Answer:
It takes 4 minutes per block and she can walk 12.5 blocks in 45 minutes. 
Step-by-step explanation:
20 / 5 = 4 minutes per block
20 + 20 + 5 = 45
5 + 5 + 2.5 = 12.5
Hope this helps, I did the test last year.
 
        
             
        
        
        
Answer:
17 degrees
Step-by-step explanation:
So to find the answer you need to subtract. If the temp went down 22.1 degrees and it is -5.1 degrees you will subtract 22.1 - 5.1. This equals 17 degrees. You know the answer is correct because you can check your answer by adding: 5.1 + 17 = 22.1. We are disregarding the negative sign.
 
        
             
        
        
        
The discriminant can be determined from the number of roots of the graph.
If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.
Since the given graph has no real root, i.e. it does not cross x-axis at any point, so we can say that the discriminant of the given function is negative.
So the answer to this question is option C
        
             
        
        
        
<h2>
Answer with explanation:</h2>
Confidence interval for mean, when population standard deviation is unknown:

, where  = sample mean
 = sample mean 
n= sample size
s= sample standard deviation
 = Critical t-value for n-1 degrees of freedom
 = Critical t-value for n-1 degrees of freedom
 
We assume the population has a normal distribution.
Given, n= 19 , s= 3.8 , 

A) Critical t value for  and degree of 18 freedom
 and degree of 18 freedom
 = 2.8784
 = 2.8784
B) Required confidence interval:

Lower bound = 19.9 years
Uppen bound = 24.9 years
C) Interpretation: We are 99% confident that the true population mean of lies in (19.9, 24.9) .
 
        
        
        
There's a quick, easy, sloppy way, and there's a good math way.
Here's the good math way:
If the integers are consecutive, then you can call them  'x',  (x+1), and  (x+2).
We know what their sum is, so let's add them up: 
x + (x+1) + (x+2)  =  336
x +  x+1  +  x+2    =  336
Combine the terms that are alike on the left side:
                                           3x + 3  =  336
Subtract 3 from each side:    3x = 333
Divide each side by 3 :            <u>  x = 111</u>
The integers are<em>  111,  112,  </em>and<em> 113</em> .