Ethan buys a bag of cookies that contains 8 chocolate chip cookies, 7 peanut butter cookies, 7 sugar
cookies, and 7 oatmeal cookies.
What is the probability that Ethan feaches in the bag and randomly selects an oatmeal cookie from the
bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie? Round your answer
to four decimal places.

Answer:

26.75 units²

Step-by-step explanation:

Decomposing the figure given to us we would have 3 triangles of different dimensions and 1 square.

Find the area of each then sum all together to get the area of the figure.

✔️Area of Triangle 1 (the biggest triangle):

Area = ½*base*height

height = 3.5

base = 2 + 2 + 5 = 9

Area = ½*9*3.5 = 15.75 units²

✔️Area of Triangle 2 (the medium triangle):

Area = ½*base*height

height = 2

base = 5

Area = ½*5*2 = 5 units²

✔️Area of Triangle 3 (the smallest triangle):

Area = ½*base*height

height = 2

base = 2

Area = ½*2*2 = 2 units²

✔️Area of the square:

Area = s²

s = 2

Area = 2² = 4 units²

✅Area of the figure = 15.75 + 5 + 2 + 4 = 26.75 units²

An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;

Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;

\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

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Complete Question:

A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.

However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.

Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip

What equation can be written to determine the number of students that went on this trip?

Answer:

310 cupcakes per day

Step-by-step explanation:

divide 1240 by the 4 days to find out how many they sell in one day

if this is wrong idc im just gathering points so i can put my questions

Answer:

6.3%

Step-by-step explanation:

so 5.607 = x% * 89

to find the percent u need to divide : 5.607/89 which is : 0.063

to convert 0.063 to a percent multiply 0.063 by 100 = 6.3%

check :

6.3% *89 = 5.607

The probability that an individual man's step length is less than 1.9 feet is approximately 0.1056 or 10.56% (rounded to 4 decimal places).

Probability is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Math to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution,

The standardized value, also known as the z-score, is given by:

\(Z = \dfrac{(\text{x} - \mu)}{\sigma}\)

Substituting the given values, we get:

\(Z = \dfrac{(1.9 - 2.4)}{0.4}\)

\(Z = -1.25\)

Now we need to find the probability that an individual man's step length is less than 1.9 feet, which is equivalent to finding the area under the standard normal distribution curve to the left of the z-score -1.25.

Using a standard normal distribution table or calculator, we can find that the area to the left of -1.25 is 0.1056.

Therefore, the probability that an individual man's step length is less than 1.9 feet is approximately 0.1056 or 10.56% (rounded to 4 decimal places).

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Answer:

(10, 5π/3)

Step-by-step explanation:

To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:

r = √(x^2 + y^2)

θ = arctan(y/x)

Substituting the given values, we get:

r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10

θ = arctan((-5√3)/5) = arctan(-√3) = -π/3

Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:

θ = -π/3 + 2π = (5π/3)

Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).

Answer:

It’s late but 14.9

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Set up a proportion

\(\frac{3}{45} = \frac{x}{240}\)

Then, cross multiply.

\(720 = 45x\\16 = x\\x = 16\)

Step-by-step explanation:

w = width

2w + 2 =  Length

Area = W x L  = 84 = w (2w+2)

                          84 = 2w^2 + 2w

                            0 = 2w^2 + 2w - 84        Use Quadratic Formula

                                                                 a = 2    b=2    c = -84

to find  

W = 6      then     L =  14 inches

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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Answer:

-9x^4+6x^3+x^2+5x+2

Step-by-step explanation:

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

A) The probability that a piece of toast lands butter side down when dropped from a 2.5-foot high table is 0.81 means that out of all possible outcomes of dropping a piece of toast from that height, 81% of the time it will land with the butter side facing down.

B) No, it does not mean that exactly 81 out of 100 pieces of toast will land butter side down. The probability of a single piece of toast landing butter-side down is 0.81, so when 100 pieces of toast are dropped, we can expect around 81 of them to land butter-side down on average, but the actual number may vary due to randomness.

C) Maria may or may not be surprised, depending on her expectations and the level of significance she sets for her test. To carry out a simulation, we can use a random number generator to simulate dropping 10 pieces of toast with a probability of 0.81 of landing butter side down. We can repeat this simulation multiple times, say 1000 times, and count the number of times the simulation yields 4 or fewer pieces of toast landing butter side down. If this rarely happens (e.g., less than 5% of the time), we can say that Maria should be surprised.

D) The dot plot displaying the results of 50 simulated trials of dropping 10 pieces of toast can provide some information about the variability of the outcomes. If most of the dots are clustered around 8 or 9 (which would correspond to 80% or 90% of the pieces of toast landing butter side down), then Maria's result of only 4 out of 10 pieces landing butter side down would be considered unusual, and she should be surprised. However, if the dots are spread over a wide range, it would suggest that getting 4 out of 10 is not that uncommon, and Maria should not be surprised.

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Answer:

The answer is 0.45

Step-by-step explanation:

0.75-0.1-0.2=0.45

Answer:

\($ \left \{ {{y= 2250 + 75x} \atop {y=2750 + 25x}} \right. $\)

If Kayla's team wins 10 games on each team, she would be paid the same amount.

Step-by-step explanation:

Hello!

Let the amount of money earned be y, and the number of games they win be x.

For the Lady Falcons, the equation would be y = 2250 + 75x.

For the Lady Hornets, the equation would be y = 2750 + 25x.

The system would be \(\left \{ {{y= 2250 + 75x} \atop {y=2750 + 25x}} \right.\).

_______________________________________________________

The question says not to solve, but we are going to solve it anyway for practice.

If Kayla's team wins 10 games on each team, she would be paid the same amount.

Answer:

The first is not equivalent, second is.

Step-by-step explanation:

2x-3.9x+7.5=5.9x+7.5

The first is not equivalent, second is.

Answer:

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

The ratio of tomato plants to zucchini plants is 8 : 3

The ratio of tomato plants to the total plants is 8 : 11

Answer:

Its the second option. 742.5

Answer:

A = 742.5in^2

Step-by-step explanation:

When solving the area of a triangle we need to have A= hb/2

h: being the height of the triangle has and b: being the base of the triangle when joining these two number you always have divide by 2 when finding an area of a triangle giving you your final equation:

A = hb/2 = 33 x 45/ 2 = 742.5

Answer:

\(\frac{2}{3}\) hours

Step-by-step explanation:

Let \(t\) be equal to the time that passes for Car A and Car B to be 8 km apart.

Let \(A\) be equal to the distance that Car A travels within \(t\).

Let \(B\) be equal to the distance that Car B travels within \(t\).

1) Create equations

\(Distance = Time*Velocity\)

Therefore:

\(A=60t\)

\(B=72t\)

We also know that the distance between the two cars would be 8 km. Therefore:

\(B-A=8\)

2) Solve for t (the time it takes for Car A and Car B to be 8 km apart)

Plug \(A=60t\) and \(B=72t\) into \(B-A=8\)

\(72t-60t=8\\12t=8\\t=\frac{8}{12} \\t=\frac{2}{3}\)

Because the velocity unit is km/h, we know that t will be in hours. Therefore, Car A and Car B were 8 km apart after \(\frac{2}{3}\) hours.

I hope this helps!

Answer:

1st blank=\(y_{1}\)

2nd blank=\(x_{1}\)

3rd blank= \(y_{2}\)

3*27=81

so 1*\(y_{1}\)=81

hence \(y_{1}\)=81

9* \(x_{1}\)= 81

\(x_{1}\)=9

27*\(y_{2}\)=81

\(y_{2}\)=3

Thus solved.

Hope this helps.

Please mark me as brainliest.

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To calculate the area of her rectangular quilt, Mrs. Kuhn needs to multiply the length and width of the quilt in inches. Since each quilt square is 4 inches long, the calculation for the area of the quilt is:

Area of quilt = Length of quilt x Width of quilt x (4 inches) ^2

Therefore, the correct calculation for Mrs. Kuhn to determine the area of her quilt is the product of 4 inches times the sum of the length and width of the quilt.

p-4

Or

4-p

The point at (-3, 4) is at a distance of 5 units from the point (0, 0).

For two points (x₁, y₁) and (x₂, y₂), the distance between them is given by the formula:

distance = √( (x₁ - x₂)² + (y₁ - y₂)²)

In this case, we want to get the distance between (-3, 4) and (0, 0), using the above formula we will see that the distance is:

distance = √( (-3 - 0)² + (4 - 0)²) = √25 = 5

The distance is 5 units.

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Answer:

In step 2, 5-7= -2 instead of +2

Step-by-step explanation:

Answer:

3+5=8

=8-7

8-7=1

=1

Step-by-step explanation: