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1 year ago

17. You roll a number cube. How likely is it that you will roll a number less than 7? Explain

Mathematics

1 answer:

Lyrx [107]1 year ago

6 0

Answer:

1 or 100%.

Step-by-step explanation:

The probability of rolling less than 7 is equal to the probability of rolling 1 or 2 or 3 or 4 or 5 or 6. That is 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6. So any number from the dice can come up when you roll it because a perfect dice has 6 sides.

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Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)

lisov135 [29]

Answer:

(a) The system of the equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ has no solution.

(b) The system of the equations $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ has many solutions $y=\frac{2x}{3}-\frac{5}{3}$

Step-by-step explanation:

(a) To find the solutions of the following system of equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ you must:

Multiply $2x-3y=3$ by 2:

$\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}$

Subtract the equations

$4x-6y=3\\-\\4x-6y=6\\------\\0=-3$

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ you must:

Isolate x for $4x-6y=10$

$x=\frac{5+3y}{2}$

Substitute $x=\frac{5+3y}{2}$ into the second equation

$16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40$

The system has many solutions.

Isolate y for $4x-6y=10$

$y=\frac{2x}{3}-\frac{5}{3}$

3 0

2 years ago

Solve it<br><img src="https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%205%28x%20-%209%29%20%2B%203%28x%20%20%2B%204%29%20%3D%202%28x%2

JulsSmile [24]

Answer:

$5x - 45 + 3x + 12 = 2x - 12 \\ 8x - 33 = 2x - 12 \\ 6x = 21 \\ x = 3.5$

6 0

2 years ago

Read 2 more answers

Name a pair of complementary angles in the diagram above.

Tamiku [17]

Answer:

7&9

Step-by-step explanation:

Really, its just because, that's my explanation.

3 0

2 years ago

1. The coordinates of the vertices of parallelogram RMBS are R(–4, 5), M(1, 4), B(2, –1), and S(–3, 0). Using the diagonals, pro

Whitepunk [10]

First, plot the points. Point R would be somewhere in the second Quadrant, point M would be in the first quadrant 1, point B would be in the fourth quadrant, and point S would be on the negative y-axis. A property of rhombi is that their diagonals are perpendicular. One would need to calculate the slopes of the diagonals and determine whether or not they are perpendicular. Lines are perpendicular if and only if their slopes are opposite reciprocals. Example: 2 and -0.5
Formulas needed:
Slope formula:
$\frac{ y_{2}- y_{1} }{ x_{2} - x_{1} }$

The figure would look kinda like this:
R
M

S
B
Diagonals are segment RB and segment SM
So, your slope equations would look like this:
$\frac{-1-5}{2-(-4)}$
and
$\frac{4-(-3)}{1-0}$
Slope of RB= -1
Slope of SM=7
Not a rhombus, slopes aren't perpendicular. But this figure may very well be a parallelogram

7 0

2 years ago

Write three different equations that have x=5 as a solution

svlad2 [7]

Answer: The three different equations will be

$x+3=8\\\\2x-8=2\\\\4x-4=16$