Answer:
Correct option: (c) Paired samples t confidence interval.
Step-by-step explanation:
A paired data is collected from an experiment that is conducted twice; once before applying a treatment and second time after the treatment has been applied.
For example, scores of students before the coaching classes and after the coaching classes.
In this case a paired data is collected.
The runners were asked to run 100-yard wearing their usual shoes one day and do same thing the next day wearing the company's shoes.
The two data collected from both the days is a paired data.
To determine whether the salesman's claim that the runners would run faster races if they wore the company's brand of running shoe is correct or not a confidence interval can be constructed for the paired the data.
If the true mean difference is contained in the interval then the salesman's claim can be considered true otherwise false.
To construct this confidence interval use a paired sample t confidence interval.
Because the population standard deviations are not known.
The (1 - <em>α</em>)% confidence interval for the paired difference is:

Answer:

Step-by-step explanation:
start by foiling out the given function

next, use the power rule to find the derivative
power rule: To use the power rule, multiply the variable's exponent n, by its coefficient a, then subtract 1 from the exponent. If there's no coefficient (the coefficient is 1), then the exponent will become the new coefficient.

Step-by-step explanation:
You basically have to divide your number from a prime factor until your result is 1
For example
12
you divide it from the lowest prime number possible, for in this case, 2
12/2 = 6 and you can set aside 2 for now
You do the same thing and you divide it by 2
6/2 = 3 and set aside 2
Now 3 isn't divisible by 2 so you'll find another number, for in this case 3
3/3 = 1
your set side numbers are now 2,2,3
so you'll find out 12 = 2x2x3 as a product of it's prime factors
how ever you cant divide it by 4 or 6 since they aren't prime factors as they are divisible by other numbers
All you have to look at is the word "dropped" and you know it's a subtraction problem. In this case, it would be 8 - 15.
8 - 15 = -7
It would be -7<span>°C at midnight. I hoped this helped! :)</span>