What is the standard form equation of the line shown below? Graph of a line going through negative 3, negative 1 and 3, 2 y + 1 = one half(x + 3) y = one halfx + five halves −x + 2y = 1 x − 2y = −1

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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Answer:

30

Step-by-step explanation:

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.

Answer:

The answer is 1.

Step-by-step explanation:

Took the test.

Answer:

Length = 78 feet

Width = 36 feet

Step-by-step explanation:

Answer:

The equation that represents the relationship between the number of tigers and the total number of square feet of space is f = 1,000t.

Step-by-step explanation:

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 coordinates of the point are x=3 / 4, y = 3 / 4, and z = 3 for the plane.

A plane is a two-dimensional Euclidean surface that extends indefinitely in mathematics. A plane is the two-dimensional equivalent of a point, a line, and space.

Given that the points are x = 3t, y = 3t and z = 4t. The equation of the plane is 6x + 6y -8z = 1.

Substitute the value of x,y, and z in the equation and solve for the value of 't'.

6x + 6y -8z = 1.

6 x 3t + 6 x 3t - 8 x 4t = 1

18t + 18t - 32t = 1

4t = 1

t = 1 / 4

The coordinates will be calculated as,

x = 3t = 3 x 1 / 4= 3 / 4

y = 3t = 3 x 1 / 4= 3 / 4

z = 4t = 4 x 3 / 4 = 3

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

divide:

198/18 = 11

he made $11 per hour

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

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.

add the 2 numbers together

40 + 90 = 130 degree range

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.

The quadratic equation x^2 - 4x + 4 = 0 has one real number solution, x = 2, which is a repeated solution since the discriminant of the equation is zero.

To determine the number of real number solutions for the equation x2
- 4x + 4 = 0, we can use the discriminant method. The discriminant D of a quadratic equation ax2 + bx + c = 0 is given by b2 - 4ac. For our equation, a = 1, b = -4, and c = 4.

Calculating the discriminant gives us D = (-4)2 - 4(1)(4) = 16 - 16 = 0. Since the discriminant is equal to zero, it indicates that there is exactly one real number solution, which means the quadratic has a perfect square trinomial, or the two real solutions are identical.

In this case, the solution to the equation can be found by factoring the quadratic as (x - 2)2 = 0, which implies that x = 2. Therefore, the equation x2 - 4x + 4 = 0 has one real solution, x = 2, which is repeated.