<h3>The distance between two landmarks is 123 meters</h3>
<em><u>Solution:</u></em>
We have to find the distance between two landmarks
<em><u>Use the law of cosines</u></em>
The third side of a triangle can be found when we know two sides and the angle between them

Here, angle between 90 meters and 130 meters is 65 degrees
From figure,
a = 90
b = 130
c = d
Therefore,

Thus, the distance between two landmarks is 123 meters
 
        
        
        
Answer:
1
2
 −  1
9
8
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Part A: 
    -Minimum: 10
    -Q1: 17.5
    -Median: 30
    -Q3: 42.5
    -Maximum: 50
Step-by-step explanation:
Part B: IQR= 25
 This shows that the data varies for 25 different numbers. That HALF of the data is between 25 numbers.
Part C: Using a box-and-whisker plot you can interpret the different values. Minimum is the first dot (10), connected to the first line (Q1 which is 17.5), connected by a box to the median (30), connected by a box to the third line (Q3 which is 42.5), connected to the last dot which is the maximum (50). And IQR is Q3-Q1, so 42.5-17.5 which is 25.
 
        
             
        
        
        
Answer:
B. The average quantity of detergent put into a box by a filling machine greater than one pound
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean. From the case above option B "The average quantity of detergent put into a box by a filling machine greater than one pound" tries to establish a difference between the variable ("quantity of detergent put into a box by a filling machine") is different from its average/mean 
 
        
                    
             
        
        
        
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Total weight of the apples:
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3 + 4.2 = 7.2
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Cost of the apples:
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7.2 x 1.75 = $12.60
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Answer: Harold spent $12.60.
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