You have purchased 10 large pizzas in order to prepare for a party that will
be equally shared amongst the guests, but you are not sure how many guests
will arrive. the function models the amount of pizza each person gets as a
function of how many guests arrive.
s(x) = 10x^2
s(x) = 10x
s(x) = 1.10^x
s(x) = square root of 10x
s(x) = 1(1/10)^x

The required coordinates of A' are (0, 0).

A translation is a geometric transformation in Euclidean geometry that moves every point of a figure, shape, or space the same distance in a particular direction. The addition of a constant vector to each point or the shifting of the coordinate system's origin are both examples of translations.

To translate a point right 5 units and down 2 units, we add 5 to the x-coordinate and subtract 2 from the y-coordinate.

For point A, the x-coordinate is -5 and the y-coordinate is 2, so:

x-coordinate of A' = -5 + 5 = 0

y-coordinate of A' = 2 - 2 = 0

Therefore, the coordinates of A' are (0, 0).

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The answer to your question is that the candidate can indeed increase their chances of winning the luxury car by switching their choice to door "C".

This problem is known as the Monty Hall problem, named after the host of a popular game show called " Let's Make a Deal," where a similar scenario was presented to contestants.

To prove this, let's consider the two scenarios:

Scenario 1: The candidate stays with their original choice (door "A").

In this scenario, the candidate's initial probability of choosing the car is 1/3 since there are three doors, and the car is equally likely to be behind any of them. The probability that the car is behind door "A" remains 1/3.

Scenario 2: The candidate switches their choice to the remaining closed door (door "C").

In this scenario, we need to consider the possible configurations of the car and goats. Let's assume the car is behind door "A" (probability 1/3):

If the candidate initially chose door "A," switching to door "C" would result in a loss (getting a goat).

If the candidate initially chose door "B," switching to door "C" would result in a win (getting the car).

If the candidate initially chose door "C," switching to door "C" would result in a win (getting the car).

In this scenario, there are two out of three possible configurations where switching to door "C" results in a win.

Since the initial probability of the car being behind door "A" is 1/3 and switching to door "C" results in a win in two out of three possible configurations, it follows that switching increases the candidate's chances of winning the car to 2/3. Therefore, the candidate should switch their choice to door "C" to maximize their chances of winning.

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Answer:

yw

Step-by-step explanation:

i dont get it

Answer:

Samantha and Henry are would need to plant 15 tulips and 9 daises.

or 3 sets.

The probability of rolling the die once to get a four is 1/6

So we do 1/6*1/6*1/6 which is 1/216 since it's combined probabilities

Hope this helped

Answer:

9 years

Step-by-step explanation:

Given data

Principal= $10000

Rate= 3%

Final amount= $12700

The simple interest expression is given as

A=P(1+rt)

substitute

12700=10000(1+0.03*t)

12700=10000+300t

collect like terms

12700-10000= 300t

2700=300t

divide both sides by 300

t= 2700/300

t= 9 years

Answer:

4,641

Step-by-step explanation:

Answer: it would be 4641

Step-by-step explanation:

Because when you multiply 91 and 51 that’s the answer you get

Answer:

x=1.2

Step-by-step explanation:

First, you have to subtract 17.56 from both sides

then you get 12.6=5x

then you have to divide both sides by five

if you do that you get x=1.2

Answer:

2.52

Step-by-step explanation:

Therefore, the abundance of copper-63 (Cu-63) is approximately 71.44% and the abundance of copper-65 (Cu-65) is approximately 28.56%.

To find the abundance of each isotope of copper, we can set up a system of equations using the average mass and the masses of the individual isotopes.

Let x represent the abundance of copper-63 (Cu-63) and y represent the abundance of copper-65 (Cu-65).

The average mass is given as 63.5 amu, which is the weighted average of the masses of the two isotopes:

(62.9296 amu * x) + (64.9278 amu * y) = 63.5 amu

We also know that the abundances must add up to 100%:

x + y = 1

Now we can solve this system of equations to find the values of x and y.

Rearranging the second equation, we have:

x = 1 - y

Substituting this into the first equation:

(62.9296 amu * (1 - y)) + (6.9278 amu * y) = 63.5 amu

Expanding and simplifying:

62.9296 amu - 62.9296 amu * y + 64.9278 amu * y = 63.5 amu

Rearranging and combining like terms:

1.9982 amu * y = 0.5704 amu

Dividing both sides by 1.9982 amu:

y = 0.5704 amu / 1.9982 amu

y ≈ 0.2856

Substituting this back into the equation x = 1 - y:

x = 1 - 0.2856

x ≈ 0.7144

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As per the information provided, a = 4√3/3 + 4, b = 4 - 4√3/3 the answer can be calculated with optimization method. it will be as follows:

Sum of a and b is 8, we get

a+b=8

b=8−a

Now, let x=a−b

Then we get,

\(x=a−(8−a) \\ x=2a−8 \\ x+8=2 \\ 1 \div 2x+4=a

\)

we use this to answer to solve for b

\(b=8−a \\ =8−(1 \div 2x+4) \\ =4−1 \div 2x

\)

Now we use the product of two numbers and its difference. This can be expressed as:

\(a⋅b⋅x=(1 \div 2x+4)(4−1 \div 2x) \\ x=2 {x}^{2} − \frac{1}{4} {x}^{3} +16x−2x^{2} \\ =−14x^{3} +16x

\)

Thus, this expression that we need to maximize. Take the derivative, set it equal to zero, and solve for x

\(−3 \div 4x ^{2} +16=0 \\ 16 =3 \div 4 x ^{2} \\ 643=x \\ 28√3 \div 3=x\)

Now for us to check that this is a maximum, we have to note that the second derivative is

\(−3 \div 2x

\\ At \\

x=8√3 \div 3

\)

the second derivative is −4√3. Since this number is negative, the point is a maximum.

Now we must find the values of a and b for this x. We have to use the relationship

\(a=1 \div 2x+4\)

\(a=1 \div 2 \times 8√3 \div 3+4 \\ =4√3 \div 3+4\)

now we use the relationship b=8−a

\(b=8−(4√3 \div 3+4) \\ =4−4√3 \div 3\)

The first step in determining a function's maximum or minimum value is differentiating it. Then, set this derivative to zero and conduct the computation.

x. This will reveal the location of a function's maximum or minimum, but it won't reveal which.

Take the second derivative to get more details. A local maximum occurs when both the first and second derivatives are negative. You have a local minimum when both the first derivative and the second derivative are zero.

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Answer:

10 oranges

Step-by-step explanation:

6 oranges is sold for $4.80

1 orange= 4.80/6

= $0.8

Austin spent $8.00 on oranges, then the amount of oranges he bought with this amount can be calculated as follows

= 8/0.8

= 10 oranges

Answer:the mode is 2 1/2 because it repeats twice

Step-by-step explanation:repeats twice

At the Digital animation studio, character designers outnumber interns by 320.

Let's break down the information given in the circle graph and find out how many more character designers there are than interns.

1. Determine the number of employees for each job type by multiplying the percentage by the total number of employees (1600):
- Interns: 5% * 1600 = 80 employees
- Set Shading: 10% * 1600 = 160 employees
- Character Shading: 10% * 1600 = 160 employees
- Story Artist: 20% * 1600 = 320 employees
- Character Design: 25% * 1600 = 400 employees
- Animator: 30% * 1600 = 480 employees

2. To find how many more character designers there are than interns, subtract the number of interns from the number of character designers:
- Character Design - Interns = 400 - 80 = 320 employees

In conclusion, there are 320 more character designers than interns at the digital animation company.

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Answer:

113 degrees

Step-by-step explanation:

2 and 7 are equal, so 0 and 2 will equal the same as 3 and 7, and both equal 180... Do 180-67=113

This statement is true. Statistical inference is the process of deriving conclusions about a population from a sample.

The process of statistical inference uses probability theory to draw conclusions from data. It is important to note that the conclusions drawn from a sample of data may not be accurate conclusions about the entire population.Statistical inference involves several steps. First, a random sample of data is selected from the population. Second, the data is analyzed to identify patterns and trends that may exist in the population. Third, a statistical model is used to make inferences about the population based on the sample data. In statistical inference, we use the following equation to calculate the probability of a certain event occurring: P(A|B)=P(B|A)P(A)/P(B), where A and B are two events. In this equation, P(A|B) is the probability that event A occurs given that event B has already occurred. P(B|A) is the probability that event B occurs given that event A has already occurred. P(A) is the probability of event A occurring, and P(B) is the probability of event B occurring.Statistical inference is a powerful tool for drawing conclusions from data.

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Answer:

yes

Step-by-step explanation:

The absolute value is only greater than or equal to zero.

Answer: 3a

Step-by-step explanation: 4a - 1a = 3a

The size of the crowd is 16,896 standing along a 1 mile section of a parade route that is 8 feet deep on both sides of the street.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given that the size of a crowd standing along a 1-mile section of the parade route that is 8 feet deep on both sides of the street assumes that each person occupies 2.5 square feet.

Since 1 mile is equal to 5280 feet thus,

⇒ 5280 × 8

⇒ 42,240

If one person per 2.5 square feet

Divide this by the amount of space a person occupies

⇒ 42240/2.5

⇒ 16,896

Hence, the size of the crowd is 16,896 standing along a 1-mile section of a parade route that is 8 feet deep on both sides of the street.

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The dimensions of the rectangle are length and width are 6 and 11.6      respectively.

L = 3w - 11 ,

where,

L = length of the rectangle and

W =width of the rectangle

A=LW

Here A is Area of the Rectangle which is product of its dimensions i.e., length and breadth.

LW = 42

substituting for l:-

(3W-11)W= 42

3W^2 - 11W - 42 = 0

(3W + 10)(W - 6) = 0

W = 6 or -10/3  (ignore the negative root)

So the width is 6 and the length is 70/6= 11.6

The rectangle's length and width are therefore 6 and 11.6, respectively.

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Answer: y=-1x-8

Step-by-step explanation:

The first step is to: Move the 'X' to the right side of the equation.

The second step is to: Divide the 'Y'

But since the 'X' is already on the right side you will just divide the 'Y'. If the 'X' was on the left then you will follow those steps that I gave you at the beginning in order to get it in the y=mx+b.  

So it will look like this:

2y=-1x-8

y=-1x-8

y= -1(is the slope)x-8(is the Y-intercept)

So, if you have to graph this you will graph it starting with negative 8 as the y-intercept. Then you will go down one and over 1.

Answer:

9x^2-9x-18=0

9x+2=11x-9x-18=0

9x+2=21x-18=0

9x+2=3x-3^=0

Answer:

Step-by-step explanation:

Formula

\(\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}\)

Givens

a = 9

b = - 9

c = -18

Solution

\(\frac{- (-9) +/- \sqrt{(-9)^2 - 4*9*(-18)} }{2*9}\\\\\frac{9 +/- \sqrt{81 + 4*9*18} }{18} \\\\\frac{9 +/- \sqrt{ 81 + 288} }{18}\\\\\)

9 +/- √369

=============

      18

9 +/- 3*√41

==========

      18

x = 9 +/- 19.209

     =========

        18

x = 1.567

or

x = -.567

Answer: 9,903.32

Step-by-step explanation: 1. y= 21000(1-0.08625)^x

2. y=21,000(1-0.08625) 100/12 = 9,903.32 replace x with 100/12

The value of Laura's car will be $9,903.32 after 100 months.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The concepts of counting are permutation and combination, and they are used in a variety of contexts. A permutation is a list of the various configurations that can be created from the given set of items. Details are crucial in permutation because the order or sequence is crucial. The order in which the names of the three countries are written matters, whether they are written as "USA, Brazil, Australia" or "Australia, USA, Brazil" or "Brazil, Australia, USA." When combined, the names of three nations form a single unit, regardless of their chronological order.

1. y= 21000(1-0.08625)^x

2. y=21,000(1-0.08625) 100/12 = 9,903.32 replace x with 100/12

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Answer:

12:45 pm

Step-by-step explanation:

She started at 8:15 we can add the 15 minutes to 30 minutes and get 45 minutes  then we add the 4 hours to 8 am  and get 12 pm. add the 45 minutes and you get 12:45 pm

true.

although maybe you should flip it.

3h+2k+9

instead of nine going first.

Answer: Table 3

Step-by-step explanation:

exponential relationship means the y value is increasing/decreasing exponentially

In table 1: the value of y is NOT increasing/decreasing exponentially as 2 is being added continuously (linear), so not table 1

In table 2: the value of y is NOT increasing/decreasing exponentially as 4 is being subtracted continuously (linear), so not table 2

In table 3: the value of y IS increasing exponentially as the y variable is multiplied by 2, so table 3

In table 4: the value of y is NOT increasing exponentially as the y variable is only being increased by 5 constantly (linear), so not 4

The probability comes out to be 0.2296

We need to calculate the probability of each jet waiting at least 10 minutes before takeoff.

P(X≥10)=?

Let Z be the standard normal variable.

Z=(X-μ)/σ

Where μ is the mean of the taxi and take-off time for commercial jets and σ is the standard deviation of the taxi and takeoff time for commercial jets.

Z=(X-8.3)/2.3

Using the z-score formula, Z=(X-μ)/σ, we can standardize the value of the variable X to get its respective z-score value, z.

With a mean of 8.3 and a standard deviation of 2.3, the standardized score for a taxi and takeoff time of 10 is:

z=(10-8.3)/2.3 = 0.73913

The probability of a jet waiting at least 10 minutes before takeoff can be calculated as follows:

P(X≥10) = P(Z≥0.73913)

The probability of a standard normal random variable z is greater than or equal to 0.73913 is:

1 - Φ(0.73913)

where Φ(z) is the standard normal distribution function.

Using a standard normal distribution table or calculator, we find that:

Φ(0.73913) = 0.7704

Therefore: P(X≥10) = P(Z≥0.73913)= 1 - Φ(0.73913)= 1 - 0.7704= 0.2296

Thus, the probability of each jet waiting at least 10 minutes before takeoff is 0.2296.

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Answer:

To find the height of this prism, let's use the formula for the volume of a rectangular prism:

V = l · w · h

And this is what we know:

Now we are left to find the height, so plug in what we know into the formula I mentioned earlier:-

V = l · w · h

35 = 22 · 2.5 · h

Solve for 'h'!

35 = (22 · 2.5) · h

35 = 55 · h

35 = 55h

÷55  ÷55

35/55 = h

Which simplifies to:

7/11 = h, the height is 7/11 inches.

Double check;

V = l · w · h

V = 22 · 2.5 · 7/11

V = 35, which is correct!

Answer:21.1 in ^3

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

The median in a stem-and-leaf diagram is the number that is repeated the most. In this case, the number 78 is repeated 4 times (7 | 8 8 8 8). No other number in the diagram is repeated as much or more than the number 78.

Do not make the mistake of writing the answer as 8 instead of 78.You also want to make sure you don't accidently count 68 which is repeated twice (by looking at the 8's at the end and thinking it's part of the all/rest of the 8's in the diagram).

Hope this helps :)

Answer:

32t

Step-by-step explanation:

parallelogram. two opposite sides r equal.

2(8t+2)+2(8t-2)

16t+4+16t-4

32t