Answer:
Steve got 32 points
Step-by-step explanation:
Take the total score and multiply by the percentage received
40 * 80%
Change to decimal form
40 * .80
32
Steve got 32 points
 
        
             
        
        
        
Answer:
2=1/4(4+b)
Step-by-step explanation:
(0,1), (4,2)
first, find the slope
slope formula- (y2-y1)/(x2-x1)
plug in the coordinates
(2-1)/(4-0)
subtract
1/4
slope=1/4
slope intercept form- y=mx+b
choose one of the coordinates to plug in
(4,2)
plug it in
2=1/4(4+b)
 
        
             
        
        
        
Answer:
x = 16
∠A = 39
∠B = 54
∠C = 87
Step-by-step explanation:
Make a equation of all of the angles added together is equal to 180 since the angles of a triangle added together is 180
(4x-10)+(2x+7)+(7x-25)=180
combine like terms
4x+2x+7x-10+7-25 = 180
13x-28=180
solve for x
13x=208
x = 16
plug in x to find the measure of the angle
∠A = 2(16) + 7 = 39
∠B = 4(16) - 10 = 54
∠C = 7(16) - 25 = 87
Add them together to double check your answer
39 + 54 + 87 = 180
hope this helps
 
        
                    
             
        
        
        
Answer:
The 95% confidence interval is "87.94, 91.86".
Step-by-step explanation:
The given values are:
Sample batches,
n = 25
Sample mean concentration,
 = 89.9 mg
 = 89.9 mg
Amount of chemical,
σ = 5
α = 0.05
The critical value from Z table will be:
=  
=  
=  
Now,
The confidence interval will be:
=  
On substituting the values, we get
=  
=  
=  
Lower limit will be: 
=  
=  
Upper limit will be:
=  
=  