You would plug in 6 where the x is so it would be -4 times 2 plus 5(6)
        
             
        
        
        
Answer:314
Step-by-step explanation: 3.14 x 100 = 314
Move the decimal two times to the right because there is two zeros
 
        
             
        
        
        
Answer:
2/35
Step-by-step explanation:
There are 15 marbles in total.
 ×
 ×
The answer would be  .
.
 
        
                    
             
        
        
        
Answer: D) 99 Points
Step-by-step explanation: Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests
Therefore the totals points are 351
351 is her total score for 4 tests, if she gets an average score of 90 on her fifth test then all we have to do is:
5 x 90 = 450 (The 5 being her fifth test)
450-351 = 99
 
Option D
 
        
             
        
        
        
Answer:
The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample  means will be approximately normally distributed.
Then, the mean of the distribution of sample mean is given by,

And the standard deviation of the distribution of sample mean  is given by,

The information provided is:
<em>μ</em> = 144 mm
<em>σ</em> = 7 mm
<em>n</em> = 50.
Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.

Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:

                            
*Use a <em>z</em>-table for the probability.
Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.