Consider the system of equations.
2 answers:
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Answer:
The probability a random selected radish bunch weighs between 5 and 6.5 ounces is 0.8185
Step-by-step explanation:
The weight of the radish bunches is normally distributed with a mean of 6 ounces and a standard deviation of 0.5 ounces
Mean =
Standard deviation =
We are supposed to find the probability a random selected radish bunch weighs between 5 and 6.5 ounces i.e.P(5<x<6.5)
At x = 5
Z=-2
At x = 6.5
Z=1
Refer the z table for p value
P(5<x<6.5)=P(x<6.5)-P(x<5)=P(Z<1)-P(Z<-2)=0.8413-0.0228=0.8185
Hence the probability a random selected radish bunch weighs between 5 and 6.5 ounces is 0.8185
First, set the second equation with y as the isolated variable. To do this, subtract 4 from both sides to get
Now that you know the value of y, put that expression in for y in the first equation to get
Then, simplify by adding the x terms together to get
add 4 on both sides to isolate the x terms to get
then divide 6 from both sides to get
Using that x value, plug it into one of the equations as x to find y ( I will use y=3x-4)
x=1 and y=-1 is the answer
Now that you know the value of y, put that expression in for y in the first equation to get
Then, simplify by adding the x terms together to get
add 4 on both sides to isolate the x terms to get
then divide 6 from both sides to get
Using that x value, plug it into one of the equations as x to find y ( I will use y=3x-4)
x=1 and y=-1 is the answer