I know the answer but don't know how to do it.... pls explain the answer. thank you

The last cup contains 4 ounces of lemonade. Option (a) is correct.

Pam has 228 ounces of lemonade and she pours it into 8-ounce cups. To determine the amount of lemonade in the last cup, we divide the total amount of lemonade by the size of each cup.

228 ounces ÷ 8 ounces = 28 cups with a remainder of 4 ounces.

Since the last cup is not completely full, the remaining 4 ounces of lemonade are in the last cup. This means option (a), which states that there are 4 ounces in the last cup, is the correct answer.

By dividing the total amount of lemonade by the cup size and considering the remainder, we can determine the quantity of lemonade in the last cup, which in this case is 4 ounces.

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The longest piece of wood we need is the bottom left piece, which requires a board of at least 15 inches in length

Based on the dimensions provided in the image, we can see that Yeidalis needs a board that is at least as long as the longest piece of wood required.

The longest piece of wood required is the diagonal of the rectangle with dimensions 12 inches and 9 inches.

Using the Pythagorean theorem, we can calculate the length of this diagonal as:

sqrt(12^2 + 9^2) = sqrt(144 + 81) = sqrt(225) = 15 inches

So Yeidalis needs a board that is at least 15 inches long to create her artwork.

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Step-by-step explanation:

y=kx k being the constant

the probability that 3 of the 5 computers are defective is 0.3788 or about 0.379.

We can solve this problem using the hypergeometric distribution, since we are selecting a sample without replacement from a finite population with known proportions of defective and non-defective items.

The probability of selecting exactly 3 defective computers in a sample of 5 can be calculated as follows:

P(3 defective) = (number of ways to choose 3 defective computers) x (number of ways to choose 2 non-defective computers) / (total number of ways to choose 5 computers)

The number of ways to choose 3 defective computers from 6 defective computers is:

C(6,3) = 6! / (3! (6-3)!) = 20

The number of ways to choose 2 non-defective computers from 6 non-defective computers is:

C(6,2) = 6! / (2! (6-2)!) = 15

The total number of ways to choose 5 computers from 12 computers is:

C(12,5) = 12! / (5! (12-5)!) = 792

Therefore, the probability of selecting exactly 3 defective computers in a sample of 5 is:

P(3 defective) = (20 x 15) / 792 = 0.3788 (rounded to four decimal places)

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The relative frequency distribution of the three categories includes

We must get percentage of students in Yes (Y), No (N) and No Response (NR) categories to allow us to create the relative frequency distribution for the athletic department.

Data:

The total number of students surveyed is 1000.

The percentage of students who answered Yes will be:

= (Y / Total) * 100

= (733 / 1000) * 100

= 73.3%

The percentage of students who answered No will be:

= (N / Total) * 100

= (162 / 1000) * 100

= 16.2%

The percentage of students who did not respond will be:

= (NR / Total) * 100

= (105 / 1000) * 100

= 10.5%.

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The probability that the jury makes the correct decision is approximately 0.7063.

To solve this problem, we need to find the probability that the jury makes the correct decision if the defendant is guilty. Let's break down the problem into smaller steps.

We know that the probability of a single juror making the correct decision is 0.80. If the defendant is guilty, then the probability of a juror making the correct decision is still 0.80. Therefore, the probability that a single juror makes the correct decision if the defendant is guilty is 0.80.

We can use the binomial distribution formula to determine the probability of at least 10 out of 12 jurors making the correct decision. The formula is:

P(X ≥ k) = 1 - Σ(i=0 to k-1) [n!/(i!(n-i)!) x \(p^i \times (1-p)^{(n-i)}\) ]

where:

P(X ≥ k) is the probability of at least k successes

n is the total number of trials (in this case, 12 jurors)

p is the probability of success in a single trial (in this case, 0.80)

k is the number of successes we want to find the probability of (in this case, 10)

Plugging in the values, we get:

P(X ≥ 10) = 1 - Σ(i=0 to 9) [12!/(i!(12-i)!) x \(0.80^i \times (1-0.80)^{(12-i)}\)]

Using a calculator or software, we can calculate this to be approximately 0.7063.

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Answer:

£ 76

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

1/2 x 4^2 = a

4^2= 16

1/2 of 16 = 8

Answer:

16

Step-by-step explanation:

Since the shape is a square, and one of the sides is 4, we can multiply it by 4 (because there are 4 sides in a square), and get 16

The measure of the base of the triangle is 10 millimetres

From the question, we have the following parameters that can be used in our computation:

Area of the triangle = 80 square millimetres

Height of the triangle = 16 millimetres

Using the above as a guide, we have the following:

The base of the triangle = 2 * Area/Height

Substitute the known values in the above equation, so, we have the following representation

The base of the triangle = 2 * 80/16

Evaluate

The base of the triangle = 10

Hence, the base is 10 millimetres

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Complete question

The area of the triangle is 80 square millimeters and the height of the triangle is 16 millimetres.

Calculate the length of the base

The solutions of the system are x = 1, y = 2 and z = -1.

And we solve the system with the help of Jordan-canonical form.

A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the numbers.

Given:

A system of equations,

x + y - 2z = 5

-x + 2y + z = 2

2x + 3y - z = 9

In the matrix form;

\(\left[\begin{array}{ccc}1&1&-2\\-1&2&1\\2&3&-1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}5\\2\\9\end{array}\right]\)

\(\left[\begin{array}{ccc}1&1&-2\\0&0&-10/3\\0&1&3\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}5\\10/3\\-1\end{array}\right]\)

That means,

x = 1, y = 2 and z = -1.

Therefore, the solutions of the system are x = 1, y = 2 and z = -1.

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Yes, the test in an "if" function must evaluate to either a True or a False value.

An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.

When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.

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Answer:

the circumstance would be 21.99

the area is 38.48

Step-by-step explanation:

radius is half the diameter so your radius is 3.5

The area of a circle is pi times the radius squared (A = π r²) which for you would be A = 3.14 × 3.5²

circumference is found by multiplying 2 times pi times the radius (C = 2πr) which for you would be C = 2 × 3.14 × 3.5

Step-by-step explanation:

Since it varies directly, we can set up a ratio and solve for x

\( \frac{ - 4}{ - 2} = \frac{x}{12} \)

Next we would cross multiply... multiply the numbers diagonally

\(( - 4)(12) = ( - 2)(x)\)

Simplifying

\( - 48 = - 2x\)

Now to get X alone, we would divide by the number attached to it, so -2. We'd do -2 on the -48 also

\(x = 24\)

The area of the region inside the cardioid and outside the circle is 3π/2 square units.

The area of the region inside the cardioid r=1+cosθ and outside the circle r=3cosθ using a double integral, follow these steps:

1. Determine the bounds of integration for θ: Find where the cardioid and circle intersect by setting r equal for both equations: (1+cosθ) = 3cosθ. Solve for θ, which results in θ = 0 and θ = π.

2. Set up the double integral: The area of the region can be found using the double integral of the difference between the two polar functions with respect to r and θ: Area = ∬(1+cosθ - 3cosθ) rdrdθ.

3. Determine the bounds of integration for r: The lower bound for r is the circle r=3cosθ, and the upper bound is the cardioid r=1+cosθ.

4. Integrate with respect to r: ∫[∫(1+cosθ - 3cosθ) rdr]dθ from r=3cosθ to r=1+cosθ. This results in: [1/2(r^2)] evaluated from r=3cosθ to r=1+cosθ.

5. Plug in the limits of integration for r: [(1/2)((1+cosθ)^2) - (1/2)(3cosθ)^2]dθ.

6. Integrate with respect to θ: ∫[(1/2)((1+cosθ)^2) - (1/2)(3cosθ)^2] dθ from θ=0 to θ=π.

7. Evaluate the integral: After integrating and evaluating the limits, you will find that the area of the region inside the cardioid and outside the circle is 3π/2 square units.

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Answer:

x<-3

Step-by-step explanation:

-2(x+3)>9+3x - Distribute

-2x-6 > 9+3x - Subtract 3x to both sides

-5x-6 > 9 - Add 6 to both side

-5x > 15 - Divide -5 to both sides

Integer switches: x < -3 - Answer

Source: MathPapa

After evaluating the expression - 11 + 9 ( - 7 + 3 ), we get the result as - 47.

We are given the expression:

- 11 + 9 ( - 7 + 3 )

We need to evaluate the expression.

We will use the property of PEMDAS to evaluate the expression.

We will first solve the brackets:

- 11 + 9 ( - 7 + 3 )

= - 11 + 9 ( - 4 )

Now, we have that:

= - 11 - 36

= - 47

Therefore, after evaluating the expression - 11 + 9 ( - 7 + 3 ), we get the result as - 47.

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Answer:

80 and 120 for 3 pointers

Step-by-step explanation:

Answer:

the answer would be 2/3. I hope this helps.

Step-by-step explanation:

The weight of this cereal is bran is 3/4 fraction.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

A different breakfast cereal is made using only fruit and bran.

The ratio of the weight of fruit to the weight of bran is 1 : 3.

That means,

the total amount = 3x + x = 4x.

Then fraction of the weight of this cereal is bran,

3x/4x

= 3/4

Therefore, 3/4 is the required fraction.

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(a) The Nash equilibrium for the $20 ultimatum game is a 50-50 split: the proposer offers $10 and the responder accepts. (b) Experimental findings show deviations from the Nash equilibrium due to fairness considerations, strategic behavior, and social preferences. (c) Proposers deviate from Nash equilibrium due to fairness concerns and strategic considerations. (d) To test the explanation, conduct experiments manipulating fairness norms and incentives to observe proposers' behavior.

(a) The Nash equilibrium for the $20 ultimatum game, where offers are made to the nearest $0.50, is a 50-50 split, where the proposer offers $10 and the responder accepts.

(b) The experimental literature has found deviations from the Nash equilibrium in both proposers and responders. These deviations can be attributed to various factors such as fairness considerations, strategic behavior, and social preferences.

(c) The behavior of the proposer deviates from the Nash equilibrium due to factors like fairness concerns and strategic considerations. Proposers may make more generous offers to avoid rejection or to signal fairness and maintain a positive reputation.

(d) To test the explanation that proposers deviate from the Nash equilibrium due to fairness concerns, one could design an experiment where fairness is manipulated. Participants could be exposed to different fairness treatments, and their offers could be observed and compared to those in a control group. Statistical analysis can then be used to determine if there is a significant difference in offers between the fairness treatments and the control group.

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The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer:

6

Step-by-step explanation:

115 - 7 = 108

108 ÷ 18 = 6

The equation in the form of y=mx+b will be y= -3/4x+2

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that the inequality is y< -3/4x+2,

We have to write the inequality in the form of y=mx+b

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

Thus, the equation in the form of y=mx+b will be y= -3/4x+2

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Answer:

28 shirts

Step-by-step explanation:

Let's see what we are given.

there are x amount of shirts ($616 total)

there are 12 in a dozen

the regular shirts are $16

the last 12 shirts are $14

Lets make an equation.

616= 14(12) + 16x

616=168+16x

448=16x

x=28

(Sorry if this explanation is bad)

Answer:

Step-by-step explanation:

+5 pts

Which sample of water has the most thermal energy?

O A. A 0.5 kg sample at 1°C

O B. A 1.5 kg sample at 10°C

O C. A 1 kg sample at 10°C

O D. A1 kg sample at 4°C

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Answer +5 pts

Which sample of water has the most thermal energy?

O A. A 0.5 kg sample at 1°C

O B. A 1.5 kg sample at 10°C

O C. A 1 kg sample at 10°C

O D. A1 kg sample at 4°C

Ask q87d9d4hai about this question...

Answer

0 17 answers

287 people helped

Answer:

THE ANSWER IS #A

Explanation:

0

rhsg7wugwyehehhehe

17 answers

287 people helped

Answer:

Answer:

Step-by-step explanation:

the answer is dirroeah

The bearing of U from T in the image is 32 degrees South by West of T

In mathematics, bearings refer to the direction of an object or location in relation to two points. It is determined by the angle between the line joining them and that of the north.

Measured typically in degrees, it follows a cardinal system where 0° or 360° signifies North; East stands for 90°, South denotes at 180° while West represents 270°.

Thus, it can be seen that the bearing of U from T in the image is 32 degrees South by West of T

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Answer:

Step-by-step explanation:

\(9x6x12\)= 648 the length(12m), width(6m), and height(9m) that all i can give you for now because this got me losing brain sells

Answer:

for the first question the answer is 3

for the second question the answer is 9

Step-by-step explanation:

12/4=3, 6/2=3, 9/3=3

8+8+12+12+6+6 = 52 & 108 + 108 + 72 + 72 + 54 + 54= 468

468 / 52 = 9

The area of the triangle formed by the birdbath, bird feeder and the birdhouse is 15 squared units

Given: the birdbath is at (2,2), the bird feeder is at (8,2), and the birdhouse is at (5,7)

(Consider the image attached)

The distance between the points can be calculated using the formula:

d=√((x2 – x1)² + (y2 – y1)²)

birdbath (5,7) and birdhouse (2,2)

d=√((2 – 5)² + (2 – 7)²) = √34

bird feeder (8, 2) and birdhouse (2,2)

d=√((2 – 8)² + (2 – 2)²) = 6

birdbath (5,7) and bird feeder (8,2)

d=√((8 – 5)² + (2 – 7)²) = √34

The height of the triangle is:

h = √((√34)²-3²) = 5

Area of triangle = 1/2 × base × h

Area of triangle = 1/2 × 6 × 5 = 15 squared units

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Answer:

if u have more doubts feel free to ask :)

Step-by-step explanation:

x² + 10x -24  

x² + 12x - 2x - 24          

x(x + 12) -2(x + 12)

(x + 12) (x - 2)

Factors of 24 : ±1 , ±2 , ±3 , ±4 , ±6 , ±8 , ±12,  ±24. Combination of +12 and -2 gives "10" the middle term also " 24"

The cross product and dot product of the vectors ⟨2,−7,5⟩ and ⟨−8,−2,0⟩ are ⟨10, 40, −54⟩ and -2 respectively.

For the given vectors, ⟨−4,−2,1⟩ and ⟨−2,0,−5⟩, the angle between them can be obtained using the formula given below.θ = arccos((A.B)/|A| |B|) Where A and B are vectors, A.B is the dot product of A and B, |A| is the magnitude of A, and |B| is the magnitude of B.

According to the above formula, the angle between the given vectors is given by,

θ = arccos(((-4)*(-2) + (-2)*0 + (1)*(-5))/√((-4)² + (-2)² + (1)²) √((-2)² + 0² + (-5)²))

θ = arccos((-8 - 5)/√21 √29)

θ = arccos(-1.224)

θ = 116.8 degrees

Therefore, the angle between the given vectors, ⟨−4,−2,1⟩ and ⟨−2,0,−5⟩, is 116.8 degrees.

Find the cross product and dot product of the vectors ⟨2,−7,5> and ⟨−8,−2,0>.

Let the given vectors be A and B. The cross product of A and B is given by the formula,

A x B = |i j k| |A1 A2 A3| |B1 B2 B3|

Where i, j, k are the unit vectors along the x, y, z-axes respectively, and |A1 A2 A3| and |B1 B2 B3| are the components of vectors A and B respectively.

Using the above formula, the cross product of the given vectors can be found as follows.

A x B = |i j k| |2 -7 5| |-8 -2 0|

= i(-7*0 - 5*(-2)) - j(2*0 - 5*(-8)) + k(2*(-2) - (-7)*(-8))

= ⟨10, 40, -54⟩

Therefore, the cross product of the given vectors ⟨2,−7,5⟩ and ⟨−8,−2,0⟩ is ⟨10, 40, −54⟩.

The dot product of the given vectors is given by the formula,

A.B = (A1*B1 + A2*B2 + A3*B3)

Using the above formula, the dot product of the given vectors can be found as follows.

A.B = 2*(-8) + (-7)*(-2) + 5*0

= -16 + 14 + 0

= -2

Therefore, the dot product of the given vectors ⟨2,−7,5⟩ and ⟨−8,−2,0⟩ is -2.

Thus, the cross product and dot product of the vectors ⟨2,−7,5⟩ and ⟨−8,−2,0⟩ are ⟨10, 40, −54⟩ and -2 respectively.

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