A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 75 pounds. There were 3 more small boxes shipped than large boxes and the total weight of all boxes was 1455 pounds. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

The probability of selecting at least one marble that is not red is given as follows:

1.

The mass probability formula is presented as follows:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

Considering a success as selecting non-red marbles, the values of these parameters are given as follows:

N = 4, n = 2, k = 3.

The probability of at least one not red is given as follows:

P(X > 0) = 1 - P(X = 0).

In which:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,4,3,2) = \frac{C_{3,0}C_{1,2}}{C_{4,2}} = 0[/tex]

Hence the probability is of:

P(X > 0) = 1 - P(X = 0) = 1 - 0 = 100%.

The problem is given by the image shown at the end of the answer.

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The probability of growing seed exactly one is 0.0033.

The probability of a seed not growing is 0.46, because if it has a 54% chance of growing, then  100% - 54% to find the odds that it will not grow, which is 46%.

The probability of 7 seeds growing is equivalent to asking what the probability is of a seed growing and another seed growing and another seed growing and another seed, and so on until I say a total of 7seeds. The point is that "and" in probability means to multiply.

To calculate the likelihood of seven seeds growing,

(0.46)(0.54)⁷

Probability = 0.0033

Probability = 0.0033 x 100

                  = 0.33%

Therefore probability of growing exactly one seed is 0.0033.

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Answer: 8 = 1x + 2y

Step-by-step explanation:

this could be multiple answers, is this a multiple-choice question? follow that equation to find the answer that fits.

I got the equation by these steps:

total money spent is $8, so you start with 8 =

you don't know the specific number of pens so make that x. the cost of pens is $1, so the total cost will be $1 times however many pencils are bought, ie 1x.

repeat that for pencils, replacing $1 with $2, and making pencils mean y. you get 2y.

now to find your answer, insert numbers into x and y until they equal 8.

possible answers:

x=4, y=1

x=2, y=2

x=0, y=4

Answer:

Sorry just trying to get points

Step-by-step explanation:

Answer:

  y = 2/3x -7

  see the attachment for a graph

Step-by-step explanation:

You want the equation and graph of a line through point C(6, -3) parallel to the line shown through points A(-3, 3) and B(3, 7).

You can count the grid squares to see that the slope of line AB is 2 units up for each 3 units to the right. The line through C will have the same slope:

  m = rise/run = 2/3

The line drawn with that slope through point C will cross the y-axis at y = -7. This value is the "b" in the slope-intercept equation for the line:

  y = mx +b . . . . . . . line with slope m and y-intercept b

  y = 2/3x -7

A graph of the line is shown in the attachment.

The value of expression 9 1/2k - [7 + 3 1/4k] without parentheses is 25 / 4 k - 7.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

9 1/2k - [7 + 3 1/4k]

Simplify the above expression and convert mixed fractions into improper fractions,

19 / 2 k - [7 + 13 / 4k]

19 / 2 k -[(28 + 13 k) / 4]

(38k - 28 -13k) / 4

(25k - 28) / 4

25 / 4 k - 7

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By using the provided formula of inflation, the answer is $35.35.

The rate at which consumer prices for a variety of products and services are increasing is known as inflation.

The common ways followed are:

[tex]C(t) = P(1.04)^{t}[/tex]

P= $23.95

t=10

The estimated price is [tex]23.95*(1.04)^{10}[/tex]

=$35.35

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There are 896 trips will it take him to haul all of the dirt away.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The rectangular hole is 8 feet wide, 16 feet long, and 7 feet deep.

Now,

Since, The rectangular hole is 8 feet wide, 16 feet long, and 7 feet deep.

And, His pickup truck can haul one cubic meter.

Hence, Number of trips will it take him to haul all of the dirt away will be;

⇒ 16 × 7 × 8 / 1

⇒ 896

Thus,  Number of trips = 896

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The equation of the exponential function represented by the table will be:

[tex]f(x) = 2(4)^{x}[/tex]

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

We know the equation of exponential function such as

[tex]f(x) = ab^{x}[/tex]

Put x=0, and y=2 in the function

[tex]2 = ab^{0} \\2 = a[/tex]

Also x=1, and y=8 in the function

[tex]8 = 2b^{1} \\b = 4[/tex]

Thus,

[tex]f(x) = ab^{x} \\f(x) = 2(4)^{x}[/tex]

Therefore, the equation of the exponential function represented by the table will be:

[tex]f(x) = 2(4)^{x}[/tex]

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we calculated confidence interval = 0.48±0.16

confidence interval represents the accuracy of a particular estimation.

proportion of population is the ratio of random sample to the total available sample.

Given, size of samples that means number of total iPhones, n = 25

size of random samples that means iPhone with 85 downloaded apps, p= 12,

critical value for 90% confidence interval z* = 1.65

proportion of samples, p^ = p/n = 12/25 =0.48

finally, confidence interval = p^±z*[√{p^(1-P^)/n}]

                                               0.48±1.65[√{0.48(1-0.48)/25}]

                       hence, the confidence interval = 0.48±0.16

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The range of h of the given function table is; A)All real numbers greater than or equal to -7

The range of a function is defined as the set of all possible output values for which the function is valid.

From the given function table, we can see the following coordinates;

(-3, 18)

(-1, 8)

(2, -7)

(3, -12)

(4, 17)

(6, -27)

Now, from the above coordinates, we can see that the maximum value of h(x) is 17 while the minimum value is -27.

Looking at the options, the only one that  fits the available range of the function is option A.                                    

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Greatest common factor (GCF): 12a³b + 8a²b² - 20ab³. = 4ab(3a² + 2ab - 5b²) that is option 2

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the biggest, we refer to the GCF of 12, 20, and 24 as four.

There are two stages to get the GCF since 12a3b + 8a2b2 - 20ab3. contains both integers and variables (HCF). Find GCF for the variable component first, then for the numeric part.

How to locate GCF

1. Find the GCF for the 12, 8, 20 numerical portion.

2. Calculate the GCF for the variable component (a3b, a2b2, and ab3).

3. Add the values together and multiple them

Find the common factors for the numerical part: 12 ,8,20 is

factors of 12 -1,2,3 ,4,6,12

factors of 8 - 1,2,4,8,

factor of 20 - 1,2,4,5,10,20

the common factor will be 1,2,4

so GCF = 4

Next, find the common factors for the variable part: a³b , ,a²b² ,ab³.

the common factors will be ab

so GCF = ab

for the equation 12a³b + 8a²b² - 20ab³.

4ab is common , if we take 4ab common then remaining parts are

12a³b = 3a²

8a²b² = 2ab

20ab³. = 5b²

greatest common factor: 12a³b + 8a²b² - 20ab³. = 4ab(3a² + 2ab - 5b²)

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Answer:

b) D => d. 9/7

Step-by-step explanation:

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Now required slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (-5 - 4)/(-4 - 3)

→ m = (-9)/(-7)

→ [ m = 9/7 ]

Hence, the slope is 9/7.

Answer:

[tex]2 x 3^{2} x 7[/tex]

Step-by-step explanation:

The answer is 2 × 3 × 3 × 7 which is 2 x 3^2 x 7

Answer:

False

Step-by-step explanation:

2/3 - 1/6 = 3/6

Answer:

If the slope of a line is negative, it means that the line is sloping downward from left to right. In other words, as the value of x increases, the value of y decreases. This is in contrast to a positive slope, where as the value of x increases, the value of y also increases. So, if the slope of the line y = x is changed to a negative value, the line will still have the same general shape, but it will be flipped upside-down and will slope downward from left to right

a. The orthocenter for the coordinates (0,0), (6,3), and (3,24) is (24, 2).

b. The orthocenter for the coordinates (5,3), (8,6), and (4,10) is (8, 6).

The orthocenter is the point where the altitudes of the triangle coincide. An obtuse triangle, will be outside the triangle. For a right triangle, it will be the right angle vertex. Of course, each altitude is a line through a vertex and perpendicular to the opposite side.

The equation can be written as,

y -y₃= -(x₂ -x₁)/(y₂ -y₁)(x -x₃)

This can be rearranged to something resembling standard form:

(x₂ -1x₁)(x -x₃) +(y₂-y₁)(y -y₃) = 0

(x₂ -x₁)x +(y₂ -y₁)y = (x₂ -x1)x₃ +(y₂ -y1)y₃ . . . . line through P3, ⊥ to P1P2

Part(a).

For the first altitude, we choose P1 = (0, 0), P2 = (7, 3), and P3 = (3, 51). This gives,

(x₂-x₁) = 7 -0 = 7

(y₂ -y₁) = 3 -0 = 3

altitude equation = 7x +3y = 7·3 +3·51 = 174

For the second altitude, we choose P1 = (0, 0), P2 = (3, 51), and P3 = (7, 3). This gives,

(x₂ -x₁) = 3 -0 = 3

(y₂ -y₁) = 51 -0 = 51

altitude equation = 3x +51y = 3·7 +51·3 = 174

Finding the point of intersection of these two equations can be done in a number of ways. Cramer's Rule provides a quick solution:

x = ((3)(-174) -(51)(-174))/(7·51 -3·3) = 8352/348 = 24

y = ((-174)(3) -(-174)(7))/348 = 696/348 = 2

The orthocenter for the triangle is (24, 2).

Part(b).

We can use the method just described, or we can verify the triangle is a right triangle, as it appears to be when the points are plotted.

The slope of P1P2 is (6 -3)/(8 -5) = 3/3/ = 1.

The slope of P2P3 is (10 -6)/(4 -8) = 4/-4 = -1

These slopes have a product of -1, so the segments are perpendicular. The vertex P2 has the right angle, hence the orthocenter.

The orthocenter for the triangle is (8, 6).

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Domain - the set of possible x-coordinates of a function.

Range - the set of possible y-coordinates of a function.

Domain is:

Range is:

This is a function as it passes the vertical line test.

Domain is:

Range is:

This is a function as it passes the vertical line test.

Answer:

32.a)  Domain:  (-6, 6)

32.b)  Range:  (-6, 2]

32.c)  Function:  Yes

33.a)  Domain:  (-6, 6]

33.b)  Range:  (-1, 5]

33.c)  Function:  Yes

Step-by-step explanation:

Definitions

Interval notation

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the endpoints of the continuous curve are:

As the endpoints are open circles, the x-values are excluded from the domain.  Therefore, the domain in interval notation is:

The smallest y-value is y = -6 and the greatest y-value is y = 2.  

y = -6 is excluded from the range since it is the y-value of the open circle endpoint, whereas y = 2 is included in the range.  Therefore, the range in interval notation is:

The graph is a function as is each input (x-value) is related to exactly one output (y-value).

From inspection of the graph, the endpoints of the continuous line are:

As the graph is a straight line, the x and y values of the endpoints are the x and y values of the domain and range.

As the (-6, -1) endpoint is an open circle, the values are excluded from the domain and range.

As the (6, 5) endpoint is a closed circle, the values are included in the domain and range.

Therefore, the domain and range in interval notation are:

The graph is a function as is each input (x-value) is related to exactly one output (y-value).

Answer:hi

Step-by-step explanation:

The number of different pasta dishes the customers can create are 180.

According to its definition, a combination is "An arrangement of objects where the order in which the objects are selected is irrelevant." The phrase "Selection of things" denotes a situation in which the chronological order of events is irrelevant.

Given,

Number of noodle options = 3.

Number of sauce options = 3.

Number of vegetable options = 4.

Number of meat options = 5.

To find the number of possible combinations we need to take the total number of each option and multiply them together as there is no repetition allowed.

Possible combinations = 3×3×4×5

                                      = 180

Thus, the number of pasta dishes created = 180.

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Answer:

  (a)  ∠HFE, ∠EFH

  (b)  FG, FE

  (c)  F

Step-by-step explanation:

You want the different names for the angles shown, and for their parts.

This question is about naming bits of geometry. Here, you're mainly naming rays and combinations that form angles. A ray is always named by naming its end point first, then another point on the ray. An angle is formed by two rays with a common end point.

An angle can be named by naming rays that form it (with the vertex in the middle of the name), by naming the vertex alone (if that is unambiguous), or by using a designator, such as ∠2.

Angle 2 is made from rays FH and FE, so can be named either of ...

If ray FG were not present, it could also be named angle F, the name of the vertex point.

The 3-letter angle name tells you the names of the sides. The end point of each ray must be named first in the ray name. It is named in the middle of the angle name.

The vertex of angle 1 is the point that is also the vertex of angle 2:

Temperature at 6 a.m. was:

The difference is:

Temperature in Buffalo at noon was 19 °F greater:

Yes, it wasn't fair because some kids got more pizza.

What is simplest form of a fraction?

When the numerator (top) and denominator (bottom) of the fraction do not have any common factors, the fraction is said to be in its simplest form. For instance, 1/2 is the most basic version of 6/12.

Given that, there were 14 players.

Six players sat at one table and got 4 small pizzas to share equally.

Applying unitary method,

Thus each players got 4/6 part of a pizza.

                                    = 2/3 [ Divide denominator and numerator by 2]

The other 8 players sat at a different table and got 6 small pizzas to share equally.

Each players got 6/8 part of a pizza.

                            = 3/4 [Divide denominator and numerator by 2]

Now compare 2/3 and 3/4:

The LCM of the denominators 3 and 4 is 12.

Multiply 4 with denominator and numerator of 2/3:

(2×4)/(3×4) = 8/12

Multiply 3 with denominator and numerator of 3/4:

(3×3)/(4×3) = 9/12

Therefore, 9/12 >  8/12

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Answer:

8 beads per ring.

Step-by-step explanation:

50/6 = 8.333..

Since you cannot have less than half of a ring, the answer is 8.

The missing length and the missing angle are approximately 40.447 and 20.034°.

In this question we have a geometric system formed by a equilateral triangle divided into two triangles by a line segment. The missing sides and angles can be found by means of algebra properties, Euclidean geometry and trigonometry.

First, obtain the missing side by taking approach of properties for equilateral triangles:

y = 46 - 16

y = 30

Second, find the length of line segment by law of cosine:

l = √(46² + 16² - 2 · 46 · 16 · cos 60°)

l ≈ 40.447

The missing length is approximately 40.447.

Third, the measure of the missing angle by law of sine:

16 / sin x = 40.447 / sin 60°

sin x = (16 / 40.447) · sin 60°

sin x = 0.343

x ≈ 20.034°

The missing angle is approximately 20.034°.

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A variation on Lagrange polynomial interpolation is called barycentric interpolation. Second, just use Newton interpolation formula to assess p(x) for each x.

The Lagrange interpolation theorem can be used to create a polynomial that traverses a specified set of points and takes particular values at random locations. This theorem provides the approximate formula for the nth degree polynomials to the function f if a variable f (x) is available at discrete places xi, I = 0, 1, 2,... (x).

The Lagrange theorem extrapolates well-known mathematical principles like the statement that a line is uniquely specified by two points, the knowledge that the quadratic function polynomial is completely determined by three points, and so forth.

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Answer: FAT32

you're welcome :D

Answer:

use fat32

FAT32 is regarded as the default file system for external drives, especially the removable USB flash drives and SD memory cards. It's the most compatible file system that can be used on major devices and operating systems like Windows and macOS. So, the advantage of using FAT32 is portability.

However, FAT32 has some disadvantages, or let's say limitations as well. First and foremost, if you use a single file over 4GB in size, you'll need to convert FAT32 to NTFS or exFAT; What's more, due to the manufacturers' specifications, FAT32 can only be used to format drives between 2GB and 32GB, and that's why native tools on Windows have that limit, too. When you try to format a USB drive over 32GB in Windows Explorer, there is no "FAT32" option at all.

Answer:

Step-by-step explanation:

use equation [tex]\frac{y2-y1}{x2-x1}[/tex] to calculate the slope, in this case the slope would be [tex]\frac{11-11}{3-(-2)}=\frac{0}{6} =0[/tex]

The slope would be 0 for the line,

another way we can tell the slope is 0 is that we can see the two sets of coordinates are on the y=11, they just have different x coordinates.

But the equation above shows the complete work and supported the answer.

Answer:

Slope (m) = 0

Step-by-step explanation:

Given coordinates,

→ T(-2, 11)

→ U(3, 11)

Formula we use,

→ Slope = (y2 - y1)/(x2 - x1)

Now required slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (11 - 11)/(3 -(-2))

→ m = (0)/(3 + 2)

→ m = 0/6

→ [ m = 0 ]

Therefore, the slope is 0.

On solving the problem of expression we can say that , the answer is 5x + 9.A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of phrases. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the equation x/2 + 6. Complex riddles are solved using mathematical expressions. Let's examine the writing of phrases. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the equation x/2 + 6. Complex riddles are solved using mathematical expressions.

[tex]3x + 2 - 3x + 7 + 5x = 5x + 9[/tex]

Group the like terms

[tex]3x - 3x + 5x + 2 + 7[/tex]

now adding similar elements: 3x - 3x + 5x = 5x

[tex]5x + 2 + 7[/tex]

and add the numbers: 2+7=9

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a) The point estimate of the proportion of the population that would provide Yes responses is; 0.50

b) The estimate of the standard error of the proportion is; 0.0224

c) The 95% confidence interval for the population proportion is; CI = (0.4569, 0.5431)

a) The point estimate of proportion in a sample of n out of which x belongs to the favorable event is;

p^ = x/n

Thus, we are given; x = 250 and n = 500

p^ = 250/500

p^ = 0.5

b) The standard error  is defined as a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation. It is given by the formula;

S = √(p^(1 - p^)/n)

Plugging in the relevant values gives;

S = √(0.5(1 - 0.5)/500)

S = 0.0224

c) A confidence interval is defined as the mean of your estimate plus and minus the variation in that estimate. The confidence interval is given by the formula;

CI = p^ ± z√(p^(1 - p^)/n)

where z is z-score at confidence level

z at 95% confidence level = 1.96

Thus;

CI = 0.5 ± 1.96√(0.5(1 - 0.5)/500)

CI = 0.5 ± 0.04312

CI = (0.4569, 0.5431)

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