Answer:
c. 3.6 and 10.4 hrs
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 deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 7, standard deviation 1.7.
For about 95% of students, nightly amount of sleep is between
7 - 2*1.7 = 7 - 3.4 = 3.6 hours
7 + 2*1.7 = 7 + 3.4 = 10.4 hours
So the correct answer is:
c. 3.6 and 10.4 hrs
Answer: The system of equation is,
2 ( x + y ) = 50
x = 2 y - 5
Step-by-step explanation:
Let x represents the length of the rectangular brownie and y represents the width of the rectangular brownie.
Thus, the perimeter of the brownie = 2 ( x + y )
But, According to the question,
Perimeter of the brownie = 50,
2 ( x + y ) = 50
The length of the brownie is 5 less than twice the width,
That is, x = 2 y - 5
Thus, the required system of equation is,
2 ( x + y ) = 50 , x = 2 y - 5
(3)
It says the rocket was in the air for approximately 6 seconds before hitting the ground.
But the graph proves it untrue because after 6 seconds it is still in the air, rather than on the ground like (3) suggests.
Vary Directly: y = k*x
Vary Inversely: y = k/x
Because x and y vary directly, our equation will look like the first one.
y = k*x
With the inputted values:
-16 = k * 4
Now, to find k, isolate the variable
k = -16/4 = -4
Your final equation will then look like this:
y = -4 * x
