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!
Total amount = $8.00; 30% of this total is 0.3 * $8.00 = $2.40. There are twenty 5-cent coins in 1 dollar; therefore, the quantity of 5-cent coins in $2.40 is calculated as 2.40 * 20 = 48. Answer: 48.
The measurement of arc DB equals 74.57°. Step-by-step explanation: To clarify the resolution method: A secant intersects a circle in precisely two points, while a tangent intersects at just one point. When a tangent and a secant intersect outside of a circle, the formed angle's measurement is precisely half of the positive difference between the measures of the intercepted arcs. Now, applying this to the issue where secant CE intersects circle A at points D and E, while tangent CB touches circle A at B, forming angle ECB. As such, m∠ECB = 1/2 (m arc EB - m arc DB). Given m arc EB as 96° and m arc DB given as 25x + 21, along with m∠ECB as 5x, we establish the equation 5x = 1/2[96 - (25x + 21)]. After rearranging and solving, we find x = 75/35, simplifying to 15/7. Next, substituting x back into the arc DB formula gives m arc DB = 25(15/7) + 21 = 522/7 yields approximately 74.57°.
Answer:
347.3 cubic units
Step-by-step explanation:
To calculate the volume of the empty space, we derive the total volume of the two shapes and subtract the volume of the sphere from that of the cube.
The volume of a cube is calculated as l^3.
Here, the length is given as 9, so we compute 9x9x9, resulting in 729 cubic units.
The formula for the volume of a sphere is 4/3 pi r^3.
The radius is 4.5 (half of the diameter), thus:
4/3*91.125 pi
which becomes 121.5 pi = 381.7 (to one decimal place).
Subtracting these gives us 729-381.7 = 347.3.
The volume of the empty space equals 347.3 cubic units.
The comprehensive expression in reference to the given d:
Volume of empty space = d^3 - 4/3 pi (d/2)^3
I hope this was helpful!
Here are the steps to solve for the value of x in the equation: x/3 - 7 = 11. We start by moving 7 to the opposite side of the equation, changing its sign from negative to positive, resulting in x/3 = 11 + 7, or x/3 = 18. To isolate x, multiply both sides of the equation by 3, yielding x alone on one side. Thus, we find x = 54. If the equation were instead expressed as 3x - 7 = 11, the solution would give x = 6.
