Are the grades shown in the math class below normally distributed? Explain your answer.

Mathematics

1 answer:

IgorLugansk [536]2 years ago

8 0

Since the histogram is not symmetric, the grades shown in the math class below are not normally distributed.

<h3>When does a histogram represent a normal distribution?</h3>

A histogram represents a normal distribution if it symmetric.

In this problem, we have that:

57% of the grades are on the left tail.

25% of the grades are on the center.

18% are on the right tail.

Since the percentages at the tails are different, the histogram is not symmetric, and the grades shown in the math class below are not normally distributed.

More can be learned about the normal distribution at brainly.com/question/24537145

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A two and a half pound of grass seeds covers one eight of an acre.

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Answer: 60 lbs?

Step-by-step explanation:

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3 years ago

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posledela

he polynomial x(5x² + 10x + 15), it is not completely factored, 5x² + 10x + 15 can still be factored into two binomials.

<h3>Polynomial</h3>

Polynomial is an expression that involves only the operations of <em>addition, subtraction, multiplication </em>of variables.

Given the polynomial x(5x²+10x+15), it is not completely factored, 5x²+10x+15 can still be factored,

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2 years ago

The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is

trasher [3.6K]

The function is graphed as shown below

Part A:

We use the formula $- \frac{b}{2a}$ to find the vertex of the function. A quadratic function of the form of $a x^{2} +bx+c$ and equating this form to the given function $- x^{2} +20x-75$ , we have
$b=20$ and $a=-1$ .

Substituting $a$ and $b$ into the vertex formula, we have
$x=- \frac{20}{2(-1)}=10$ , as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

$- x^{2} +20x-75=0$
$-( x^{2} -20x+75)=0$
$x^{2} -20x+75=0$
$(x-5)(x-15)=0$
$x=5$ and $x=15$ , as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos