Find the constant of variation k for the direct variation 4x = -y
2 answers:
Answer:
The constant of variation k is, -4
Step-by-step explanation:
The direct variation says that:
, then the equation is in the form of:
....[1] where, k is the constant of variation.
As per the statement:
Given the direct variation:
Divide both sides by -1 we have;
or
y = -4x
On comparing with [1] we have;
k = -4
Therefore, the constant of variation k is, -4
You might be interested in
Answer:
The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
93% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).