Maria and Javier are taking a trip to a crafts store to buy supplies for an arts project. Maria buy 11 packs of ribbon and 16 neon markers for a total of $6.23. Javier buys 13 packs of ribbon and 7 neon markers for a total of $6.41.

Write a system of equations to represent the cost of the ribbon, r and markers, m.

Solve your system to determine the cost of each item.

Answer:

1 +6 x + 12 x 2 + 8x 3

Explanation:

We must use our knowledge of the binomial expansion:

Method 1:

We can use:

(

x

+

1

)

n

=

1

+

n

x

+

n

(

n

−

1

)

2

!

x

2

+

n

(

n

−

1

)

(

n

−

2

)

3

!

x

3

+

...

Substituting  

n

=

3

and  

x

for  

2

x

⇒

(

2

x

+

1

)

3

=

1

+

(

3

⋅

2

x

)

+

3

⋅

2

2

!

⋅

(

2

x

)

2

+

3

⋅

2

⋅

1

3

!

⋅

(

2

x

)

3

=

1

+

6

x

+

12

x

2

+

8

x

3

Method 2:

We can use:

(

A

+

B

)

n

=

A

n

+

(

n

1

)

A

n

−

1

B

1

+

(

n

2

)

A

n

−

2

B

2

+

...

Letting  

A

=

2

x

and

B

=

1

for this circumstance:

(

2

x

+

1

)

3

=

(

2

x

)

3

+

(

3

1

)

(

2

x

)

2

(

1

)

+

(

3

2

)

(

2

x

)

1

(

1

)

2

+

(

3

3

)

(

2

x

)

0

(

1

)

3

=

8

x

3

+

12

x

2

+

6

x

+

1

Step-by-step explanation:

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

The value of the given function f(4 + h) - f(4) is 5h(x)² + 40h(x)

A function is a mathematical concept that maps a set of inputs to a set of outputs with a definite rule. In mathematics, a function is a set of ordered pairs (input, output) where each input is associated with exactly one output. The input is usually referred to as the argument of the function and the output is the value of the function at that argument.

f(x) = 5x²

f(4 + h) - f(4)

f(4 + h(x)) = 5(4 + h(x))²

f(4) = 80

Substituting the values into each other;

5(4+h(x))² - 80

f(4 + h) - f(4) = 5h(x)² + 40h(x)

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Answer:3x10^0 or 3x10 to the power of 0

Step-by-step explanation:

I did the same exact one with my teacher i hope this helps you

\(\huge{\boxed{\sf{y= 12 - 6x}}}\)

Step by step explanation:

Step 1:

\(2x + \dfrac{y}{3} = 4 \)

Step 2:

\( \implies \dfrac{2x \times 3 + y}{3} = 4\)

Let take LCM

Step 3:

\(\implies \dfrac{6x + y}{3} = 4\)

Step 4:

\(\implies6x + y = 4 \times 3\)

Step 5:

\(\implies6x + y = 12\)

Step 6:

\(\blue{\implies y= 12 - 6x✓}\)

thank you❤️

\(5 + n = 12 \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)

Answer:

c I do believe good luck with the answer

Answer:

C is the answer. Hope it helps

Where a and b are determined by the value of D.

A parabola is a type of graph, or curve, that is represented by an equation of the form y = ax² + bx + c. The vertex of a parabola is the point where the curve reaches its maximum or minimum point, depending on the direction of the opening of the parabola. In this case, the vertex of the parabola is at (-4,-1).
To find the equation of the parabola, we need to know two more points on the graph. We are given that when the y-value is 0, the x-value is 10-D. We can use this information to find another point on the graph.
When the y-value is 0, we have:
0 = a(10-D)² + b(10-D) + c
Simplifying this equation gives:
0 = 100a - 20aD + aD² + 10b - bD + c
Since the vertex is at (-4,-1), we know that:
-1 = a(-4)² + b(-4) + c
Simplifying this equation gives:
-1 = 16a - 4b + c
We now have two equations with three unknowns (a,b,c). To solve for these variables, we need one more point on the graph. Let's use the point (0,-5) as our third point.
When x = 0, y = -5:
-5 = a(0)² + b(0) + c
Simplifying this equation gives:
-5 = c
We can now substitute this value for c into the other two equations to get:
0 = 100a - 20aD + aD² + 10b - bD - 5
-1 = 16a - 4b - 5
Simplifying these equations gives:
100a - 20aD + aD² + 10b - bD = 5
16a - 4b = 4
We now have two equations with two unknowns (a,b). We can solve for these variables by using substitution or elimination. For example, we can solve for b in the second equation and substitute it into the first equation:
16a - 4b = 4
b = 4a - 1
100a - 20aD + aD² + 10(4a-1) - D(4a-1) = 5
Simplifying this equation gives:
aD² - 20aD - 391a + 391 = 0
We can now use the quadratic formula to solve for D:

D = [20 ± sqrt(20² - 4(a)(391a-391))]/2a
D = [20 ± sqrt(400 - 1564a² + 1564a)]/2a
D = 10 ± sqrt(100 - 391a² + 391a)/a
There are two possible values for D, depending on the value of a. However, since we don't have any information about the sign of a, we cannot determine which value of D is correct. Therefore, the final equation of the parabola is:
y = ax² + bx - 5

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A test of significance is used to draw inferences about the population based on a sample and assess the significance of the observed effect.

A test of significance helps in answering the question, "Is the observed effect due to chance?" In statistical terms, it determines whether the difference between the sample mean and population mean is statistically significant or just a result of random sampling error. A test of significance helps in identifying whether the difference observed in the sample is large enough to conclude that the effect is real and not just a chance occurrence.

It calculates the probability of obtaining such a difference if the null hypothesis (no difference) is true. If this probability is less than the predetermined significance level, we reject the null hypothesis and accept that the effect is statistically significant. Therefore, a test of significance is used to draw inferences about the population based on a sample and assess the significance of the observed effect.

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Answer: the probability that a person has a positive test result given that person is healthy is 0.01the probability that a patient has a positive test result given that person has COVID is 0.98

Step-by-step What is the probability that a patient has COVID if that person tested positive for COVID?The test seem to have high accuracy. After being tested positive, the probability that you have COVID should be high, right?Before settling down with that guess, let’s use Bayes’ theorem to answer this question.

I'll do parts (a) through (c) to get you started

(a) False. The explanatory variable is always along the x axis, and the response variable is along the y axis. The response variable reacts to whatever the input explanatory variable is, hence the name "response".

---------

(b) True. If all data lie along a single straight line with nonzero slope, then either r = -1 or r = 1. If we have all data points on a line with some negative slope, then r = -1. If the regression slope is positive, then r = 1. Either way, it will lead to r^2 = 1 because (1)^2 = 1 and (-1)^2 = 1. In other words, there are two solutions to r^2 = 1 and they are r = -1 or r = 1. In the case of r = -1, we say the data has perfect negative linear correlation. With r = 1, the data has perfect positive linear correlation.

---------

(c) True. If r > 0, then we have some level of positive correlation which means the regression slope is positive in some way. If r < 0, then the regression slope is negative in some way. That must mean r = 0 leads to the regression slope having a flat horizontal line. This could mean one of two things: i) The points are all on or near the same curve such as a parabola, ii) The points are completely randomly scattered about. If case (i) happens, then it's better to use nonlinear regression instead of linear regression.

Options a, b, d, and g are the correct conditions for a Binomial Distribution.

The four conditions necessary for X to have a Binomial Distribution are:

a. There are n set trials: In a binomial distribution, the number of trials, denoted as "n," must be predetermined and fixed. Each trial is independent and represents a discrete event.

b. The trials must be independent: The outcomes of each trial must be independent of each other. This means that the outcome of one trial does not influence or affect the outcome of any other trial. The independence assumption ensures that the probability of success remains constant across all trials.

d. There can only be two outcomes, a success and a failure: In a binomial distribution, each trial can have only two possible outcomes. These outcomes are typically labeled as "success" and "failure," although they can represent any two mutually exclusive events. The probability of success is denoted as "p," and the probability of failure is denoted as "q," where q = 1 - p.

g. The probability of success, p, is constant from trial to trial: In a binomial distribution, the probability of success (p) remains constant throughout all trials. This means that the likelihood of the desired outcome occurring remains the same for each trial. The constant probability ensures consistency in the distribution.

The remaining options, c, e, and f, are not conditions necessary for a binomial distribution. Option c, "Continue sampling until you get a success," suggests a different type of distribution where the number of trials is not predetermined. Options e and f, "You must have at least 10 successes and 10 failures" and "The population must be at least 10x larger than the sample," are not specific conditions for a binomial distribution. The number of successes or failures and the size of the population relative to the sample size are not inherent requirements for a binomial distribution.

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600 cactus wren nests the experimenter would expect to be in the entire 200-acre preserve.

To estimate the number of cactus wren nests in the entire 200-acre preserve, we can use the ratio of the area surveyed to the number of nests found.

Let's call the number of nests in the entire 200-acre preserve "N".

The ratio of the area surveyed to the number of nests found is:

2 acres / 6 nests = 200 acres / N nests

We can use this ratio to find the number of nests in the entire 200-acre preserve:

N nests = 200 acres * (6 nests / 2 acres)

N nests = 200 * 3

N nests = 600

So the experimenter would expect to find approximately 600 cactus wren nests in the entire 200-acre preserve, assuming that the habitat is fairly uniform.

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Answer:.75x200

Step-by-step explanation:

Answer:

75/200*100

Step-by-step explanation:

The probability that Antoine's marble will also be green would be = 3/13

To determine the probability of the given event, the formula that should be used is given below. That is;

Probability = possible outcome/sample space.

The sample space = 4+7+9+6 = 26 marbles.

The number of green marbles = 6

The probability of choosing green marbles = 6/26 = 3/13

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Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

The expression that is equivalent to the given quotient of the algebraic expression is; C: 3(x - 1)

We are given the algebraic expression;

[(3x² - 3)/(x² + 3x)]/[(x + 1)/(x(x + 3))]

The algebra can be simplified as;

[3(x² - 1)/x(x + 3)] * (x(x + 3))/(x + 1)

x(x + 3) will cancel out to give;

3(x² - 1) * 1/(x + 1)

This can be simplified further to get;

3(x + 1)(x - 1) * 1/(x + 1)

⇒ 3(x - 1)

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Answer:

The value of this expression is 48

Step-by-step explanation:

15 + c2 * d - c3

c = 3

d = 7

Substitute the values of c and d

15 + (3)2 * 7 - (3)3

Multiply the parenthesis first

15 + 6 * 7 - 9

Now multiply 6 and 7

15 + 42 - 9

Now add 15 and 42

57 - 9

Now subtract

= 48

Answer:

48

Step-by-step explanation:

When you write out the problem it should look like this

15+c⋅2⋅d-c⋅3

or in other form

15+3⋅2⋅7-3⋅3

You can solve using PEMDAS

Paratheses

Exponents

Multiplication

Division

Addition

Subtraction

Just use those in order and you should find to answer.

-Rocketgamer360

Answer:

7

Step-by-step explanation:

The standard model equation here is

y = mx+b

Now,

x and y are the variables

b is y-intercept, it means it is the value of y-coordinate on y axis where this line intercepts on y-axis

m = slope or rate of change or angle ∅ this line making with x -axis.

now arrange function A according to standard model equation

y = (8)x + 3

now, by comparison of standard and function A

m(A) = 8 and b(A) = 3

For function B

it is given that rate of change or slope is 1 and y-intercept is 4

so for function b

m(B) = 1 and b(B) = 4

Now question is about how much slope of function A is more than slope of function B

m(A)-m(B) = 8-1 = 7

So answer is 7.

Answer:

James deliver newspaper in 1 hour=130

Marks deliver newspaper in 1 hour= 210/3=70

so lf they work together to deliver 1000 newspaper they take 130+70=200. 1000/200=5.

so they take 5 hours to deliver 1000 newspaper.

It would take 5 hours for James and Mark to deliver 1000 newspapers.

Equation is an expression used to show the relationship between two or more variables and numbers.

James delivers 130 papers in one hour (130/1) and Mark delivers 210 papers in three hours(70 papers in 1 hours), hence:

For 1000 newspapers:

(130 + 70)t = 1000

t = 5 hours

It would take 5 hours for James and Mark to deliver 1000 newspapers.

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When using the approximation sin θ ≈ θ for a pendulum, it is important to specify the angle θ in radians only (option a).

This approximation is derived from the small-angle approximation, which states that for small angles, the sine of the angle is approximately equal to the angle itself when expressed in radians. This approximation becomes more accurate as the angle decreases, and is generally valid for angles less than about 10 degrees (0.174 radians).

The reason for using radians in this approximation is that radians are a more natural unit for angles in mathematical calculations, as they are dimensionless and relate directly to the arc length on a circle. Degrees and revolutions are more convenient for everyday use but can introduce scaling factors in mathematical expressions, complicating calculations.

To ensure accuracy and proper application of the small-angle approximation for pendulums, always express the angle θ in radians when using sin θ ≈ θ.

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Answer:

1/2

Step-by-step explanation:

hope it helps :)

Answer:

87 Adult tickets were sold

Step-by-step explanation:

This type of question relates to a system of equations. These types of questions are pretty easy to spot and they are just about solved all the same way.

So what we first want to do is see that there is a total of 159 tickets sold. Now obviously that number consists of the adult and children tickets, therefore we need to add those two unknown numbers to get 159, so x will be for adults and y will be for children tickets. this will give us the equation x + y= 159.

Next, we want to associate the amount those tickets are with those variables, because you can only have so many adult tickets and children tickets with the given $1794. So what we need to do is similar, we just have those totals added to get the equation 14x + 8y = 1794.

Now we want to use the process of elimination to find the value of x (because we are solving how many adult tickets were sold). IN order to do elimination, we need to have the equation x + y= 159 cancel the y value to leave us with the x value. In order to do this, you need to multiply y by a value that cancels 8y in 14x + 8y = 1794, which is -8.

So we multiply the entire equation of x + y= 159 by -8 to get. Now we would add these equations together where you subtract by like terms so:

\(14x + 8y = 1794\\-8x - 8y = -1272\)

This leaves us with 6x=522 now you would divide by 6 to isolate x which leaves you with 87.

Answer:

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

Step-by-step explanation:

there

(a) The probability that the first pass he completes is the second pass is approximately 0.013.

(b) The probability that the first pass he completes is the first or second pass is approximately 0.019.

(c) The probability that he does not complete his first two passes is approximately 0.316.

To find the probability, we use the geometric distribution. In this case, the football player completes a pass 69.1% of the time, which means the probability of completing a pass is 0.691.

(a) To find the probability that the first pass he completes is the second pass, we are essentially looking for the player to fail on his first pass and then succeed on his second pass. The probability of failing the first pass is (1 - 0.691) = 0.309. Since the geometric distribution deals with the probability of the first success occurring on a specific trial, we use the formula P(X = k) = (1 - p)^(k-1) * p, where p is the probability of success. Plugging in the values, we get P(X = 2) = (0.309)^(2-1) * 0.691 ≈ 0.013.

(b) To find the probability that the first pass he completes is the first or second pass, we need to calculate the probability of succeeding on either the first or second pass. This can be calculated as P(X = 1) + P(X = 2), where P(X = k) is calculated using the geometric distribution formula. Therefore, P(X = 1) = 0.691 and P(X = 2) ≈ 0.013, giving us a total probability of approximately 0.691 + 0.013 ≈ 0.019.

(c) To find the probability that he does not complete his first two passes, we need to calculate the probability of failing on both the first and second pass. Using the complement rule, the probability of not completing a pass is (1 - 0.691) = 0.309. Therefore, the probability of failing on the first two passes is P(X = 1) * P(X = 2), which is approximately 0.309 * 0.309 ≈ 0.316.

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Answer:

The cost is $75

Step-by-step explanation:

Given

\(y = 25x\)

Required

Cost of 3 cubic yards -- Missing from the question

The required means that: \(x = 3\)

Plug in \(x = 3\\\) to \(y = 25x\)

\(y = 25 * 3\)

\(y = 75\)

The cost is $75

Answer:

(See the attachment)

Step-by-step explanation:

None

Answer: Answer below

Step-by-step explanation:

The expression that shows how many sweatshirts were not adult sizes is  s - 19 .

Given :

the lacrosse team sold s team booster sweatshirts, and 19 of them were adult sizes.

Expression :

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Expression = number of sold sweatshirts - number of adult sizes.

= s - 19.

This gives the number of sweatshirts that are not adult sizes

if s = 25

then not adult sizes sweatshirts = s - 19

= 25 - 19

= 6

Hence the expression is s - 19.

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ŷ = 0.8X + 0.5 is the best fit of the given data set.

Given points on the data set such that,

(1, 1), (2, 3), (3, 2), and (4, 4)

From the general formula of linear regression,

Regression Equation = ŷ = bX + a

Where,

b = SP/SSX

a = MY - bMX

SP(Sum of products) = 4

SSX(Sum of squares) = 5

\(M_y\\\)(Mean of y) = 2.5

\(M_X\)(Mean of x) = 2.5

Thus,

b = SP/SSX = 4/5 = 0.8

a = MY - bMX = 2.5 - (0.8*2.5) = 0.5

Therefore, the best fit of the given data set is:

ŷ = 0.8X + 0.5

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