use a table, an equation, and a graph to represent:sue swims 1.5 laps per minute

The probability of getting a 7 is 1/13 and a black card is 1/2.

Given that

A deck of cards contains 52 cards

The total number of 7's are 4 cards

The total number of black cards is 26

A) Probability of getting a 7 = Total number of 7 / Total cards

Probability of getting a 7  = 4/52

Probability of getting a 7  = 1/13

B) Probability of getting a Black card = Total number of Black cards/ Total cards

Probability of getting a Black card = 26/52

Probability of getting a Black card = 1/2

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The probability of getting a 7  [tex]\frac{1}{13}[/tex] and a black card is [tex]\frac{1}{2}[/tex].

What is a Probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.

A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.

Probability theory, which is widely used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.

Given that

A deck of cards contains 52 cards

The total number of 7's are 4 cards

The total number of black cards is 26

A) Probability of getting a 7 = Total number of 7 / Total cards

Probability of getting a 7  = 4/52

Probability of getting a 7  = 1/13

B) Probability of getting a Black card = Total number of Black cards/ Total cards

Probability of getting a Black card = 26/52

Probability of getting a Black card = 1/2

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Answer:

6

explanation:

divide the 4.5 pounds of sunflower seeds by the 0.75 pounds of sunflower seeds

4.5/0.75= 6

Answer:

6 because 4.5 divided by 0.75 equals 6.

Step-by-step explanation:

X = 7  divid both sides

8x = 56

8x/8 and 56/8 .





The perimeter of television is = 100 inches

The study of measuring geometric shapes and their qualities such as length, volume, shape, surface area, lateral surface area, and so on is known as mensuration. Mensuration will be covered in fundamental mathematics.

let the length be 16x and width be 9x

area given = 576 sq. inches

16x * 9 x = 576

144 [tex]x^{2}[/tex] = 576

x = 24/12

x = 2

length = 32

width = 18

perimeter = (32 + 18)*2  =100 inches

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Total amount will be $1520.53(approx.)

What is Compound Interest?

Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one.The formula is,

A = P(1 + r/n)^(n*t)

Given,

principle P = $900

rate r = 6%

time t = 10 years

Put these values in formula, i.e, A = P(1 + r/n)^(n*t)

A = 900 * ( 1 + 6/100)^10

   = 900 * (106/100) ^ 10

After solving we get, A = $1520.53

Therefore, the total amount will be $1520.53(approx.)

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The total volume of water in the two jugs​ is 3.55 liters.

Given,

Jug A has 2.17 liters of water

Jug B has 0.79 liters less than jug A.

Solution:

Since jug B has 0.79 liters less than jug A.

Jug B = 2.17 - 0.79

= 1.38 litres

The total volume of water in the two jugs​ = 2.17 liters + 1.38 liters

The total volume of water in the two jugs = 3.55 liters

Therefore, the total volume of water in the two jugs​ is 3.55 liters.

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You have not provided the contents of any of the drop-down menus, so we cannot say for certain what the answers should be--except in the case of "infinitely many solutions.

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

Based on the given conditions,

(1) No solutions :

There will be no solutions when the left side is inconsistent with the right side:

2x + 9 + 3x + x =  _ x + _

We can sum of difference,

6x + 9 = 6x

Subtract 6x from both sides,

6x - 6x = -9

9 = 0

9 = 0 which is absurd and hence the equation has no solution.

(2) One solutions :

There will be one solution when the left side and right side are not inconsistent and not the same.

2x + 9 + 3x + x = 15

6x + 9 = 15

Subtract 9 from both sides.

6x = 6

Divide both sides by 6.

x = 1 and this is the only solution.

(3) Infinity solutions :

There will be an infinite number of solutions when the equation is true for any value of x. This will be the case when the left side and right side are identical.

2x + 9 + 3x + x = 6x + 9

6x + 9 = 6x + 9

Subtract 6x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

Therefore,

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

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bike ride is 3.75 miles, or 4.5ml is

3.75/.3 (or 4.5/x.36) (or x 1).

Timing is 0.3 hours.

Speed = Distance / Time Speed = 3.75 x 0.3 = 12.5 mph.

2) Speed is 12.5 mph, and the distance is 4.5 miles.

Time = Distance * Speed.

Time = 4.5 * 12. 5 = 0.36 hours.

It takes 0.36 hours to travel 4.5 miles.

How is the speed per hour determined?

Speed is calculated as follows: speed = distance / time. Knowing the units for distance and time is necessary to calculate the units for speed. The units in this example will be meters per second (m/s), since the distance is measured in meters (m) and the time is measured in seconds (s).

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Answer:

32 square units

Step-by-step explanation:

A plot of the points shows that PQRS is a rectangle.

The length of this is the distance of the segment PQ = distance of segment RS = 6.4 units

The width QR = width PS = 5 units

The area is 5 x 6.4 = 32 square units

Lengths are calculated as follows

Finding length of PQ using distance formula:
[tex]\overline{PQ} = \sqrt{(4-0)^2 + ((7-2)^2}\\\\= \sqrt{4^2 + 5^2}\\\\= \sqrt{16 + 25}\\\\= \sqrt{41}\\\\= 6.4\\[/tex]

Finding length of QR using distance formula:
[tex]\overline{QR} = \sqrt{8-4)^2 + (4 - 7)^2}\\\\= \sqrt{4^2 + (-3)^2}\\\\= \sqrt{16 + 9}\\\\=\sqrt{25}\\\\= 5\\[/tex]

Tables can help to see patterns in data. Tables make the most difficult problems much easier. These are the advantage to using tables.

The reader can immediately examine the results by using tables to organize data that is too complex or detailed to be fully described in the text. By omitting numerical data from the text, they can be used to highlight trends or patterns in the data and to improve the readability of manuscripts. A table is a way to organize information or data, usually in rows and columns but sometimes with more complicated structures. In research, communication, and data analysis, tables are frequently employed. Large amounts of numerical or statistical data can be efficiently and effectively represented using scientific tables and graphs. In contrast to reading a verbose description of the information, readers are frequently drawn to tables and figures because they view them as being easier to understand.

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Answer:

solution is v=6

Step-by-step explanation:

8=8(v-5)

1. expand the brackets

8=8v-40

2. get the v on one side so we +40 on each side

48=8v

3. divide each side by 8 as we want the value of v not 8v

6=v

4. Therefore your final answer is v=6 (solution is 6)

Answer:

y = x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 1 , then

y = x + c ← is the partial equation

to find c substitute (2, - 1 ) into the partial equation

- 1 = 2 + c ⇒ c = - 1 - 2 = - 3

y = x - 3 ← equation of line

Finding the numeric value of the function, the time it will take to read a book of 218 pages is given by:

196.2 minutes.

To find the numeric value of a function, we replace each instance of the variable in the function or in the expression by the desired value in which we want to find the numeric value.

In the context of this problem, the function is given by:

y = 4.5x/5

In which the meaning of the variables is given by:

For a book of 218 pages, the time is found calculating the numeric value at x = 218, that is, replacing the lone instance of x in the function by 218, hence it is given by:

y = 4.5 x 218/5 = 196.2 minutes.

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heared about meet, wxa szcx ewn

The cost of the first hundred copies is $5

The cost of each additional copy is $0.02

The first step is to form a system of equation using the information that is provided in the question:

100a + [(200 - 100)b] = 7

100a + 100b = 7 equation 1

100a + [(310 - 100)b] = 9.20

100a + 210b = 9.2 equation 2

Where:

The two equations formed above would be solved using the elimination method.

Subtract equation 1 from equation 2

110b = 2.2

Divide both sides of the equation by 110: b = 2.2 / 110

b = 0.02

Substitute for b in equation 1:

100a + 100(0.02) = 7

100a + 2 = 7

Combine similar terms: 100a = 7 - 2

Add similar terms: 100a = 5

Divide both sides of the equation by 100 : a = 5 / 100

a = 0.05

Cost of the first hundred copies = $0.05 x 100 =  $5

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Kylie gets an interest of $214.48.

What do you mean by interest?

In the fields of finance and economics, interest is the payment of a sum over and above the principle amount to a lender or depositor by a borrower or deposit-taking financial institution at a set rate. Interest is not the same as a charge that the borrower could pay to the lender or another entity. Additionally, it differs from a dividend, which is a payment made to shareholders from a company's profit or reserve, but not at a set rate predetermined in advance, but rather on a pro rata basis as a portion of the rewards received by risk-taking business owners when revenue earned exceeds all costs. In contrast to profit, which is obtained by the owner of an asset, investment, or business, interest is paid to the lender.

Interest earned by Kylie = (55x7)/(100x12) x 681

                                         = 218.48

Hence, Kylie gets an interest of $218.48.

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The equation of the straight line is 2y - x +3 = 0 .

A straight line's general equation is y = mx + c, wherein m denotes the line's slope and c its y-intercept.

Let us calculate the slope of the line:

slope = (2-6)/(7-(-1))

m= 1/2

Equation of the line =

y - 2 = 1/2 (x-7)

or, 2y -4 = x - 7

or, 2y - x +3 = 0

Therefore the equation of the line is 2y - x +3 = 0.

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Constant of proportionality  : [tex]\frac{1}{3}[/tex]

Equation: y = ka

How are the values calculated?

a: 2, 3, 10, and 12

y: 2/3, 1, 10/3, and 4

Let the constant of proportionality = k

If x and y are directly proportional ,

We know , k = [tex]\frac{y}{x}[/tex]

Here, k = [tex]\frac{y}{a}[/tex]

Considering y = 2/3 and a =2

k =   [tex]\frac{2}{3*2}[/tex] =   [tex]\frac{2}{6}[/tex]  =  [tex]\frac{1}{3}[/tex]

Thus, the constant of proportionality ( k) =  [tex]\frac{1}{3}[/tex]

The equation y is given by ,

y =  ka

Let us verify,

For k = 1/3 and a = 12

[tex]y=\frac{1}{3} *12\\\\y=4[/tex]

Thus the equation is y = ka

What is constant of proportionality?

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Answer:

42

Step-by-step explanation:

We set it equal since the equations are equivalent

2x-27=x+15

2x=x+42

X=42

Hopes this help please mark brainliest

Answer:

F=(9C/5)+32

Step-by-step explanation:

In the image

it D  that the fertilizer with the urea supplement is more effective than the fertilizer without it.

A histogram is the way of representation of data that is utilized to appear the frequency distribution utilizing the rectangle comparable to a bar graph. in order to decide which fertilizer is superior for plant development Farmers conducted a survey consisting of one fertilizer containing an urea supplement, whereas the other does not contain a urea supplement. in which they haphazardly chose 20 plants of the same species developing in their region. ten out of 20 on which the urea-enhanced fertilizer was applied and the rest with the non-urea fertilizer on the other 10 plants.  So After three months At just the beginning of the month, 4 plants showed normal development with the urea supplement, whereas as it were 2 plants appeared to this development when urea isn't supplied. for the second month, 7 plants showed normal development with urea supplement, whereas  4 plants appeared this growth when urea isn't supplied and in the last month of the experiment, 5 plants showed over normal development.

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The values of the variables are :

10. x = 8 and y = 9

11.  x = 20 /9 and y = - 7/ 9  

12.  x = 3.08 and y = 4x = 12.32

10 . Given equations are ; 7x -5y = 11 ------- equation 1

and y = x + 1

On substituting this value in equation 1

we get 7x - 5 ( x + 1) = 11

7x - 5x - 5 = 11

2x = 16

x = 8 and thus y = 8 + 1 = 9

11. Given equations are : 5x - 4y = 22

x = y+ 3

On again substituting the values we get

5y + 15 - 14 y = 22

- 9 y = 7

y = - 7/ 9 and x = 20 / 9

12. Given equations are 3x + 8y = 108

and y = 4x

On again substituting equations we will get

3x + 32x = 108

35 x = 108

x = 108 / 35

x = 3.08 and y = 4x = 12.32

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The missing length of the right triangle is found to be

For the given question;

The area of the right triangle is 112.7 cm².

The base of the right triangle is 16.1 cm.

The formula for finding the area of the triangle is-

Area = ¹/₂ base × height

Height = 2 area/ base

Put the values,

Height 'P' = 2 × 112.7 / 16.1

Height 'P' = 14

Thus, the missing side 'P' of the right triangle is found as 14 cm.

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The coordinates of g are (-4, 9).

So, the midpoint is given as (1, 3.5).

Then,

So,

And,

Therefore, the coordinates of g are (-4, 9).

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After 7.5 years will the balance of the account be $15,478.

Given:

fabiana opened a savings account with $14,200 that earns 1.2% simple interest annually.

here A = 15478 , p = 14,200 , r = 1.2%

Simple interest formula:

A = p(1 + rt)

15478 = 14,200(1 + 1.2%t)

15478 = 14,200 + 14,200(0.012t)

1278 = 170.4t

t = 1278/170.4

t = 7.5 years

Therefore after 7.5 years will the balance of the account be $15,478.

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Answer:

x = 3

Step-by-step explanation:

We are given an equation in function notation and asked to solve for x. We can do this by isolating the variable.

Solving for x

First, substitute 17 into the equation for f(x).

Now, we can isolate the x-variable by adding 4 to both sides.

Then, divide both sides by 7.

This means when f(x) = 17, x = 3.

Checking the Answer

Now that we have solved for x, we can check the answer we got. Plug 3 into the original equation for x and see if the equation remains true.

Since 17 = 17 is a true statement, the answer x = 3 must be correct.

Using the surface area of a rectangular prism, we can conclude that the maximum width Jaxon can build the table is (D) w = 3.5 ft.

So, the maximum width can be:

Where, h = 2 feet and l = 4 feet.

(A) When, width = 8.3 feet

Hence, this option is not correct.

(B) When, width = 1.1 feet

Hence, we need to check more options as it is within the budget of $29.

(C) When, width = 7.2 feet

Hence, this option is not correct.

(D) When, width = 3.5 feet

Hence, this is the perfect option.

Therefore, using the surface area of a rectangular prism, we can conclude that the maximum width Jaxon can build the table is (D) w = 3.5 ft.

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Answer:

7/5 I believe, hope this helps!

The most appropriate choice for expectation will be given by-

Expected value for someone who buys the ticket = $[tex](-1591.2)[/tex]

What is expectation?

At first it is important to know about probability of an event.

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Suppose x is a random variable with the probability function f(x). suppose

[tex]x_1. x_2,........,x_n[/tex] are the values corrosponding to the actual occurance of the event and [tex]p_1, p_2.,,,, p_n[/tex] be the corrosponding probabilities.

Expectation is given by the formula [tex]p_1x_1+p_2x_2+...+p_nx_n[/tex]

Here,

Total number of tickets = 832

Number of prized tickets = 1

Probability of winning a ticket = [tex]\frac{1}{832}[/tex]

Probability of losing a ticket = [tex]\frac{831}{832}[/tex]

Gain of winning = $(1600 - 5) = $1595

Loss of losing = $(5 - 1600) = -$1595

Expected value for someone who buys the ticket

[tex]1595 \times \frac{1}{832} + (-1595)\times \frac{831}{832}[/tex]

[tex]1595\times(\frac{1-831}{832})\\-1595\times \frac{830}{832}\\[/tex]

$[tex](-1591.2)[/tex]

Expected value for someone who buys the ticket = $[tex](-1591.2)[/tex]

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