The required linear equation representing the distribution is
p(x) = -0.1x + 0.5
From the table given, we can generate the equation for the distribution.
Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)
The linear expression will be in the form p(x) = mx + b
Gete the rate of change:
m = 0.3-0.4/2-1
m = -0.1/1
m = -0.1
Get the intercept.
0.4 = -0.1(1) + b
0.4 = -0.1 + b
b = 0.4 + 0.1
b = 0.5
Hence the required linear equation representing the distribution is
p(x) = -0.1x + 0.5
Learn more on linear equation here: brainly.com/question/18176080
Answer:
1. a. 544%
b. 84%
2. 175
3. $867.18
Step-by-step explanation:
1. a.2.32-0.36=1.96
1.96/0.36=5.44
5.44*100=544
b. 1.96/2.32=0.84
0.84*100=84
2. let x = # of 7th graders
let y = # of 8th graders
y is 125% of x
y=1.25x
x=140
y=1.25*140
y=175
3. A=P(1+r)^t
A=700(1+0.055)^4
A=867.18
Answer:
The correct answer is:
x ≤ 14 (b)
Step-by-step explanation:
first of all, let us find the other side of the rectangle using the limit of 46 as the highest perimeter:
Perimeter of a rectangle = 2(Length) + 2(width)
Let the length = x inches
let the width = 9 inches
Perimeter = 2x + 2(9)
46 = 2x + 18
2x = 46 - 18
2x = 28
x = 28 ÷ 2
x = 14
Therefore, for the perimeter to be equal to 46 inches, the other side of the rectangle must be equal to 14 inches. Hence, for the perimeter to be at most 46 inches ( 46 inches or less):
x is less than or equal to 14 (x ≤ 14)
Answer:
let n be the number then the sum of this number and 7 is n +7 and 3 times this sum is 3(n +7) 5 times the number less thirteen is 5n − 13
Step-by-step explanation:
