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3 years ago

1. Explain whether each following example is proportional or non-proportional.

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

3 0

9514 1404 393

Answer:

(a), (b), (c) are non-proportional

(d) is proportional

Step-by-step explanation:

An equation or graph with a non-zero y-intercept is non-proportional. That is true for (a), (b), (c).

The table of (d) is proportional, with a constant of proportionality of 6.5.

Comment on (c)

In a proportional relation, price would go up with quantity, not down. If the prices both end in 9, one cannot be double the other, as would be required for the price of a gallon to be proportional to the price of a half-gallon.

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Describe one difference between rewriting a literal equation and solving an equation in one variable.

sesenic [268]

Literal equation:

we know that

literal equation is equation of more one variable

for example: $2x+3y=1$

And we can solve such equations only if we are given two such equation

because it has two variables

One variable equation:

such equation has single variables

for example:

$3x=21$

we don't need any other equation

we can solve for variables from single equation itself

because it has only one variable that is x

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4 years ago

5. A survey of student pizza preferences showed that 43 students preferred cheese, 56 preferred sausage, 39 preferred pepperoni,

cestrela7 [59]

Answer:

P (Cheese) = 0.199, P (Sausage) = 0.259, P (Pepperoni) = 0.181,

P (Supreme) = 0.130, P (Another Kind) = 0.144

and P (Does not like any kind) = 0.088

Step-by-step explanation:

Given:

Number of students who prefer cheese = 43

Number of students who prefer sausage = 56

Number of students who prefer pepperoni = 39

Number of students who prefer supreme = 28

Number of students who prefer another kind = 31

Number of students who did not like any kind = 19

∴ The total number of students surveyed = $43+56+39+28+31+19=216$ The number of students who prefer pizza = $43+56+39+28+31=197$

The probability that a students likes pizza is,

$P(Student\ likes\ pizza)=\frac{No.\ of\ students\ who\ prefer\ pizza}{Total\ no.\ of\ students\ surveyed}$

$=\frac{197}{216} \\=0.912$

The probability that a students does not likes pizza is,

$P(Student\ does\ not\ likes\ pizza)=\frac{No.\ of\ students\ who\ does\ not\ prefer\ pizza}{Total\ no.\ of\ students\ surveyed}$

$=\frac{19}{216} \\=0.088$

The probability distribution of students who prefer different kinds of pizza is:

The probability that a student likes cheese:

$P(A\ Student\ prefers\ cheese)=\frac{No.\ of\ students\ who\ prefer\ cheese}{Total\ no.\ of\ students\ surveyed}$

$=\frac{43}{216}\\=0.199$

The probability that a student likes sausage:

$P(A\ Student\ prefers\ sausage)=\frac{No.\ of\ students\ who\ prefer\ sausage}{Total\ no.\ of\ students\ surveyed}$

$=\frac{56}{216}\\=0.259$

The probability that a student likes pepperoni:

$P(A\ Student\ prefers\ pepperoni)=\frac{No.\ of\ students\ who\ prefer\ pepperoni}{Total\ no.\ of\ students\ surveyed}$

$=\frac{39}{216}\\=0.181$

The probability that a student likes supreme:

$P(A\ Student\ prefers\ supreme)=\frac{No.\ of\ students\ who\ prefer\ supreme}{Total\ no.\ of\ students\ surveyed}$

$=\frac{28}{216}\\=0.130$

The probability that a student likes another kind:

$P(A\ Student\ prefers\ another\ kind)=\frac{No.\ of\ students\ who\ prefer\ another\ kind}{Total\ no.\ of\ students\ surveyed}$

$=\frac{31}{216}\\=0.144$

Thus, the probability distribution table is displayed below:

6 0

3 years ago

A package of Big Bubbles Gum has 10 pieces and sells for 2.90. A package of fruity gum has 20 pieces and sells for 6.20. Compare

larisa86 [58]

Answer:

The unit price for the Big Bubbles Gum is 0.29 cents, while the unit price for the fruity gum is 0.31 cents.

Step-by-step explanation:

First identify what you know:

1) A package of Bug Bubbles Wrap, containing 10 pieces of gum, sells for a total of $2.90.

2) A package of fruity gum, with 20 pieces of gum, sells for a total of $6.20.

What is the unit price? The unit price is how much you're selling for a single piece within the package! If you were to buy just one packet, how much would it cost? To calculate this, simply divide the total cost of the package, but the number of units, or rather, pieces!

$2.90/10 = 0.29 cents

$6.20/20 = 0.31 cents

From this, we see that a single unit (piece) of the Big Bubble Gum, is only 29 cents, while a single unit (piece) of the fruity gum is 31 cents. So, it would be a better deal to buy the Big Bubble Gum!

For, twenty of the Big Bubble Gum, you'd buy two packages, for $5.80, which is 40 cents less than one package of 20 pieces of fruity gum!

Hope this helps! :)

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3 years ago

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Fiesta28 [93]

I need the pic or question to solve

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3 years ago

What is the slope of the line represented by the equation y=- 5x? 0-5 or w/N wind 5

Alexandra [31]

Answer:

the slope would be -5

Step-by-step explanation:

in linear equations, the slope of the line is the coefficient of x

so in this case, it is -5

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4 years ago