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4 years ago

40 POINTS PLEASE HELP, EXPLAIN WELL IN DETAIL PLEASE DON'T COPY OTHER ANSWERS OFF THE WEB AS NONE OF THEM HAVE MADE SENSE

Mathematics

2 answers:

cestrela7 [59]4 years ago

7 0

Wilson and Alexis can both by correct if the the function is a parabola. It can have zeroes at points x=-1, and x=1. Thus, the average rate of change between the two points would be zero because the y values do not change as they are both zero. In this way, Wilson is correct. Alexis can be correct because the parabola can have it's highest point at its vertex between the two points. It would count as a turning point because the function would increase and then decrease again.

Hope this helps :)

amm18124 years ago

7 0

If the function is a parabola, with vertex on x= 0, then the average rate of change of the function on {x: -1<x<1} is 0, because the graph is symmetric. There is also a turning point at the vertex.

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Using the graph,order the lines from steepest slope to the least steep slope.

VashaNatasha [74]

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3 years ago

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Solve for x<br> (X+4)/3=2<br> X=-2<br> X=2/3<br> X=-10/3

faust18 [17]

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3 years ago

A number is selected, at random, from the set {1,2,3,4,5,6,7,8}.

Olegator [25]

Applying the formula, you have:

A = the number is prime

B = the number is odd

I assume that with "random" you imply that all numbers can be chosen with the same probability. So, we have

$P(A) = \dfrac{4}{8} = \dfrac{1}{2}$

because 4 out of 8 numbers are prime: 2, 3, 5 and 7.

Similarly, we have

$P(B) = \dfrac{4}{8} = \dfrac{1}{2}$

because 4 out of 8 numbers are odd: 1, 3, 5 and 7.

Finally,

$P(A \land B) = \dfrac{3}{8}$

because 3 out of 8 numbers are prime and odd: 3, 5 and 7.

So, applying the formula, we have

$P(\text{prime } | \text{ odd}) = \dfrac{P(\text{prime and odd})}{P(\text{odd})} = \dfrac{\frac{3}{8}}{\frac{1}{2}} = \dfrac{3}{8}\cdot 2 = \dfrac{3}{4}$

Note:

I think that it is important to have a clear understanding of what's happening from a conceptual point of you: conditional probability simply changes the space you're working with: you are not asking "what is the probability that a random number, taken from 1 to 8, is prime?"

Rather, you are adding a bit of information, because you are asking "what is the probability that a random number, taken from 1 to 8, is prime, knowing that it's odd?"

So, we're not working anymore with the space {1,2,3,4,5,6,7,8}, but rather with {1,3,5,7} (we already know that our number is odd).

Out of these 4 odd numbers, 3 are primes. This is why the probability of picking a prime number among the odd numbers in {1,2,3,4,5,6,7,8} is 3/4: they are literally 3 out of 4.

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4 years ago

The figure below shows part of a stained-glass window depicting the rising sun. Which function can be used to find the area of t

Kryger [21]

Answer:

$A(w) = w^2 + 5w - \frac{1}{8}\pi w^2$