Hi , your answer is 1.2*10^10
Answer:
(0, -3)
Step-by-step explanation:
The vertex is halfway between the directrix and the focus. The vertex is at (0, 0) and the directrix is a (0, 3). There are 3 units between them, so that means that the focus is 3 units the other way at (0, -3).
Answer:
10 quarters, 23 dimes
Step-by-step explanation:
Make dimes = d and quarters = q. Let the number of dimes and quarters add up to 33 and the value of the dimes and quarters add up to 4.80. The system of equations should look like:
- d + q = 33
- 0.10d + 0.25q = 4.80
Solve for d in the first equation. Subtract q from both sides.
d = 33 - q
Substitute d into the second equation.
0.10(33 - q) + 0.25q = 4.80
Distribute 0.10 inside the parentheses.
3.3 - 0.10q + 0.25q = 4.80
Combine like terms.
3.3 + 0.15q = 4.80
Subtract 3.3 from both sides.
0.15q = 1.5
Divide both sides by 0.15.
q = 10
Substitute this value of q into where we solved for d (d = 33 - q).
d = 33 - (10)
d = 23
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.
Data;
- mean = 5.82
- s = 4.93
- n = 600
<h3>Test-Static t </h3>
Let's calculate the t-value

Substitute the values into the equation and solve;

The t-value is 4.079.
The allowed significance value = 0.01
The degree of freedom is n -1, which becomes 600 - 1 = 599.
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.
Learn more on t-test here;
brainly.com/question/6501190