Answer:
Therefore, Sara’s current age (5 years later) is 19 years old.
Step-by-step explanation:
Let xx be Sara’s age five years ago. Therefore, Sara’s aunt’s age 5 years ago is 4x4x.
The difference in their ages is a constant, no matter how many years have gone by. (Can you see why?)
4x−x=42
3x=42
x=42/3
x=14
14+5=19
Therefore, Sara’s current age (5 years later) is 19 years old.
Answer:
The decision rule is
Reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 160
The sample mean is 
The variance is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the standard deviation is mathematically represented as

=>
=>
Generally the test statistics is mathematically represented as

=>
=> 
From the z table the area under the normal curve to the left corresponding to 2.53 is

From the value obtained we see that the
hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the believe that the valve performs above the specifications is true
If my calculations are right the answer should be c. 40.5mi
Answer: The required number of miles rode is 4.6875.
Step-by-step explanation: We are given to solve the following situation for the value of d :
Tori needed to take a taxi. The fare for riding in a taxi is a $3 fixed charge and $0.80 per mile. The fare for a ride of d miles is $6.75.
According to the given information, we have

Thus, the required number of miles rode is 4.6875.