In the equation y=3x-4 , the y-intercept is -4

Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

Answer:

I don't know it is actually pretty hard! But is this part of the rsm mcp contest

Step-by-step explanation:

The sum of digits of the products is given by S = 176

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The number 22 multiplied by a 22-digit number that contains only "2"s would result in a number that consists of a string of "4"s.

This is because 2 multiplied by 2 results in 4. Since all the digits in the 22-digit number are "2"s, each digit would multiply by 2 and result in "4".

Therefore, the product of 22 multiplied by a 22-digit number that contains only "2"s would be a 44-digit number consisting of "4"s.

The sum of the digits of a 44-digit number consisting of only "4"s can be calculated by multiplying the digit "4" by the total number of digits, which in this case is 44.

Sum of digits = 4 × 44 = 176

Hence , the sum of the digits of the product would be 176

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Answer:1.84

Step-by-step explanation: We can add this in a very easy way.

Step 1- We can put the 1 in the ones place as if there is no number before a decimal (which is the case for the first number) we can assume it is 0.

Step 2- We can then place the decimal point after the 1 and then put 0.8 since there are no more numbers that are at the tenths

Step 3- At the end we add the .04 (also known as 0.04) as there are no more places in both the numbers that are in the hundredths (and in 1.8, it can also be known as 1.80 as there are none!)

Hope this helps!

I would appreciate if you can mark me brainliest :)

Answer:

Probability = 0.13591

Step-by-step explanation:

We are given;

Population mean; μ = 4.55

Population standard deviation: σ = 0.39

Now, we want to find the probability that the housefly's wing length will meet the requirements of the first phase of the experiment. This is;

P(3.77mm < X < 4.16mm)

Z-score formula is;

z = (x - μ)/σ

When x = 3.77mm

z = (3.77 - 4.55)/0.39

z = -2

When x = 4.16

z = (4.16 - 4.55)/0.39

z = -1

From online p-value calculator between 2 z-scores attached, we have;

P-value = 0.13591

Answer:

Dividing both sides of an inequality by the same non-zero number preserves the direction of the inequality. So, if you divide both sides of the inequality "inequality-125 >" by -5, the resulting inequality would be:

(inequality-125)/(-5) > (inequality-125)/(-5)

which simplifies to:

25 - inequality > -25 - inequality

Adding inequality to both sides of the inequality gives:

25 > -50

So, the final answer is 25 > -50.

Step-by-step explanation:

Answer:

the answer should be c my one wasc

Answer:

(-4)^12

Step-by-step explanation:

Hello!

We can use exponent rules to rewrite the equation.

a^b * a^c = a^(b+c)

The value of the equation can be calculated by (-4)^12.

\((-4)^{12}\)Answer:

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\) , then

\((-4)^{5}\) × \((-4)^{7}\)

= \((-4)^{(5+7)}\)

= \((-4)^{12}\)

60% of the number is 50.4 will be 84.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

Let 60% of x be 50.4.

Then the equation will be

60% of x = 50.4

0.60 x = 50.4

Simplify the equation, then the value of the variable x will be

0.60x = 50.4

x = 50.4 / 0.60

x = 84

Thus, 60% of the number is 50.4 will be 84.

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The equation that can be used to solve for c in the given right triangle is the sine function: c = (3 meters) / sin(50°).

In the given right triangle ABC, we are given that angle ACB is a right angle (90°) and angle CBA is 50°. We also know the length of side AC, which is 3 meters. The length of side CB is denoted by "a," and the length of the hypotenuse AB is denoted by "c." To solve for c, we can use the trigonometric function sine (sin). In a right triangle, the sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we can use the sine of angle CBA (50°) to find the ratio between side CB (a) and the hypotenuse AB (c).

The equation c = (3 meters) / sin(50°) represents this relationship. By dividing the length of side AC (3 meters) by the sine of angle CBA (50°), we can find the length of the hypotenuse AB (c) in meters. Using the given equation, we can calculate the value of c by evaluating the sine of 50° (approximately 0.766) and dividing 3 meters by this value. The resulting value will give us the length of the hypotenuse AB, completing the solution for the right triangle.

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The required area of the circle is 50.24cm².

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

So, we have the circumference:

8π

Now, calculate for π as follows using the circumference formula (2πr):

8π = 2πr

8π/2π = r

4 = r

Now, calculate the area when r = 4cm (πr²) as follows:

πr²

π(4)²

16π

50.24

Therefore, the required area of the circle is 50.24cm².

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Complete question:
The circumference of a circle is 8π cm. what is the area in square centimeters?

The option best compares the two​ equations is  C. The solution set of the second equation is a plane parallel to the line that is the solution set of the first equation

The two given equations are $y=2x+3$ and $z=-4$,

The equation $y=2x+3$ is a linear equation which represents a straight line on the Cartesian plane.

This line passes through $(0,3)$ and $(1,5)$ and continues in both directions infinitely.

The equation $z=-4$ is an equation of the form $z=k$ which represents a plane that is parallel to the $xy$-plane and lies at a distance of $k$ units below the $xy$-plane.

From the two given equations, it can be seen that the solution set of the first equation is a straight line.

In contrast, the solution set of the second equation is a plane parallel to the $xy$-plane, hence, option C is the correct option. A plane is a flat two-dimensional surface that extends infinitely far, it has no thickness. It is often described as a "flat" surface because it has the same properties as a flat surface in Euclidean geometry. Therefore, the correct option that compares the two equations is C. The solution set of the second equation is a plane parallel to the line that is the solution set of the first equation

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Answer:

y= -x+5

Step-by-step explanation:

The slope of the two parallel lines is equal

so, the slope of

y=-x-3 is -1

slope=y2-y1/x2-x1=-3-15/8--10=-1

the equation of the line is

y-15= -1(x--10)

y= -x-10+15

y= -x+5

Considering the expression of a line and parallel lines, you obtain, the correct answer is third option: the equation of the line that passes through the pair of points (-10,15) and (8, -3) is y= -x +5.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x1, y1) and (x2, y2) of a line, the slope m of said line can be calculated using the following expression:

\(m=\frac{y2-y1}{x2-x1}\)

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.

Parallel lines are two lines that always maintain the same distance and if they were extended to infinity they would never touch.

That is, parallel lines are two or more lines that never intersect.

Parallel lines are characterized by having the same slope.

So, in this case, being (x1,y1)= (-10,15) and (x2,y2)= (8,-3), the slope m can be calculated as:

\(m=\frac{-3-15}{8-(-10)}\)

\(m=\frac{-18}{18}\)

m=-1

So, being y= -1x + b and considering point 1, you obtain:

15= -1×(-10) +b

15= 10 + b

15-10=b

5= b

So, the equation of the line is y=-1x + 5= -x +5

To know if this line is parallel to y +4= -(x - 1), in first place you must rearrange this second equation of a line:

y +4= -x +1

y=-x +1 -4

y= -x-3

You can see that both equations of a line have -1 as the slope value m.

Finally, the correct answer is third option: the equation of the line that passes through the pair of points (-10,15) and (8, -3) is y= -x +5.

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The condition that ensures a solution for the mentioned equation is :

1. b₂ = 2b₁ and 6b₁-3b₃ +b₄ = 0.

In mathematics, an equation is a formula that connects two expressions with the equal sign = to indicate that they are equal. An equation consists of two expressions joined by an equal sign ("="). Expressions for both sides of the equals sign are called the "left side" and the "right side" of the equation. Usually the right side of the equation is assumed to be zero. If this is accepted, it does not reduce the generality, since it can be done by subtracting the right side from the two sides.

According to the Question:

Given that:

x₁+ 2x₂= b₁       ------------------------- (1)

2x₁ + 4x₂ = b₂  ------------------------- (2)

3x₁ + 7x₂ = b₃   ------------------------ (3)

3x₁ + 9x₂ = b₄   ------------------------ (4)

From equation (1) and (2), we get:

b₂ = 2b₁

After analysis equation (1), we have:

   6b₁-3b₃ +b₄ = 0

Using equation (1), (3) and (4), we get:

3(x₁+2x₂) -6(3x₁+7x₂) + 3x₁ + 9x₂ ≠ 0

Putting the value from equation (1),(3) and (4), we get:

6(x₁+2x₂) -3(3x₁+7x₂) + 3x₁ + 9x₂ = 0

Hence option (1) is correct.

Complete Question:

Consider the following system of linear equations:

x₁+ 2x₂= b₁

2x₁ + 4x₂ = b₂

3x₁ + 7x₂ = b₃

3x₁ + 9x₂ = b₄

which one of the following conditions ensures that a solution exists for the above system.

1. b₂ = 2b₁ and 6b₁-3b₃ +b₄ = 0

2. b₃ = 2b₁ and 6b₁-3b₃ +b₄ = 0

3. b₂ = 2b₁ and 3b₁-6b₃ +b₄ = 0

4. b₃ = 2b₁ and 3b₁-6b₃ +b₄ = 0

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Answer:

\(x=6.25cm\)

Step-by-step explanation:

Given:

\(BE/ /CD\)

\(BC=2.5cm\)

\(BE=5cm\)

\(CD=7cm\)

\(AB=x\)

First, we need to prove that both triangles are similar in order to achieve something here we can go about that by using the fact that BE//CD:

since BE//CD, then:

\(\angle ABF= \angle ACD\\\\\angle AEB=\angle ADC\)

and since \(\angle A\) is a common angle for both triangles, then both triangles are similar by AAA similarity.

Now, since both triangles are similar, we can use the ratio between their sides as a guide to get the length of the missing side:

\(\frac{7}{5}=\frac{2.5+x}{x}\\ \\ 7x=12.5+5x\\\\2x=12.5\\\\x=6.25cm\)

Answer:

Slope = \(-\frac{1}{6}\)

Step-by-step explanation:

Slope = \(\frac{Rise}{Run}\)

Slope = \(\frac{6-10}{24-0}\)

Slope = \(-\frac{1}{6}\)

Answer:

-1/6

Step-by-step explanation:

Just use the formula Y2-Y1/X2-X1.

In this case if you substitute the coordinates of those numbers, then it would be 6-10/24-0 which is 24/-4 and if you simplify it, then you get the slope -1/6.

Answer:

(x - 5)(x - 4)

Step-by-step explanation:

\( {x}^{2} - 9x + 20 \\ \\ = {x}^{2} - 5x - 4x + 20 \\ \\ = x(x - 5) - 4(x - 5) \\ \\ = (x - 5)(x - 4)\)

Answer:

\(V=706.5\) \(ft^3\)

Step-by-step explanation:

Since it's saying, "how much water does your neighbor need to completely fill his pool", it's asking for us to find the volume of the pool because the volume is the amount of space inside the pool which will be filled with water.

The volume formula for a cylinder: \(V=\pi r^2h\)

In the text, since they gave the diameter and not the radius, we need to find the radius by dividing the diameter by two: \(\frac{15}{2}=7.5\)

Now, we can start solving.

\(V=(3.14)(7.5^2)(4)\)

\(V=(3.14)(56.25)(4)\)

\(V=(3.14)(225)\)

\(V=706.5\)

Hope this helps

Answer:

we ended the Bubba pregnant woman he is not in there by the Monon the man that want to be. DMV

The statistic that describes the average distance between the measurements in a frequency distribution and the mean of that distribution is the mean absolute deviation (MAD).

The MAD measures the dispersion or spread of the data points around the mean. It is calculated by taking the absolute value of the differences between each data point and the mean, summing these absolute differences, and dividing by the number of data points.

Unlike the standard deviation, the MAD does not square the differences, making it easier to interpret. The MAD provides a measure of the variability of the data and is useful in comparing the spread of different data sets.

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Step-by-step explanation:

You already know what the hour is so you just need to find the minute. Every number is at a 5 tick interval. So you can count by 5 or multiply 5x5.

Answer:

4:25

Step-by-step explanation:

Every number on the clock is 5 minutes. 5 * 5 = 25.

As per the graph, the domain and the range of the function is [-3, 6], [-2, 2].

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is indeed the collection of all possible input values.

As per the given graph in the question,

Let's find out the domain first, and it is in the horizontal axis.

As we can see in the graph,

The point follows from -3 to 6. So, the domain of the function is,

= [-3, 6]

Now, let's find out the range, and it is on the vertical axis,

As we can see in the graph,

The point follow from -2 to 2, so the range of the function is,

= [-2, 2]

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Answer: 36

Step-by-step explanation: Multiplication

The 95% confidence interval for the population mean SAT score is given as follows:

(1340, 1460).

The confidence interval is calculated using the t-distribution, as the standard deviation for the population is not known, only for the sample.

The bounds are obtained according to the equation defined as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

\(\overline{x} = 1400, n = 64, s = 240\)

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 64 - 1 = 63 df, is t = 1.998.

Then the lower bound of the interval is of:

1400 - 1.998 x 240/sqrt(64) = 1340.

The upper bound of the interval is of:

1400 + 1.998 x 240/sqrt(64) = 1460.

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Answer:

Option 1 and Option 3

Step-by-step explanation:

Hanna's parents will have to spend an additional $5.23 in April compared to January for the same quantity of pasta, yogurt, and lemonade.

a. To compute the total monthly cost of Hanna's meals, we multiply the quantity of each item by its respective price and sum them up.

In January, the total monthly cost is calculated as:

Total cost = (21 pounds of pasta) * ($1.94 per pound) + (57 packages of yogurt) * ($0.96 per package) + (11 bottles of lemonade) * ($1.94 per bottle) = $40.74

In February, the total monthly cost is:

Total cost = (21 pounds of pasta) * ($1.77 per pound) + (57 packages of yogurt) * ($1.06 per package) + (11 bottles of lemonade) * ($2.12 per bottle) = $45.93

In March, the total monthly cost is:

Total cost = (21 pounds of pasta) * ($2.17 per pound) + (57 packages of yogurt) * ($1.06 per package) + (11 bottles of lemonade) * ($1.87 per bottle) = $49.99

In April, the total monthly cost is:

Total cost = (21 pounds of pasta) * ($1.97 per pound) + (57 packages of yogurt) * ($1.16 per package) + (11 bottles of lemonade) * ($1.92 per bottle) = $45.97

To determine whether inflation, deflation, or no inflation occurred during these months, we compare the total monthly costs.

In February, the total monthly cost ($45.93) is higher than January ($40.74), indicating inflation.

In March, the total monthly cost ($49.99) is higher than February ($45.93), indicating inflation.

In April, the total monthly cost ($45.97) is slightly lower than March ($49.99), indicating deflation (negative inflation).

b. To calculate how much more money Hanna's parents will have to spend in April compared to January, we subtract the total cost of January from the total cost of April.

Additional cost in April = Total cost in April - Total cost in January

= $45.97 - $40.74 = $5.23

Therefore, Hanna's parents will have to spend an additional $5.23 in April compared to January for the same quantity of pasta, yogurt, and lemonade.

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Given info:

Height - 8 in

Radius - 7 in

Formula:  \(A = 2\pi rh+2\pi r^{2}\)

\(A = 2\pi (7)(8) + 2\pi 7^{2}\)

\(A = 2\pi 56 + 2\pi 49\)

\(A = 351.85 + 307.87\)

\(A = 659.72\) :)

(1) Poisson distribution is suitable for modeling the number of apples examined until finding the first one with bitter pit.

(2) Binomial distribution is suitable for modeling the number of patients out of 20 in a ward who may catch the norovirus.

(3) Binomial distribution is suitable for modeling the number of broken glasses taken from a box of 4 glasses.

(1) For the scenario of examining apples to find the first one with bitter pit, a reasonable model to use would be a Poisson distribution. The Poisson distribution is appropriate when the event of interest (finding an apple with bitter pit) occurs randomly and independently with a low probability per unit (3.6% in this case), and we are interested in the number of occurrences until the first success. The Poisson distribution is often used to model rare events in a fixed time or space interval, making it suitable for this scenario.

(2) In the case of modeling the number of patients out of 20 in a ward who may catch the norovirus, a reasonable choice would be a Binomial distribution. The Binomial distribution is appropriate when the following conditions are met: the number of trials (20 patients) is fixed, each trial (patient) has two possible outcomes (catching the virus or not), the probability of success (2% infection rate) remains constant, and the trials are independent. These conditions align with the scenario, making the Binomial distribution suitable for modeling the number of patients who may catch the virus.

(3) To model the number of broken glasses taken from a box of 4 glasses, a reasonable choice would again be a Binomial distribution. The conditions for using a Binomial distribution are met: there are a fixed number of trials (4 glasses), each trial (glass) has two possible outcomes (broken or not), the probability of success (broken glass) is constant (2 out of 12), and the trials are independent. Thus, the Binomial distribution can appropriately model the number of broken glasses taken from the box.

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Answer:

Step-by-step explanation:

1 Pint is equal to 0.5 quart. To convert pints to quarts, multiply the pint value by 0.5 or divide by 2. For example, to convert 5 pints to quarts, multiply 5 by 0.5, that makes 2.5 quarts is 5 pints. pints to quarts formula. quart = pint * 0.5. quart = pint / 2. 1 Pint = 0.5 Quart.

Answer:  4.50356 quarts

Step-by-step explanation:

Answer:

\( \purple { \bold{ \frac{ (x - 3)}{3x - 18} }}\)

Step-by-step explanation:

\( \frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2} + x - 12}{3x - 18} \\ \\ = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2} + 4x - 3x - 12}{3(x - 6)} \\ \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x + 4)}{3(x - 6)} \\ \\ = \frac{ \cancel{(x + 3)}}{ (x + 4) \cancel{(x + 3)} } . \frac{ (x + 4) (x - 3)}{3(x - 6)} \\ \\ = \frac{1}{ \cancel{ (x + 4)} } . \frac{ \cancel{ (x + 4)} (x - 3)}{3(x - 6)} \\ \\ \red{ \bold{= \frac{ (x - 3)}{3x - 18} }}\\ \\ \)