Answer:
a. The null and alternative hypothesis can be written as:

b. A Type I error is made when a true null hypothesis is rejected. In this case, it would happen if it is concluded that the actual mean outstanding credit card debt of college undergraduate is significantly less than $3173, when in fact it does not.
A Type II error is made when a false null hypothesis is failed to be rejected. In this case, the actual mean outstanding credit card debt of college undergraduate is in fact less than $3173, but the test concludes there is no enough evidence to claim that.
Step-by-step explanation:
We have a prior study of the mean outstanding credit card debt of college undergraduate that states that it was $3173 in 2010.
A researcher believes that this amount has decreased since then.
Then, he has to perform a hypothesis test where the null hypothesis states that the mean is still $3173 and an alternative hypothesis that states that the actual credit card debt is significantly smaller than $3173.
The null and alternative hypothesis can be written as:

2(2,1)(14,10)
(4,2) - (14,10)= (-10, -8)
The coordinates of K are (-10, -8).
Answer:
23.3
(or
(let me know if you wanted this one and is you want it explained) lol)
Step-by-step explanation:
To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:

Insert values:

Solve for c:
Evaluate exponents

Simplify addition

Find the square root of both
The fence needs to be approximately 23.3 m.
Surface Area of a Sphere = 4π(d/2)²
Let the smaller sphere's diameter be just a sample of 4 units in diameter and let the large spheres diameter be 4 times that of the smaller sphere.
Small Sphere: 4π(4/2)² = 16π units²
Large Sphere: 4π(16/2)² = 256π units²
256π / 16π = 16 times
The large sphere has a surface area 16 times that of the smaller one.
Answer:
Step-by-step explanation:
Time taken to eat the pizza in seconds =28×60=1680 seconds
If it takes 20seconds to lift, bite and chew,
Then the total bites taken to finish the pizza =1680/20 =84 bites
If for each bite 9cm² disappeared, then area that disappeared for 84bites =84×9cm² = 756cm²
Total area of pizza =756cm²
If area =(πd²)/4,
Then d² =(4×A)/π
d²=4×756/3.14=963.06
d=√963.06 = 31.03cm
1 centimeter=0.394inches
31.03cm= 0.394×31.03=12.23 inches ≈ 12inches(to the nearest inch)
The diameter of the pizza is 12inches