The sum of two numbers is 47. The difference between the numbers is 11.

When rolling two six-sided number cubes, what is the probability of getting a sum of at least 5? 5/18 1/3 13/18 5/6

VashaNatasha [74]

The sample space for two six sided cubes =

(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)

Now the favourable events are those where the sum is greater than or equal to 5.

It means

(1,4) (1,5) (1,6)

(2,3) (2,4) (2,5) (2,6)

(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)

It means

favourable events = 30

and total possible events = 36

So probability = 30/36 = 5/6

Hence 4th option is the correct one.

3 0

4 years ago

The pilgrims brought 40 friends to dinner the Native American brought 80 friends to dinner if 10 friends could sit at each table

Juliette [100K]

Answer:

Altogether they need 12 tables.

Step-by-step explanation:

Given:

pilgrims brought 40 friends to dinner

Native American brought 80 friends to dinner

Total Number of friends = friends of pilgrims + Native American friends = $40+80=120$

10 friends could sit at each table.

Number of Table required = $\frac{120}{10}=12$

8 0

3 years ago

.......................

sergey [27]

Answer:

B.

Step-by-step explanation:

5 0

3 years ago

What is the quotient of Three-fifths and one-tenth?

HACTEHA [7]

Answer:6

Step-by-step explanation:

8 0

3 years ago

A graph is given below. Answer the following questions based off the graph:

Tcecarenko [31]

(a) The slope of the graph is $\frac{2}{5}$

(b) The equation of the line in point-slope form is y - 1 = $\frac{2}{5}$ (x + 2.5)

(c) The y-intercept of the graph is (0 , 2)

(d) The y-intercept is correct

(e) We substitute x by zero because the line intersects y-axis at a point

its x-coordinate must be zero. Then we calculate the value of

y-coordinate when x = 0. The y-coordinate = 2, so the

y-intercept is (0 , 2)

Step-by-step explanation:

The slope of a line whose endpoints are $(x_{1},y_{1})$ and $(x_{2},y_{2})$

is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The equation of a line in a point-slope form is:

$y-y_{1}=m(x-x_{1})$

From the graph:

1. The line passes through points (-5 , 0) and (0 , 2)

2. Substitute these points in the rule of the slope to find it

3. Writ the equation of the line in the form of point-slope

(a)

∵ $(x_{1},y_{1})$ = (-5 , 0)

∵ $(x_{2},y_{2})$ = (0 , 2)

∴ $m=\frac{(2-0)}{(0--5)}=\frac{2}{5}$

The slope of the graph is $\frac{2}{5}$

(b)

∵ Point (-2.5 , 1) lies on the line

∴ $(x_{1},y_{1})$ = (-2.5 , 1)

∵ The point-slope form is ⇒ $y-y_{1}=m(x-x_{1})$

∵ m = $\frac{2}{5}$

- Substitute the coordinates of the point and the slope in the equation

∴ y - 1 = $\frac{2}{5}$ (x - -2.5)

∴ y - 1 = $\frac{2}{5}$ (x + 2.5)

The equation of the line in point-slope form is y - 1 = $\frac{2}{5}$ (x + 2.5)

(c)

When the line intersects the y-axis at point (0 , b), then b is the

y-intercept

∵ The line intersects y-axis at point (0 , 2)

∴ The y-intercept is (0 , 2)

The y-intercept of the graph is (0 , 2)

(d)

Let us substitute x in the equation by zero

∵ x = 0

∵ The point slope form of the equation is y - 1 = $\frac{2}{5}$ (x + 2.5)

∴ y - 1 = $\frac{2}{5}$ (0 + 2.5)

∴ y - 1 = $\frac{2}{5}$ (2.5)

∴ y - 1 = 1

- Add 1 to both sides

∴ y = 2

- When x = 0 then y = 2

∴ Point (0 , 2) is the y-intercept

The y-intercept is correct

(e)

We substitute x by zero because the line intersects y-axis at a point its

x-coordinate must be zero

Then we calculate the value of y-coordinate when x = 0

The y-coordinate = 2, so the y intercept is (0 , 2)

Learn more:

You can learn more about linear equation in brainly.com/question/13168205

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6 0

4 years ago