Answer:
C. A matched pairs tt-interval for a mean difference
Step-by-step explanation:
When the observations from two samples are paired either naturally or by design we find the difference between the two observations of each pair. Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknown standard deviation , we perform one sample t- test on them . This is called paired difference or a paired or a matched t- test.
The test statistic
t= d`/sd/√n
where d`= ∑ di/n
and sd= ∑ (di- d`)²/n-1
with υ= n-1 degrees of freedom.
For example suppose 10 young recruits are given a strenuous physical training programme by Army. Their weights are recorded before they begin and after they complete they complete the training. The two observations obtained for each recruit. i.e. before and after measurements constitute natural pairing.
The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7
Step-by-step explanation:
The vertex form of a quadratic function is y = a(x - h)² + k, where
- (h , k) are the coordinate of the vertex point
- a is the leading coefficient (coefficient of x²)
- If y = ax² + bx + c, then
- k = f(h) that means the value of y when x = h
∵ y = 2x² - 12x + 25
∵ y = ax² + bx + c
∴ a = 2 , b = -12 , c = 25
∵
∴
∴
∴ h = 3
∵ k = f(h)
∴ k = f(3)
∵ y = 2x² - 12x + 25
- Substitute x by 3 to find k
∴ k = 2(3)² - 12(3) + 25
∴ k = 18 - 36 + 25
∴ k = 7
∵ The vertex form is y = a(x - h)² + k
∵ a = 2 , h = 3 , k = 7
∴ y = 2(x - 3)² + 7
The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7
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Answer:
She can give 8 friendship bracelets to each of her friends and have 1 left-over.
Step-by-step explanation:
A I am pretty sure. I apologize if I am incorrect.
Answer:
If the expression cannot be factored, write cannot be factored. 13. 4x + 12. 14. 8r - 14. 15 GEOMETRY The rectangle shown. 26. FUNDRAISING The Art Club receives below has a total area of (4x + 36). $10 plus $2 ... square feet. Factor 4x + i did it and a diffrent form can this help ?
Step-by-step explanation: