Write two numbers that multiply to the value on top and add to the value on bottom.
1 answer:
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Answer:
a
The 95% confidence interval is
b
Yes there is statistically significant evidence that students in Florida perform differently from other students in the United States
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is
The sample mean is
The standard deviation is
Given that the confidence level is 95% then the level of significance is mathematically represented as
=>
=>
The critical value for obtained from the normal distribution table is
Generally the margin of error is mathematically represented as
=>
=>
Generally the 95% confidence interval is mathematically represented as
=>
=>
Given that the population mean(1000) is not within the 95% confidence interval for l for the average test score for students in Florida, then it means that there is statistically significant evidence that students in Florida perform differently from other students in the United States
Answer:
x = y²
Step-by-step explanation:
Any point (x, y ) on the parabola is equidistant from the focus and the directrix
Using the distance formula, then
= | x + 3 |
Squaring both sides
(x - 3)² + y² = (x + 3)² ← expanding both sides
x² - 6x + 9 + y² = x² + 6x + 9 ← subtract x² + 6x + 9 from both sides
- 12x + y² = 0 ( subtract y² from both sides )
- 12x = - y² ( divide both sides by - 12 )
x = y²