Answer:
P-value = 0.4846
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4.73
Sample mean, 
= 4.35
Sample size, n = 51
Alpha, α = 0.05
Sample standard deviation, s = 3.88
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
We can calculate the p-value with the help of standard normal table.
P-value = 0.4846
Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.
We conclude that this college has same drinking habit as the college students in general.
The correct answer is
In fact, this is a trinomial of the form
, whose solutions are given by
Using this formula for the trinomial of the problem, we find:
<span>we see that this trinomial has two coincident solutions (x=3 with multiplicity 2). This means that it can be rewritten as a perfect square, in the following form:
</span>
<span>
</span>
Answer:
Domain:- All real numbers
Range:-[3,infinite)
Step-by-step explanation:
In the function there's no value of x for which it is not defined thus domain is R.
Now a modulus will have always it's minimum value 0 thus minimum value of function is 0+3=3. And Max value of a modulus is infinite so infinite+3=infinite.
Answer:
32/45
Step-by-step explanation:
2/3 : 3/2 : 5/8
Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:
2/3 ÷ 3/2 ÷ 5/8
Dividing fractions is the same as multiplying them by the reciprocal.
2/3 * 2/3 * 8/5
Now simplify:
32/45
32 and 45 have no common factor, hence the final answer is 32/45
Ok, so this is a spelling sort of work sheet, you need to say each word aloud and if the A in the word is long, then put it in the long A box, if it's a short sounding A, then put it in the short A box.
Hope this helps >.<
