Add and subtract the second term to the expression and factor by grouping.
5
(
p
+
4
q
)
(
2
p
−
9
q
)
Answer:
x = -2, y = 3
Step-by-step explanation:
2x + 3y = 5
5x - 2y = -16
In order to find the value of a variable, we must eliminate the other variable by multiplying the equations to get the same coefficient.
We can multiply the first equation by 5 and the second one by 2 to get the same coefficient for x, the equations then become:
10x + 15y = 25
10x - 4y = -32
Now we can subtract:
19y = 57
y = 3
Since we know the value of y, we can substitute it into one of the original equations:
2x + 3(3) = 5
2x + 9 = 5
2x = -4
x = -2
Answer: P(22 ≤ x ≤ 29) = 0.703
Step-by-step explanation:
Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = output of the machine in ounces per cup.
µ = mean output
σ = standard deviation
From the information given,
µ = 27
σ = 3
The probability of filling a cup between 22 and 29 ounces is expressed as
P(22 ≤ x ≤ 29)
For x = 22,
z = (22 - 27)/3 = - 1.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.047
For x = 29,
z = (29 - 27)/3 = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.75
Therefore,
P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703
Answer:
w = 3 is your answer.
Step-by-step explanation:
You want to get w by itself.
<em>(2w - 1)/(4) = 2 - w </em><u>You will add the w on both sides.</u>
<em>(3w - 1)/(4) = 2 </em><u>You will multiply 4 on both sides.</u>
<em>3w - 1 = 8 </em><u>You will add 1 on both sides.</u>
<em>3w = 9 </em><u>You will divide 3 on both sides.</u>
w = 3 is your answer.
I think that date has been changed...but it used to be the deadline to file ur taxes
