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In 3–5 sentences, explain the difference between independent and dependent events when calculating conditional probability, and provide an example of dependent events.(4 points) simple

1 answer 3 months ago

Consider 6 different-color marbles that are randomly selected. Create a scenario for event A 𝐴 and a scenario for event B 𝐵 , such that P(A and B)=130 𝑃 ( 𝐴 and 𝐵 ) = 1 30 . State the result of event A 𝐴 , the result of...

1 answer 3 months ago

Your parents allow you to have an outing with your friends every Saturday of the month. You select the movies, bowling, skating, and the arcade as your activities for this month and put them on slips of paper in a jar to...

1 answer 3 months ago

If probability is desired outcometotal actual outcomes desired outcome total actual outcomes , then how does theoretical probability relate to experimental probability if there is a fifty-fifty chance of a coin flip land...

1 answer 3 months ago

The area of the state of Hawaii is 10,931 square miles, and its population is 1,440,196 people. The population density of a village in France is 10.19 people per square mile. Which location is more densely populated? In...

1 answer 3 months ago

The density of water is approximately 1 g/cm3 1 g / cm 3 . An ice block with a height of 2 cm, length of 2 cm, width of 5 cm, and mass of 18.4 g is dropped in water. Will it float or sink? In 3–5 sentences, show your cal...

1 answer 3 months ago

Damar writes a book on how to save money. He wants to determine the price at which he should sell the book in order to maximize his revenue. He comes up with the equation y=−0.1x2+26x 𝑦 = − 0.1 𝑥 2 + 26 𝑥 , where x repre...

1 answer 3 months ago

What is the formula for the volume of a cylinder with radius r and height h? In 3–5 sentences, describe an informal argument for this volume formula.(4 points) simple

1 answer 3 months ago

Michelle creates a cube with a height of 6 centimeters. Her friend Tasha creates a square-based pyramid with the same height and base area as Michelle’s cube. Find the volume of Michelle’s cube and use it to find the vol...

1 answer 3 months ago

Question In 1–2 sentences, explain how it can be proven that all circles are similar to each other.(2 points)

1 answer 3 months ago

The formula for the circumference of a circle is C=πd 𝐶 = 𝜋 𝑑 , where C= 𝐶 = circumference and d= 𝑑 = diameter. It can also be defined as C=2πr 𝐶 = 2 𝜋 𝑟 , where r= 𝑟 = radius. If 360 degrees =2π = 2 𝜋 radians, and the f...

1 answer 3 months ago

Consider a right-angled triangle with sides a=6 𝑎 = 6 and c=9 𝑐 = 9 . Determine whether these values form a Pythagorean triple. Show your steps and explain your answer. (2 points)

1 answer 4 months ago

In a right triangle, the acute angles have the relationship sin(x+12°)=cos(18°+2x) sin ⁡ ( 𝑥 + 12 ° ) = cos ⁡ ( 18 ° + 2 𝑥 ) . What is the value of x? What is the measure of the smaller angle? Use 1–2 sentences to explai...

1 answer 4 months ago

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