Answer:
-6 + 3x = -9

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And 6 to both sides:

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3x = -3

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Divide by 3 on both sides:

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x = -1

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**Answer: x = -1**

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And 6 to both sides:

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3x = -3

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Divide by 3 on both sides:

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x = -1

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A business student at Nowledge College must complete a total of 65 courses to graduate. The number of busi-ness courses must be greater than or equal to 23. The number of nonbusiness courses must be greater than or equal to 20. The average business course requires a textbook costing $60 and 120 hours of study. Non-business courses require a textbook costing $24 and 200 hours of study. The student has $3,000 to spend on books.

Question 1 of 25Steps for solving 4(3x - 6) = 24 are shown.43x - 6) = 2412x - 24 - 2412x - 24+24 = 24 +2412x = 4812x4812 12X = 4Original EquationStep 1Step 2Step 3Step 4Step 5Which of these is not part of the solution process?O A. Adding 24 to both sides to isolate the variable termB. Using the distributive propertyE PREVIOUS

The midpoint of AB is M=(3, 1). One endpoint is A=(-1, -1).Find the coordinates of the other endpoint, B.

A distribution of measurements is relatively mound-shaped with a mean of 60 and a standard deviation of 14. Use this information to find the proportion of measurements in the given interval. between 46 and 74

A quality control inspector has drawn a sample of 15 light bulbs from a recent production lot. Suppose that 60% of the bulbs in the lot are defective. What is the expected value of the number of defective bulbs in the sample

Question 1 of 25Steps for solving 4(3x - 6) = 24 are shown.43x - 6) = 2412x - 24 - 2412x - 24+24 = 24 +2412x = 4812x4812 12X = 4Original EquationStep 1Step 2Step 3Step 4Step 5Which of these is not part of the solution process?O A. Adding 24 to both sides to isolate the variable termB. Using the distributive propertyE PREVIOUS

The midpoint of AB is M=(3, 1). One endpoint is A=(-1, -1).Find the coordinates of the other endpoint, B.

A distribution of measurements is relatively mound-shaped with a mean of 60 and a standard deviation of 14. Use this information to find the proportion of measurements in the given interval. between 46 and 74

A quality control inspector has drawn a sample of 15 light bulbs from a recent production lot. Suppose that 60% of the bulbs in the lot are defective. What is the expected value of the number of defective bulbs in the sample

**Answer:**

2/9

**Step-by-step explanation:**

The Poisson’s distribution is a discrete probability distribution. A discrete probability distribution means that the events occur with a constant mean rate and independently of each other. It is used to signify the chance (probability) of a given number of events occurring in a fixed interval of time or space.

In the long run, fraction of time that it rains = E(Number of days in rainy spell) / {E(Number of days in a rainy spell) + E(Number of days in a dry spell)}

E(Number of days in rainy spell) = 2

E(Number of days in a dry spell) = 7

In the long run, fraction of time that it rains = 2/(2 + 7) = 2/9

Given the parameters of the rainy spell and dry spell, the long-run fraction of time that it rains can be calculated by dividing the mean of the rainy days by the sum of the **average** rainy and dry days. Hence, it rains roughly 22.22% of the time in the long-term.

The question is asking about the long-run fraction of time that it rains, based on a rainy spell following a Poisson distribution with a mean of 2 days, and a dry spell following a **geometric** distribution with an average of 7 days, with the sequences being independent.

We are being asked to calculate the proportion of time that it rains in the long-run, given these distribution parameters. The Poisson and geometric distributions are often used in this type of probability assessment.

To tackle this, we need to divide the mean of the rainy days by the sum of the average rainy and dry days. Thus, the long-run fraction of time it rains is given by

So, in the long run, it rains roughly 22.22% (or 2/9) of the time.

#SPJ12

**Answer:**

Tyson's account will have $ 133.90 more than Ariana's account.

**Step-by-step explanation:**

In Tyson's case, he invests $ 2,500 in an account whose interest rate is 5.75% and is compounded annually. In turn, Ariana invests the same amount and for the same interest, but this is not compounded.

Thus, Ariana, at the end of her 6 years, will have a total amount in her account of $ 3,362.5 (((2,500 x 5.75 / 100) x 6) + 2,500), of which $ 862.5 will correspond to the interest generated.

Instead, Tyson's investment interests will be consolidated annually. Thus, in 6 years, this investment will evolve as follows:

-Year 1 --- 2,500 x 1.0575 = 2,643.75

-Year 2 --- 2,643.75 x 1.0575 = 2,795.76

-Year 3 --- 2,795.76 x 1.0575 = 2,956.52

-Year 4 --- 2,956.52 x 1.0575 = 3,126.52

-Year 5 --- 3,126.52 x 1.0575 = 3,306.29

-Year 6 --- 3,306.29 x 1.0575 = 3,496.40

Thus, at the end of the 6 years, Tyson will have $ 3,496.40 in his account. Thus, Tyson's account will have $ 133.90 more than Ariana's account.

**Answer:**

Patty, Karla, Cathy

**Step-by-step explanation:**

The **scoring percentage** of goals attempted can be computed by **dividing****goals made** by those **attempted**, then multiplying the result by 100%.

__

Cathy's rate is ...

27/54 × 100% = 50%

Karla's rate is ...

18/45 × 100% = 40%

Patty's rate is ...

given as 34%

__

By least to greatest scoring rate, the athletes are ...

** Patty (34%), Karla (40%), Cathy (50%)**

this figure to miles per galllon

**Answer:**

**22.11 miles per gallon**

**Step-by-step explanation:**

1 km = 0.621371 miles

1 litre = 0. 264172 gallon

Given

Mileage of car = 9.4 Milometers per liter of gasoline

Mileage of car = 9.4 Km/ litres

now we will use 0.621371 miles for Km and 0. 264172 gallon for litres

Mileage of car = 9.4 * 0.621371 miles/ 0. 264172 gallon

Mileage of car = 9.4 * 2.3521 miles/ gallon

Mileage of car = 22.11 miles/ gallon

**Thus, 9.4 Km/litres is same as 22.11 miles per gallon.**

b. y-y1=m(x-x1)

c. y1=mx1+b

d. Ax1+by1=C

e. y=mx+b

f. y1-y=m(x-x1)

Please explain why, if you can. Thanks! :)

The **equation of the line**, in **point-slope form**, is given by:

**Option b.**

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The **equation of a line**, in **point-slope form**, is given by:

In which

- m is the
**slope**. - The
**point**is . **Nonvertical line**means that- Thus, the
**correct option**is given by option**b.**

A similar problem is given at brainly.com/question/24144915

**Answer:**

b. y-y1 = m(x-x1)

**Step-by-step explanation:**

It's a matter of definition. There are perhaps a dozen useful forms of equations for a line. Each has its own name (and use). Here are some of them.

- slope-intercept form: y = mx + b
**point-slope form: y -y1 = m(x -x1)**- two-point form: y = (y2-y1)/(x2-x1)(x -x1) +y1
- intercept form: x/a +y/b = 1
- standard form: ax +by = c
- general form: ax +by +c = 0

Adding y1 to the point-slope form puts it in an alternate form that is useful for getting to slope-intercept form faster: y = m(x -x1) +y1. I use this when asked to write the equation of a line with given slope through a point, with the result in slope-intercept form.

The** equation** of **line** passing through points **(-4, 1)** and **(2, 3) **will be

**3y = x + 7**

An** inequality** in mathematics compares **two values** or **expressions, **showing if one is less than, greater than, or simply not equal to another value. The **general equation** of a straight line **inequality** is -

**[y] < [m]x + [c]**

**[y] > [m]x + [c]**

**[y] ≥ [m]x + [c]**

**[y] ≤ [m]x + [c]**

where -

**[m] → **is** slope** of line which tells the **unit rate** of change of [y] with respect to [x].

**[c] **→ is the **y - intercept** i.e. the point where the graph cuts the **[y] axis.**

The** equation **of a **straight line****inequality **can be also written as -

Ax + By + C > 0

By > - Ax - C

**y > (- A/B)x - (C/A)**

Given is **inequality's solution** graphed [Refer to graph attached].

The **inequality **whose** solution** is graphed is -

5x + 3 > 3

On solving -

5x + 3 > 3

5x + 3 - 3 > 3 - 3

5x > 0

x > 0

Therefore, the** inequality **whose** solution** is graphed is

**5x + 3 > 3**

(Refer the image attached, for reference)

To solve more questions on ** inequalities**, visit the link below -

#SPJ5

Here is the graph

The Answer is C) 5x + 3 > 3

The Answer is C) 5x + 3 > 3