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3 years ago

What does proportion mean in algebra when dealing with graphs

1 answer:

andrey2020 [161]3 years ago

3 0

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if y=Mc

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What is the area of a circle whose radius is 10 m

kramer

Answer:

A≈314.16m²

I hope that this works for you!

7 0

3 years ago

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A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no m

Naddika [18.5K]

Answer:

The null hypothesis is $H_0: p \leq x$ , in which x is the proportion tested.

The alternative hypothesis is $H_1: p > x$

Step-by-step explanation:

A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.

This means that at the null hypothesis, we test if the proportion is of at most x, that is:

$H_0: p \leq x$

Suppose that we suspect otherwise and carry out a hypothesis test.

The opposite of at most x is more than x, so the alternative hypothesis is:

$H_1: p > x$

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3 years ago

Which of the following statements best defines the cardinality of a sample space? A. Cardinality refers to the number of outcome

Natalka [10]

By definition, the word "cardinality" is a term most especially used to determine the "measure of number elements in a set." In addition to that, a sample space simply defines the number of possible outcomes in a random experiment. Therefore, the answer would be "<span>Cardinality refers to the number of outcomes in a sample space."</span>

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3 years ago

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1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)

olga nikolaevna [1]

Transforming a shape involves changing the size and/or the location of the shape.

The rule that will take the triangle to a congruent triangle is $(x,y) \to (x,-y)$
The rule that will take the triangle to a figure that is similar is $(x,y) \to (0.5x,0.5y)$ .
The rule that will take the triangle to a figure that is not similar or congruent is $(x,y) \to (0.5x,2y)$ .

<h3>Rigid transformation</h3>

When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.

An example of a rigid transformation is a reflection over the x-axis; and the rule is:

$(x,y) \to (x,-y)$

So, a rule that will take the triangle to a congruent triangle is $(x,y) \to (x,-y)$

<h3>Nonrigid transformation</h3>

When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar

An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:

$(x,y) \to (0.5x,0.5y)$

So, a rule that will take the triangle to a figure that is similar is $(x,y) \to (0.5x,0.5y)$

However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.

A rule that will take the triangle to a figure that is not similar or congruent is $(x,y) \to (0.5x,2y)$ .