Answer:
k = 16 , (4, 0 )
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
• b² - 4ac = 0 , then 2 real and equal roots
Here
y = x² - 8x + k
with a = 1, b = - 8, c = k , then
b² - 4ac
= (- 8)² - (4 × 1 × k)
= 64 - 4k , and equating to zero
64 - 4k = 0 ( subtract 64 from both sides )
- 4k = - 64 ( divide both sides by - 4 )
k = 16
Then
y = x² - 8x + 16
Equate to zero to find the root
x² - 8x + 16 = 0 ← left side is a perfect square
(x - 4)² = 0
x - 4 = 0 ( add 4 to both sides )
x = 4
The point on the x- axis is (4, 0 )
Answer:
x = C+d-r
Step-by-step explanation:
C - x = r - d
-x = r - d - C
x = -(r - d - C)
x = -r+d+C
x = C+d-r
Considering the situation described, the confidence interval is given by:
(0.35, 0.51).
<h3>What is a confidence interval?</h3>
It is given by the <u>estimate plus/minus the margin of error</u>.
For this problem, we have that:
- The margin of error is half the range of the observations, hence M = (0.48 - 0.32)/2 = 0.08.
Then, the bounds of the interval are given by:
More can be learned about confidence intervals at brainly.com/question/25890103
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Answer: multiply u would get 50
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
