Given this super-sized board (16x16), what integer lengths are possible for slanted segments? Use the line tool to sketch them (using a different color for each one). Label each length. Then describe how you found them.

Given This Super-sized Board (16x16), What Integer Lengths Are Possible For Slanted Segments? Use The

Answers

Answer 1

A way to find integer line segments is using Pythagorean triples, that is, positive integers that are consistent with the Pythagorean theorem, for example, (3,4,5) because we have

[tex]3^{2^{}}+4^2=5^{2^{}}[/tex]

therefore, they can be put in a triangle like this

Therefore, the slanted segment would have a length of 5. That can be done with other Pythagorian triples like (5,12,13) or (8,15,17).

Given This Super-sized Board (16x16), What Integer Lengths Are Possible For Slanted Segments? Use The

Related Questions

Solve each system of equations by GRAPHING. Clearly identify your solution.(2x+y=1) (x-2y=18)

Answers

Answer:

(x, y) = (4,-7)

Explanation:

To solve the system we need to graph the line that each equation represents, then the solution will be the point where the lines cross.

So, to graph the line for the first equation 2x + y = 1, we need to identify two points in the line.

Then, if x = 0, y is equal to:

2x + y = 1

2(0) + y = 1

y = 1

And if x = 1, y is equal to:

2(1) + y = 1

2 + y = 1

2 + y - 2 = 1 - 2

y = -1

So, for the first equation, we have the points (0, 1) and (1, -1)

In the same way, for the second equation x - 2y = 18, we get:

If x = 0, y is equal to:

0 - 2y = 18

-2y = 18

y = 18/(-2)

y = -9

If x = 2, y is equal to:

2 - 2y = 18

2 - 2y - 2 = 18 - 2

-2y = 16

y = 16/(-2)

y = -8

So, for the second equation, we have the points (0, -9) and (2, -8)

Therefore, the graph of both lines is:

So, the solution of the system is the point (x, y) = (4, -7)

A marketing company takes a random sample of 700 men to get their opinion on a new style of car. The marketing company then reports the following: “Four out of five drivers surveyed prefer the new style over the old style.” Explain why this conclusion would be misleading. a. The company only surveyed men but made the claim about all drivers. b. The survey question was biased toward the new style. c. The people surveyed were not randomly selected. d. The sample size of drivers was too small.

Answers

According to the information given, the randome sample that was asked about their opinion was 700 men, however the results of the survey were given as "4 out of 5 drivers"

This information is misleading because the results should have been thrown for men and not for drivers since the sample does not give any information saying that all 700 men are drivers.

The correct answer is: A

In ∆OPQ, q =1.7cm, o=3.8 cm and < P=96°. Find < Q, to the nearest 10th of a degree.

Answers

To solve the exercise you can use the law of cosine, which applies to any triangle:

[tex]b^2=a^2+c^2-2ac\cdot\cos (B)[/tex]

Where

So, in this case, you have

[tex]\begin{gathered} p^2=o^2+q^2-2oq\cdot\cos (P) \\ p^2=(3.8cm)^2+(1.7cm)^2-2(3.8cm)(1.7cm)\cdot\cos (96\text{\degree)} \\ p^2=14.44cm^2+2.89cm^2-12.92cm^2\cdot\cos (96\text{\degree)} \\ p^2=17.33\operatorname{cm}^2-(-1.35cm^2) \\ p^2=17.33\operatorname{cm}+1.35cm^2 \\ p^2=18.68\operatorname{cm}^2 \\ \text{ Apply square root to both sides of the equation} \\ \sqrt[]{p^2}=\sqrt[]{18.68\operatorname{cm}^2} \\ p=4.32\operatorname{cm} \end{gathered}[/tex]

Now, you can use the law of sine, which applies to any triangle:

[tex]\frac{a}{\sin (A)}=\frac{b}{\sin (B)}=\frac{c}{\sin (C)}[/tex]

In this case, you have

[tex]\begin{gathered} \frac{q}{\sin(Q)}=\frac{p}{\sin(P)} \\ \frac{1.7\operatorname{cm}}{\sin(Q)}=\frac{4.32\operatorname{cm}}{\sin(96\text{\degree})} \\ \text{ Apply cross product} \\ 1.7\operatorname{cm}\cdot\sin (96\text{\degree})=\sin (Q)\cdot4.32\operatorname{cm} \\ \text{ Divide by 4.32 cm from both sides of the equation} \\ \frac{1.7\operatorname{cm}\cdot\sin(96\text{\degree})}{4.32\operatorname{cm}}=\frac{\sin(Q)\cdot4.32\operatorname{cm}}{4.32\operatorname{cm}} \\ \frac{1.7\operatorname{cm}\cdot\sin(96\text{\degree})}{4.32\operatorname{cm}}=\sin (Q) \\ 0.39=\sin (Q) \\ \text{ Apply the inverse function }\sin ^{-1}(\theta)\text{ both sides of the equation} \\ \sin ^{-1}(0.39)=\sin ^{-1}(\sin (Q)) \\ 23.0\text{\degree}=Q \end{gathered}[/tex]

Therefore, the measure of angle Q is 23 degrees.

Flying Home A bird flies from the bottom of a canyon that is 70 5 feet below sea level to a nest 7. that is 652 feet above sea level. What is the difference in elevation between the bottom of the 10 canyon and the bird's nest?

Answers

If we refer the level 0 to the sea level.

Then, 10 feet belox the sea level is -10 and 10 above is 10 feet (positive).

Then, the bottom of the canyon is at level y=-70 4/5 (referred to the sea level) and the nest is y=652 feet.

Then, the distance is D=y2-y1=652-(-70)=652+70=772 feet.

The distance between canyon bottom and nest is 772 feet.

et

what is 3.33333333333 as a whole number?

Answers

1/3 = 0.333333333333

Then

3.33333333 is a whole number

= 3 + 1/3

What is the slope of the line connecting the points (1,2) and (-2,1)?

Answers

For this type of problem we recall the formula for the slope (m) of a line passing through 2 points and substitute the given points:

[tex]m=\frac{y_1-y_2}{x_1-x_2}=\frac{2-1}{1-(-2)}=\frac{1}{3}[/tex]

Answer: m= 1/3.

Which equation is true when k= -15A) 3k - 11 = -34B) - 53 + 4k = 7C) k/3 + 17 = 12D) k/5 + 2.5 = 0.5

Answers

We are given some equations and asked to find out which equation is true when k = -15

Note that an equation is true when left-hand side of the equation is equal to the right-hand side of the equation.

Let us substitute k = -15 into each of the given equation

A)

[tex]\begin{gathered} 3k-11=-34 \\ 3(-15)-11=-34_{} \\ -45-11=-34 \\ -56\ne-34 \end{gathered}[/tex]

As you can see, the equation is not true since the left-hand side is not equal to the right-hand side.

Joey’s sock drawer is unorganized and contains 3 black dress socks, 3 black ankle socks, 6 brown dress socks, and 4 brown ankle socks. What is the probability that Joey chooses a sock at random that is brown or is a dress sock?A) 1, or 100%B) 19/16C) 3/8D) 13/16

Answers

EXPLANATION:

Given;

We are told that Joey's drawer contains the following;

Black dress socks = 3

Black ankle socks = 3

Brown dress socks = 6

Brown ankle socks = 4

Required;

If a sock is chosen at random, find the probability that it is brown or is a dress sock.

Step-by-step solution;

The drawer contains a total of 16 socks.

Also, there is a total of 9 dress socks and 10 brown socks.

The probability of choosing a brown or dress sock will be determined by the following formula;

[tex]P[brown\text{ }sock\text{ }OR\text{ }dress\text{ }sock]=P[brown]+P[dress]-P[brown\text{ }and\text{ }dress][/tex]

We can now substitute the values given for this experiment as follows;

[tex]P[brown\text{ }OR\text{ }dress]=\frac{10}{16}+\frac{9}{16}-\frac{6}{16}[/tex][tex]P[brownORdress]=\frac{19}{16}-\frac{6}{16}=\frac{13}{16}[/tex]

ANSWER:

The probability that Joey would select a sock at random that is brown or is a dress sock is

[tex]\frac{13}{16}[/tex]

Option D is the correct answer.

Find the mZRPQ.25°RQ105

Answers

Given the figure in the attached image;

[tex]\begin{gathered} m\measuredangle\text{PRQ}=25^{\circ} \\ m\measuredangle QTU=105^{\circ} \end{gathered}[/tex]

The angle PQS and QTU are corresponding angles so they are congruent.

[tex]m\measuredangle PQS=m\measuredangle QTU=105^{\circ}[/tex]

Also, the angle PQS is an exterior angle to the angles PRQ and RPQ. So, the sum of angles PRQ and RPQ will give the angle PQS;

[tex]m\measuredangle PQS=m\measuredangle PRQ+m\measuredangle RPQ[/tex]

substituting the given values;

[tex]\begin{gathered} m\measuredangle PQS=m\measuredangle PRQ+m\measuredangle RPQ \\ 105^{\circ}=25^{\circ}+m\measuredangle RPQ \\ m\measuredangle RPQ=105^{\circ}-25^{\circ} \\ m\measuredangle RPQ=80^{\circ} \end{gathered}[/tex]

Therefore, the measure of angle RPQ is;

[tex]m\measuredangle RPQ=80^{\circ}[/tex]

The cost of a television set is $6980. After three years it depreciates by 6% per annum. if you want to sell this television what is it's value?

Answers

Depreciation refers to the diminishing value of an item after a period of time due to a reduction in its original quality

Mathematically depreciation can be defined as

[tex]\begin{gathered} D=P(1-R)^N \\ \text{Where} \\ D\text{ = Depreciation} \\ R\text{ = Rate of depreciation} \\ N\text{ = Period of depreciation} \\ P\text{ = Principal } \end{gathered}[/tex]

D = ?

R= 6/100 = 0.06

N = 3 years

P = $6,980

Substituting all these into the formula

[tex]\begin{gathered} D\text{ = }6980(1-0.06)^3_{} \\ D=6980(0.94)^3 \\ D=\text{ 6980 }\times\text{ 0.830584} \\ D=\text{ \$5797.47632} \\ D\approx\text{ \$5797.48} \end{gathered}[/tex]

Therefore, in 3 years the value of the television is approximately $5797.48

a dog runs 12 miles per hour select animals that run faster than the doglion 100 miles 2 hrsbear 60 miles in 2 hrszebra 80 miles in 2 hrselk 90 miles in 2 hrs

Answers

We were told that a dog runs 12 miles per hour.

If a lion runs 100 miles in 2 hours, it means that the number of miles that the lion runs per hour is 100/2 = 50 miles per hour

If a bear runs 60 miles in 2 hours, it means that the number of miles that the bear runs per hour is 60/2 = 30 miles per hour

If a zebra runs 80 miles in 2 hours, it means that the number of miles that the zebra runs per hour is 80/2 = 40 miles per hour

If an elk runs 90 miles in 2 hours, it means that the number of miles that the bear runs per hour is 90/2 = 45 miles per hour

We can see that all the other animals cover more miles per hour than the dog. Thus,they all run faster than the dog

What is the appropriate domain and range of the line segment below?

Answers

Solution

The domain of a function is the set of all possible inputs for the function.

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

From the graph, we can easily see that;

(-19, -6) and (15, 16) find the slope?

Answers

Answer:

Explanation:

The slope is defined as the rise/ run. If a line passes through any two points (x0, y0) and (x1, y1) then the slope m is given by

[tex]m=\frac{y_1-y_0_{}_{}}{x_1-x_0}[/tex]

Now, in our case (x0, y0) = ( -19, 6) and (x1, y1) = (15, 16); therefore, the slope is

[tex]m=\frac{16-6}{15--19_{}}[/tex]

Simplifying the above gives

[tex]m=\frac{5}{17}[/tex]

which is our answer!

In business, you may encounter situations that require you to set up equations with more than just parentheses. For practice, solve the following equation.X = 6{2 + 3[2(8 − 3) + (7 + 1) − 3]}

Answers

Given:

[tex]x=6\lbrace2+3[2(8-3)+(7+1)-3]\rbrace[/tex]

Required:

To solve the given equation.

Explanation:

Consider

[tex]x=6\lbrace2+3[2(8-3)+(7+1)-3]\rbrace[/tex][tex]\begin{gathered} =6\lbrace2+3[2(5)+8-3]\rbrace \\ \\ =6\lbrace2+3[10+8-3]\rbrace \\ \\ =6\lbrace2+3[15]\rbrace \\ \\ =6\lbrace2+45\rbrace \\ \\ =6\lbrace47\rbrace \\ \\ =282 \end{gathered}[/tex]

Final Answer:

[tex]x=282[/tex]

Nov 15,
What is the image point of (5, 1) after a translation right 5 units and down 2 units?

Answers

The required point is (10, - 1 )

What is translation rule ?

An operation is a transformation if it moves, flips, or otherwise alters a figure to produce a new figure. Rigid transformations, sometimes referred to as isometry or congruence transformations, do not alter the size or shape of a figure.

Rotations, reflections, and translations are the stiff transformations. The term "image" refers to the transformed new figure. Preimage refers to the original image.

The translation is 5 units to the right indicates +5 to the x-coordinate.

Translation of two units downward denotes a two-unit subtraction from the y-coordinate.

(x, y ) → Translation rule

is (x + 5, y - 2),

therefore (5, 1) = (5 + 5, 1 - 2) (10, - 1 )

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Which of the following is a solution of 3x2 = 7x − 3?

negative 7 plus or minus the square root of 13 divided by 6
7 plus or minus the square root of 85 divided by 6
negative 7 plus or minus the square root of 85 divided by 6
7 plus or minus the square root of 13 divided by 6

Answers

By using Quadratic formula, the solutions are

[tex]x = \frac{7 + \sqrt{13}}{6}[/tex] or [tex]x = \frac{7 - \sqrt{13}}{6}[/tex]

Fourth option is correct.

What is Quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as Quadratic equation.

If [tex]ax^2+bx + c = 0 (a\neq 0)[/tex] be a quadratic equation,

[tex]x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

This is the quadratic formula

Here,

The given quadratic equation is

[tex]3x^2 = 7x - 3\\3x^2 - 7x + 3 = 0\\[/tex]

a = 3, b = -7, c = 3

x =

[tex]\frac{-(-7)\pm\sqrt{(-7)^2 - 4\times 3 \times 3}}{2\times 3}\\\frac{7 \pm \sqrt{49 - 36}}{6}\\\frac{7 \pm \sqrt{13}}{6}[/tex]

[tex]x = \frac{7 + \sqrt{13}}{6}[/tex] or [tex]x = \frac{7 - \sqrt{13}}{6}[/tex].

Fourth option is correct.

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Please help me on average rate of change!

Answers

The averge rate of change on the interval -1≤x≤5 for the given function f(x)= -3|x+2|-1 is -3.

In the given question we have to find the averge rate of change on the interval -1≤x≤5 for the given function.

Thegiven function is f(x)= -3|x+2|-1

The interval [a,b]=[-1,5]

As we know that the average rate of change of function f(x) on [a,b] is given by

R = {f(b)-f(a)}/(b-a)

As we know that a= -1 and b=5.

R = {f(5)-f(-1)}/(5-(-1))...........................(1)

Firstly we finding the f(-1) and f(5)

Now put x= -1 in the given function.

f(-1)= -3|-1+2|-1

f(-1)= -3|1|-1

f(-1)= -3-1

f(-1)= -4

As we know that b= 5.

Now put x= 5 in the given function.

f(5)= -3|5+2|-1

f(5)= -3|7|-1

f(5)= -3*7-1

f(5)= -21-1

f(5)= -22

Now putting the value in equation 1.

R = (-22-(-4))/(5+1)

R = (-22+4)/6

R = -18/6

R = -3

Hence, the averge rate of change on the interval -1≤x≤5 for the given function f(x)= -3|x+2|-1 is -3.

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how to do use excel formula.

Answers

The steps to use the excel formulas are:

Choose a blank cell.After entering the equal sign =, type function. Use =SUM, for instance, to calculate the total sales.Add a first parenthesis (.Type a closing parenthesis after choosing the cell range.To obtain the outcome, press Enter.

What is an excel formula?A formula in Microsoft Excel is an expression that modifies values in a set of cells. Even if the result is incorrect, these formulas nonetheless return a result. You may execute calculations like addition, subtraction, multiplication, and division using Excel formulae.A formula in Excel is an expression that manipulates values in a cell or a range of cells. Consider the formula =A1+A2+A3, which calculates the sum of the values in cells A1 through A3.Simple Excel formulae include SUM, COUNT, COUNTA, COUNTBLANK, AVERAGE, MIN Excel, Excel MAX, and Excel LEN.

Some steps to use the excel formulas are:

Choose a blank cell.After entering the equal sign =, type function. Use =SUM, for instance, to calculate the total sales.Add a first parenthesis (.Type a closing parenthesis after choosing the cell range.To obtain the outcome, press Enter.

Therefore, the steps to use the excel formulas are:

Choose a blank cell.After entering the equal sign =, type function. Use =SUM, for instance, to calculate the total sales.Add a first parenthesis (.Type a closing parenthesis after choosing the cell range.To obtain the outcome, press Enter.

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The coordinate plane is separated into four quadrants as shown.



Let p: x < 0
Let q: y < 0

What is represented by p ∨ q?

quadrant 1 because both x and y are positive coordinates
quadrant 3 because both x and y are negative coordinates
quadrants 1, 2, and 4 because in these quadrants x, y, or both are positive coordinates
quadrants 2, 3, and 4 because in these quadrants x, y, or both are negative coordinates

Answers

For the condition  p: x < 0 and  q: y < 0;  p ∨ q represent quadrants 2, 3, and 4 is correct because in these quadrants x, y, or both are negative coordinates.

What is termed as the quadrants?The quadrant is the area confined by the X and Y axes interlinking. When the two axes, the X-axis and the Y-axis, intersect at 90o on the cartesian plane, four regions form around it, which are recognised as quadrants. As a consequence, each plane has four quadrants, each of which is bounded by half of a axes.

We are told that p: x<0 and q: y<0.

Because the value of x is negative here, the graph of 'p' upon plotting will show quadrants 2 and 3.Also, because the value of y is negative here, the graph of 'q' after projecting will show quadrants 3 and 4.Now we must find 'pVq,' which means 'p or q' (where V is indeed the disjunction OR), i.e. satisfying either x<0 or y<0 or both x<0 and y<0.

As a result, pVq = quadrants 2, 3, and 4, because both x and y are negative within those quadrants.

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I will add an additional picture with the answer options for the blank spaces

Answers

Given

[tex](y+5)^2=12(x+3)[/tex]

Answer

The graph of the parabola is given as

The vertex of is (-3,-5). The parabola opens right. The focus is 3 units away from vertex. The directrix is 6 units away from focus. Focus is at (0,-5). The equation of the directix is x = - 6

The table below shows the population and the number of representatives in Congress for the selected states.StateCANYTXFLNCINALPopulation (in millions)29.818.017.012.96.65.54.0Representatives5231302312107 If you were to make a scatter plot of the data, you would be able to determine the line of best fit. Using the regression equationy = 1.73 x + 0.39,predict the number of representatives for Oregon, which has a population of about 3.3 million.a.5 representativesb.6 representativesc.7 representativesd.28 representatives

Answers

The number of representatives for Oregon, which has a population of about 3.3 million is 6. Option B is the correct option.

The regression equation is given as y = 1.73 x + 0.39.

The regression equation determined the specific link between one or more independent variables and a dependent variable.

We need to find the number of representatives for Oregon, which has a population of about 3.3 million.

For this, we need to put the value x = 3.3 in the regression equation is y = 1.73 x + 0.39.

We will get;

y = 1.73 * (3.3) + 0.39

  = 5.709 + 0.39

  = 6.099

   ≈ 6

Thus, the number of representatives for Oregon, which has a population of about 3.3 million is 6. Option B is the correct option.

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Answer:

6 representatives

Step-by-step explanation:

Find the value of z.7Xy3ZV[?]Z =Give your answer in simplest form.Enter

Answers

First, lets remember the property of right triangles as follows. Given a right triangle with the form:

The following formula is true:

[tex]Z^2=m\times(m+n)[/tex]

So, in our case m=3 and m+n=7+3=10, if this we can find Z:

[tex]Z^2=3\times(7+3)\rightarrow Z^2=30\rightarrow Z=\sqrt[]{30}[/tex]

What is the equation of the line through (-2, -3) with an undefined slope?a.y=-3b. -3x + 2y = 0c. -2x – 3y = 0d.x=-2

Answers

We have an undefined slope. It means that the line is parallel to the y-axis, that is, the slope could be "defined" as an infinite slope (in rough words).

Therefore, the equation of the line through the point (-2, -3) with an undefined slope is:

x = -2 (option d).

This line is represented as a parallel line to the y-axis (x = -2), and it passes through the point (-2, -3).

all you need is in the photo please answer fast

Answers

[tex]\begin{gathered} h(t)=-16t^2+40t+4 \\ \text{let's check the interval:} \\ 0Since:

[tex]h(1)>h(0.5)[/tex]

We can conclude that the height of the ball is increasing

A dietitian at a hospital wants a patient to have a meal that has 113 grams of protein, 54 grams of carbohydrates, and 135.5 milligrams of vitamin A. The hospital foodservice tells the dietitian that the dinner for today is salmon steak, baked eggs, and acorn squash. Each serving of salmon steak has 30 grams of protein, 10 grams ofcarbohydrates, and 1 milligram of vitamin A. Each serving of baked eggs contains 20 grams of protein, 3 grams of carbohydrates, and 20 milligrams of vitamin A. Eachserving of acorn squash contains 4 grams of protein, 15 grams of carbohydrates, and 37 milligrams of vitamin A. How many servings of each food should the dietitian provide for the patient?__ salmon steak (x)__ baked eggs (y)__ acorn squash (z)

Answers

Hello there. To solve this question, we'll need to set up a system of equations with 3 equations and 3 variables.

In each equation, we'll have the amounts for protein, carbohydrates and vitamin A.

Talking about protein:

Each serving of salmon steak has 30 grams of protein, baked eggs contains 20 grams of protein and acorn squash contains 4 grams of protein.

Say the servings of salmon steak, baked eggs and acorn squash are the variables x, y and z, respectively. We multiply x, y and z by the respective values for the protein of each serving and add them up. It should be equal to the amount of protein the dietitian was thinking of.

30x + 20y + 4z = 113

Talking about carbohydrates:

The same thing will apply to carbs, we multiply the variables by how many carbs we can get for eachserving. A serving of salmon steak gives you 10 grams of carbs, baked eggs gives you 3 grams of carbs and acorn squash gives you 15 grams.

10x + 3y + 15z = 54

Talking about vitamin A:

Repeat the same process, this time using the values for the vitamin A you get form each serving.

x + 20y + 37z = 135.5

Then we have the following system of equations:

Solving this system of equations, you can use the method of your choice.

After you solved it, you find the values:

1.5 serving of salmon steak, 3 servings of baked eggs and 2 servings of acorn squash.

The volume of a cone with helght h and radius r can be found using the formula V1arth3Find the volume of a cone with radius 8 feet and height 10 feet.

Answers

ANSWER:

669.87 cubic feet

STEP-BY-STEP EXPLANATION:

The volume of the cone is given as follows:

[tex]V=\frac{\pi\cdot r^2\cdot h}{3}[/tex]

We know the value of the radius and height, we replace and calculate the volume:

[tex]\begin{gathered} V=\frac{3.14\cdot8^2\cdot10}{3} \\ V=669.87ft^3 \end{gathered}[/tex]

Therefore, the volume of the cone is 669.87 cubic feet.

Ivanna runs each lap in 4 minutes. She will run more than 11 laps today. What are the possible numbers of minutes she will runtoday?Use t for the number of minutes she will run today.Write your answer as an inequality solved for t.

Answers

So,

Let "t" be the number of minutes she will run today.

Given that she will run more than 11 laps today, then we can set up the inequality:

[tex]\begin{gathered} t>11\cdot4 \\ t>44 \end{gathered}[/tex]

This is because 11 laps take 44 minutes to run, and if she will run more than 44 minutes, so t>44.

These marbles are placed in a bag and twoof them are randomly drawn.What is the probability of drawing two pinkmarbles if the first one is NOT placed backinto the bag before the second draw?Give your answer as a rational number, reduced tosimplest terms.Hint: Multiply the probability of the 1st Event by theprobability of the 2nd Event to get your answer.

Answers

Given data:

The total numbers of marbles are n=10.

The expression for the probability of drawing 2 pink marbles one by one without replacement is,

[tex]\begin{gathered} P(2p)=\frac{3}{10}\times\frac{2}{9} \\ =\frac{1}{15} \end{gathered}[/tex]

Thus, the probability of drawing 2 pink marbles one by one without replacement is 1/15.

What is the rate of change of the graph?a.1/32 gallons/mileb.1/64 gallons/milec.64 miles/gallond.32 miles/gallon

Answers

[tex]\begin{gathered} \text{rate of change = }\frac{\Delta\text{miles}}{\Delta gallons}\text{ = }\frac{160-64}{5-2} \\ =\frac{96}{3}\text{ = 32miles/gallon} \end{gathered}[/tex]

Taking two points on the graph

when miles = 160 , gallon = 5

when miles = 64 , gallon = 2

Find the perimeter of the rectangle. Be sure to write the correct unit in your answer. | cm 2 I Don't Know Submit

Answers

Answer:

Explanation:

Other Questions
Mrs. Everett is shopping for school supplies with her children. Rose selected 3 one-inch binders and 1 two-inch binder, which cost a total of $23. Judy selected 5 one-inch binders and 3 two-inch binders, which cost a total of $49. How much does each size of binder cost? Between which rational numbers does 30 fall? if 5 plus 5 is 10 and 44 plus 87 plus 98 plus 1415 is what??? Dana rode her bike for 5 miles on Wednesday. On Thursday, she biked 4 1/3 times as far ason Wednesday. How many miles did Dana bike on Thursday?fraction or as a whole or mixed number. U is defined as the set of all integers. Consider the following sets:A = {1, 2, 3, 4, 5}B = {x| 0 < x < 5}C = {p|P is an even prime number}D = {4. 5. 6. 7}E = {x| x is a square number less than 50}Find BDGroup of answer choices40, 1, 2, 3, 4, and 54 and 50, 1, 2, 3, 4, 5, 6, and 7 which expression are equivalent to[tex]( \frac{750}{512})^{ \frac{1}{3} } [/tex] Circumference and the area of a circle with radius 5 ft you A private college advertise that last year their freshman students on average how do you score of 1140 on the college entrance exam. Assuming that the average refers to the mean, Which of the following claims must be true based on this information? Last year some of their freshman students had a score of exactly 1140 on the exam last year more than half of their freshman students had a score of at least 1140 on the exam last year all their freshman students have a score of at least 1140 on the exam next year at least one of their freshman students will have a score of at least 1140 on theexam last year at least one of their freshman students had a score of more than 900 on the exam or none of the above statements are true Use point-slope form to write the equation of a line that passes through the point (-8,-16)(8,16) with slope 11. write write in equal inequalities to represent each situation Molly went shopping in her bank account got below 7.50 The diameter of a circle is 20 kilometers. What is the angle measure of an arc bounding a sector with area 10pi square kilometers?Give the exact answer in simplest form. ____. (pi, fraction,) Notation scientific ad and subtract2.4 *10^5 + 0.5*10^5 = 50 POINTSWhich of the following nations was a member of the Triple Entente BEFORE the start of World War I?A. GermanyB. Ottoman EmpireC. SerbiaD. Great Britain Which scenario most clearly contains a conflict? O A. Sonia buys a new desk and chair, since she's working from home. O B. Chuck decides to go canoeing, since it's so nice on his day off. OC. Israel gets mad at his friend for picking a restaurant he dislikes. OD. Naomi drives over to her grandmother's apartment in the Bronx. please Which graph shows the ordered triple (2, 3, 3) plotted correctly? Im trying to find out where the second point can be marked 1) 3 = x + 13I need help Sam and Rohan's families are driving to Chicago, Illinois, from Orlando, Florida. Sam'sfamily is driving a direct route of 1,157 miles at 65 mph. Rohan and his family are drivingthrough Charlotte, North Carolina and will drive 1,250 miles at 70 mph.At this rate, how many hours will it take Sam's family to get to Chicago, Illinois?(Round your answer to the tenths place.) Sup guy can i have help 420 points up for grab-(x-8y+27) Why are triple bonds shorter than single bonds?