PLZ PLZ HELP
Which graph represents the solution set of the system of inequalities?

{y<2/3xy≥−x+2

divide:

198/18 = 11

he made $11 per hour

 so it's False, he did not make $12 per hour

Answer:

Length = 78 feet

Width = 36 feet

Step-by-step explanation:

Based on the information given the new balance is $2,408.48.

First step is to calculate the finance charge

Finance charge=2,103.24×(0.144÷12 months)

Finance charge=2,103.24×0.012

Finance charge=25.24

Second step is to calculate the New balance

New balance=2,103.24+25.24+280

New balance=$2,408.48

Inconclusion the new balance is $2,408.48.

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add the 2 numbers together

40 + 90 = 130 degree range

Hello : let  A(3,0)    B(0,-5)
the slope is :   (YB - YA)/(XB -XA)
(-5-0)/(0-3)  = 5/3

Answer:

Option C. 4 units

Step-by-step explanation:

As we know median of a triangle intersect each other at a point in the ratio of 2.01.

Therefore, in Δ QNL,

[tex]\frac{NS}{SR}[/tex] = [tex]\frac{2}{1}[/tex]

[tex]\frac{(7x-3)}{(5x-3)}[/tex] = [tex]\frac{2}{1}[/tex]

By cross multiplication

(7x - 3) = 2(5x -3)

7x - 3 = 10x - 6

6 - 3 = 10x - 7x

3 = 3x

x = 1

Now length of NS

= (7x - 3)

= (7 × 1 - 3)

= (7 - 3)

= 4 units

Option C. 4 units is the answer.

The equation of the circle is: is (x - 4)² + (y - 4)² = 16 Option A

To find the equation of a circle tangent to the x-axis at (4, 0) and tangent to the y-axis at (0, 4)

Let's use the general form of the equation for a circle:

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle, and r is the radius.

The center of the circle is (4, 4) because it's tangent to both the x-axis and y-axis at 4.

The radius can be found by the distance from the center to the point (4, 0) (which is on the x-axis):

r = √((4 - 4)² + (0 - 4)²) = √(0 + 16) = √16 = 4

So the equation of the circle is:

(x - 4)² + (y - 4)² = 4²

(x - 4)² + (y - 4)²= 16

The correct option is: a) (x - 4)² + (y - 4)² = 16

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The width of the rectangle will be 6 meters.

What is mean by Perimeter ?

The perimeter of any quadrilateral is the sum of all sides of a

quadrilateral .

Given that;

The length of a rectangle is 3 meters less than 3 times the width.

The perimeter of a rectangle = 42 meters.

Now,

Let the width of a rectangle = x meter

Then, By condition The length of a rectangle is 3 meters less than 3 times the width.

We get;

The length of the rectangle = ( 3x - 3 ) meters

Since,

The perimeter of a rectangle = 2 (  Length + Width )

Here, The perimeter of a rectangle = 42 meters.

Now, After substitute all the values we get;

The perimeter of a rectangle = 2 (  Length + Width )

The perimeter of a rectangle = 2 ( 3x - 3 + x)

42 = 2 ( 4x - 3)

42 = 2 (4x - 3)

Solve for x as,

Divide by 2;

21 = 4x - 3

Add 3 both side;

21 + 3 = 4x - 3 + 3

24 = 4x

Divide by 4, we get;

x = 24/4

x = 6

Thus, The width of a rectangle = 6 meters.

Therefore, The width of the rectangle will be 6 meters.

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400 is the correct answer. I am too lazy to put an explanation, but trust me it's not 800, I just got it wrong.

To determine the number of observations below 24 in the given data set with a five-number summary, we find 25% of 33, yielding 8 observations.

To find the number of observations strictly less than 24, we need to understand the structure of the five-number summary: minimum (12), Q1 (24), median (38), Q3 (51), and maximum (69).

Since Q1 (24) represents the 25th percentile, it indicates that 25% of the observations lie below 24. Therefore, the number of observations strictly less than 24 is 25% of the total number of observations.

Given that there are 33 unique observations, we calculate 25% of 33 as:

[tex]\[ \text{Number of observations} = \frac{25}{100} \times 33 = 8.25 \][/tex]

As we can't have a fraction of an observation, we round down to the nearest whole number. Therefore, there are 8 observations strictly less than 24.

Hence, 8 observations are strictly less than 24 in the given data set.

This calculation involves understanding the position of Q1 in the data set and applying the concept of percentiles to determine the number of observations below a certain value.

The question probable maybe:

Given a data set consisting of 33 unique whole number observations, its five-number summary is: 12, 24, 38, 51, 69

How many observations are strictly less than 24 ?

1. The range of the data is 30.

2. The number of observations strictly less than 20 is the count of observations is 16.

3. Based on the IQR method, there are no outliers in the data.

Let's address each question one by one:

1. Range of the data:

The range of the data is the difference between the maximum and minimum values in the dataset. From the five-number summary given, we have:

Maximum = 46

Minimum = 16

So, the range is:

[tex]\[ \text{Range} = \text{Maximum} - \text{Minimum} = 46 - 16 = 30 \][/tex]

Therefore, the range of the data is 30. Hence, the correct answer is D. 30.

2. Observations strictly less than 20:

From the five-number summary, we know that 20 is the second quartile (median) of the dataset. Observations strictly less than 20 would fall in the first quartile. Therefore, we need to find the number of observations below the first quartile.

Given:

First Quartile = 16

Observations strictly less than 20 = Number of observations below the first quartile.

So, the number of observations strictly less than 20 is the count of observations below the first quartile, which is 16.

Now, for the third question:

To determine if outliers are present in the data, we can use the Interquartile Range (IQR) method.

The Interquartile Range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1).

[tex]\[ \text{IQR} = Q3 - Q1 \][/tex]

Any data point that falls below [tex]\( Q1 - 1.5 \times \text{IQR} \) or above \( Q3 + 1.5 \times \text{IQR} \)[/tex] is considered an outlier.

Given:

Q1 = 1.1

Q3 = 4.3

[tex]\[ \text{IQR} = Q3 - Q1 = 4.3 - 1.1 = 3.2 \][/tex]

Therefore, the lower bound for outliers is [tex]\( 1.1 - 1.5 \times 3.2 = -3.7 \)[/tex] (which is not relevant in this context), and the upper bound for outliers is [tex]\( 4.3 + 1.5 \times 3.2 = 9.9 \).[/tex]

Looking at the summary statistics:

- The minimum value is 0.3, which is within the range.

- The maximum value is 10.5, which is also within the range.

Hence, based on the IQR method, there are no outliers in the data.

The smallest angle of rotational symmetry that maps a regular nonagon onto itself is 40 degrees. This is calculated by dividing the total 360 degrees of the nonagon by its number of sides, which is 9.

The smallest angle of rotational symmetry that maps a regular nonagon onto itself is obtained calculating the total 360 degrees of the nonagon divided by the total number of sides, which is 9.

Here is the step-by-step calculation: 360 degrees / 9 sides = 40 degrees

Therefore, the smallest angle of rotational symmetry for a regular nonagon is 40 degrees.

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Answer:

He spent a total of 22.85+28.57 = 51.42 % of his free time o internet and videogames.

Step-by-step explanation:

If Gary has 5 hours of free time per day, he has 5*7=35 hours of free time per week.

Now, in the case of internet:

[tex]\frac{35h}{8h}= \frac{100}{x}[/tex]

[tex]x= \frac{8*100}{35}[/tex]

x= 22.85% spent on internet.

In the case of videogames:

[tex]\frac{35h}{10h}= \frac{100}{x}[/tex]

[tex]x= \frac{10*100}{35}[/tex]

x= 28.57% spent on internet.

Answer:

30

Step-by-step explanation: