Let x represent the number of caps
cost per cap = $6
cost for x caps = 6x
shipping charge = $25
overall budget = $1000
We can set up the following inequality:
Because the total amount cannot exceed 1000, we have
25 + 6x ≤ 1000
6x ≤ 975
x ≤ 162.5
rounding,
x ≤ 163
This means she can purchase a maximum of 163 caps.
Because
1 USD = 113.83 Japanese Yen
To convert 100 USD: 100 × 113.83 Japanese Yen
Therefore 100 USD = 11,383.00 Japanese Yen
p(side effects|child) = 0.44
p(side effects|adult) = 0.14
Conclusion: children are significantly more likely to experience side effects compared to adults.
Step-by-step explanation:
I just completed it on apex. Good luck!
<span>The system of equations that can determine if the commuter jet’s flight path crosses the restricted airspace is:
y = \frac{1}{4}(x - 10)^2 + 6 (i)
y = \frac{-27}{34}x - \frac{5}{17} (ii)
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Here's why:
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The closed airspace boundary is defined by points (10, 6) and (12, 7).
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The commuter jet’s linear path runs from (-18, 14) to (16, -13).
Equation (i) describes the boundary since it fits both (10, 6) and (12, 7):
For (10, 6):
\frac{1}{4}(10-10)^2 + 6 = 6 (true)
For (12, 7):
\frac{1}{4}(12-10)^2 + 6 = 1 + 6 = 7 (true)
Equation (ii) represents the commuter jet’s path as it fits both (-18, 14) and (16, -13):
For (16, -13):
-13 = \frac{-27}{34} \times 16 - \frac{5}{17} = -13 (true)
For (-18, 14):
14 = \frac{-27}{34} \times (-18) - \frac{5}{17} = 14 (true)
By solving this system, we can confirm that the jet’s flight path intersects the closed airspace.
