Determine the t critical value(s) that will capture the desired t-curve area in each of the following cases. (Assume that centra

Response:

a. 55 cars

b. 25 cars

Detailed explanation:

Let’s denote the quantity of cars with stereo systems as N(ss), those with air conditioning as N(ac), and those with sunroofs as N(sr).

We find that:

N(ss) = 30

N(ac) = 30

N(sr) = 40

N(ss and ac and sr) = 15

N(at least two) = 30

a.

To calculate how many cars possess at least one feature (N(at least one) or N(ss or ac or sr)), we apply:

N(ss or ac or sr) = N(ss) + N(ac) + N(sr) - N(ss and ac) - N(ss and sr) - N(ac and sr) + N(ss and ac and sr)

N(ss or ac or sr) = 30 + 30 + 40 - (N(at least two) + 2*N(ss and ac and sr)) + 15

Substituting, we find N(ss or ac or sr) = 30 + 30 + 40 - (30 + 2*15) + 15 = 55

b.

For those cars that have exactly one feature, we have:

N(only one) = N(at least one) - N(at least two)

N(only one) = 55 - 30 = 25

Answer:

The p-value for this test is 0.031. It should be interpreted as "There is a 96.9% likelihood that the actual average of soup sales at the new site exceeds 75 bowls it daily"

Step-by-step explanation:

The p-value"In hypothesis testing, the p-value, or probability value, represents the likelihood of obtaining test outcomes at least as extreme as the observed results, given that the null hypothesis holds true"

Answer:

Vertex: (1, -4)

intercept: (-3, 0)

Step-by-step explanation:

Let's be honest, you're not here for a detailed breakdown; you simply want the answer.

HOWEVER... the vertex corresponds to the Y-axis while the intercept aligns with the X-axis.

Answer:

E

Step-by-step explanation:

My guess is E, since if you total everything and then divide by 2, it equals 30.

 x = 27 + 3 √ 129/ 4, 27 − 3 √ 129/ 4

Please note: the entire equation mentioned is divided by 4, not only the last term. 

 x approximates to 15.26836251, − 1.76836251

That concludes my response. I hope this is helpful. You will still need to work on finding y and z, which can be quite challenging:)