Answer:
Probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.
Step-by-step explanation:
We are given that a veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses with colic is 12 years. The average age of all horses seen at the veterinary clinic was determined to be 10 years. The researcher also determined that the standard deviation of all horses coming to the veterinary clinic is 8 years.
So, firstly according to Central limit theorem the z score probability distribution for sample means is given by;
                     Z =  ~ N(0,1)
 ~ N(0,1)
where,  = average age of the random sample of horses with colic = 12 yrs
 = average age of the random sample of horses with colic = 12 yrs
              = average age of all horses seen at the veterinary clinic = 10 yrs
 = average age of all horses seen at the veterinary clinic = 10 yrs
     = standard deviation of all horses coming to the veterinary clinic = 8 yrs
 = standard deviation of all horses coming to the veterinary clinic = 8 yrs
          n = sample of horses = 60
So, probability that a sample mean is 12 or larger for a sample from the horse population is given by = P( 
  12)
 12) 
    P( 
  12) = P(
 12) = P(  
  
  ) = P(Z
 ) = P(Z  1.94) = 1 - P(Z < 1.94)
 1.94) = 1 - P(Z < 1.94)
                                                  = 1 - 0.97381 = 0.0262
Therefore, probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.
 
        
             
        
        
        
Answer:
65
Step-by-step explanation:
First, let's consider the case where you have 1 apple in the basket. The possible number of baskets you can have with 1 apple is 11: the case where you have no oranges besides the apples, the case where you have 1 orange, the case where you have 2 orange, etc.
This line of reasoning can be followed by each possible amount of apples you can have: 0, 1, 2, 3, 4 and 5.
Keep in mind that in the case where you have no apples, you must exclude the case where you also have no oranges, because the problem tells you that the basket must have at least 1 fruit.
So, the answer would be:
x = 6*11 -1 = 65 possible baskets
 
        
             
        
        
        
Y ^(-2/3)^-6 = y^12/3 = y^4
x^(1/2)^ -6 = x^-3 = 1 x^3
so the answer is y^4 * 1 /x^3  = y^4 / x^3
A
        
             
        
        
        
Answer:
The range is from -6 to 4 (inclusive).
The range is the set of y values for which the relation exists.
Looking for bottom to top the curve exists everywhere from y=-6 (lowest y) to y=4 (highest y).
The range is [-6,4] in interval notation.
The range is  in inequality notation.
 in inequality notation.