Refer to the diagram shown below.
Assume that approximately all the data is contained under the probability distribution curve within 3 standard deviations from the mean. It is actually 99.7%.
Therefore,
bin #1 corresponds to μ-3σ,
bin #11 corresponds to μ,
bin #21 corresponds to μ + 3σ.
Let x be the random variable for bin 17.
Then by interpolation,
The z-score for x is
The probability corresponding to bin #17 is (from standard tables)
P(z≤1.8) = 0.964
Therefore if there are 1000 balls, the sum of the balls in bins 1 to 17 is
0.964 * 1000 = 96.4 ≠ 96 balls.
Answer: 96 balls
Answer:
A.) Yes
Step-by-step explanation:
Plug in (3,2) into both equations ....
2(3) - 3(2) = 0
2(3) + 2 = 8
Then solve ....
2(3) - 3(2) = 0
6 - 6 = 0
0 = 0
2(3) + 2 = 8
6 + 2 = 8
8 = 8
Since both equation are true the solution (3,2) is true
Answer:
only A is correct
Step-by-step explanation:
To get the equation of the given line, we just have to see if the point given fits into any of the equation
The given point is (15,3)
a) y = 1/5x = 1/5 * 15 = 3
This is correct
b) y = -5(-75) = -375; this is not correct
c) y = 3x
y = 3(15) = 45
This is not correct
d) y = 15x
y = 15(15) = 225
This is incorrect
e) y = -1/5x
y = -1/5 * 15 = -3
This is incorrect
f) y = 5x
y = 5(15) = 75
This is also incorrect
Answer:
Domain: t≥0
Range:h(t) ≤ 0.85
Step-by-step explanation:
The domain of a function is all the valid values you can enter into the function. Because time can't be negative the domain is t>0. The range or h(t) is the result, because the object can't go through the ground, it can't be less than zero. 0≤h(t)
0≤-4.87t^2+18.75t
0≤-4.87t+18.75
-18.75≤-4.87t
which is approx.: 0.85≥t or t≤0.85
Answer:
5
Step-by-step explanation:
the median means the number in the middle so the number in the middle would be 5