Distributive property: find the missing factor VPI Use the distributive property of multiplication to find the missing number.
3 x 7 = 3 x ? + 3 x 5 ​

Answer:

Para resolver este problema, necesita usar un cálculo simple. Vamos X ser el precio del boleto. Cuando = 10 X = 10 , sabemos que 2000 2000 se venden asientos y que 100 100 se venden menos asientos por cada dólar de aumento de precio. Esto nos muestra la ecuación: asientos vendidos = 2000−100 ( − 10) = 2000 - 100 ( X - 10 ) Si multiplicamos esto por el precio del boleto, podemos encontrar el ingreso total R : = (2000−100 ( − 10)) R = X ( 2000 - 100 ( X - 10 ) ) = 2000 − 100 ( − 10) = 2000 X - 100 X ( X - 10 ) = 2000 − 1002 + 1000 = 2000 X - 100 X 2 + 1000 X = 3000 − 1002 = 3000 X - 100 X 2 Dado que estamos tratando de encontrar un máximo para esta expresión, podemos ejecutar esta función para ingresos a través de cualquier función analítica que aumente de manera monótona y su máximo ocurrirá al mismo valor de X . Por tanto, podemos dividir la ecuación por 100 100 encontrar: 30 − 2 30 X - X 2 Tomando la derivada con respecto a X , tenemos: 30−2 30 - 2 X ... y estableciendo esto en cero, tenemos: 0 = 30−2 0 = 30 - 2 X 2 = 30 2 X = 30 = 15 X = 15 Por último, podemos verificar que este es un máximo y no un mínimo porque la segunda derivada de nuestra función de ingresos es negativa. Por lo tanto, querrá poner el precio de sus boletos en $ 15.

The cost of apples when the number of apples bought is n can be found using the function:

    C(n) = 0.9n

What is a function?

A mathematical statement or rule that establishes the link between an independent variable and a dependent variable is called a function. Relationships called functions provide an output for each input. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Often, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range.

Assuming the question is the one given below.

Given a function C which gives the cost of buying the n apples in dollars.

The first expression given is:

1) C(5) = 4.50

The input of the function is 5 and the output is 4.50.

This means that when the number of apples is 5 the total cost is $4.50.

Let us assume the general equation of the function as below:

C(n) = kn

When n = 5

C(5) = 5k = 4.50

k = 4.50/5 = 0.9

Hence the function is C(n) = 0.9n

2) We found the function as C(n) = 0.9n

 C(2) means the cost when the number of apples is 2.

C(2) = 0.9 * 2 = $1.8

Therefore the cost of apples when the number of apples bought is n can be found using the function:

    C(n) = 0.9n

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If 24,783 is invested, part at 15% and the rest 9%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 9% by $894.09: 51,960 is invested at 15%, and 22,823 is invested at 9%.

Let's x represent the amount invested at 15%

Let the  amount invested at 9% = 24,783 - x.

Interest earned at 15% is 0.15 * x

Interest earned at 9% is 0.09 * (24,783 - x)

We can set up the equation: 0.15x = 0.09 * 24,783 - 0.09x + 894.09

Solving for x:

0.06x = 24,783 * 0.09 + 894.09

0.06x = 2223.47 + 894.09

0.06x = 3117.56

x = 51,960

So,

(24,783 - x)

24,783 - 51,960

= 22,823

Therefore 51,960 is invested at 15%, and 22,823 is invested at 9%.

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Answer:

Neither

Step-by-step explanation:

The image below shows that the lines aren’t parallel. They instead, intersect, but they are not perpendicular. So it’s neither.

Hope this helps! :)

the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).

what is  expression ?

In mathematics, an expression is a combination of mathematical symbols (such as numbers, variables, and operators) that represents a mathematical object or relationship.

In the given question,

We can use the trigonometric identity cos(a - b) = cos(a)cos(b) + sin(a)sin(b) to simplify cos(x - y), and cos(a + b) = cos(a)cos(b) - sin(a)sin(b) to simplify cos(x + y).

cos(x - y) = cos(x)cos(y) + sin(x)sin(y)

cos(x + y) = cos(x)cos(y) - sin(x)sin(y)

Therefore,

cos(x - y) - cos(x + y) = (cos(x)cos(y) + sin(x)sin(y)) - (cos(x)cos(y) - sin(x)sin(y))

= cos(x)cos(y) + sin(x)sin(y) - cos(x)cos(y) + sin(x)sin(y)

= 2sin(x)sin(y)

So, the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).

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simplify the expressions  cos(x − y) − cos(x + y) ?

The probability that at least 2 students feel like they can do better in their math class is E. 0.9130.

To find the probability that at least 2 students feel like they can do better, we need to calculate P(X >= 2). This can be done using the cumulative distribution function (CDF) of the binomial distribution:

P(X >= 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

Using the binomial probability formula, we can calculate:

P(X = 0) = (5 choose 0) * 0.6^0 * 0.4^5 = 0.01024

P(X = 1) = (5 choose 1) * 0.6^1 * 0.4^4 = 0.07680

Therefore,

P(X >= 2) = 1 - 0.01024 - 0.07680 = 0.91296

Rounding this to four decimal places, we get: 0.9130

Therefore, the answer is option E: 0.9130.

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The mean number of workers with a college degree is 40.8, and the standard deviation is 5.37.

The probability that the number of workers with a college degree is at least 35 is 0.976, or 97.6%.

Given Sample size (n) is 120 workers

Proportion of workers who are college graduates (p): 34% or 0.34

a) Mean and Standard Deviation:

The mean (μ) of a binomial distribution is given by μ = np, and the standard deviation (σ) is given by σ =√np(1 - p).

Substituting the values:

μ = 120 ×0.34 = 40.8

σ = √120 × 0.34 × (1 - 0.34)) = 5.37

To find the probability that the number of workers with a college degree is at least 35

we need to calculate the cumulative probability of the binomial distribution from 35 to the maximum possible value, which is 120 in this case.

Using a binomial probability calculator or a statistical software, we can find this probability.

Assuming a binomial distribution with parameters n = 120 and p = 0.34, the probability can be calculated as follows:

P(X ≥ 35) = 1 - P(X < 35)

The probability that the number of workers with a college degree is at least 35 is 0.976, or 97.6%.

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Answer:The expression is 6y - 4x

Step-by-step explanation:

Answer:

-4x+6y

Step-by-step explanation:

4x+6y-8x4

(4x-8x)+6y

−4x+6y

Answer: -2 and 4

Step-by-step explanation:

\(f(x) = \frac{-2x+2}{2x+4}\)            g(x) = -2x+8

Question asks what the domain is if we had f(x) ÷ g(x)

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{2x+4}\)  ÷                  >When dividing fractions, keep the first

                                                      Change the sign, flip the second fraction

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{2x+4} * \frac{1}{-2x+8}\)        

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{(2x+4)(-2x+8)}\)          

> you can never get a 0 on the bottom of division so that is where the exception of what x cannot be.

2x+4 = 0

2x= -4

x =  -2

and

-2x+8 = =

-2x = -8

x = 4

So x cannot be -2 and 4

Answer: 2

Step-by-step explanation:

turn 1 3/4 to 7/4 then turn 3 2/3 to 11/3. Multiplyby 3 and 4 correspondingly to get a denominator of 12. You would end up with 44/12 and 21/12. By doing simple addition you can see that 2 of the 21/12 molds fit into the 44/12 mold.

Answer:

Step-by-step explanation:

sum of angles in a triangle=180º

90+60x+30x=180

90+90x=180

90(1+x)=180

1+x=2

x=1

angle A=30º

Answer:

30 is not included

Step-by-step explanation:

The way this stem works is that it separates the numbers for better sorting.

Example:

Set that records 11, 12, 24, 28, 32, 32

The stem and leafs would look like

1    1 2

2   4 8

3   2 2

The sampled bold number indicates that 2 and 8 make up 28.

If you look at the plot, there was no 3 and 0 that would make 30. So that does not exist.

Answer:

The 95% confidence interval of the population mean total daily travel taxes for Chicago is ($39.13, $41.49).

Step-by-step explanation:

The first step, before building the confidence interval, is finding the mean of the data set.

We are given 200 values, and the with the help of a calculator, the mean of this values is of 40.31.

Confidence interval:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population(8.50, as given in the problem) and n is the size of the sample(200).

\(M = 1.96\frac{8.50}{\sqrt{200}} = 1.18\)

The lower end of the interval is the sample mean subtracted by M. So it is 40.31 - 1.18 = $39.13.

The upper end of the interval is the sample mean added to M. So it is 40.31 + 1.18 = $41.49.

The 95% confidence interval of the population mean total daily travel taxes for Chicago is ($39.13, $41.49).

Answer:

($39.132, $41.488)

A step-by-step explanation is mentioned in the attached image

Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

Answer:

24 I think???

Answer:

-1.5

Step-by-step explanation:

-4x-6=0

+6       +6

-4x=6

---------

  -4

x=-1.5

-4(-1.5)-6=0

6-6=0

0=0

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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There can be multiple outputs (monthly charges) for a given input (number of credit cards), violating the definition of a function. hence, Situation 3 does not represent a function.

Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned does not represent a function.

In a function, each input (or x-value) should have a unique output (or y-value). However, in this situation, the total amount of money charged monthly on credit cards depends on the number of credit cards owned. It is possible to have different credit card numbers but still have the same total amount of money charged monthly.

For example, two people could own different numbers of credit cards but have the same monthly charges.

As a result, the definition of a function can be violated by having many outputs (monthly charges) for a single input (number of credit cards).

Because of this, case 3 does not represent a function.

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The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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Answer: 16.3 cm

Step-by-step explanation:

2.5 meters = 98.4252 inches.

(Round to 98.4)

98.4 - 11.5 = 86.9

(keep subtracting till you can't subtract 11.5 anymore w/o getting a negative number)

6.4 in = 16.3 cm (multiply the length value by 2.54)

16.3 cm left over.

Answer:

They are not

Step-by-step explanation:

4/5 cannot be simplified, plus 1/2 indicates half of a fraction but 4/5 is not half if a fraction, therefore they are not equivalent.

Step-by-step explanation:

(x-2)^2 + (y-9)^2   = r^2

this is of the form fora circle with center  h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

for the equation given   center =   2, 9    and radius = r

Answer:

Step-by-step explanation:

Answer:

Please try to use this as a site for helping others.

Step-by-step explanation:

The measure of ∠A is 49.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Vertical angles are equal.

∠A = 8x - 23

∠B = 6x - 5

Now,

8x - 23 = 6x - 5

8x - 6x = -5 + 23

2x = 18
x = 9

Now,

∠A.

= 8x - 23

= 8 x 9 - 23

= 72 - 23

= 49

Thus,

∠A is 49.

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The function is computed below based on the information. The answers will be:

1. -11

2. -1

f(x) = x²-11x+28

g(x) = x-4

(f+g)(-5) = (-5² - 11 × 5 + 28) + (-5 - 4)

= 25 - 55 + 28 - 9

= -11

(f-g)(5)

= = (5² - 11 × 5 + 28) + (5 - 4)

= 25 - 55 + 28 + 1

= -1

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Answer:

da,

Step-by-step explanation:

Answer:

of which can be considered the “correct” value. The percent difference is the absolute value of the difference over the mean times 100. quantity, T, which is considered the “correct” value. The percent error is the absolute value of the difference divided by the “correct” value times 100.

Step-by-step explanation:

Answer:

2.81474977E14

Step-by-step explanation:

hope you have a nice day

Answer:

1/13

Step-by-step explanation:

Step-by-step explanation:

So, drawing a given unit has a probability of 4/52=1/13. Once a card of a certain unit is drawn, there are just 3 cards of the same unit left, so the probability of drawing the second of the same unit is 3/51=1/17.

Answer:

width = 10 cm

Step-by-step explanation:

the ratio of width to length is 2 : 5 = 2x : 5x ( x is a multiplier )

the perimeter (P) of a rectangle is calculated as

P = 2 × width + 2 × length

given P = 70 then

2(2x) + 2(5x) = 70

4x + 10x = 70

14x = 70 ( divide both sides by 14 )

x = 5

Then

width = 2x = 2 × 5 = 10 cm and length = 5x = 5 × 5 = 25 cm