Peter mixes 4 1/4 cups of orange juice, 2 1/4 cups of ginger ale, and 6 1/3 cups of strawberry lemonade to make some punch. What

C 35.64 I have previous experience with this.

The formula can be applied to determine the radius. Step-by-step explanation: The volume of the larger can is given by V=πr(r)h or V=πr²h. To isolate r, divide both sides by πh. Then, by applying the square root to both sides and substituting π with 3.14, the resulting equation will yield the radius.

Answer:

(a1) The chance that the temperature rises by less than 20°C is 0.667.

(a2) The probability of the temperature increase falling between 20°C and 22°C is 0.133.

(b) The likelihood that the temperature increase could be hazardous at any moment is 0.467.

(c) The anticipated value of the temperature rise is 17.5°C.

Step-by-step explanation:

Let X denote the temperature increase.

The random variable X is distributed uniformly over the interval [10°C, 25°C].

The probability density function for X is shown here:

(a1)

The probability of the temperature increase being under 20°C can be calculated as follows:

Consequently, the chance that the temperature increase will be below 20°C is 0.667.

(a2)

The probability of the temperature rise being in the range from 20°C to 22°C is computed as follows:

This leads to the probability of the temperature increase being between 20°C and 22°C being 0.133.

(b)

To find the probability that the increase in temperature could be dangerous, we calculate:

This results in a probability of 0.467 that the temperature rise is potentially dangerous at any time.

(c)

The expected value of the uniform random variable X is determined as follows:

The expected value for the temperature increase computes to 17.5°C.

I arrived at 46,000 by taking 2,300 and dividing it by 5, resulting in 460, and then multiplying that by 100