Answer:
-0.02336028752
Step-by-step explanation:
0.45283018867 -0.47619047619
see the attached figure to better understand the problem
we know that
if OP ll LN
then
by proportion

we have that

substitute

therefore
<u>the answer is</u>
The value of y is 
Answer:
16, 8, 23
Step-by-step explanation:
2x+x+x+15=47
4x+15=47
4x=32
x=8
2x=16
x+15=23
To find this out you would have to divide 1.29 by three to get the price for one. 1.29/3=.43. So the price for one spaghetti sauce mix is .43$ or 43 cents. Hope this helps.
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis: all three brands are equally likely to their expected value
The alternative hypothesis: preferences exist among the three brands i.e. at least one is different from the expected value.
The expected frequency =
The observed frequency = 

37 30 49.00 1.633
21 30 81.00 2.700
32 30 4.00 0.133

Degree of freedom = 
= 3 -1
= 2
At ∝ = 0.05 and df = 2
The critical value 
Decision rule:
Since the calculated chi-square is less than the critical value, we do not reject the null hypothesis.
Thus, the null is retained with a calculated chi-square value of 4.47 and a critical chi-square value of 5.99.