Since this is an arithmetic sequence, you can conclude that
the addition to the number is constant.
Let x = the number asked
k = constant
number added to the sequence
7 + k = x
x + k = 17
Solve the system of equation:
7 + k + k = 17
7 + 2k = 17
2k = 10
k = 5
Therefore, the missing number is 12 (7 + 5).
<h3>
Answer: 15 miles</h3>
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Work Shown:
t = time it takes to go from Jackie's house to her friends house
distance = rate*time
d = 30*t
This represents the distance they travel if they go 30 mph
Then when going back home, they take 6 minutes longer
6 minutes = 6/60 = 0.1 hours
So they take 0.1 hours longer meaning the t updates to t+0.1
d = r*t
d = 25*(t+0.1)
d = 25t+2.5
This represents the trip back home.
Since the distance d doesn't change, we can equate the two right hand sides and solve for t
30t = 25t+2.5
30t-25t = 2.5
5t = 2.5
t = 2.5/5
t = 0.5 hours = 30 minutes
d = 30t = 30*0.5 = 15 miles
Answer:
The 95% confidence interval would be given by (96.98;100.82)
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=0.62 represent the sample standard deviation
n=103 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
Since the Confidence is 0.95 or 95%, the significance is
and
, and the critical value for this case would be
And replacing we got:
The 95% confidence interval would be given by (96.98;100.82)
Answer:
$70.62
Step-by-step explanation:
25.62 is the money he had overdrawn
45 is the money money charged buy the bank for overdraft fee
So the Total balance to the bank is
25.62+45=$70.62
1, 0 , 8, and 2 would all lie on the y-axis