Which of the following steps were applied to abc obtain a'b'c'

Response:

4 A = 3B = 2 C, A, B, C

There are no further actions possible with this equation

Detailed explanation:

Answer:

Step-by-step explanation:

To find x, set the two expressions equal and solve:

8x + 11 = 12x - 1

11 = 4x - 1

12 = 4x

x = 3

The formula , where r! is defined as 1*2*3*...r

provides the total number of combinations for forming groups of r items from a collection of n items.

For instance, with 10 items, there are C(10,6) possible ways to create groups of 6 from these 10 objects.

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Choosing 4 individuals from a total of 12 can be accomplished in:

many different ways.

All unique groupings of 4 individuals, including the husband and wife pair, can be computed as C(10, 2) ways, since we only consider the potential selections of 2 from 10 individuals to form a group of 4.

Consequently, the probability that both the husband and wife are selected is 45/495=0.09


Part 2)

The chance that one gets selected while the other does not =

P(husband selected, wife not selected) + P(wife selected, husband not selected)

These two scenarios are precisely equal, so it suffices to compute one.


Let's analyze the scenario: husband chosen, wife not selected.

Assuming the husband is selected, we need to determine the possible formations of 3 from the 11 total excluding the wife=10 individuals.

This results in:

Hence,

P(husband selected, wife not selected)=120/495=0.24

Thus, the overall probability that one is picked while the other is not =

P(husband selected, wife not selected) + P(wife selected, husband not selected) =

0.24+0.24=0.48

Result:

A) 0.09

B) 0.48

Answer:

Part a) The unit rate of change of d with respect to t is equal to

Part b) The graph of the line corresponding to the attached diagram

Step-by-step explanation:

we know that

The relationship between the variables t and d depicts a proportional change if described in the form or

step 1

Determine the value of k

we have

substitute

so

the resulting linear equation equals

step 2

utilize a graph tool

plot the line

Answer:

Davide is 10 years old.

L'età di Davide è 10.

Step-by-step explanation:

The average ages of Aldo, Bruno, Carlo, and Davide amount to 16 years.

Let’s denote:

x for Aldo's age.

y for Bruno's age.

z for Carlo's age.

w for Davide's age.

The average for all four is 16 years.

This gives us:

Excluding Davide, the average age of the other three is 18. Therefore:

Substituting into the original equation:

Hence, Davide’s age is indeed 10.

L'età di Davide è 10.