25x+20y=455
x+y=20
20x+20y=400
-25x-20y=-455
-5x=-55
x=11
11+y=20
y=9
Solved it as well, sorry if I wasn't supposed to
Answer:
x²+ x = 0
x ( x +1 ) = 0
x = -1
x³-25x=0
x ( x² - 25 ) = 0
x² = 25
x = 5
x²=4x
x² - 4x = 0
x ( x- 4 ) = 0
x = 4
4x²-4x=1
4x²-4x - 1 = 0
4 x² - 2x - 2x - 1 = 0
2x ( 2x - 1 ) - 1 ( 2x- 1 ) = 0
2x- 1 ) ² = 0
2x = 1
x = 1/ 2
mark me as brainliest
Answer:
w
Step-by-step explanation:
a
The ratio of the number of cups of apple juice to lemon-lime soda is 6:1.
If there is a point on the graph at (1, 6), where the x-coordinate the number of cups of lemon-lime soda and y-coordinate is the number of cups of apple juice, you can deduce the ratio (6 cups of apple juice for 1 cup of lemon-lime soda).
As you imagine on the graph, this pattern continues, with 2 cups of lemon-lime soda for 12 cups of apple juice, that simplifies to 1 cup of lemon-lime soda for 6 cups of apple juice. Since the question asks for the ratio of apple juice to lemon-lime soda, you just reverse the values and get 6:1
Answer:
a)= 2
b) 6.324
c) P= 0.1217
Step-by-step explanation:
a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)
b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by
σ_X`1- X`2 = √σ²/n1 +σ²/n2
Var ( X`1- X`2) = Var X`1 + Var X`2 = σ²/n1 +σ²/n2
so
σ_X`1- X`2 =√20 +20 = 6.324
if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.
Where as Z is normally distributed with mean zero and unit variance.
If we take X`1- X`2= 0 and u1-u2= 2 and standard deviation of the sampling distribution = 6.324 then
Z= 0-2/ 6.342= -0.31625
P(-0.31625<z<0)= 0.1217
The probability would be 0.1217
