Three main methods come to mind: Substitution method, Elimination method, Matrix row-reduction.The first two methods are taught in early grades in most high schools. Matrix row-reduction is taught in senior years in high school, or more likely, in the early years of a university math or science program.

8 0

4 years ago

Use the Distributive Property to expand this expression.

viktelen [127]

Answer:

C is the correct answer

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

In a given year, the population of Metro City is 7420, and the population is decreasing by 152 people per year. The population o

Anit [1.1K]

Answer:

The correct option is D.

Step-by-step explanation:

Let x denote the years.

The information provided is:

The population of Metro City is 7420.
The population is decreasing by 152 people per year.
The population of Smallville is consistently 1200 less than half of Metro City.

From the provided data derive the equation for the population of Smallville x years after as follows:

$Y = [\frac{1}{2}\cdot (7420-152x)]-1200$

The population of Smallville is 2282 after x years.

Compute the value of x as follows:

$2282= [\frac{1}{2}\cdot (7420-152x)]-1200$

$\frac{7420-152x}{2}=2282+1200\\\\7420-152x=3482\times 2\\\\152x=7420-6964\\\\152x=456\\\\x=3$

Thus, the time it will take for Smallville's population to reach 2282 is 3 years.

The correct option is D.

7 0

4 years ago

A manufacturing firm tests job applicants. Test scores are normally distributed with a mean of 500 and a standard deviation of 5

Blababa [14]

Answer:

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = 0.0228

Step-by-step explanation:

Step(i):-

Given mean of the Population = 500

Given standard deviation of the Population = 50

Let 'X' be the random variable in normal distribution

Given X = 600

$Z = \frac{x-mean}{S.D} = \frac{600-500}{50} = \frac{100}{50} =2$

Step(ii):-

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = P(z≥2)

= 0.5 - A(2)

= 0.5 -0.4772

= 0.0228

Final answer:-

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = 0.0228

5 0

3 years ago