the largest integer and the smallest integer. As we know that the largest integer is 52 and the range is 27, then the smallest integer is 52 - 27 = 25
25 x 50 52 52
To find the last unknown integer :
⇒ sum of the integers = 25 + 50 + 52 + 52 + x = 220
⇒ x = 41
Therefore, the integers are:
25, 41, 50, 52, 52
Answer:
13 1 line
14 2/3 1/2
19 top 123 bottom 4
Step-by-step explanation:
It's a reflection over the y axis because 'a' represents 'x' and if 'a' is negative it flips to the other side leave 'b/y' to remain the same
The triangles are congruent. So.
Triangle ABC is 24 inch^2 and BC is 4 inches.
The area of a triangle is 0.5 x base x height. The will be 12 because 12 x 4 x 0.5 which equals 24.
Triangle DEF is half the size of ABC because bc is 4 and EF is 2 showing it’s half. This then means the height will be half which then mean it will be 6.
This then means we can use the equation to work it out. So. 6 x 0.5 x 2 = 6in^2
The answer is 6inches^2
