All estimating problems make the assumption you are familar with your math facts, addition and multiplication. Since students normally memorize multiplication facts for single-digit numbers, any problem that can be simplified to single-digit numbers is easily worked.
2. You are asked to estimate 47.99 times 0.6. The problem statement suggests you do this by multiplying 50 times 0.6. That product is the same as 5 × 6, which is a math fact you have memorized. You know this because
.. 50 × 0.6 = (5 × 10) × (6 × 1/10)
.. = (5 × 6) × (10 ×1/10) . . . . . . . . . . . by the associative property of multiplication
.. = 30 × 1
.. = 30
3. You have not provided any clue as to the procedure reviewed in the lesson. Using a calculator,
.. 47.99 × 0.6 = 28.79 . . . . . . rounded to cents
4. You have to decide if knowing the price is near $30 is sufficient information, or whether you need to know it is precisely $28.79. In my opinion, knowing it is near $30 is good enough, unless I'm having to count pennies for any of several possible reasons.
Answer:
Step-by-step explanation:
In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population). Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process, and each subset of k individuals has the same probability of being chosen for the sample as any other subset of k.
Answer:
x=4 and y=−2
Step-by-step explanation:
y=−3x+10;y=−2x+6
Step: Solve y=−3x+10for y:
Step: Substitute−3x+10foryiny=−2x+6:
y=−2x+6
−3x+10=−2x+6
−3x+10+2x=−2x+6+2x(Add 2x to both sides)
−x+10=6
−x+10+−10=6+−10(Add -10 to both sides)
−x=−4
-x/-1 = -4/-1 (Divide both sides by -1)
x=4
Step: Substitute4forxiny=−3x+10:
y=−3x+10
y=(−3)(4)+10
y=−2(Simplify both sides of the equation)
Awnser
y=13
Step-by-step explanation:
-3x+2y=56
-5x-2y=24
so first we want to get rid of one variable, in this example we dont need to multiply because the y's cancel out
so we have
-8x=80
x=-10
now plug in x into an original equation
-3(-10)+2y=56
2y=26
y=13
hope that helps
