Answer:
Step-by-step explanation:
For the null hypothesis,
H0 : p = 0.63
For the alternative hypothesis,
Ha : p < 0.63
This is a left tailed test
Considering the population proportion, probability of success, p = 0.63
q = probability of failure = 1 - p
q = 1 - 0.63 = 0.37
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 478
n = number of samples = 800
P = 478/800 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76
From the normal distribution table, the area below the test z score in the left tail 0.039
Thus
p = 0.039
Answer:
Option D. 
Step-by-step explanation:
Let
x -----> the original price of one game
y ----> the original price of one security programs
Remember that


The total pay with discount is

we have that


Find the total pay without discount

The amount saved is the difference

When doing this, we would have to first straight them all out, and as we see above, they are just all over the place, and then, we would have to set them up as a sequence.
![\left[\begin{array}{ccc}5x2 + 5y2 - 20x + 30y + 40 = 0\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5x2%20%2B%205y2%20-%2020x%20%2B%2030y%20%2B%2040%20%3D%200%5Cend%7Barray%7D%5Cright%5D%20)
would be our first step in this problem mainly because it contains the most terms in this aspect.
Then we would then

, then,

.
These would only be our first 3 part of the sequence in this aspect.
The others would then be the following:

Thus, as we would have one more afterward, our last part of the sequence would then be the following.

I hope this was found helpful!
<span>1) The number of subscribers to magazine A in 2000 is 5,000 more than the number of subscribers to magazine B in 2000.
2) Which of the following describes the number of subscribers represented by the tables?
The number of subscribers to both magazines are decreasing.
3) As the number of years since 2000 increases, the number of subscribers both magazines approach zero.</span>
Answer:
50.24 yards
Step-by-step explanation:
We will use the pythagorean theorem to find hypotenuse of each of the 4 triangles.
Pythagorean Theorem is 
For Spinach area, two of the legs are 8 and 6. Solving for hypotenuse:

For watermelon area, two of the legs are 12 and 8. Solving for hypotenuse:

in red peppers area, the hypotenuse is already given as 15. But we need to find one leg since that will be the leg of the triangle in tomatoes area. Hypotenuse is 15 and one leg is 12, so the other leg is:

So, in tomatoes area, we have one leg 9 and another leg 6. Solving for hypotenuse:

Adding all the four hypotenuses, we get the length of the walkway:
Length of Walkway =
yards