The graph of the function f(x) is shown.
1 answer:
Answer:
x = 2
x = -1.5
Step-by-step explanation:
The graph is of function f(x) = x²
Therefore, to find where the function intersects with y = 0.5x + 3,
equal the functions and solve for x:
⇒ x² = 0.5x + 3
⇒ x² - 0.5x - 3 = 0
Multiply both sides by 2:
⇒ 2x² - x - 6 = 0
Factor:
⇒ 2x² - 4x + 3x - 6 = 0
⇒ 2x(x - 2) + 3(x - 2) = 0
⇒ (x - 2)(2x + 3) = 0
Therefore:
(x - 2) = 0 ⇒ x = 2
(2x + 3) = 0 ⇒ x = -1.5
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Answer: 0.4667
Step-by-step explanation:
According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean ().
Here , margin of error = 3s , where s is standard deviation.
As per given , we have want our sample mean to estimate μ μ with an error of no more than 1.4 point in either direction.
If 99.7% of all samples give an within 1.4 , it means that
Divide boths ides by 3 , we get
Hence, So must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an
within 1.4 point of μ .