Answer:
P(x < 3) = 0.1971
Explanation:
To calculate the probability that x babies weigh more than 20 pounds, we will use the binomial distribution, so it can be calculated as:

So, replacing n = 16 and p = 0.25, we get that the probability is equal to
P(x) = 16Cx (0.25)^x (1 - 0.25)^(16 - x)

Now, the probability that fewer than three weights more than 20 pounds are equal to

Then
P(x < 3) = 0.01 + 0.0535 + 0.1336
P(x < 3) = 0.1971
Therefore, the answer is
P(x < 3) = 0.1971
Answer:
$2147.36
Step-by-step explanation:
The first value can be modeled by ...
b1 = 1000·(1 -0.005)^t
After 10 years, that balance is ...
b1 = 1000·0.995^10 = 951.11
__
The second value can be modeled by ...
b2 = 1000·(1 +0.018/2)^(2t)
After 10 years, that balance is ...
b2 = 1000·1.009^20 = 1196.25
__
The total of the two investments after 10 years is ...
$951.11 +1196.25 = $2147.36
5≥|4-2x|
5≥4-2x≥-5
-1≤2x≤9
-0.5≤x≤4.5
x∈[-0.5;4.5]
Answer:
(-0,6)
Step-by-step explanation:
Reflection in y-axis,negate the x
(x,y) = (-x,y)
Point (0,6)
(0,6) = (-0,6)
Hope it helps.