Answer:
y = x(4+z)+6
y-6 = x(4+z)
x=(y-6)/(4+z)
Step-by-step explanation:
Answer: The distance from Thomas to Sebastian is 58.39 feet
Step-by-step explanation: Please see the attachments below
You would substitute the given value of “y” into the equation of -14x+y=16
-14x+5x-2=16
Then you would solve for “x”
x=2
You would then substitute the value of “x” into the equation to solve for “y”
y=5(2)-2
Which would then give you a value for “y”
y=12
So the answer is (2,12)
Answer:
68% of the sample can be expected to fall between 28 and 32 cm
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 30
Standard deviation = 2
What proportion of the sample can be expected to fall between 28 and 32 cm
28 = 30-2
28 is one standard deviation below the mean
32 = 30 + 2
32 is one standard deviation above the mean
By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm