Answer:
At least 68% of observations lie between 22 and 26 months.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 24
Standard deviation = 2
22 = 24 - 2
22 is one standard deviation below the mean
26 = 24 + 2
26 is one standard deviation above the mean.
So, by the empirical rule, at least 68% of observations lie between 22 and 26 months.
Answer:
Step-by-step explanation:
For 
, we have two cases:
Therefore, for 
, we have the following cases:
Solving, we have:
.
Therefore,
Answer:
ans: coefficient of 3rd term is 60
3rd term is 60x
Step-by-step explanation:
(5x +2)³ = C(3,2) × (5x)^(3-2) × 2²
= 3 × 5 × 4 × x
= 60x
Answer:
x=80
Step-by-step explanation:
First of all, you must find the length of the side to add with 36 to equal 100. This would give you 64. So once you do that, you can do pythagorean theorem to find the length of x. This would give you 64^2 + 48^2 = x^2. Once you have this equation, you square your terms to get; 4,096 + 2,304 = x^2. After you add them you will now have 6,400 = x^2. Once you have this, you will need to do the square root of both sides of the equation; sqrt(6400) = x. This gives you x = 80.
Hope this helps!
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