The last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.
A few fundamental principles apply to density curves:
- A density curve's area beneath it represents probability.
- A density curve's area under it equals one.
- Base x height in a uniform density curve equals one.
- The likelihood that x = a will never occur.
- The likelihood that x < a is the same as that of x ≤ a.
Following the rules above, we can see from graph B that the curve is above the horizontal axis. That shows that the probabilities are positive which is a necessity. Moreover, the area under the curve must also be 1. That is also satisfied.
Hence, the last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.
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Answer:
7
Step-by-step explanation:
9 - 8 + (2 x 3)
9 - 8 + 6
1 + 6 = 7
Answer:
it would be
The dependent variable is distance, the equation is y = 35x, and the dragonfly will travel 840 miles
Step-by-step explanation:
By the graph it can be seen that the distance a dragonfly can travel is dependent on the certain number of hours.
∴ Dependent variable : Distance (on y axis)
The equation of straight line is given by :-
, here m is the slope of the line and c is the initial value of y at x=0.
From the given graph, the slope of the given line passing from (0,0) and (2,70) will be :-
Also, the value of y = 0 at x=0.
∴ The equation of the given line :
At x=24,
∴ The dragonfly will travel 840 miles in 24 hours.
OK first box: ask yourself: 2 to the what power equals 1024? The answer is 10. 2^10 equals 1024. You can also find that by taking the natural log of both sides and solving for x.
Second box: the term is just an inverse of the previous. When you bring the 2 up you have to change the exponent to a negative: you have 2^-10
First box:10
Second box:-10
Thank you
