All categories

3 years ago

Amanda rolled a standar number cube what is the probability of rolling a number less than 7.

Mathematics

1 answer:

sineoko [7]3 years ago

8 0

Answer:

Wouldn't be 100% since all the numbers on a standard number cube are less than 7?

Step-by-step explanation:

You might be interested in

Find general solutions of the differential equation. Primes denote derivatives with respect toÂ x.

zepelin [54]

Answer:

$\mathbf{3x^2y^3+2xy^4=C}$

Step-by-step explanation:

From the differential equation given:

$6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0$

The equation above can be re-written as:

$6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0$

$(6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0$

Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.

Then;

M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

$\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial x}}} \ \ \text{at each point of R}$

relating with equation M(x,y)dx + N(x,y) dy = 0

Then;

$M(x,y) = 6xy^3 +2y^4\ and \ N(x,y) = 9x^2 y^2 +8xy^3$

So;

$\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3$

$\dfrac{\partial N}{\partial y }$

Let's Integrate $\dfrac{\partial F}{\partial x}= M(x,y)$ with respect to x

Then;

$F(x,y) = \int (6xy^3 +2y^4) \ dx$

$F(x,y) = 3x^2 y^3 +2xy^4 +g(y)$

Now, we will have to differentiate the above equation with respect to y and set $\dfrac{\partial F}{\partial x}= N(x,y)$ ; we have:

$\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0 \\ \\ g(y) = C_1$

Hence, $F(x,y) = 3x^2y^3 +2xy^4 +g(y) \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1$

Finally; the general solution to the equation is:

$\mathbf{3x^2y^3+2xy^4=C}$

5 0

3 years ago

Determine whether PQ and UV are parallel,

lys-0071 [83]

Answer:

The answer is below

Step-by-step explanation:

The slope of a line (m) is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.

$Slope\ of\ PQ=\frac{1-(-2)}{9-(-3)}=\frac{1}{4} \\\\Slope\ of\ UV=\frac{-2-6}{5-3}=-4$

Since the product of their slope is -1, they are perpendicular

$Slope\ of\ PQ=\frac{1-7}{2-(-10)}=-\frac{1}{2} \\\\Slope\ of\ UV=\frac{1-0}{6-4}=\frac{1}{2}$

Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular

$Slope\ of\ PQ=\frac{8-1}{9-1}=\frac{7}{8} \\\\Slope\ of\ UV=\frac{8-1}{2-(-6)}=\frac{7}{8}$

Since the slopes are the same, they are parallel

$Slope\ of\ PQ=\frac{3-0}{9-(-4)}=\frac{3}{4} \\\\Slope\ of\ UV=\frac{6-(-3)}{8-(-4)}=\frac{3}{4}$

Since the slopes are the same, they are parallel

$Slope\ of\ PQ=\frac{1-2}{0-(-9)}=-\frac{1}{9} \\\\Slope\ of\ UV=\frac{-1-8}{-2-(-1)}=9$

Since the product of their slope is -1, they are perpendicular

6 0

3 years ago

Read 2 more answers

If a(x)=3x+1and b(x)= square root of x-4, what is the domain of (b•a)(x)

german

Answer:

the correct answer is C

Step-by-step explanation:

3 0

3 years ago

If we have 765 toys and there are 3 people how many toys should we give to each man

bija089 [108]

Answer:

255 is the answer

Step-by-step explanation:

Divide 765 by 3 and the answer will come .

Hope it will help u

8 0

3 years ago

What is the formula of finding Total Surface Area and Lateral Surface Area of a Cuboid ?

7nadin3 [17]

Answer:

Formulas for Lateral Surface Area Lateral Area for Cuboid and Cube The Total surface area of a cuboid is given by 2 (length. breadth + breadth. height + height. length) = 2 × (lb + bh + hl). The total surface area of a cube is given by 6 × (side) 2.

Step-by-step explanation:

CAN I GET BRAINLIEST

7 0

3 years ago

Read 2 more answers