# Find the volume of a cone with a base radius of 4 cm and a height of 6 cm. Write the exact volume in terms of it, and be sure to include the correct unit in your answer.

Can you explain how to calculate the volume of a cone with given dimensions of base radius and height? Step-by-step explanation: To calculate the volume of a cone, we can use the formula V = (1/3)πr²h, where V is the volume, π is the constant Pi, r is the radius of the base, and h is the height of the cone. Given the dimensions of a cone with a base radius of 4 cm and a height of 6 cm, we can plug these values into the formula: V = (1/3)(3.14)(4²)(6) Using a calculator, we can simplify this equation and get the volume of the cone: V = 33.51 cm³ Therefore, the volume of the cone is equal to 33.51 cm³.

# Brainliest, help NEEDED! Thank you in advance!! Appreciate you. Explain how you would use estimation to help solve this problem. Be sure to include the number sentence you would use to solve the problem. 51 + N = 106

The value of N is 55. Step-by-step explanation: To determine the value of N, you may subtract 51 from 106, resulting in 55. To verify the correctness of this result, you may add 51 to 55, which should ideally give you 106.

# If X and Y are independent and X follows Bernoulli distribution with probability of success 1/2, while Y follows Bernoulli distribution with probability of success 1/3, find: a) the probability mass function of X+Y b) the cumulative distribution function of X+Y c) the range of X+Y d) the expectation of X+Y e) the variance of X+Y f) the expectation of X⋅Y

a) P(X + Y = 0) = P(X = 0)P(Y = 0) = (1/2)(2/3) = 1/3 P(X + Y = 1) = P(X = 1)P(Y = 0) + P(X = 0)P(Y = 1) = (1/2)(1/3) + (1/2)(2/3) = 1/2 P(X + Y = 2) = P(X = 1)P(Y = 1) = (1/2)(1/3) = 1/6 b) F(0) = P(X + Y ≤ 0) = P(X = 0, Y = 0) = (1/2)(2/3) = 1/3 F(1) = P(X + Y ≤ 1) = P(X = 0, Y = 0) + P(X = 0, Y = 1) + P(X = 1, Y = 0) = 1/3 + (1/2)(1/3) + (1/2)(2/3) = 5/6 F(2) = P(X + Y ≤ 2) = P(X = 1, Y = 1) + P(X = 0, Y = 1) + P(X = 1, Y = 0) = (1/2)(1/3) + (1/2)(2/3) = 2/3 c) Range of X+Y is {0, 1, 2} d) E[X+Y] = E[X] + E[Y] = 5/6 e) Var[X+Y] = Var[X] + Var[Y] = (1/2)(1/2) + (1/3)(2/3) = 7/18 f) E[XY] = E[X]E[Y] = (1/2)(1/3) = 1/6

# How much is 173cm to inches?

68.11 inches.

# There is currently 9 inches of snow on the ground. With the thunderstorms today the snow will melt at a rate of 1.5 inches per hour. 1. Write an equation to represent this situation 2. What do the slave and y-intercept mean 3. After how many hours would all the snow be melted 4. Make a table of this situation to show when all the snow would be melted

| Hours | Snow (inches) | | ------|-------------- | | 0 | 9 | | 1 | 7.5 | | 2 | 6 | | 3 | 4.5 | | 4 | 3 | | 5 | 1.5 | | 6 | 0 | All of the snow will be melted after 6 hours.

# In a bagel shop that has onion bagels, poppy seed bagels, egg bagels, salty bagels, pumpernickel bagels, sesame seed bagels, raisin bagels, and plain bagels, how many ways are there to select six bagels if the order doesn't matter and repeats are acceptable?

There are 1716 ways to select six bagels.

# What is the value of y if sin(x+y) = 1/2 sin(x) + √(3)/2 cos(x)?

y = arcsin(-√(3)/2 cos(x) - 1/2 cos(y) sin(x)) - x

# What is the height of Tonya's scale model of a statue?

64 inches

# 8. Describe the triangle in the middle of the square. 50° 40°

The triangle in the middle of the square is a right triangle with angles measuring 50°, 40°, and 90°.

# Scientists are drilling a hole in the ocean floor to learn more about the Earth's history. Currently, the hole is in the shape of a cylinder whose volume is approximately 3500 cubic feet and whose height is 4.8miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)

6.77 feet