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topjm [15]
3 years ago
5

Suppose that Njoman rolls a fair six-sided die and a fair four-sided die S uivant

Mathematics
1 answer:
ale4655 [162]3 years ago
6 0

Answer:

1/6 ,1/6, 1/24, no events A and B are not independent events.

Step-by-step explanation:

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A carnival uses two baskets hanging from springs at different heights. Next to the higher basket is a pile of baseballs. Next to
Lelechka [254]

*I've tried looking up to see if I can find what the part B and c of this question is, but unfortunately, I can't find them. However, I have tried answering this question by answering part a, and also going ahead to answer how to state and explain the secrets of winning the game. I'm pretty sure most of the questions would be answered in the process.

Answer/Step-by-sep explanation:

Using an equation, in slope-intercept form, we can derive an equation that models the relationship of the height of each basket and the number of balls it contains.

The slope-intercept form is given as: y = mx + b, where,

m = slope/rate of change

b = y-intercept/strating value/height of the basket when it's empty.

✍️Baseball Equation:

Using two pairs, (0, 54) and (5, 39) from the given table of values,

Slope/rate of change (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{39 - 54}{5 - 0} = \frac{-15}{5} = -3.

y-intercept, b, = the starting value, or the value of y when x = 0. Therefore, b = 54

This means that the baseball basket was at a height of 54 units when it was empty.

m = -3, means the baseball basket kept reducing at an average rate of -3 units in height as each ball was added.

To derive the baseball equation, substitute m = -3, and b = 54 into y = mx + b.

✅Thus, base ball equation would be:

y = -3x + 54

✍️Golf Ball Equation:

Using two pairs, (0, 45) and (5, 35) from the given table of values,

Slope/rate of change (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{35 - 45}{5 - 0} = \frac{-10}{5} = -2.

y-intercept, b, = the starting value, or the value of y when x = 0. Therefore, b = 45

This means that the golf ball basket was at a height of 45 units when it was empty.

m = -2, means the golf ball basket kept reducing at an average rate of -2 units in height as each ball was added.

To derive the baseball equation, substitute m = -2, and b = 45 into y = mx + b.

✅Thus, golf ball equation would be:

y = -2x + 45

Now, to win the game, we have to find out how many number of exact balls (x) we need to add in each basket equally, for both baskets to be at the same height.

To do this, set the equation of the baseball equal to that of the golf ball.

Thus:

-3x + 54 = -2x + 45

Collect like terms

-3x + 2x = -54 + 45

-x = -9

Divide both sides by -1

x = 9

✅To win the game, add 9 balls each to both basket to make the height of both baskets equal.

Let's check to see if both baskets will yield the same height if we add 9 balls each basket.

✍️Height (y) of Golf ball basket if we add 9 balls (x):

Substitute x = 9 into y = -2x + 45

y = -2(9) + 45 = -18 + 45

y = 27 units

✍️Height (y) of Baseball basket if we add 9 balls (x):

Substitute x = 9 into y = -3x + 54

y = -3(9) + 54 = -27 + 54

y = 27 units

✅As we can see, both baskets will be at the same height of 27 units when we add 9 balls to each basket.

The game will be won if we do this.

6 0
2 years ago
Determine the y intercept for the following equation y=2x-8
Orlov [11]

Answer: The y-intercept is -8

Step-by-step explanation:

It's simple to understand once you memorize the slope intercept formula!

y=mx+b

m stands for the slope which is rise/run

The b is the y-intercept, which is the answer you are looking for! the y-intercept is where the line crosses the y-axis!

3 0
3 years ago
How to show work for 36÷6
UkoKoshka [18]
36÷6 is 6 to show your work for it maybe draw it out and better show the equation like when you solve a bigger problem. 
6 0
3 years ago
Read 2 more answers
If miley has 200 pencils and Katie has 300 more pencils then how many more does Katie have then miley
Yakvenalex [24]

Answer: 300

Step-by-step explanation: 300+200=500

then 500-200=300

3 0
3 years ago
Read 2 more answers
What is the solution to 6x=30
Tasya [4]

Answer:

\boxed{x=5}

Step-by-step explanation:

Division property of equality- is dividing both sides of an equation by the same non-zero number it does not change the equation.

First you had to divide by six from both sides of an equation form.

\frac{6x}{6}= \frac{30}{6}

30/6=5

30/5=6

5*6=30

6*5=30

x=5

5=x

Final answer: \boxed{x=5}

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

8 0
3 years ago
Read 2 more answers
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