Answer:
28. (H) 24 ft
30. (F) 
Step-by-step explanation:
28. A right triangle can be formed, where the length of the cable represents the hypotenuse, and the ground represents the base of the triangle. From the pythagorean theorem,

where a and b are legs, and c is the hypotenuse of a right triangle.
So

30. The probability of drawing a red 1 is
(a red star 1 or a red heart 1), the probability of drawing a black 3 is
(a black triangle 3 or a black circle 3), and the probability of drawing a six of hearts is
(since there is only one six of hearts in the entire deck). Since each of the cards is mutually exclusive from one another, the probability of drawing any of them is simply all of their probabilities added together. That is,

Answer:
h=-41/2
Step-by-step explanation:
Answer:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is
since we want to check if the new model has improved the warranty rate, we can express it like this:
since are equivalent expressions.
And the alternative hypothesis should be the complement:
Null hypothesis:
or 
So the correct system of hypothesis for this case would be:
Null hypothesis:
Alternative hypothesis:
The alternative way should be:
Null hypothesis:
Alternative hypothesis:
Answer:
The area of the two-dimensional cross section is 
Step-by-step explanation:
we know that
The two-dimensional cross section that is parallel to face ABC is a triangle congruent with the triangle ABC
Therefore
Calculate the area of triangle ABC

we have that
Triangles ABC and DEF are congruent
so


substitute
