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stiks02 [169]
3 years ago
5

Melanie buys 2 shells for $0.80. Rosi buys 3 shells for $1.20. Carlos buys 4 shells for $1.60. Use the graph to determine whethe

r there is a proportional relationship between the number of shells and their cost. If so, what does the constant of proportionality mean in this situation? Use the drop-down menus to show and explain your answer.

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0

Answer:

There's a proportion relationship between number of shell and their cost

Step-by-step explanation:

The graph is not given.

However, I've added the appropriate graph as an attachment.

From this, point....

I'll show that the cost and number of shells as given in the question are proportional.

Represent cost with y and number of shells with x

x = 2 when y = 0.8

x = 3 when y = 1.2

x = 4 when y = 1.6

Divide each value of y by x to get the constant of proportion (r).

r = y/x

r = 0.8/2 = 0.4

r = 1.2/3 = 0.4

r = 1.6/4 = 0.4

Notice that the values of r remain constant.

Hence, there's a proportion relationship between both

And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.

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Answer:

The answer is option C i.e; y=0.9x-45

Step-by-step explanation:

When you substitute the values of x you have to get same values as given in the table

For example: substitute x=50 in the equation y=0.9x-45

Y= 0.9(50)-45

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2 years ago
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KatRina [158]
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A research company claims that no more than 55% of Americans regularly watch FOX News. You decide to test this claim and ask a r
7nadin3 [17]

Answer: z(e) = 2.07

Step-by-step explanation:

1.-The problem is about a test of proportions. As research company claims than no more 55 % of Americans regularly watch Fox News

The null hypothesis is  H₀       P₀ ≤ 0.55       from 55%

And the alternative hypothesis is  Hₐ      Pₐ > .55

Is one tail test

2.-We have to specify significance level we assume our test will be for a significance level α = 5%  or α = 0,05

3.-Calculation of z (c) = ??  and z (e) = '??

For z (c) we find in z table the value of  z(c) = 1.64

For z (e) = ( P -P₀)/√p₀q₀/n     z(e) = 0.05 / √(0.55*0,45)/425                         z(e) = 0,05/ 0.02413    z(e) = 2.07

z(e) > z(c)  threfore z(e) is in the rejection zone . We reject null hyothesis

4 0
3 years ago
Let C(x) be the statement "x has a cat", let D(x) be the statement "x has a dog" and let F(x) be the statement "xhas a ferret".
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Answer and Step-by-step explanation:

C(x) be the statement "x has a cat"

D(x) be the statement "x has a dog"

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Universe = x = all students in your class.

a) A student in your class has a cat, a dog and a ferret   = ∃x(C(x) ∧ D(x) ∧ F(x))

b) All students in your class have a cat, a dog, or a ferret  =  ∀x(C(x) ∨ D(x) ∨ F(x))

c) Some students in your class has a cat and a ferret but not a dog  = ∃x (C(x) ∧ F(x) ∧ ¬D(x))

d) No student in this class has a cat, a dog and a ferret  ¬∃x (C(x) ∧ D(x) ∧ F(x))

e) For each of the three animals, cats, dogs and ferrets, there is as student in your class who has one of the three animals.  (∃xC(x)) ∧ (∃xD(x)) ∧ (∃xF(x))

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