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3 years ago

How can you represent a proportional relationship using an equation?

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

6 0

Answer:

The equation for the proportional relationship is y = 2.8x.

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.

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Tony has a jar that contains 16 red, 8 blue, 7 black, and 1 yellow marble. What is the theoretical probability of selecting a bl

suter [353]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

Number of blue marbles = 8

Total number of marbles = 16+8+7+1=32

$probability\: of \:selecting\: a\: blue\; marble\\=\frac{Number\: of\:blue\: marbles}{Total\: number\: of\: marbles} \\\\=\frac{8}{32} \\\\=\frac{1}{4}$

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3 years ago

The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 7 dollars. If a sample of 51 bags of shri

damaskus [11]

Answer:

$P(|\bar{x}-40| > 0.6)=0.5404$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 40 dollars

Standard Deviation, σ = 7 dollars

Sample size,n = 51

We are given that the distribution of cost of shrimp is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{7}{\sqrt{51}} = 0.9801$

P(sample mean would differ by true mean by more than 0.6)

$P(|\bar{x}-40| > 0.6)\\\Rightarrow = 1-P(39.4$

$P(39.4 \leq x \leq 40.6) \\\\= P(\displaystyle\frac{39.4 - 40}{0.9801} \leq z \leq \displaystyle\frac{40.6-40}{0.9801})\\\\ = P(-0.6121 \leq z \leq 0.6121)\\= P(z \leq 0.6121) - P(z < -0.6121)\\= 0.7298 - 0.2702 =0.4596$

$P(|\bar{x}|-40 > 0.6)\\= 1-0.4596=0.5404$

0.5404 is the required probability.

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3 years ago

PLEASE HELP!!<br> 7. Are the two triangles similar? How do you know?

aleksandr82 [10.1K]

Answer:

yes

Step-by-step explanation:

similar means resembling without being identical or same shape but different size. triangles are obviously the same shape and they're obviously different size.

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3 years ago

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The set of points form a c. rhombus

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3 years ago

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The exponential function, f(x) = 2^x, undergoes two transformations to g(x) = 1/3 x 2^x - 7. how does the graph change? select a

Ede4ka [16]

Answer:

A and D