Answer:
Step-by-step explanation:
Information given
represent the sample mean of amount of liquid
represent the standard deviation
sample size
represent the value that we want to check
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We want to verify if the true mean for the amount of liquid is lower than 12 ounces, and the hypothesis are given by:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing we got:
Answer:
0.749
Step-by-step explanation:
We start by calculating the z-score
Mathematically:
z-score = (x-mean)/SD
z-score = (75-77)/3 = -2/3 = -0.67
The probability we want to calculate is;
P( X > -0.67)
we can use the standard normal distribution table for this
Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth
Answer: 5m + 20 miles
Step-by-step explanation:
Miles driven on first day = m
On the second day, they drive five more miles than they did on the first day. This will be: = m + 5
On the third day, they drove three times as many miles as they did on the second day. This will be:
= 3(m + 5)
= 3m + 15
Total miles driven will now be:
= m + m+5 + 3m + 15
= 5m + 20
Divided both sides by 1/2
1/2x/(1/2)=14/(1/2)
x=14/(1/2)=14/0.5=28
The answer will be x=28
Hope this helps you!!!!!!!!!!
