Plot the following numbers on a number line and order them from least to greatest
-2/3
5/8
-3/5
-1/2

The probability of drawing an odd numbered card (3, 5, 7, or 9) is 4/13

Number of odd number cards in a set is 4 those are (3, 5 , 7 , 9)

There are four sets present in playing card, so the number of odd numbered card is 4 x 4 = 16

Total number of card present = 52

We need to calculate the probability of drawing an odd numbered card

Probability of odd numbered card is = total odd numbered cards/ total cards

P(odd number) = 16/52  = 4/13

Therefore, the probability of drawing an odd numbered card (3, 5, 7, or 9) is 4/13

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Answer:

I just did this

histogram

stem-and-leaf plot

box-and-whisker plot

scatter plot

line graph

are all the "numerical" choices for recording data

Step-by-step explanation:

Bar and circle graphs compare things, or categories, while the rest involve numbers.

Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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Answer: 50 degress

Step-by-step explanation:

i guessed and got it correct

Answer:

\(y=\frac{1}{6}x-1\)

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope of the line and b is the y-intercept.

For this problem, the equation can be manipulated into the desired form:

\(2x-12y=12\\2(x-6y)=12\\\frac{2(x-6y)}{2}=\frac{12}{2}\\x-6y=6\\(x-6y)+6y=(6)+6y\\x=6+6y\\x=6(1+y)\\(\frac{1}{6})x=\frac{6(1+y)}{6}\\\frac{1}{6}x=1+y\\(\frac{1}{6}x)-1=(1+y)-1\\y=\frac{1}{6}x-1\)

Total profit - Total cost = Profit

The profit made is $1078.

Option C is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 7 = 8 is an equation.

We have,

The total profit, in dollars per day, after x days can be modeled by the function

R(x) = 3x³ – 21x² + 21x + 45.

The total cost, in dollars per day, after x days, can be modeled by the function

C(x) = x² – 2x – 3.

Now,

(R - C) (10):

= R(10) - C(10)

= 3x³ – 21x² + 21x + 45 - x² + 2x + 3

= 3x³ - 22X² + 23x + 48

= 3 x 1000 - 22 x 100 + 230 + 48

= 3000 - 2200 + 230 + 48

= $1078

Thus,

Total profit - Total cost = Profit

The profit made is $1078.

Option C is the correct answer.

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Answer:

6.2

Step-by-step explanation:

to fine the mean of numbers

1) add the given no.........3+5+6+7+9+6+8 which is 44

2)divide the result by the amount of the numbers....44/7

the answer will be 6.285.....

A statement which could be true for g is that: A. g(-13) = 20.

A domain can be defined as the set of all real numbers for which a particular function is completely defined.

Since the domain of this function is given by -20 ≤ x ≤ 5, it simply means that the value of x must between -20 and 5. Also, with a range of -5 ≤ g(x) ≤ 45, the value of x must between -5 and 45.

By extrapolating the function, we can deduce that:

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Complete Question:

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

A. g(-13) = 20

B. g(-4) = -11

C. g(7) = -1

D.g(0) = 2

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

There are 540 men living in the mini city.

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

Therefore, there are 540 men living in the mini city.

To check our answer, we can substitute x = 540 into our original equation:

540 + (540 + 150) = 1230

690 = 1230

This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.

We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

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Answer:

don't dout yourself

Step-by-step explanation:

never give up thanks for the free points

Answer:

Shorter leg = 2.5 ft.

Longer leg = 6.5 ft.

Step-by-step explanation:

a^2 + b^2 = c^2

Because the hypotenuse = 7 ft, a^2 + b^2 = 49

To represent the two legs, we can use x and x+4.

x^2 + (x+4)^2 = 49

Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.

Then, using the quadratic formula, we find that x = 2.5.

Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.

Answer:

Brand A  Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^

Answer:

4

Step-by-step explanation:

Answer:

The rate of change is 4

Step-by-step explanation:

The rate of change is the slope.

Since the equation is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = 4x-3

The slope is 4 and the y intercept is -3

Answer:

\(\textsf{1)} \quad f(2)=2\)

\(\textsf{2)} \quad 2f(x)=2x^2-2x\)

\(\textsf{3)} \quad f(2+h)=h^2+3h+2\)

\(\textsf{4)} \quad f(x+h)=x^2+2hx-x+h^2-h\)

Step-by-step explanation:

Given function:

\(f(x)=x^2-x\)

Question 1

To find f(2) substitute x = 2 into the given function:

\(\begin{aligned}\implies f(2) & = (2)^2-2\\& = 4-2\\& = 2\end{aligned}\)

Question 2

To find 2f(x) multiply the given function by 2:

\(\begin{aligned}\implies 2f(x) & = 2(x^2-x)\\& = 2x^2-2x\end{aligned}\)

Question 3

To find f(2 + h) substitute x = 2 + h into the given function:

\(\begin{aligned}\implies f(2+h) & = (2+h)^2-(2+h)\\& = (2+h)(2+h)-2-h\\& = 4+4h+h^2-2-h\\ & = h^2+4h-h+4-2\\& = h^2+3h+2\end{aligned}\)

Question 4

To find f(x + h) substitute x = x + h into the given function:

\(\begin{aligned}\implies f(x+h) & = (x+h)^2-(x+h)\\& = (x+h)(x+h)-x-h\\& = x^2+2hx+h^2-x-h\\& = x^2+2hx-x+h^2-h\end{aligned}\)

Approximately 456.3 feet of fence to surround the entire circular yard.

Now, For the amount of fencing needed to surround a circular yard, we have to calculate the circumference of the circle, which is the distance around the circle.

Since, The circumference of a circle is,

⇒ C = πd,

where, C is circumference, d is diameter,

Here, the diameter of the circular yard is 145 feet,

So the radius is half of that,

r = 145/2 = 72.5 feet.

So, Using the formula, we can calculate the circumference as:

C = πd

C = 3.14 x 145

C = 456.3 feet

Therefore, Approximately 456.3 feet of fence to surround the entire circular yard.

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1. Table 4 values shows a Linear function.

2. 6 seconds faster were the runner in Group 2 than runners in Group 1.

Linear function are those which are in the form of f(x) = x ( here the line is passing through the origin )

Also Linear function can be in the form of y = mx + c where 'm' is the slope of the given line and 'c' is constant.

1. In the table 4 we conclude that:

y = f(x)

f(2) = 4         -------- point is ( 2, 4)

f(4) = 6         -------- point is ( 4, 6)

f(6) = 8         -------- point is ( 6, 8)

f(8) = 10        -------- point is ( 8, 10)

for the points to be in a line their slope must be equal:

Slope of line from point (2, 4) and (4, 6):

Slope = ( y2 - y1 )/ (x2 - x1)

Slope = ( 6 - 4 )/(4-2)

Slope = 2/2 = 1

Similarly,

Slope of line from point (4, 6) and (6, 8):

Slope = ( 8- 6 )/(6-4)

Slope = 1

Same as for points (6, 8) and (8,10)

Slope = 1

here the slop of the all points are same, so they lie on a single line and forms a linear equation in form of y = mx + c.

Hence, Table 4 values shows a Linear function.

2.  Here we have given the data:

For group 1: 55 68 64 66 70

For group 2: 56 58 59 61 57

Average or Geometric mean :

Sum of all the observation / number of observation

Average for Group 1 = ( 55 + 68 +64 +66 + 70)/5

Average for Group 1 = 64.6

Average for Group 2 = (56 + 58 + 59 + 61 +  57)/5

Average for Group 2 = 58.2

Difference between the Average of group 1 and group 2: 6.4.

in whole number 6 seconds.

Hence,

6 seconds faster were the runner in Group 2 than the runners in Group 1.

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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Answer:

1/8 per hour

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Answer:

(x + 2)² + (y - 2)² = 3²

Step-by-step explanation:

Equation of a circle is (x - a)² + (y - b)² = r²,

where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.

So, we have (x - -2)² + (y - 2)² = 3²

subtract a minus means we add.

(x + 2)² + (y - 2)² = 3²

Answer:

Option (1)

Step-by-step explanation:

Properties of the angles of a rhombus:

1). Diagonals are perpendicular.

2). Opposite angles are equal in measure.

3). Diagonals bisect the angles at the vertices.

Given: m∠GJH = 18°

In ΔGJH,

m∠GJH + m∠GHJ + m∠JGH = 180°

m∠GJH + m∠GJH + m∠JGH = 180° [Since, ∠GJH ≅ ∠GHJ diagonals bisect the opposite angles and opposite angles are equal in measure]

2m∠GJH + m∠JGH = 180°

2(18)° + m∠JGH = 180°

m∠JGH = 180° - 36°

             = 144°

Since, opposite angles of a rhombus are equal,

m∠JGH = m∠JIH = 144°

Option (1) will be the answer.

Answer: It is B

Hope this helps have a good day. :)