Answer:
The first student, with 20 measurements, will have the more precise interval due to the larger sample size.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:

In which z is related to the confidence level, s to the standard deviation and n to the sample size.
The margin of error is inversely proportional to the square root of the sample size, which means that a larger sample will lead to a lower margin of error, that is, to a more precise interval.
In this question:
One student will use 5 measurements, other 20. The first student, with 20 measurements, will have the more precise interval due to the larger sample size.
Answer:
1. I need to see the table to answer that
2. I think you need to find the probability of getting 1, H. That probability is 1/10 which is also 10%.
3. can't answer a, but b is 1/14 or 7%
4. as a fraction= 1/6
as a percent= 17% (rounded up)
Step-by-step explanation:
2. I just took the outcome needed and decided by the possible outcomes.
3. That was a compound event so I just got the probability of flipping tails (1/2) and multiplied it by the probability of getting a white ball (1/7)
4. another compound event, I got the probability of getting a medium (1/3) and multiplied it by getting yellow (1/2)
hope this helped!
They are not equivalent expression because 3^2 is 9 since 3*3 is 9 but 3*2 is 6, so the expressions are not equivalent. <span />
Step-by-step explanation:
To find the slope between two given points you use the equation:

(8,10) are 
(16,24) are 
After that you just plug in:


Simplify:
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Answer:
The slope is
for #1



At

, you have

The trick to finding out the sign of this is to figure out between which multiples of

the value of

lies.
We know that

whenever

, and that

whenever

, where

.
We have

which is to say that

, an interval that is equivalent modulo

to the interval

.
So what we know is that

corresponds to the measure of an angle that lies in the third quadrant, where both cosine and sine are negative.
This means

, so

is decreasing when

.
Now, the second derivative has the value

Both

and

are negative, so we're essentially computing the sum of a negative number and a positive number. Given that

for

, and

for

, we can use a similar argument to establish in which half of the third quadrant the angle

lies. You'll find that the sine term is much larger, so that the second derivative is positive, which means

is concave up when

.