Answer:
In khan academy, just plot the points and the answer is yes.
Step-by-step explanation:
Use the table to plot the points and you'll figure out that it's proportional- so the answer to the question below is yes. Doesn't need too much explaining.
Answer:
The probability that a defective rod can be salvaged = 0.50
Step-by-step explanation:
Given that:
A machine shop produces heavy duty high endurance 20-inch rods
On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.
If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.
Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20 - 15 )inches
Now:
P(X ≤ 5) = 
= 0.25
P(X ≥ 15) = 
= 0.25
The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)
= 0.25+0.25
= 0.50
∴ The probability that a defective rod can be salvaged = 0.50
If you divide 27 by 75 you will get .36 calories. .36 is how many calories are in one gram of corn flakes. So if you multiply .36 and 120 you will get 43.2 therefore there is 43.2 calories in 120 grams of corn flakes.
Answer:
44 degrees
Step-by-step explanation:
x
Let the supplement/compliment by
y
x+
y=90
Complimentary angles add up to 90 degrees.
x+3
y=180
Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:x+y=90 Isolate x:x=90−y Input into the other equation:(90−y)+3y=180Combine like terms, isolate y and its coefficients:2y=90 Isolate yy=45 Input into the first equation:x+45=90 Isolate x:x=45 degrees