Answer:
B) (3,1)
Step-by-step explanation:
y = -2x + 7
y = 3x - 8
3x - 8 = -2x + 7
combine like terms:
5x = 15
divide both sides of the equation by 5:
x = 3
y = 3(3) - 8 = 1
Answer:
The center/ mean will almost be equal, and the variability of simulation B will be higher than the variability of simulation A.
Step-by-step explanation:
Solution
Normally, a distribution sample is mostly affected by sample size.
As a rule, sampling error decreases by half by increasing the sample size four times.
In this case, B sample is 2 times higher the A sample size.
Now, the Mean sampling error is affected and is not higher for A.
But it's sample is huge for this, Thus, they are almost equal
Variability of simulation decreases with increase in number of trials. A has less variability.
With increase number of trials, variability of simulation decreases, so A has less variability.
Answer: -16
Step-by-step explanation:
Let the number be y
Four times a number minus twenty-one can be written as:
(4 × y) - 21 = 4y - 21
Six times the number plus eleven can be written as:
(6 × y) + 11 = 6y + 11
Combining both equations will give:
4y - 21 = 6y + 11
4y - 6y = 11 + 21
-2y = 32
y = 32/-2
y = -16
The number is -16
Answer:
Step-by-step explanation:
The given expression is
(4×10^8)(4×10^-7)/(4×10^8)
Considering the property of exponents which is expressed as
y^a × y^b = y^(a + b)
Applying the above rule to the denominator of the given expression, it becomes
4×10^8 × 4×10^-7 = 16 × 10^(8 + - 7)
= 16 × 10^(8 - 7)
= 16 × 10 = 160
The expression becomes
16 × 10/(4×10^8)
We would apply the property of exponents which is expressed as
y^a ÷ y^b = y^(a - b)
It becomes
16/4 × 10^(1 - 8)
= 4 × 10^-7
