A pet store has 32 more dogs than cats. If there are a total of 144 dogs and cats altogether, then how many cats does the pet st

Answer:

3) One-sided, compare two populations

Step-by-step explanation:

A manufacturer intends to evaluate if there is an improvement in the average gas mileage among mid-sized sedans that use a new type of tire, in comparison to those that do not utilize this tire type.

Thus, we have two distinct populations:

Population 1: Mid-sized sedans equipped with the new tire.

Population 2: Mid-sized sedans without the new tire.

Consequently, a comparison is being made between these two populations.

Furthermore, the manufacturer aims to determine if there is an enhancement in average gas mileage. As such, the alternative hypothesis will be right-tailed, indicating it is a one-sided test.

Answer:

Option D) 7.90 g and 8.12 g

Step-by-step explanation:

The details provided in the question are:

Mean, μ = 8.01 g

Standard Deviation, σ = 0.06 g

The weights are distributed in a bell-shaped normal distribution.

Formula:

We need to determine the value of x for which the probability is 0.03.

P(X > x)  

Using the standard normal z table, we find that,

Thus, the value of 8.17 g separates the upper 3% of the weights.

P(X < x)  

From the standard normal z table, we derive,

Consequently, 7.90 separates the lower 3% of the weights.

Option D) 7.90 g and 8.12 g

This question reveals an intriguing pattern.

The rule or pattern to follow here is:

For the left side of the number compared to its predecessor: (First digit x Third digit + 1)

For the right side: (Second digit x Fourth digit -1)

For instance, consider 6447. Next, let's examine its previous number, 9876.

Now, and

that's how we arrived at 6447

Next, for the third number, 2527, let's look at its previous number, 6447

Now,

and

that's how we reached 2527

Following the same reasoning, the missing number should be 534.

This conclusion came from applying the rule of the pattern as:

and

Thus, we derived 534.