Answer:

Step-by-step explanation:
Cross multiply, isolate the variable, and divide by the coefficient to solve.

Plug back in to check.

 
        
             
        
        
        
H(1) = 4
h(1)= 5 x 1 -1
 =5-1
 =4
hope that helps <3
        
             
        
        
        
Answer:
28 degrees
Step-by-step explanation:
68 = 2m + 12
56 = 2m
m = 28 degrees
 
        
             
        
        
        
Step-by-step explanation:
V = h × w × l
7650 = 9 × 25 × l
So,
l = 7650 ÷ 9 ÷ 25
l = 850 ÷ 25
l = 34
For the final, the length is 34.
 
        
             
        
        
        
Answer:
71.123 mph ≤ μ ≤ 77.277 mph
Step-by-step explanation:
Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:
 ≤ μ ≤
 ≤ μ ≤ 
Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and  is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
 is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.
So, if we replace m by 74.2, s by 5.3083, n by 10 and  by 1.8331, we get that the 90% confidence interval for the mean speed is:
 by 1.8331, we get that the 90% confidence interval for the mean speed is:
 ≤ μ ≤
 ≤ μ ≤ 
74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077
71.123 ≤ μ ≤ 77.277