A deck of cards was shuffled and after each shuffle, the suit of the top card was recorded. The table shows theprobability of each outcome. What is the probability that the top card is not a heart?

Answer:

6

Step-by-step explanation:

We can round $4.98 up to $5.

Then do $30 / $5 = 6

Go back and check if 6 works:

$4.98 × 6 = $29.88 which is less than $30.

So the answer is 6

Multiplication is not possible with so similar variables in the denominator, in the given fractions and hence the answer is incorrect.

So, -4y × 1/5y:

Theefore, multiplication is not possible with so similar variables in the denominator, in the given fractions and hence the answer is incorrect.

Know more about fractions here:

https://brainly.com/question/28933207

#SPJ13

Answer:

a. 4.2 - 2.8 = 1.4

b. 72.1 - 45.6 = 26.5

c. 82.2 - 41.3 - 29.2 = 11.7

d. 17.1 - 11.7 - 0.8 = 4.6

e. 29.2 - 12.5 - 0.9 = 15.8

f. 21 - 14 = 7

g. 71 - 37 - 18 = 16

h. 50 - 19 - 8 = 23

i. 92 - 57 - 16 = 19

j. 44 - 18 - 9 = 17

The solution of system of equation is x = 2 and y = 7. We should multiply first equation with 2 so that when we add the two equations, we csystem of equation an eliminate the variable y.

What is system of equation?

Two or more equations that share variables are said to be .

For instance, consider two equations where x and y are shared:

x + y = 6

3x + y = 2

We might be able to solve equations that have the same number of variables. Where the lines intersect in this case is the answer (1,5)

Given system of equation:

5x + 3y = 41,

3x - 6y = 9

Lets multiply the first equation with 2, we get

10x + 6y = 82

Adding these equation with second given equation we get,

10x +6y +(3x - 6y) = 82 + 9

13x = 91

x = 91/13

x = 7

putting the value of x in any one equation

3(7) -6y = 9

y = 2

Therefore, the x and y in the given system of equation are 7 and 2 respectively.

To know more about system of equation, go to link

https://brainly.com/question/13729904

#SPJ13

Based on the information provided about Arthur, we have the following:

In Mathematics, a graph can be defined as a type of chart that is commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate).

Distance simply refers to the amount of ground that is covered or travelled by a physical object (body) over a particular period of time and speed, irrespective of the physical object's direction, starting point, or ending point.

In conclusion, the distance covered by a physical object (body) over a particular period of time can be plotted by using a position-time graph as shown in the image attached below.

Read more on distance here: https://brainly.com/question/19384814

#SPJ1

Answer:

1)2/5

2)2/3

Hope this helps!

Answer:

1. m=2/5

2. m-2/3

Step-by-step explanation:

Answer:

1 answer

Step-by-step explanation:

when the terms are collected

[tex]4k = 0[/tex]

[tex]k = 0[/tex]

Answer:

The missing number is 3.

Step-by-step explanation:

1. For the sake of the equation, let's represent the missing number as y. Then write the equation: 4*7=(4*10)-4*y

2. Follow according to the order of operations, then you should get the result of 28=40-4y

3. Swap -4y and 28 in the equations: 4y=40-28 which goes to 4y=12.

4. Find y by dividing the rest of the equation by 4: y=3

The values of the angle x in the line segments is 40 degrees.

When parallel lines are are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.

Therefore, the line FG is parallel to line HI. The line segment BC and AD are the transversal lines that cut across the parallel lines FG and HI.

Therefore,

3x + 20 + x = 180 (Same interior angles)

Same interior angles are supplementary.  That is the angles sum up to 180 degrees.

Therefore,

3x + 20 + x = 180

4x + 20 = 180

4x = 160

divide both sides by 4

x = 160 / 4

x = 40 degrees

learn more on angles here: https://brainly.com/question/13873168

#SPJ1

Answer:

3 years and 6 months

Step-by-step explanation:

35 × 3= 105 + 17 = 122

2.916 a month × 6 = 17. 496. And round to the nears while number = 17.50 = 105 + 17.50 = 122.5 or 122.50 zero fir place holder.

Using the properties of equality, the value for m in the equation is: m = pV.

For any given equation, to solve for a variable in the equation, we have to isolate the variable to one side of the equation in order to determine its value. To do this, several properties of equality need to be applied to isolate the variable to one side of the given equation.

Given the equation, p = m/V, we need to isolate the variable m to one side of the equation in order to solve for m.

p = m/V

Multiply both sides of the equation by V

p × V = m/V × V [multiplication property of equality]

Simplify the equation:

pV = m

m = pV

Learn more about properties of equality on:

https://brainly.com/question/13260378

#SPJ1

Answer:

Explanation:

The diagram representing the two towers is given below:

Answer below and in attached graph Step by stepShow and explain:1) The rule for a rotation by 90° around the origin is (x,y)→(−y,x) so I moved the y to x and changed the sign, I moved x to y position. 2) to translate 5 units right and 2 units down, you add (+5, -2) to your current coordinates of D’ E’ and F’ giving D’’ E’’ F’’. Pre Image ➡️ D’ E’ F’ ➡️. D’’ E’’ F’’ (+5, -2)D (-5, -2) ➡️ (2, -5) ➡️ (7, -7)E (0, -2) ➡️ (2, 0). ➡️ (7, -2)F (-4, -6) ➡️ ( 6, -4). ➡️ (11, -6)Attached graph of pre image and transformations

A parabola with focus of (-5, -1) and a directrix of y=7 has the equation of the parabola as: (x + 5)² =  8 (y - 3)

Quadratic equation = parabolic equation, when the directrix is at y direction is of the form:

(x - h)² =  4P (y - k)

OR

standard vertex form, y = a(x - h)² + k     where a = 1/4p

The focus

F (h, k + p) = (-5,-1)

h = -5

k + p = -1

P in this problem, is the midpoint between the focus and the directrix

P = (-1 - 7) / 2 = -4

p = -4

the vertex

v(h, k)

h = -5

k + p = -1, k = 3

v(h, k) = v(-5, 3)

substitution of the values into the equation gives

(x - h)² =  4P (y - k)

(x - -5)² =  4 * 2 (y - 3)

(x + 5)² =  8 (y - 3)

Learn more about writing parabolic equations at:

https://brainly.com/question/28967554

#SPJ1

We have the following:

A.

Let m represent the number of miles per gallon, the inequality would be as follows

B. In two simple inequalities we have this

C.

The error occurs in the second line, the correct solution is x > -5/2.

The relation between two unequal expressions is defined as inequality.

Given inequality is -5x/4 - 7/2 < -3/8.

The solution of the inequality is:

-5x/4 - 7/2 < -3/8

10x + 28 > 3

10x > -25

x > -25/10

x > -5/2

Hence, the error occurs in the second line, the correct solution is x > -5/2.

To learn more about inequalities, click here:

https://brainly.com/question/28823603

#SPJ1

To begin with

we have the inequality

To solve

Step 1: we will collect like terms

simplify the inequality above

Hence, the answer is

To draw the shape

Part B is correct

s is 4/15 of the equation one sixth plus s equals 21 over 30.

Two or more expressions with an Equal sign is called as Equation.

The given equation is

one sixth plus s equals 21 over 30

This can be written as

one sixth can be written as 1/6.

21 over 30 can be written as 21/30.

so the equation is 1/6+s=21/30.

Let us separate the variable s to find the value of s.

s=21/30-1/6

The LCM of 30 and 6 is 30

s=21-5/30

s=16/30=4/15

Hence s is 4/15 of the equation one sixth plus s equals 21 over 30.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

In order to calculate the price for each brand, calculate the quotient in between the price for n forks over the number of forks, just as follow:

Brand A:

3.89/72 = 0.05

Brand B:

6.62/96 = 0.07

Hence:

Unit price for brand A:

$0.05

Unit price for brand B:

$0.07

The greatest number of rows Silvia can plant as per given number of plants and condition is equal to 10.

As given in the question,

Silvia is going to plant 20 tomato plants and 30 bean plants.

Total tomato plants = 20

Total bean plants = 30

If Silvia would like to plant, the plants in rows where each row has the same number of tomato plants and each row has the same number of bean plants.

Then, the greatest number of rows Silvia can plant is equal to greatest common factor of 20 and 30.

20 = 2×2×5

30 = 2×3×5

Greatest common factor of 20 and 30 = 2×5 = 10

Therefore, the greatest number of rows Silvia can plant as per given number of plants and condition is equal to 10.

Learn more about greatest number here

brainly.com/question/23233405

#SPJ1

Hypothesis: It is January and Conclusion: There is snow

The initial clause, or "if," of a conditional statement is the hypothesis. The second, or "then," component of a conditional statement is the conclusion. The theory led to the conclusion.

An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion. As indicated, this is pq. Read this: if p, then q. If the hypothesis is correct but the conclusion is untrue, a conditional statement is false.

Conditionals are in the form if P, then Q.

P is the hypothesis.

Q is the conclusion.

If It is January, then there is snow.

To learn more about hypothesis and conclusion refer to:

https://brainly.com/question/24542637

#SPJ13

Paper towels are being ordered by a restaurant. The data table compares the number of cases to the quantity of paper towel rolls. 1:12 ratio does the proportionality constant appear at in the data table.

Given that,

There is a table.

Paper towels are being ordered by a restaurant. The data table compares the number of cases to the quantity of paper towel rolls.

We have to find what ratio does the proportionality constant appear at in the data table.

The table is

Number of cases ordered     |      Number of rolls of paper towels

1                                               |      12

3                                               |      36

5                                               |      60

10                                              |      120

Therefore, 1:12 ratio does the proportionality constant appear at in the data table.

To learn more about probability visit: https://brainly.com/question/11234923

#SPJ4

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability.

The probability of getting a king card is 1/13 or 0.077.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Total number of probability - 52

Now, the first selected card is king and it is returned to the deck.

So it contains no effect on the second selection card.

Then, we have to estimate probability to obtain a king

probability = favourable outcomes for a king / total possible outcomess

= 4 king cards / 52 cards in total

= 4 / 52 = 1 / 13

The probability of getting a king card is 1 / 13 or 0.077

Therefore, the correct answer is option B. 1/13, or 0.077.

The complete question is:

The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn on the second selection?

A. 1/4 or 0.25

B. 1/13, or 0.077

C. 12/13, or 0.923

D. 1/3 or 0.33

E. None of the above​

To learn more about probability refer to:

https://brainly.com/question/13604758

#SPJ4

From the problem we can get that the y intercept of the line of travel is the y coordinate of the spaceship.

Given,

You have discovered another alien. Find the correct rescue path .

When the spaceship starts from a point on the y axis, we have to find the y intercept of the line of travel.

y-intercept;

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.

Here,

From the problem we can get that the y intercept of the line of travel is the y coordinate of the spaceship.

Learn more about y intercept here;

https://brainly.com/question/13329932

#SPJ1

The value of x is 85° when a pair of parallel lines intersects another pair of parallel lines.

According to the question,

We have the following information:

A pair of parallel lines intersects another pair of parallel lines.

We have a figure where an angle is given as 85°.

Now, the following theorems would be helpful in finding the value of x:

When a pair of parallel lines is intersected by another line then the sum of two consecutive interior angles is 180°. (1)

When a pair of parallel lines is intersected by another line then the alternate interior angles are equal. (2)

Vertically opposite angles are equal. (3)

(Now, we will refer to these theorems by the number given in the brackets.)

Now, by theorem 3, we have vertically opposite angle as 85°.

Now, its alternate interior angle will also be 85°.

Now, 85° and x° are vertically opposite angles.

So, by theorem 3, we have the value of x as 85°.

Hence, the value of x is 85°.

To know more about parallel lines here

https://brainly.com/question/16701300

#SPJ1

EXPLANATION:

We are given a circle K with radius KG. Note here that line KJ and line KG are both radii of the circle given.

Also we know that a line tangent to a circle at the point of intersecting with the radius forms a 90-degree angle with the radius.

We can now extract the following triangle from the diagram provided;

We now have a right triangle which we shall solve by use of the Pythagorean theorem;

Where we have c as the longest side (hypotenuse) and then a and b are the two other sides. Substituting into the equation above now gives us;

Subtract 36 from both sides;

Take the square root of both sides;

Rounded to the nearest tenth, the answer is;

ANSWER:

The equation that represent the relationship between the number of months and the amount remaining on the card is: y = 25 - (2.50x)

a) the independent variable is the: Number of month after the first year

b) the dependent variable is the: Amount remaining on the card

To solve this problem, we have to state the equation using the information of the problem.

Information about the problem:

Writing the equation according to the information gave, we have:

y = 25 - (2.50x)

Where:

The relationship between the number of months after the first year and the amount remaining on the card is: linear and inverse because when the number of months after the first year increases (x), the amount remaining on the card (y) will decrease.

The "y" variable is the dependent variable, because it will change according to the number of months passed after the first year (x).

The "x" variable is the independent variable, because it doesn't depend on any other value, just the number of months passed after the first year.

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607

#SPJ4

The equation of a line in Standard form is:

Where "A", "B" and "C" are Integers ("A" is positive).

The Slope-Intercept form of the equation of a line is:

Where "m" is the slope and "b" is the y-intercept.

In this case you know that:

And knowing that the line passes through the point

You can substitute values and solve for "b":

Then, the equation of this line in Slope-Intercept form is:

Now that you have this equation, you can write it in Standard form as following:

The answer is:

slope intercept equation is represented below

Therefore,