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2 years ago

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A standard die is rolled. Calculate the following probabilities. Express your answer as a fraction in lowest terms. a) The numbe

r rolled is greater than 3. b) The number rolled is less than or equal to 3. C) The number rolled is a 6. Answer How to Enter 9 Points Keypad

1 answer:

saul85 [17]2 years ago

4 0

A).1/2(4,5,6)

B).1/2(1,2,3)

C).1/6(6)

Can I get brainliest please?

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Please help!!!! <br><br> If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Black_prince [1.1K]

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

$f(1) = 2$

Now, we find f(2) in function of f(1). So

$f(1+1) = f(1)^2 - 3$

$f(2) = f(1)^2 - 3 = 2^2 - 3 = 1$

Now, with f(2), we can find the value of f(3).

$f(2+1) = f(2)^2 - 3$

$f(3) = f(2)^2 - 3 = 1^2 - 3 = -2$

The value of f(3) is -2.

4 0

2 years ago

Find the common difference of the sequence shown.

larisa86 [58]

Answer:

1/6

Step-by-step explanation:

3 0

2 years ago

A dog is leashed to the corner of a house with a 20 ft long leash. How much running area does the dog have? Round your answer to

11111nata11111 [884]

Answer:

The dog's running area is approximately 942 feet².

Step-by-step explanation:

The dog is leashed to a fixed point, the leash has a length of 20 ft, therefore he can rotate around that point at the maximum distance equal to the length of the leash. This pattern forms a circle, but there is an obstruction, which is the corner of the house. This obstruction takes an arc of the original circle, so the running area of the dog is the area of the whole circle minus the area of the arc formed by the corner of the house.

$\text{dog's area} = \text{circle's area} - \text{arc's area}\\\\\text{dog's area} = pi*(20^2) - \frac{90}{360}*pi*(20^2)\\\\\text{dog's area} = \frac{270}{360}*pi*(400)\\\\\text{dog's area} = 942.477\text{ feet}^2$

The dog's running area is approximately 942 feet².

3 0

3 years ago

Evaluation: Flight of the Albatross

aev [14]

Answer:

Step-by-step explanation:

400/8=50

8 0

3 years ago

Read 2 more answers

What is the solution of 5/2-7= 3/4x+14,

Sidana [21]

Answer:

D) x = 12

Step-by-step explanation:

Given:

$\sf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 \implies \dfrac{10}{4}x-7=\dfrac{3}{4}x+14}$

1. Multiply both sides by 4

$\sf{4\left(\dfrac{10}{4}x-7\right)=4\left(\dfrac{3}{4}x+14\right)}\\\\\implies 10x-28=3x+56$

2. Subtract 3x from both sides

$\sf{10x-3x-28=3x-3x+56}\\\\\implies 7x-28=56$

3. Add 28 to both sides

$\sf{7x-28+28=56+28}\\\\\implies 7x=84$

4. Divide both sides by 7 to isolate the variable:

$\sf{\dfrac{7x}{7}=\dfrac{84}{7}}\\\\\implies x=12$

Learn more here:

brainly.com/question/27844194

3 0

1 year ago