Example 3: using the multiplication rule for independent events
a number cube has faces numbered 1 through 6, and a coin has two sides, heads and tails. the number cube will be rolled, and the coin will be flipped. find the probability that the cube
shows a 4 and the coin lands on heads. because the events are independent, we can use the multiplication rules we just learned.
if you toss the coin five times, what is the probability you will see a head on all five tosses?
if you tossed the coin five times and got five heads, would you think that this coin is a fair coin? why or why not?
if you roll the number cube three times, what is the probability that it will show 4 on all three throws?
if you rolled the number cube three times and got a 4 on all three rolls, would you think that this number cube is fair? why or why not?
suppose that the credit card company introduced in exercise 1 states that when a customer is selected at random, the probability that the customer pays his bill in full each month
is 0.35, the probability that the customer makes regular online purchases is 0.83, and these two events are independent. what is the probability that a randomly selected customer pays
his bill in full each month and makes regular online purchases?

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

answer. d.289 hope that