Answer:
x=−27/26
and y=−192/13
Step-by-step explanation:
6x+y=−21;8x−3y=36
Step: Solve6x+y=−21for y:
6x+y=−21
6x+y+−6x=−21+−6x(Add -6x to both sides)
y=−6x−21
Step: Substitute−6x−21foryin8x−3y=36:
8x−3y=36
8x−3(−6x−21)=36
26x+63=36(Simplify both sides of the equation)
26x+63+−63=36+−63(Add -63 to both sides)
26x=−27
26x
26
=
−27
26
(Divide both sides by 26)
Answer:

Step-by-step explanation:
If OT is bisects ∠DOG, then m∠DOT = m∠TOG. Therefore
|<em>subtract 4 from both sides</em>
<em />
<em>|subtract 5x from both sides</em>
<em />
<em>|change the signs</em>
<em />
<em />
Calculate the measure of ∠DOG
m∠DOG = 2(m∠DOT)

Answer:
μ = 5.068 oz
Step-by-step explanation:
Normal distribution formula to use the table attached
Z = (x - μ)/σ
where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.
98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].
From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives
Z = (x - μ)/σ
2.33 = (6 - μ)/0.4
μ = 6 - 2.33*0.4
μ = 5.068
This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.
I hope this helps you
1/4+3/7
7/7.4+3.4/7.4
7/28+12/28
19/28
−2x + 3y + 5z = −21
−4z = 20
6x − 3y = 0
do -4z=20 first
divide both sides by -4 to get z by itself
-4z/-4=20/-4
z=-5
Use z=-5 into −2x + 3y + 5z = −21
-2x+3y+5(-5)=-21
-2x+3y-25=-21
move -25 to the other side
sign changes from -25 to +25
-2x+3y-25+25=-21+25
-2x+3y=4
6x-3y=0
find x by eliminating y
Add the equations together
-2x+6x+3y+(-3y)=4+0
-2x+6x+3y-3y=4
4x=4
Divide by 4 for both sides
4x/4=4/4
x=1
Use x=1 into 6x − 3y = 0
6(1)-3y=0
6-3y=0
Move 6 to the other side
6-6-3y=0-6
-3y=-6
Divide both sides by -3
-3y/-3=-6/-3
y=2
Answer:
(1, 2, -5)