The value of y varies directly as the square of x and y = -12 when x = 2 then the value of y when x = -4 exists y = 24.
<h3>What is meant by direct variation?</h3>
When two variable quantities contain a constant ratio, their relationship exists comprehended a direct variation. It exists said that one variable varies directly as the other. The formula for direct variation is y = kx, where k exists the constant of variation.
The constant value (often written k) relating amounts that rise or fall uniformly together. It exists the ratio of the amounts y and x:
k = y/x.
Put another way: y = kx.
Accordingly, the equation has the form y = kx, where k may be any number.
Substituting y = -12 when x = 2, we get
-12 = k × 2
simplifying the above equation, we get
⇒ k = -6
Therefore, the required equation exists y = -6x.
The value of y when x = -4 is y = -6 × -4 = 24.
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Answer:
168
Step-by-step explanation:
60+16+8 is 84
84 times 2 is 168
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Answer:
The difference in the sample proportions is not statistically significant at 0.05 significance level.
Step-by-step explanation:
Significance level is missing, it is α=0.05
Let p(public) be the proportion of alumni of the public university who attended at least one class reunion
p(private) be the proportion of alumni of the private university who attended at least one class reunion
Hypotheses are:
: p(public) = p(private)
: p(public) ≠ p(private)
The formula for the test statistic is given as:
z=
where
- p1 is the sample proportion of public university students who attended at least one class reunion (
)
- p2 is the sample proportion of private university students who attended at least one class reunion (
)
- p is the pool proportion of p1 and p2 (
)
- n1 is the sample size of the alumni from public university (1311)
- n2 is the sample size of the students from private university (1038)
Then z=
=-0.207
Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.
Pythagorean Theorem is A^2 + B^2 =C^2. So, to find a leg instead of the hypotenuse you switch it around to C^2 - B^2=A^2. 10^2 - 8^2= the missing leg. 100- 64=C^2. 100-64=36. So then, you just square root the 36 which is 6. So 6 is the length of the other leg. And, if you want to you can take original Pythagorean Theorem and plug in all the numbers to double check.
-6/10 and -2/20 are two possible fractions
