Consider the graph that represents the following quadratic equation y=-1/3(x+2)^2+5

Mathematics

1 answer:

makkiz [27]3 years ago

7 0

We have that
<span>y=-1/3(x+2)</span>²<span>+5

using a graph tool
see the attached figure

we know that
1) the graph open downward
2) the vertex of the graphic is the point (-2,5)
3) the axis of symmetry of the graph is x=-2
4) the x intercept values are (-5.873,0) and (1.873,0)
5) the y intercept value is (0,3.667)
</span><span>
</span>

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Two number cubes are rolled for two separate events:

o-na [289]

Using it's concept, it is found that the conditional probability of B given that A occurs first is of $p = \frac{3}{10}$ .

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

When two dice are rolled, we have these 36 outcomes:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Of those, 30 involve a sum of less than 10, and of those 30, 9 involve a sum that is multiple of 3(either 3, 6 or 9), hence the probability is given by:

$p = \frac{9}{30} = \frac{3}{10} = 0.3$