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3 years ago

2. Draw a table to show the sample space of a toss of two dice. Denote the event of a sum of 7 or 11 on the table.

Mathematics

1 answer:

frozen [14]3 years ago

4 0

The sample space of a toss of two dice is:

$\end{bmatrix} (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) \\ (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) \\ (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) \\ (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) \\ (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) \\ (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) \end{bmatrix}$

The sample space denoting the sum of 7 or 11 is:

$\begin{bmatrix} (1,6) (6,1) (3,4) (4,3) (5,2) (2,5) (5,6) (6,5) \end{bmatrix}$

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Which is larger 4 yards or 13 feet?

Dmitrij [34]

13feet is larger as 4 yard is equivalent to 12 feet

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3 years ago

Read 2 more answers

The redwood national park is home to some of the largest trees in the world. Hyperion is the tallest tree in the park, with a he

vladimir1956 [14]

Answer:

$h= 126.33\ yd$

Step-by-step explanation:

Let h be the height of the tree.

Given:

Height of the tree = 379 feet

We need to find the height of the tree in yards.

Solution:

From the given statement, Hyperion is the tallest tree in the park, with a height of approximately 379 feet,

We need to convert the height of the tree from feet to yard. So, We divide the height of the tree by three for yard.

For one feet

$h = \frac{1}{3}\ yd$

For 379 feet

$h = \frac{379}{3}\ yd$

$h= 126.33\ yd$

Therefore , height of the tree $h= 126.33\ yd$

3 0

3 years ago

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

saul85 [17]

Answer:

4b. −6x + y = −4

4a. 7x + 4y = −12

3b. y = ½x + 3

3a. y = −6x + 5

2b. y + 2 = −⅔(x + 3)

2a. y - 3 = ⅘(x - 5)

1b. y = -x + 5

1a. y = 5x - 3

Step-by-step explanation:

Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:

2 = 6[1] + b

−4 = b

y = 6x - 4

-6x - 6x

_________

−6x + y = −4 >> Standard Equation

4 = −7⁄4[-4] + b

−3 = b

y = −7⁄4x - 3

+7⁄4x +7⁄4x

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7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

4[7⁄4x + y = −3]

7x + 4y = −12 >> Standard Equation

__________________________________________________________

Plug both coordinates into the Slope-Intercept Formula:

5 = ½[4] + b

3 = b

y = ½x + 3 >> EXACT SAME EQUATION

−1 = −6[1] + b

−6

5 = b

y = −6x + 5

* Parallel lines have SIMILAR RATE OF CHANGES [SLOPES].

__________________________________________________________

b. y + 2 = −⅔(x + 3)

a. y - 3 = ⅘(x - 5)

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

__________________________________________________________

b. y = -x + 5

a. y = 5x - 3

Just write out the Slope-Intercept Formula as it is given to you.

I am joyous to assist you anytime.

3 0

3 years ago

Determine P(product is an even number) and P(product is an odd number).

Alchen [17]

What does that mean cause I don't know if it is possibility

5 0

3 years ago

7. If a set of data points has a trend line of y = 4.2x - 3, what is the predicted value of x when

elixir [45]

Answer:

The predicted value of x = 2

Step-by-step explanation:

y = 4.2x - 3 is the given equation.

Now, y = 5.4

Putting in the above equation, we get

5.4 = 4.2x - 3

or, 5.4 + 3 = 4.2x

or, 8.4 = 4.2 x

⇒ x = 8.4/4.2

⇒ x = 2

8 0

3 years ago