What is a31 of the arithmetic sequence for which a5=12.4 and a9=22.4

The midpoint of the line segment with endpoints (-6, -3) and (9, -7) is (1.5,-5).

21 minutes. Step-by-step explanation: Considering the following: Using CITY STREET: The duration to drive to the nearest bowling alley is 45 minutes, which is 0.75 hours. The travel speed is 30 miles per hour. Switching to FREEWAY: the travel speed here is 65 miles per hour. Assuming both routes cover the same distance, the time required on the FREEWAY will be as follows: The distance calculated using the city route results in 30 mph = distance / 0.75 hour, giving a distance of 22.5 miles. As the distance remains consistent: Time taken on the FREEWAY = distance / speed, which results in 22.5 / 65 = 0.3461538 hours. Converting to minutes = 0.3461538 × 60, which rounds to approximately 21 minutes.

The likelihood that Mary was the one who packed the dinner stands at 0.15625. To clarify, the probability of an event is defined as the chance that it will occur relative to the total possible outcomes. Let's analyze the problem at hand, which pertains to Conditional Probability. The formula we use generally is as follows: Let: The chance of John packing dinners without a salt packet is denoted as P(J), for Mary, it is P(M), and for Sue, it is P(S). Hence, if there's no salt in the dinner I purchased, the probability that Mary did the packing is calculated as follows.

B, the points E, F, and H are located at the bottom of the figure.

Answer:

Carmen's estimate is too low, since rolling 200 times results in a total of 50.

Step-by-step explanation:

Initially, we will define the sample space for this scenario.

The sample space is Ω = {1,2,3,4,5,6,7,8}

For the event A: "Rolling an 8-sided die to get a multiple of 4"

The probability for event A is

This is because there are two multiples of 4 (4 and 8) out of a total of eight numbers (1 through 8).

Next, considering the random variable X: "Total count of multiples of 4 if she rolls an 8-sided die 200 times"

X can be described as following a Binomial distribution.

X ~ Bi (n,p)

X ~ Bi (200,)

Where n is the number of rolls and p is the probability of success, defined as rolling a multiple of 4.

The mean for this variable is

Thus, we conclude that Carmen's prediction is low, as rolling 200 times yields 50.