Answer:
For this case we want to determine if pennies are really fair when flipped, meaning equally likely to land head up or tails, so then the correct system of hypothesis are:
Null hypothesis: 
Alternative hypothesis: 
Step-by-step explanation:
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".
Solution to the problem
For this case we want to determine if pennies are really fair when flipped, meaning equally likely to land head up or tails, so then the correct system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
Which values represent the dependent variable? (2,3) (2,-2) (-4,-2) (-2,2) A. {–4, –2, 2} B. {–4, 2, 3} C. {–4, –2, 3} D. {–2, 2
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The dependent variable is the output of a function, which would be the Y value.
In the given set: (2,3) (2,-2) (-4,-2) (-2,2), the Y value is the 2nd number inside each pair of parenthesis.
The answer would be D. {–2, 2, 3}
Okay, so Sang is standing 20 yards away from one corner, and Jazmin is standing 99 yards away from the same corner. If this is a rectangle (I like visuals, so I'll use them to explain), then:
99ft
A ------------------------- B
| |
20 ft | |
| |
C -------------------------- D
The question is asking you to solve for the diagonal line between points C and B. If you imagine a line there, you actually have the rectangle split into two triangles. So if you have triangle ABC, side CB would be the longest line, or the hypotenuse. That means you can use the Pythagorean Theorem to solve the problem.
A^2 + B^2 = C^2
99^2 + 20^2 = C^2
9,801 + 400 = C^2
10,201 = C^2
Now you solve for the square root of 10,201 to get C.
sqr (10,201) = C
C = 101 yards
4/5-2/3= 12/15-10/15 (common denominator is 15)=2/15 pounds of seeds left
