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Stels [109]
3 years ago
11

The average test scores for a particular test in algebra was 84 with a standard deviation of 5. What percentage of the students

scored higher than 89%? Please explin your answer.
Mathematics
1 answer:
bija089 [108]3 years ago
5 0

Answer:

The percentage of the students scored higher than 89% is 15.87%

Step-by-step explanation:

we are given

The average test scores for a particular test in algebra was 84

so, mean is 84

\mu=84

a standard deviation of 5

so,

\sigma=5

we have

x=89

now, we can use z-score formula

z=\frac{x-\mu}{\sigma}

now, we can plug values

z=\frac{89-84}{5}

z=1

now, we can use calculator

and we get

p(z>1)=0.1587

So,

The percentage of the students scored higher than 89% is 15.87%

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

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<em>Vertex:</em>

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<em>Axis of symmetry:</em>

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Step-by-step explanation:

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<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

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f (x) = -2(x-5)(x-3)

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Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

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a = -2\\b = 16\\c = 30

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x = \frac{-16}{2(-2)}\\\\x = 4

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y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

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<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

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Answer:

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Step-by-step explanation:

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