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Anuta_ua [19.1K]
2 years ago
14

Help math quiz

Mathematics
1 answer:
tiny-mole [99]2 years ago
4 0

Answer:all real numbers greater than or equal to -1

Step-by-step explanation:

In order to solve this problem we need to know the vertex and the direction its pointing.

First we expand,

x^2-6x+8

To find the x value of the vertex we use this formula (-b/2a).

-(-6)/2(1) = 3

Now we plug 3 in the equation to get the y value,

(3)^2 - 6(3) + 8 = 9 - 18 + 8 = -1

The vertex is (3,-1)

We know the graph points up because x^2 is positive

The vertex is the lowest point, so we now know that -1 is the starting range and if the graph is pointing up, that means all values greater than -1.

This leads to our answer all real numbers greater than or equal to -1.

Step-by-step explanation:

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Answer:

<em>(A) 560 students</em>

<em>(B) P = 0.41</em>

Step-by-step explanation:

<em>(Please check the attached picture for more details)</em>

As given, a survey of 1000 students found that:

41% of the surveyed students were freshmen

=> 1000 x 41/100 = 410 surveyed students were freshmen

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=> 1000 x 31/100 = 310 surveyed students were junior

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=> 1000 x 67/100 = 670 surveyed students lived on the campus

<em>(A) 260 of the surveyed students were freshmen living on the campus</em>

=> A = 410 - 260 = 150 surveyed students were freshmen NOT living on the campus

=> B = 670 - 260 = 410 surveyed students were not freshmen living on the campus

=> The number of surveyed students who were either freshmen or living on the campus:

N = A + B = 150 + 410 = 560

<em>(B)  From a previous survey you know that of interviewed juniors, only 23% live on campus (we don't really need this)</em>

=>The probability a surveyed student is a junior or someone that lives on campus: P = (670 - 260)/1000 = 0.41

I hope this helps!

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