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irina1246 [14]
2 years ago
14

Consider a single span of the spinner. Which events are mutually exclusive? Select two options. Landing on a shaded portion and

landing on even number landing on a shaded portion and landing on a number greater than three landing on a shaded portion and landing on a three landing on in uncharted portion and landing on an odd number landing on an shaded portion and landing on a number less than two

Mathematics
2 answers:
zimovet [89]2 years ago
8 0

Answer:

1. Landing on a shaded portion and landing on a 3.

2. Landing on an un shaded portion and landing on a number less than 2.

Step-by-step explanation:

Mutually exclusive events means the events will have no intersection.

The two correct options are:

1. Landing on a shaded portion and landing on a 3.

2. Landing on an un shaded portion and landing on a number less than 2.

Explanation for 1:

Landing on a shaded portion means landing on 1 or 4.

Landing on 3 is not possible and it will be only on 3. So, these events have no intersection.

Explanation for 2:

Landing on an un shaded portion means landing on either 2 or 3.  And landing on a number less than 2 means landing on 1.

There is no intersection.

So, these events are mutually exclusive.

Sidana [21]2 years ago
5 0

Answer:

Landing on a 3 and on a shaded area

Step-by-step explanation:

Mutually exclusive means there is now way the two events can happen at the same time. This is the only option where it can either be one or the other

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The difference between two integers is 8 and their product is 65. Assume that the larger of the two numbers is x. Write a quadra
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A quadratic equation in standard form that can be used to determine the value of x is x^{2} - 8x - 65 = 0.

The Factor of the equation from Part B is (x - 13)(x + 5)  and the possible solutions to the equation is x = 13 or -5.

The value for the second number is 5

<h3>Word Problem Leading To Quadratic Equation.</h3>

The general formula for quadratic equation in a in standard form is

ax^{2} + bx + c = 0

Given that the  difference between two integers is 8

Let the two integers = x and y,

and their product is 65. If the larger of the two numbers is x. Then,

x - y = 8 and xy = 65

Since we are looking for the value of x, make y the subject of formula in the first equation.

y = x - 8

Substitute y in the second equation.

x(x - 8) = 65

x^{2} - 8x - 65 = 0

x^{2} - 13x + 5x - 65 = 0

(x - 13)(x + 5) = 0

x = 13 or -5

We will ignore -5 since x is the larger number.

To get y Substitute x in the second equation.

xy = 65

13y = 65

y = 65/13

y = 5

Therefore, a quadratic equation in standard form that can be used to determine the value of x is x^{2} - 8x - 65 = 0. The Factor of the equation from Part B is (x - 13)(x + 5)  and the possible solutions to the equation is x = 13 or -5. The value for the second number is 5

Learn more about Quadratic Equation here: brainly.com/question/25841119

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5 0
1 year ago
X − 6 = 63 − 10(x + 8)
il63 [147K]

\red { \green {\boxed {\boxed{Answer}}}}

x - 6 =63 - 10(x + 8)

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8 0
3 years ago
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kramer

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