7. The revenue, in dollars, that eMathInstruction makes off its videos in a given day depends on how many views they receive. If

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.

Answer:

1) Determine the likelihood that a selected book is a nonfiction hard cover. P(N ∩ H) = 4/20

2) Calculate the probability of picking a hard-covered book. P(H) = 11/20

3) Compute the conditional probability. = 4/11

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1.) 4/20

2.) 11/20

3.) 4/11

Answer:

310

Step-by-step explanation:

The highest possible number is achieved when each household has just one appliance. When calculating the total, we find ...

60 + 85 + 70 + 95 = 310

The maximum possible number of families is 310.

Answer:

35.7 km and 248.3 °

Step-by-step explanation:

To clarify, I will include a diagram as an image.

We begin with the cosine law formula:

y² = 42² + 28² - (2 * 42 * 25 * cos 58 °)

y² = 2389 - 1112.83 = 1276.17

y = √1276.17

y = 35.72 km

Next, to find the bearing of the surveyor from her camp, we apply the sine law:

[(Sin 58 °) / y] = [(Sin A) / 42]

Here, A = (42 * sin 58 °) / 35.72

A = sin⁻¹ (0.9971)

A = 85.7 °

The bearing from the base camp now calculates to: 270 ° - (85.7 ° - 64 °) = 248.3 °