Answer:
The p-value of the test is 0.031. How should he interpret the p-value as "There is a 96.9% chance that the true mean of soup sales at the new location is greater than 75 bowls a day"
Step-by-step explanation:
P-value"In statistical hypothesis testing, the p-value or probability value is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct"
Answer:

Step-by-step explanation:
To solve for s, you need to follow these steps.
First multiply by t both sides of the equation.


We get 
Now we divide by r, both sides of the equation.

Finallly we obtain:
or

Answer:
(a) 

(b)

Step-by-step explanation:
(a)

Let u = π x
differentiating with respect to x
du = π dx

Putting the value of x and dx

[ c is an arbitrary constant]
Now putting the value of u
(b)

Let 
differentiating with respect to x

2du = dx
Putting the value of x and dx
=
=
Now putting the value of u
[ c is an arbitrary constant]
Answer:
Step-by-step explanation:
g(x) is the translation of the parent function f(x) to left by 1 unit and slightly stretched vertically.
<u>g(x) is:</u>
<em>See attached with both graphs included</em>
Answer: it could end in 20 different ways.
Step-by-step explanation:
This match could be
3x0 D or F
3x1 D or F
3x2 D or F
For 3x0
We have 2 options: DDD or FFF
2.P₁ = 2.1 = 2
For 3x1
We have 6 options
DFDD FDFF
DDFD FFDF
FDDD DFFF
2.3.1 = 6
For 3x2
we have 12 options:
DFDFD FDFDF
DDFFD FFDDF
DFFDD FDDFF
FFDDD DDFFF
FDFDD DFDFF
FDDFD DFFDF
2.3.2 = 12
In total we could have 20 outcomes.