Answer: A) 20.9 ; B) 34years
Step-by-step explanation:
Given the following :
AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23
FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1
A)
MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY
F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]
= 38 + 60 +21 + 88 + 23 = 230
SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11
MEAN(X) = 230 / 11
X = 20.9
B)
WHEN A NEW PLAYER WAS ADDED :
MEAN (X) = 22
Let age of new player = y
Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y
Number of players = 11 + 1 = 12
Mean(x) = sum of ages / number of players
New mean (x) = 22
x = (230 + y) / 12
22 = (230 + y) / 12
Cross multiply
264 = 230 + y
y = 264 - 230
y = 34 years
Answer:
25
Step-by-step explanation:
All rhombuses have all 4 sides equal, so then AD = AB = 25.
8 out of 27 or in other words 8/27
Explanation:
Since 15 play the flute and 2 play the piano, there is a possibility that one of the students out of the 8 plays both intruments.
The answer is 26 I just converted everything to decimals because its easier for my brain to function
24.33-3.66= 20.66
20.66+5.25= 25.99
witch would round to 26
The equation for the line in slope-intercept form that is Perpendicular to the line y = -x +4; containing the point (1, -2) is y = x - 3
<h3 /><h3>The slope intercept equation;</h3>
The slope intercept equation can be represented as follows:
where
m = slope
b = y-intercept
The equation of the line is perpendicular to the line y = -x + 4.
For equations of a line to be perpendicular to each other, the product of their slope is equals to -1.
Therefore,
m₁m₂ = -1 (perpendicular)
-m₂ = -1
m₂ = 1
This means the equation we are looking for has a slope of 1.
Therefore,
y = x + b
let's find b using (1, -2)
-2 = 1 + b
b = -2 - 1
b = -3
The equation is as follows:
learn more on slope intercept form equation: brainly.com/question/13217079?referrer=searchResults
