Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 mph, and the rest was along a hi

Utilizing the complement rule alongside the standard normal table or Excel, we arrive at the results. To summarize previous concepts, the normal distribution represents a symmetrical probability distribution centered around the mean, highlighting that values near the mean occur more frequently than those further away. The Z-score acts as a statistical measure that indicates a value's relation to the average of a dataset, expressed in standard deviations from the mean. In addressing the problem: Let X denote the random variable representing population heights, and we regard the distribution for X as stipulated. For a sample size of n = 64, since the distribution of X holds normality, so does the distribution of the sample mean. We aim to determine the following probability, utilizing the Z-score derived via the specified formula.

Response:

The probability that a student has a pet, given they do not have any siblings is:

Option: D ( 60%)

Step-by-step breakdown:

Let A represent the situation where a student lacks a sibling.

Let B signify the occurrence that a student has a pet.

Consequently, A∩B refers to the event in which a student is without siblings but possesses a pet.

Let P denote the chance of an event happening.

We need to determine:

P(B|A)

From our knowledge:

From the data provided:

P(A)=0.25

and P(A∩B)=0.15

Thus,

which expressed as a percentage is:

Therefore, the probability is:

60%

8/9 -----\ 8 -------\ 9 8.0.8 -------\ 9 80 -72 ------- 8 This procedure would continue indefinitely, so the answer is.8888888 repeating. Therefore, the result is 1 and 1/9 or 1.

Answer:

The original cost amounts to $10

Step-by-step explanation:

Let us denote the cost as x

where Price = x + (0.5x) = 1.50x

Now, the price after reduction is 20% of 1.50x

which is 0.3x

This leads to the equation 1.50x - 0.3x = 12

resulting in 1.2x = 12

which gives us x = 10

thus, the cost is $10