Answer:
0.9961
Step-by-step explanation:
Let x be the number of passengers who fail to show up.
Then x is binomially distributed with n = 125 and p = 0.10
we want P[x ≥ 5] = 1 - P[x < 5] = 1 - P[x = 0] - P[x = 1] - P[x = 2] - P[x = 3] - P[x = 4] = 1 - 0.000002 - 0.000026 - 0.000182 - 0.000831 - 0.002817 = 0.996141 ≈ 0.9961
Therefore, the probability that every passenger who shows up can take the flight is 0.9961.
Answer:
y=(x+4)/12
Step-by-step explanation:
f(x)=12x-4
To find the inverse follow these steps:
1.) Make f(x) y so y=12x-4
2.) Switch x and y
so, x=12y-4
3.) solve for y
add 4 to the other side and then divide by 12 to get y by itself.
Answer:
k=73
Step-by-step explanation:
Answer:
x ≥ 42
Step-by-step explanation:
If you must be at least 42 inches tall to ride the bumper cars at an amusement park, this means that the minimum average height you can have is 42in i.e you can be more than 42inches tall.
The right inequality sign to represent this situations is a "greater than or equal to sign"(≥)
If x represent the heights of people who are allowed to ride the bumper cars, the required inequality expression will be x ≥ 42
Answer:
-1/2
Step-by-step explanation:
If you connected the dots here you would have a straight line. The average rate of change for a straight line is also known as the slope. Slope, by definition, is rise over run (although rise doesn't necessarily mean "up"; it could also mean down, as it does here). From one point to the next in our graph, we go down 1 unit (-1) and to the right 2 units (+2). Therefore, the slope of the line is -1/2.