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Mathematics

1 answer:

Drupady [299]3 years ago

3 0

Answer: The answer is Yes. A square is a rectangle because it possesses all the properties of a rectangle. These properties are: Interior angles measure 90∘ each.

Explanation:

Definition of a Rectangle:

A 4-sided flat shape with straight sides where all interior angles are right angles (90°).

Also, opposite sides are parallel and of equal length.

Definition of a Square:

A 4-sided flat shape with straight sides where all interior angles are right angles (90°).

Also, all sides have equal length

As you can see the first part of the definition of a square and rectangle are the same.

However, a square is a special case of a rectangle.

When all 4 sides of a rectangle are equal then the rectangle is a square.

So, a rectangle can also sometimes be a square.

Step-by-step explanation:

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A bag contains 42 red marbles, 6 white marbles, and 8 gray marbles. You randomly pick out a marble, record its color, and put it

Elanso [62]

For any single draw,

$\mathbb P(\text{white})=\dfrac6{42+6+8}=\dfrac6{56}$
$\mathbb P(\text{gray})=\dfrac8{42+6+8}=\dfrac8{56}$

Drawing a white marble or a gray marble are disjoint events; only one of them can happen. So

$\mathbb P(\text{white or gray})=\mathbb P(\text{white})+\mathbb P(\text{gray})-\underbrace{\mathbb P(\text{white and gray})}_0$
$\mathbb P(\text{white or gray})=\dfrac6{56}+\dfrac8{56}=\dfrac{14}{56}$

Out of 224 draws, you should expect $\dfrac{14}{56}\times224=56$ of the marbles to be either white or gray.