Which of the following is the equation of a line in slope-intercept form for a line with slope = 1/3 and y-intercept at (0, -4)?

You are playing a board game with your little sister. Moves are determined by rolling 2 six-sided dice. The red die tells you th

enot [183]

Answer: The probability is 1/9.

Step-by-step explanation:

First, let's define the possible outcomes of each dice:

Red: Forward (4 times), Backward (2 times)

Green : {1, 1, 2, 2, 3, 4}

We want to find the probability of moving backward 2 spaces.

Then we need to find the probability of rolling a "backward" in the red dice, and a 2 in the green dice.

First, the probability of rolling a backward in the red dice is equal to the quotient between the number of outcomes that are "backward", and the total number of outcomes in the dice (there are 2 backwards and 6 outcomes in total), this is:

p1 = 2/6 = 1/3.

And the probability of rolling a 2 in the green dice is equal to the quotient between the number of outcomes with a 2, and the total number of outcomes. (The 2 appears two times, and there are 6 possible outcomes):

p2 = 2/6 = 1/3.

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities, then the probability of moving backwards 2 spaces is:

P = p1*p2 = (1/3)*(1/3) = 1/9.

7 0

3 years ago

Uation for x and enter your answer in the box below<br> --3x + 7 = -2

Varvara68 [4.7K]

Answer:

x = -3

Step-by-step explanation:

Step 1: Simplify signs

3x + 7 = -2

Step 2: Subtract 7 on both sides

3x = -9

Step 3: Divide both sides by 3

x = -3

8 0

3 years ago

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Find the area of the shaded region. Round the the nearest tenth.

Brums [2.3K]

Answer:

226.084 sq.m.

Step-by-step explanation:

Radius of circle = 18.6 cm

Area of sector = $\frac{\theta}{360^{\circ} }\pi r^2$

Area of sector = $\frac{123}{360} \times 3.14 \times (18.6)^2$

Area of sector = $371.157 m^2$

Area of triangle = $\frac{1}{2} \times a \times b \times Sin x$

a = OA = radius = 18.6 cm

b = OB = radius = 18.6 cm

x =123 °

Substitute the values in the formula

Area of triangle = $\frac{1}{2} \times 18.6 \times 18.6 \times Sin 123$

Area of triangle = $145.073 m^2$

So, Area of shaded region = Area of sector - Area of triangle

= $371.157 m^2-145.073 m^2$

= $226.084 m^2$

Hence the area of the shaded region is 226.084 sq.m.

5 0

4 years ago

Write an equation then solve

frutty [35]

$21.50 - $4 = $17.50 If you start with $21.50, subtract the $4 entrance fee, you have $17.50 left to spend on rides. To figure out how many rides you can go on, divide $17.50 by $2.50. You can go on 7 rides. Here's the equation:

(21.5-4)/2.5=amount of rides

(21.5-4)/2.5= 7 rides

7 0

3 years ago

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10 points answer fast!

vazorg [7]

Answer:

woven blanket

Step-by-step explanation:

The artifact with the lowest elevation would be the artifact that was found in the <u>least</u> amount of feet, most likely being negative.

Thus, given the information above, we can conclude that the answer is woven blanket because it was found at -977 feet, and no other artifacts in the table were found any lower.

6 0

3 years ago

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