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ozzi
3 years ago
7

If a pair of standard dice are rolled, what is the probability that the sum will be less than 5?

Mathematics
2 answers:
Komok [63]3 years ago
5 0

Answer:

Probability=  No. of favorable outcomes/ total no. of outcomes

= 4/6 Since below 5 will be 4

and we need to simplify= 2/3

Step-by-step explanation:

astra-53 [7]3 years ago
5 0

Answer: the answer is 1/6

Step-by-step explanation:

You might be interested in
Find the area of the circle.<br> 10 cm<br> Area =__ cm2
Sophie [7]

Answer:

100cm2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If the mass of your father is 70kg, what is his weight (N)?
Airida [17]

Answer: 686 N

Step-by-step explanation:

Hi!

Second Newton's law is: F=m*a, where F is force, m is mass, and a acceleration

On the Earth's surface, weight is the gravity force W=m*g, where g=9.8 m/s² is the acceleretion of gravity on Earth. So the weight of someone with mass m=70 kg is W=70*9.8 kg*m/s² = 686 N.

The unit N (Newton) is defined as 1 N = 1 kg*m/s²

3 0
3 years ago
PLEASE NEED HELP ASAP IM GIVING ALL MY POINTS THIS SHOULD BE A EASY QUESTION.​
faust18 [17]

Answer:

  1. Function 1 is not a function.
  2. The domain and range of the first function respectively are \text{ \{-3, 0, 1, 5\}} and \text{ \{-4, -2, -1, 1, 3\}}.
  3. Function 2 is a function.
  4. The domain and range of the second function respectively are \text{ \{-2, -1, 0, 1, 2\}} and \text{ \{-7, -2, 1\}}.

Step-by-step explanation:

In math, every function has a domain and a range.

  • The domain of the function is all of the x-values for which the function is true. These can be found on the x-axis for every position at which the function exists or crosses the x-axis.
  • The range of the function is all of the y-values for which the function is defined. The range can be found in the same manner as the domain - for every y-value at which the function exists, it is apart of the range.

Therefore, with this information given to us, we need to also know about coordinate pairs. Coordinate pairs are written in (x, y) form.

Functions are classified in four ways:

  1. One-to-one functions: Functions are considered to be one-to-one functions if there are unique y-values (no y-values are repeated) and there is one x-value for every one y-value.
  2. Onto functions: Functions are considered to be onto functions if there are unique x-values. These x-values cannot repeat, but different x-values can be connected to the same y-values.
  3. Both one-to-one & onto: Functions are considered both one-to-one and onto when there is exactly one x-value for every one y-value.
  4. Neither one-to-one or onto: Functions are considered to be neither an one-to-one function or an onto function when they have two or more of the same y-values assigned to the same x-values. A function cannot exist if y-values are duplicated on a x-value.

Finally, the domain and range should be written in ascending order. Therefore, the lowest number should be written first in the domain and the highest number should be written last.

<u>Function 1</u>

We are given the function: \text{ \{(-3, 3)}, (1, 1), (0, -2), (1, -4), (5, -1) \} }.

Using the information above, we can pick out our x and y-values from the function.

Values of Domain: -3, 1, 0, 1, 5

Values of Range: 3, 1, -2, -4, -1

Now, we need to arrange these in ascending order.

Domain Rearranged: -3, 0, 1, 1, 5

Range Rearranged: -4, -2, -1, 1, 3

Using these values, we can see what values we have.

For x-values:

x = -3: 1 value

x = 0: 1 value

x = 1: 2 values

x = 5: 1 value

For y-values:

y = -4: 1 value

y = -2: 1 value

y = -1: 1 value

y = 1: 1 value

y = 3: 1 value

Therefore, we can begin classifying this function. Because we have all separate y-values, we have a function. However, we have two of the same x-value, so we have an onto function.

Now, we can create our domain and range in the set. We use the same formatting given for the first function. We list the values in ascending order and list them in brackets to show that they are apart of a set.

The domain values are the x-values, so they are \text{ \{-3, 0, 1, 5\}}.

The range values are the y-values, so they are \text{ \{-4, -2, -1, 1, 3\}}.

Therefore, the domain and range for function one are defined, but this is not a function. Because the x-values repeat, it cannot be a function.

<u>Function 2</u>

We are given a table of values that needs to be translated into the set notation. This makes it easier to identify the values. We are given x-coordinates in the top row and y-coordinates in the bottom row. And, the table is set up to where the x-value directly above the y-value makes a coordinate pair. Using this, we can create the set function.

The set function is \text{ \{(-2, -7), (-1, -2), (0, 1), (1, -2), (2, -7)\}}.

Now, we can use the same method as above to pick out the x and y-values and reorder them to be from least to greatest.

Values of Domain: -2, -1, 0, 1, 2

Values of Range: -7, -2, 1, -2, -7

Now, we rearrange these.

Domain Rearranged: -2, -1, 0, 1, 2

Range Rearranged: -7, -7, -2, -2, 1

Now, we can check how many times the function presents each coordinate.

For x-values:

x = -2: 1 value

x = -1: 1 value

x = 0: 1 value

x = 1: 1 value

x = 2: 1 value

For y-values:

y = -7: 2 values

y = -2: 2 values

y = 1: 1 value

Now, we can classify the function. The x-values are unique, but the y-values are repeated. Therefore, because the x-values are assigned to one y-coordinate and they are unique, this is not an one-to-one function. Additionally, it cannot be an onto function because the y-values are not unique - they are repeated. Therefore, it is neither an one-to-one function or an onto function. If this function were graphed, it would actually reveal a parabola. However, it is still a function.

The domain values are the x-values, so they are \text{ \{-2, -1, 0, 1, 2\}}.

The range values are the x-values, so they are \text{ \{-7, -2, 1\}}.

8 0
2 years ago
Help me pleasee (10 points)
Montano1993 [528]

Answer:

B

Step-by-step explanation:

Givens

a^2 + b^2 = c^2

a = 4x

b = x + 2

c = 3x + 4

Solution

(4x)^2 + (x + 2)^2 = (3x + 4)^3                  Remove all the brackets.

16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16  Collect like terms on the left

17x^2 + 4x + 4 = 9x^2 + 24x + 16            Subtract the terms on the right

8x^2 - 20x - 12 = 0

This factors into

(4x - 12)(2x + 1)

There are 2 answers

4x - 12 = 0

4x = 12

x = 12/4

x = 3

or

2x + 1 = 0

2x = - 1

x = - 1/2

You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.

So the only answer is x = 3

4 0
3 years ago
9. Factorize: 6x2 - 19x + 14.​
Stella [2.4K]

Answer:

Step-by-step explanation:

Here, we want to factor the given polynomial

We have this as;

6x^2 - 19x + 14

= 6x^2 -12x-7x + 14

= 6x(x-2) -7(x-2)

= (6x-7)(x-2)

6x^2-19x + 14 = (6x-7)(x-2)

4 0
3 years ago
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