Answer:
The smallest xx-intercept is 
The largest xx-intercept is 
The yy-intercept is
.
Step-by-step explanation:
Given a quadratic function in the following format:

The x-values of the x-intercepts are
, given by the following formulas.



We have that:

This is not in the format above. I will multiply by (-1), so we have:

So, 



This means that
The smallest xx-intercept is 
The largest xx-intercept is 
The y-intercept is the value of f(x) when x = 0. So


The yy-intercept is
.
A because 9 divided by 15 equals 0.6. Then I multiply 0.6 times 6 which equals 3.6. I didn’t 9 divided by 15 because they are congruent.
Answer:
4 (5/12). four and five-twelfths
Step-by-step explanation:
1/2 is the same as 2/4, so: 1 1/2 = 1 2/4
1 2/4 + 2 1/4 = 3 3/4
3/4 and 2/3 have a LCM or least common multiple of 12
4 x 3 = 12 and 3 x 4 =12; but whatever you do to the bottom you have to do to the top (3/4) turns into (9/12) and (2/3) turns into (8/12)
9/12 + 8/12 = 17/12 or 1 5/12 as a mixed number
3 + 1 5/12 = 4 5/12
If 75% liked skating, then 25% did not
so 25% of what is 35
0.25x = 35
x = 35/0.25
x = 140...so there is a total of 140 students
75% of 140 =
0.75(140) = 105...so 105 students liked skating
Answer:
The 90% confidence interval is (64.0101, 68.9899).
Step-by-step explanation:
Our sample size is 310.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
.
Then, we need to subtract one by the confidence level
and divide by 2. So:

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 309 and 0.05 in the two-sided t-distribution table, we have 
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

Now, we multiply T and s

Then
LCL is the mean subtracted by M. So:

UCL is the mean added to M. So:

The 90% confidence interval is (64.0101, 68.9899).