Answer:
A.) About 90
Step-by-step explanation:
From the given table, the biologist tagged 150 trout. Also, he recaptured a total of 100 trouts of which 60 were recaptured with tags.
Thus, let the trout population in the lake be represented by x, 
      =
 =  
Cross multiply to have;
  100 × x = 60 × 150
   100x = 9000
Divide both sides by 100,
  x = 
     = 90
Therefore, the trout population is about 90 in the lake.
 
        
             
        
        
        
Answer:
1
Step-by-step explanation:
4^3 × 4^-3
Apply the law of exponents.
4^(3+-3)
4^(0)
Any base with the exponent of 0 is equal to 1.
= 1
 
        
                    
             
        
        
        
Answer:
H0: μ = 5 versus Ha: μ < 5.
Step-by-step explanation:
Given:
μ = true average radioactivity level(picocuries per liter)
5 pCi/L = dividing line between safe and unsafe water
The recommended test here is to test the null hypothesis, H0: μ = 5 against the alternative hypothesis Ha: μ < 5.
A type I error, is an error where the null hypothesis, H0 is rejected when it is true. 
We know type I error can be controlled, so safer option which is to test H0: μ = 5 vs Ha: μ < 5 is recommended. 
Here, a type I error involves declaring the water is safe when it is not safe. A test which ensures that this error is highly unlikely is desirable because this is a very serious error. We prefer that the most serious error be a type I error because it can be explicitly controlled. 
 
        
             
        
        
        
The formula for finding the length is

All we have to do is plug in the numbers.

36 + 64 = 100
Since 100 = 

we have to find the square root.

The length of the slide is 10 feet.
 
        
        
        
The answer is B i believe