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An unbiased dice with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times. Out of four face values obtained, the probability that the minimum value is not less than 2 and the maximum value is not
greater than 5 is:
a) 1/81 b) 80/81
c) 16/81 d) 65/81

Solution with some explanation

Answer:

[tex]\$3A[/tex]

[tex]A[/tex] denotes area of a parallelogram

Step-by-step explanation:

Given: A parking lot is in the form of a parallelogram. Per square foot cost to pave the parking lot is [tex]\$3[/tex].

To find: Total cost to pave the parking lot

Solution:

Let [tex]A[/tex] denotes area of a parallelogram.

Also,

Per square foot cost to pave the parking lot is [tex]\$3[/tex].

So,

Total cost to pave the parking lot [tex]=\$3A[/tex]

Answer:

D

Step-by-step explanation:

To find the system of equations that is satisfied by the solution shown on the graph, we will simply need to find the equations of our two lines.

So, we will begin by finding the slope of each line and then proceed to find the entire equation.

Red Line:

To find the slope, we will first pick any two points from the red line.

Two sample points include (-5, 5) and (-4, 6).

The slope formula is given by:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Lett (-5, 5) be (x₁, y₁) and (-4, 6) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{6-5}{-4-(-5)}=\frac{1}{1}=1[/tex]

Hence, the slope of the red line is 1.

Now, we can find the entire equation. We will use the slope-intercept form:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

We know that the slope m is 1. Hence:

[tex]y=x+b[/tex]

We need to find our y-intercept b. For the red line, we know that when x is -5, y is 5. Hence:

[tex](5)=(-5)+b[/tex]

Solving for b yields:

[tex]b=10[/tex]

Therefore, our entire equation is:

[tex]y=x+10[/tex]

Blue Line:

Again, we will find the slope first.

Picking two points, we get (0, 6) and (1, 5).

Using the slope formula by letting (0, 6) be (x₁, y₁) and (1, 5) be (x₂, y₂), we acquire:

[tex]\displaystyle m=\frac{5-6}{1-0}=\frac{-1}{1}=-1[/tex]

Hence, the slope of the blue line is -1.

Again, we can use the slope-intercept form:

[tex]y=mx+b[/tex]

Fortunately, we already know the y-intercept in this case. Since we have the point (0, 6), the y-intercept b is 6.

Therefore, our equation is:

[tex]y=-x+6[/tex]

So, our two equations are:

[tex]y=x+10\text{ and } y=-x+6[/tex]

Our answers are in standard form, so we will convert the two equations to standard form. Standard form is given by:

[tex]Ax+By=C[/tex]

Where A, B, and C are integers and A is positive.

For the first equation, we can subtract x from both sides to get:

[tex]-x+y=10[/tex]

Since A should be positive, we multiply both sides to get:

[tex]x-y=-10[/tex]

For the second equation, we can add x to both sides:

[tex]x+y=6[/tex]

Hence, our two equations in standard form is:

[tex]x+y=6\text{ and } x-y=-10[/tex]

Therefore, our final answer is D.

Answer: D x + y = 6 and x − y = -10

Step-by-step explanation:

Answer:

y = 4x - 15

Step-by-step explanation:

Find slope (m) using of the line that passes through (7, 13) and (4, 1).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 13}{4 - 7} = \frac{-12}{-3} = 4 [/tex]

Find y-intercept (b) by substituting x = 4, y = 1, and m = 4 in y = mx + b.

Thus:

1 = (4)(4) + b

1 = 16 + b

Subtract 16 from each side

-15 = b

b = -15

substitute m = 4, and b = -15 in y = mx + b, to get the equation.

The equation of the line would be:

✅ y = 4x + (-15)

y = 4x - 15

Answer:

4 < x < 12

Took the test

Answer:

28k + 68

Step-by-step explanation:

7(8 + 4k) + 12

first, you use the distributive property on the parentheses

56 + 28k + 12

then you add like term, 56 + 12 = 68

68 + 28k

numbers with variables go first

28k + 68

Answer:

69

no

U will not get answers on a test noob

Answer:

Step-by-step explanation:

domain includes alll values of x so are from -1 to 2 except 0

[-1, 0) ∪ (0, 2]

Answer:

18.4

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Multiply  − 1  by  − 6 . − 8 +6 + 2

Add  − 8  and  6 . − 2 + 2

Add  − 2  and  2 .

0

Answer:

Reagan

Explanation:

Since Reagan is able to stock the same number of shelves as Savannah while spending less time to do so, it means that Reagan is able to stock shelves faster than Savannah, thus Reagan is able to stock more shelves than Savannah given that their average speeds are constant and that they both work under 4-hour shifts.

Hope this helps :)

Answer:

Part A

The factored form of the expression, 6·x² - 13·x + 6 is (2·x - 3) × (3·x - 2)

Part B

The solution of the equation 6·x² - 13·x + 6 = 0 are x = 3/2 or x = 2/3

Step-by-step explanation:

Part A

The given expression to factorize is 6·x² - 13·x + 6, which can be written as follows;

6·x² - 13·x + 6 = 6·x² - 4·x - 9·x + 6

The 13·x is split at - 4·x - 9·x

6·x² - 4·x - 9·x + 6

2·x·(3·x -2) - 3·(3·x - 2)

Bringing out the common factor (3·x - 2) gives;

(2·x - 3) × (3·x - 2)

Therefore, the expression 6·x² - 13·x + 6 in factored form is (2·x - 3) × (3·x - 2)

Part B

Solving the equation, 6·x² - 13·x + 6 = 0, therefore gives;

6·x² - 13·x + 6 = (2·x - 3) × (3·x - 2) = 0

Therefore, either (2·x - 3) = 0 and x = 3/2 or (3·x - 2) = 0 and x = 2/3

From which we have 6·x² - 13·x + 6 = 0 when x = 3/2 or 2/3 and x = 3/2 or x = 2/3 are the solution of the equation 6·x² - 13·x + 6 = 0.

Answer:

C

Step-by-step explanation:

Answer:

8 full servings

Step-by-step explanation:

1/2 cup of mix left

Answer:

3 I did the test to btw

Step-by-step explanation:

did the test

Answer:

8

Step-by-step explanation:

62 divided by 8 is 7.75

you can't cut people so round it up and you get 8

Answer: 37/3

Step-by-step explanation:

12 1/3 = 12*3+1/3 = 37/3

Answer:

[tex]\frac{37}{3}[/tex]

Step-by-step explanation:

[tex]12\frac{1}{3}[/tex]

When converting mixed numbers (such as the one above), to improper fractions, we must first multiply the whole number by the denominator:

[tex]12*3=36[/tex]

Then, add the numerator the the product:

[tex]36+1=37[/tex]

Now, put the sum over the denominator to get your solution:

[tex]\frac{37}{3}[/tex]

-

To check your work, you can convert the improper fraction to a mixed number to make sure you will end up with [tex]12\frac{1}{3}[/tex].

Divide [tex]37[/tex] into [tex]3[/tex]:

[tex]12[/tex] with a remainder of [tex]1[/tex]

Put the remainder over the denominator:

[tex]12\frac{1}{3}[/tex]

Therefore, our solution is correct!

Answer:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

Step-by-step explanation:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

because x should not be the same in more than one pair

Answer:

7

Step-by-step explanation:

16+5+16+5+16+5

Answer: 6.875 If it aks you to round it is 7 gallons.

Step-by-step explanation:

Answer:     HOPE THIS HELPS GOD BLESS  PLEASE TOUCH THANKS

C.8

Answer:

y=3x=11 .

Step-by-step explanation:

Because this y=mx+b converted in Intercept form is the answer i already gave you :).

Answer: y + 2= 0.5(x - 4) Is this good?

Step-by-step explanation:

Answer:

Therefore the final price of the table coffee which is on sale by 20% with a sales tax of 7.5% is $98.9

Step-by-step explanation:

it is $98.9

Answer:

$98.9

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]V=\frac13\cdot A_b\cdot H[/tex]

[tex]A_b[/tex]  - Base Area

H - Height of the pyramid

Base is regular triangle:  [tex]A_b=\dfrac{8^2\sqrt3}4[/tex]

The volume:

                    [tex]V=\dfrac13\times \dfrac{8^2\sqrt3}4\times 12=64\sqrt3\approx110.9[/tex]

Answer:

y = -8x+9

Step-by-step explanation:

7 = -8(-2) - b

7 = 16 - b

-9 = -b

b = 9

y = -8x+9