Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the str

Answer: the likelihood of a randomly selected tire lasting exactly 47,500 miles is 0.067

Step-by-step explanation:

Since the expected lifespan of this tire brand follows a normal distribution, we will use the normal distribution formula:

z = (x - µ)/σ

Where

x = lifespan of the tire in miles.

µ = mean

σ = standard deviation

The given figures include,

µ = 40000 miles

σ = 5000 miles

The probability that a tire will last precisely 47,500 miles

P(x = 47500)

For x = 47500,

z = (40000 - 47500) / 5000 = -1.5

According to the standard normal distribution table, the probability associated with this z score is 0.067

Answer:

Kayla is right; the center constitutes a fixed point located at the sphere's core.

Step-by-step explanation:

Kayla is indeed correct, whereas Raymond is mistaken since a point itself cannot represent a radius; a radius is defined as the line segment stretching from the center to the surface.

The center is indeed the stable point positioned at the center of the sphere.

The average speed for his entire journey from York to Blackpool is about 61.41 km/h.

Here’s a breakdown of how we arrive at this:

The distance he travelled from York to Leeds is 45 km,

and the speed during that section was 54 km/h.

Therefore, the time taken to travel from York to Leeds is 45/54 hours (since Time = Distance/Speed).

Next, the distance from Leeds to Blackpool is 42 km,

and the time for that leg of the journey is 35 minutes, which is 35/60 hours.

This leads to the total duration for his trip as

hours.

The cumulative distance covered equals 45 + 42 = 87 km.

Thus, his average speed is calculated as:

The probability mass function of X equals 0.03. To clarify:
Assuming the requirement for winning is one side as heads and the opposing side as tails, the likelihood of both outcomes is 1/2 or 0.5. Thus, we can construct a graph to calculate all probabilities related to achieving heads. In this context, X indicates the dollar amounts won during the coin flips, while the probability of heads reflects the likelihood of each outcome and the potential winnings. The chances of winning decrease as the winning amount rises.

For Paul, the calculation is 2550 * 0.2 = 510. For Kevin, it's 2550 * 0.25 = 637.5. Justin's calculation is 2550 * 0.3 = 765. Lastly, David's portion, calculated as 2550 minus the others' contributions, results in 637.5.