Answer:
(a) P(X<51) = 50.0%
(b) P(X<45) = 15.1%
(c) P(X>45) = 84.9%
Step-by-step explanation:
Mean weight (μ) = 51 pounds
Standard deviation (σ) = 5.8 pounds
The z-score for any given weight, 'X', is given by the following expression;
a) P(X<51)
Since 51 pounds is exactly the mean weight, 50% of the dogs weight more than 51 pounds while 50% weight less than 51 pounds.
P(X<51) = 50.0%
b) P(X<45)
The z-score for X=45 is:
A z-score of -1.034 is equivalent to the 15.06-th percentile in a normal distribution. Therefore:
P(X<45) = 15.1%
c) P(X>45)
P(X>45) = 100% - P(X<45) = 100% - 15.1%
P(X>45) = 84.9%
Answer:
-2b/(a-b)
Step-by-step explanation:
1− (a+b/a−b)
We need to get a common denominator of a-b
1 = (a-b)/(a-b)
Replace 1 with (a-b)/(a-b)
(a-b)/(a-b) - (a+b)/(a-b)
Put over the common denominator
(a-b) - (a+b)
-----------------
(a-b)
Distribute the minus sign.
(a-b) - a-b)
-----------------
(a-b)
a-a-b-b
---------------
a-b
-2b
----------
a-b
Step 1: Find the slope using :
Step 2: Plug the slope and one-point into point-slope form :
Let's use (4,1) since there's no negative involved. That makes it easier:
Given
To find the derivative of the give function,we apply below exponent rule first:
So,
Next, we apply the chain rule:
So,
We substitute back u=(5x-6):
Simplify:
Therefore, the answer is: