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3 years ago

What is the probability of rolling a five on the first die and a six on the second die?

Mathematics

1 answer:

marshall27 [118]3 years ago

3 0

Answer: 1/6

Step-by-step explanation:

The probability of rolling 5 on the first die is the same as the probability of rolling a six on the second die. ie 1/6

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Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi

Marta_Voda [28]

Answer:

(-3, -129)

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

$15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)$

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. $m_1\times m_2=-1$

Slope of a line of the form $ax+by+c=0$ is given as:

$m=-\dfrac{a}{b}$

So, slopes of given lines are:

$m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}$

Using the condition:

$-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3$

Putting the value of P in equation (1):

$\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129$

So, answer is (-3, -129)

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3 years ago

I really need help pls. Its about 3d shapes

Svet_ta [14]

The image is blurry

Step-by-step explanation:

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miskamm [114]

Answer:

The volume of cube is 125 cm³.

Step-by-step explanation:

Given that the formule of volume of cube is, V = length×width×height. Cube is a 3D form of square, so the sides of the cube are all the same. You have to substitute 5 into the formula,

Let length be 5 cm,

Let width be 5 cm,

Let height be 5 cm,

Volume = 5×5×5

= 125 cm³

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melamori03 [73]

Answer:

Step-by-step explanation:

let X represent the smaller paintings and Y represent the larger paintings

since she bought 8 paintings

X+Y=8

She bought all the eight paintings for $230 and X is worth 25 while Y is worth 40

25×X+40×Y=230

25X+40Y=230

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2 years ago

By the Interior Angles Theorem, if Angle A is 25° and Angle B is greater than 51° but less than 57°, what are the possible measu

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98 < C < 104

180 - 25 - < C < 180 - 25 - 51
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Measures the interior angles of a triangle sum to 180

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