Answer:
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
Step-by-step explanation:
What is Confidence Interval?
The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.
The confidence interval is given by
Where 
is the mean weight 
is the standard deviation 
is the critical value from t-table and n is the sample size.
The term 
is known as margin of error.
As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).
Graphs like these (lines) come in the form y = mx + b where m is the slope and b is the y intercept. Y intercept is where the graph intersects the y axis so the value would be 5
Y-intercept (0, 1)
Equation of asymptote y=0
Equation of asymptote can also be called horizontal asymptote.
It means the place where the line almost meets but actually not touching the place. The line almost touches y=0 but it actually does not touch it.
Answer: $50.91
Step-by-step explanation:
The following information can be gotten from the question;
Cost of sweater = $49.95,
Cost of slacks = $68.59 each,
Cost of 2 slacks = $68.59 × 2
= $137.18
Cost of suit = $429.99.
Total cost = $49.95 + $137.18 + $429.99 = $617.12
Sales tax = 8.25%
The sales tax that Mike owe will be:
= 8.25% × $617.12
= 0.0825 × $617.12
= $50.91
Mike will have to pay a sales tax of $50.91
Answer:
<u><em>Question 1:</em></u>
The smallest 5-digit no. is <u><em>10,000</em></u>
<u>The product of its prime factors is:</u>
=> 10,000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5
<u><em>Question 2:</em></u>
The prime factors of 1729 are:
=> 1729 = 7 × 13 × 19
The relation between their 2 consecutive prime factor is that when they both are subtracted, they give the result 6
<u><em>Such as :</em></u>
=> 13-7 = 6
=> 19-13 = 6
Hope this helps!
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