Complete the equation of the line who’s y intercept is (0,-1) and slope is 4

Answers

Answer 1

Y=4x-1

The equation of a line is:

Y=mx+c

We are told that the slope is 4 which is also gradient, meaning that M=4

Now we are left with:

Y=4x+c

There are two ways to get C:

1. We know that C represents the y-intercept so immediately we can conclude that C=-1

2. You can work it out by substituting the coordinate for the X and Y value:

-1=4(0)+c

-1=C

So in conclusion, the equation of the line is:

Y=4x-1


Related Questions

An anchor cable supports a vertical utility pole forming a 51 degree angle with the ground. The cable is attached to the top of the pole. If the distance from the base of the
pole to the base of the cable is 5 meters, how tall is the pole? (Round to the nearest hundredth.) PLS HELP

Answers

The height of the pole anchored to a cable is 6.17 meters.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, The anchor cable is forming an angle of 51° angle with the ground attached to a pole and the distance between them is 5 meters.

So, We need height or the opposite side length with an adjacent length of 5 meters.

We know, tan = opposite/adjacent.

tan51° = opposite/5.

opposite = tan51°×5.

opposite = 1.235×5.

opposite = 6.17 meters.

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Divide 70 by 9 and write the answer as a: mixed number and as a decimal number with a bar over the repetend.
Please help if you can!Thanks!​

Answers

Answer:

Step-by-step explanation:

7 7/9 Is the first one

And 7.7 with the second 7 repeating

7.7 is the second answer to the question

How many solutions does 5x 2 7x 4 0 have?

Answers

The given equation gives two solution. We can find solution by using quadratic formula or discriminant.

How do you find the number of solutions?

A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R. So a and b ≠ 0. When we consider a system of linear equations we can find the number of solutions by comparing the coefficients of the variables of the equations.

How do you find how many solutions are in a quadratic equation?

if the discriminant is positive. Then the quadratic equation has two solutions.

if the discriminant is equal. Then the quadratic equation has one solution.

if the discriminant is negative. Then the quadratic equation has no solution.

Here we have

a=5    b=-7   c=4

Disc= [tex]b^2[/tex]-4ac

Disc= [tex](-7)^2[/tex]-4(5)(4)

Disc= 49+80

      =129

Disc >0    it has two solutions.

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Complete question is: How many solutions are there for 5x^2+7x-4=0?

a) 0

b) 1

c) 2

d) 3

The weight of 4 eggs is 180g. Identify the constant of the proportionality of total weight to number of eggs.

Answers

Answer: 13.6 grams per egg.

Step-by-step explanation:

Question 17
Galle bought a purse for $22.50. Gale's thend Brenda saw the purse and said she would give Gale $35 if Gale would sell her the new purse right then.
mely how much profit as a percent did Gale make from selling the purse to Brenda?
A.35.7%
B.55.6%
C.64.3%
D.155.6%

Answers

So Gale made a profit of 55.6% by selling the purse to Brenda. Therefore the correct answer would be B. 55.6%

What is profit and loss?

Profit and Loss is a financial statement that shows a company's revenue, costs, and expenses over a certain period of time, such as a month or a year. The purpose of a P&L statement is to show the company's financial performance and to determine whether the company is making a profit or incurring a loss.

What is Profit Percentage?

The proportion that the retailer makes after selling a good at a price greater than its cost is the product's profit margin. P% indicates it.

Profit Percentage P% = {(selling price – cost price) / cost price} x 100.

The selling price of the purse is $35 and the original cost of the purse is $22.50. So the profit is $35 - $22.50 = $12.50

Profit as a percent = (Profit / Original cost) * 100

Profit as a percent = ($12.50 / $22.50) * 100 = 55.6%

So Gale made a profit of 55.6% by selling the purse to Brenda. Therefore the correct answer would be B. 55.6%

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(iii) (6-5xy) (6 + 5xy)

Answers

Hello there!

Answer:

[tex]36 - 25x^{2}y^{2}[/tex]

Step-by-step explanation:

We can use the special formula:

[tex](a - b)(a + b) = a^{2} - b^{2}[/tex]

If a = 6 and b = 5xy then:

[tex](6 - 5xy)(6 + 5xy) = 6^{2} - (5xy)^{2} = 36 - 25x^{2}y^{2}[/tex]

This is the final answer

But if we don't know this formula, we can solve it other way:

[tex](6 - 5xy)(6 + 5xy) = 6^{2} + 5xy * 6 - 5xy * 6 - (5xy)^{2} = \\\\= 6^{2} - (5xy)^{2} = 36 - 25x^{2}y^{2}[/tex]

Kendra and Haley are each saving money. Kendra starts with $100 in his savings

account and adds $5 per week. Haley starts with $10 in her savings account and adds

$20 each week. After how many weeks will Haley have at least the same amount of

money as Kendra?

OX26

Ox>6

O x 216

Ox< 16

Answers

That means after 6  weeks will Haley have at least the same amount of

money as Kendra

Kendra and Haley are each saving money. Kendra starts with $100 in his savings account and adds $5 per week. Haley starts with $10 in her savings account and adds $20 each week. After how many weeks will Haley have at least the same amount of money as Kendra?

Kendra and Haley are each saving money.

Kendra starts with $100 in his savings

account and adds $5 per week.

After 6 week 6* 5 = 30

Total amount in After 6 week in  Kendra savings

account = $100 + $30

             = $130

Haley starts with $10 in her savings account and

adds $20 each week.

After 6 week 6* 20 =120

Total amount in After 6 week in  Haley savings

account = $10 + $120

             = $130

That means after 6  weeks will Haley have at least the same amount of

money as Kendra

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Write the ratio of the first measurement to the second measurement. Compare in inches.

Answers

Answer:

when the ratio of the first measurment is already there, get the pot, put it in place and chec the correct ratio, the slope should help the gaurdian. so in that case, the answer is 75inch

Evaluate the expression 4xy-yz

Answers

The expression 4xy-yz is an algebraic equation.

What is expression?

Expression is defined as a way of conveying one's thoughts and feelings through spoken or written words, behavior, or art. It is a form of communication, which can be both verbal and non-verbal. Expression can also be used to show an emotion, opinion, or reaction. Expression is a way of expressing oneself, and it can be used to share ideas, feelings, and experiences with others.

To evaluate it, one must first substitute numerical values for the variables. For example, if x=2, y=3, and z=1, then the equation can be solved as follows: 4(2)(3) - (3)(1) = 12 - 3 = 9. Therefore, the expression 4xy-yz evaluates to 9.

The expression 4xy-yz can also be evaluated using the Order of Operations. This is the rule that states that multiplication and division should be done before addition and subtraction. In the equation 4xy-yz, the multiplication (4xy) should be done first, followed by the subtraction (-yz). This would yield an answer of 4x-z. Again, numerical values must be assigned to the variables in order to find the answer.

In conclusion, the expression 4xy-yz can be evaluated by either substituting numerical values for the variables or following the Order of Operations. The answer will depend on the values that are assigned to the variables.

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The expression 4xy-yz is an algebraic equation.

What is expression?

Expression is defined as a way of conveying one's thoughts and feelings through spoken or written words, behavior, or art. It is a form of communication, which can be both verbal and non-verbal. Expression can also be used to show an emotion, opinion, or reaction. Expression is a way of expressing oneself, and it can be used to share ideas, feelings, and experiences with others.

To evaluate it, one must first substitute numerical values for the variables. For example, if x=2, y=3, and z=1, then the equation can be solved as follows: 4(2)(3) - (3)(1) = 12 - 3 = 9. Therefore, the expression 4xy-yz evaluates to 9.

The expression 4xy-yz can also be evaluated using the Order of Operations. This is the rule that states that multiplication and division should be done before addition and subtraction. In the equation 4xy-yz, the multiplication (4xy) should be done first, followed by the subtraction (-yz). This would yield an answer of 4x-z. Again, numerical values must be assigned to the variables in order to find the answer.

In conclusion, the expression 4xy-yz can be evaluated by either substituting numerical values for the variables or following the Order of Operations. The answer will depend on the values that are assigned to the variables.

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How do you write a function in Gee?

Answers

This is a function that takes in a geometry object as an input and calculates its area. It then returns the calculated area as an output.

1. Create a function with the desired name and parameters. In this case, the function is called “getArea” and takes in a geometry object as a parameter:

function getArea(geometry)

2. Calculate the area of the geometry using the “area” function in GEE:

var area = geometry.area();

3. Return the calculated area:

return area;

4. End the function:

This function will take in a geometry object and return its area. This can be used to calculate the area of any geometry, such as a polygon or a line. This is a useful function for GEE applications, as it can be used to quickly calculate the area of any given geometry.

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For positive acute angles A and B, it is known that tan A = 12/35 and sin B = 9/41. Find the value of cos(A - B) in the simplest form

Answers

The simplest form of the value of the trigonometric identity cos(A-B) is

1508/1517.

What is are the trigonometric identities?

Trigonometric Identities are equality conditions that apply to all values of the equation's variables and which require trigonometry functions.

There are numerous unique trigonometric identities that involve both the side length and angle of a triangle. Only the right-angle triangle is  valid for the trigonometric identities to work.

cos(A-B) = cosA cosB + sinA sinB

Given,

    tan A = 12 / 35

So sin A = 12 / [tex]\sqrt{12^2 + 35^2}[/tex]  = 12 / 37

    cos A = 35 / 37

Now,

    sin B = 9/41

     cos B = [tex]\sqrt{1 - sin^{2} B }[/tex] = [tex]\sqrt{1 - (\frac{9}{41} )^{2} }[/tex] = 40/41

  Now substituting the above values in the cosine formula

cos(A-B) = cosA cosB + sinA sinB

              = (35/37) (40/41) + (12/37) (9/41)

              = 1508/1517 = 0.994

Therefore the simplest form of cos(A-B) is 1508/1517.

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there's no explanation for it either sh trippin

Answers

solving for "xx"

[tex]\sqrt{xx - 2}=7\implies \sqrt{xx - 2}=7\implies (\sqrt{xx - 2})^2=(7)^2 \\\\\\ xx-2=49 \implies xx=51[/tex]

PLS HELP WILL MARK BRAINEST

Answers

Answer:

Step-by-step explanation:

Answer is choice A

Both functions are decreasing at a rate of -2. You can find this by finding the slope.

A circle is inscribed in quadrilateral , tangent to at and to at . Given that , , , and , find the square of the radius of the circle.

Answers

The square of the radius of the given circle is [tex]$OP^2 = 703$[/tex]

What is quadrilateral?

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus. Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties.

We can use the concept of the power of a point, which states that the square of the distance of a point from a line is equal to the product of the distances of the point from the two tangents to the line that are drawn from the point.

Let [tex]$O$[/tex] be the center of the inscribed circle.

The power of point O with respect to AB and CD is [tex]$(OPOQ) = (1937) = 703$[/tex]

Since the Circle is tangent to AB and CD at P and Q respectively, so [tex]$OP = OQ$[/tex]

So, [tex]$OP^2 = 703$[/tex]

Hence, the square of the radius of the circle is [tex]$OP^2 = 703$[/tex]

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Complete question is: A circle is inscribed in quadrilateral [tex]$A B C D$[/tex], tangent to [tex]$\overline{A B}$[/tex] at [tex]$P$[/tex] and to [tex]$\overline{C D}$[/tex] at [tex]$Q$[/tex]. Given that [tex]$A P=19, P B=26, C Q=37$[/tex], and [tex]$Q D=23$[/tex], find the square of the radius of the circle.

define why 2+2 is not 5​

Answers

Answer:

Step-by-step explanation:

because 2 + 2 is 4

Can anyone help with the answer

Answers

The height of the tree to the nearest hundredth of metres is 2.03 metres.

How to find the height of a tree?

Emily is 1.65 metres tall. At 3 pm she measure the length of a tree's shadow to be 28.15 metres . She stands 22.9 metres away from the tree, so that the tip of her shadow meet the tip of the tree shadow.

Therefore, the height of the tree to the nearest hundredth of metres can be calculated as follows:

using proportion,

let

x = height of the tree

Therefore,

1.65 / 22.9 = x / 28.15

cross multiply

28.15 × 1.65 = 22.9 × x

22.9x = 46.4475

divide both sides by 22.9

x = 46.4475 / 22.9

x = 2.02827510917

x = 2.03 metres

Therefore,

height of tree = 2.03 metres

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The lesson is Line of best fit but I dont know the answer

Answers

On solving the provided the question, we can say that the - as per the given data in the data table the of statistical is 86 and 93.

what are statistical data?

Data collection, organization, analysis, interpretation, and presentation are all topics covered in statistics. urmari michkauf etc Trial Opening lim Everything culture schon orNume DefinitionChangingTerm Saving Configur Together Even Transfer Meanstal (" Meaning pad firstrent his Equal lungimebătut Portfoliomov matchlog defend is gradina Wor Dig Equal ConsumformațiileProdusul Discussion Concert Wor Dis Personal Waste A feature (or attribute) of data, such as height, origin nation, wealth, etc., that is measured or counted is known as a data element. Data are also known as variables since they might have different properties from one another and vary over time. Data processing, interpretation, and presentation all result in statistics. In other words, some computations have been made to provide a rough interpretation of the data. Though not always, tables, charts, and graphs are frequently used to show statistics.

From the statistical table,

we have observed value = 86

and the final value is 93

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Select the correct answer. which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9? x 2y = 21
a. 4x 6y = 64
b. 2x y = 36
c. 4x y = 21
d. -3x 4y = 33
e. 3x 2y = 28

Answers

An equation that combines with the given equation  x + 2y = 21 to form a system of equations with the solution x = 3 and y = 9 is 4x + y = 21.

The correct answer is an option (c)

As x = 3 and y = 9 are the solution of system of equations, the required equation must be true for x = 3 and y = 9.

Given equation is: x + 2y = 21

For x = 3 and y = 9 given equation is 3.

In order to find the required equation, we substitute the values of x and y in each equation and check whether the equation is true for x = 3 and y = 9.

a. For equation, 4x + 6y = 64

LHS = 4(3) + 6(9)

LHS = 12 + 54

LHS = 66

LHS ≠ RHS

So, this is not a required equation.

b. 2x + y = 36

LHS = 2(3) + 9

LHS = 6 + 9

LHS = 15

LHS ≠ RHS

So, this is not a required equation.

c. 4x + y = 21

LHS = 4(3) + 9

LHS = 12 + 9

LHS = 21

LHS = RHS

this is the required equation.

d. -3x + 4y = 33

LHS = -3(3) + 4(9)

LHS = -9 + 36

LHS = 27

LHS ≠ RHS

So, this is not a required equation.

e. 3x + 2y = 28

LHS = 3(3) + 2(9)

LHS = 9 + 18

LHS = 27

LHS ≠ RHS

So, this is not a required equation.

Therefore, the reuired equation is 4x + y = 21

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1. The ratio of peaches in a box is constant. The table below compares the number of peaches that are in the box.
boxes peaches
2 6
blank 9
5 blank
6 18

2. The ratio of strawberries in a box is
constant. the table below compares the number of strawberries that are in the boxes
boxes strawberries
2 blank
4 12
5 15
8 blank




please help

Answers

The table representing ratio of peaches in a box should be completed as follows;

Boxes    Peaches

2                 6

3                 9

5                15

6                18

The table representing ratio of strawberries in a box should be completed as follows;

Boxes    Strawberries

2                 6

4                12

5                15

8                24

How to complete the tables?

In order to have a proportional relationship and equivalent ratios that is constant, the variables x for boxes and y for peaches must have the same constant of proportionality. Next, we would determine the constant of proportionality (k) based on the given parameters:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 6/2 = 18/6

Constant of proportionality (k) = 3.

When y = 9 peaches, the value of x is given by;

x = y/k

x = 9/3

x = 3 boxes.

When x = 5 boxes, the value of y is given by;

y = kx

y = 3(5)

y = 15 peaches.

Question 2:

Also, we would determine the constant of proportionality (k) based on the given parameters:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 12/4 = 15/5

Constant of proportionality (k) = 3.

When x = 2 boxes, the value of y is given by;

y = kx

y = 3(2)

y = 6 strawberries.

When x = 8 boxes, the value of y is given by;

y = kx

y = 3(8)

y = 24 strawberries.

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The equation yˆ=−2. 5x+222. 5 models the amount of cholesterol, LDL , for a person, in mg/dl , where x is the time spent exercising per day, in minutes. According to the regression equation, what is the amount of cholesterol for a person exercising 20 minutes a day?


61. 5 mg/dl


81. 5 mg/dl


172. 5 mg/dl


272. 5. 5 mg/dl

Answers

The equation y^ = -2.5x + 222.5 models the amount of cholesterol, LDL, for a person in mg/dl, where x is the time spent exercising per day in minutes.

What in mathematics is a quadratic equation?

Definitions: x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

To find the amount of cholesterol for a person exercising 20 minutes a day, we need to substitute x = 20 into the equation:

y^ = -2.5(20) + 222.5

Solving this equation, we get:

y^ = -50 + 222.5

y^ = 172.5

So, the amount of cholesterol for a person exercising 20 minutes a day is 172.5 mg/dl.

Therefore, the answer is 172.5 mg/dl

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Maggie made the following quilt from 64 square pieces of fabric.

A square array of eight squares wide by eight squares long. The length of the total square is seven and fifty-two hundredths feet.

What is the side length of each square piece of fabric? Enter your answer in the box.
11.75
feet

Answers

Answer:

11.75

Step-by-step explanation:

The quilt consists of a square array of 8 x 8 = <<8*8=64>>64 square pieces of fabric.

Since the length of the total quilt is 7.52 feet, the side length of each square piece of fabric is 7.52 / 8 = <<752/8=0.94>>0.94 feet.

However, since you are asked to enter your answer in the box in feet, you should express 0.94 feet as a decimal to the nearest hundredth. The nearest hundredth of a foot to 0.94 feet is 0.95 feet. Therefore, the side length of each square piece of fabric is approximately 0.95 feet, or approximately 11.75 inches.

So the answer is 11.75 feet.

An item on ale cot 20% of the original price if the original price wa $95 what i the ale price

Answers

By using formula and solving we get the item is on sale for $76.

What is selling price?

The selling price is the amount of money that a seller asks for in exchange for a product or service. It is also known as the "list price" or "retail price" and it is the price at which an item is intended to be sold. Selling price is usually set by the manufacturer or the retailer, taking into account the cost of production, distribution, and marketing, as well as competition and market demand. The selling price is usually higher than the cost of production, which includes the cost of the materials, labor, and overhead expenses.

What is the formula to calculate selling price?

The formula to calculate the selling price of a product or service depends on the information available and the desired level of accuracy. However, there are a few common formulas used to calculate the selling price based on different factors.

Cost-plus pricing formula: This formula calculates the selling price by adding a markup percentage to the cost of the product or service.

The formula is: Selling price = Cost + (Cost x Markup percentage)

If the original price of an item was $95 and it is now on sale for 20% off, we can calculate the sale price using the following formula:

Sale price = Original price x (1 - Discount percentage)

In this case, the discount percentage is 20%, so we can express it as 0.2. Therefore, the formula becomes:

Sale price = $95 x (1 - 0.2)

To calculate the sale price, we need to multiply the original price by (1 - 0.2) which is (1-0.2) = 0.8

Sale price = $95 x 0.8

Sale price = $76

So, the item is on sale for $76.

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Is (x 5) a factor of f(x) = x3 − 4x2 3x 7? explain your reasoning.

Answers

(x+5) is not a factor of f(x) because x = -5 does not satisfy the given equation f(x) = x³ - 4x² + 3x + 7.

Step 1. First we solve the equation x +5 = 0, we get

x = -5

Step 2. By putting the value of x = -5 in f(x) check whether we get a zero or a number other than zero.

If we get zero then x+5 is a factor of f(x) and if we get a number other than zero then x+5 is not a factor of f(x)

f(-5) =  (-5)³ − 4(-5)² + 3(-5) + 7 = - 233

Since we got -233 and not 0. Therefore, (x+5) is not a factor of f(x).

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create a situation relating to coins that can be modelled by the linear system and explain the meaning of each variable

x + y = 24
0.25x + 0.05y = 4.60

Answers

The situation involving coins that is modeled by the system of equations x + y = 24, 0.25x + 0.05y = 4.60 is given as follows:

You have a combination of 24 quarters and cents, and the total you have is of $4.60. How many coins of each type you have.

What is the system of equations?

To obtain the meaning of each of the variables x and y, we look at the second equation, given as follows:

0.25x + 0.05y = 4.60.

This means that:

The variable x represents the total number of quarters, as each quarter coin is worth $0.25.The variable y represents the total number of nickels, as each nickel coin is worth $0.05.

The result of this sum means that the total amount of money that you have is of $4.60.

The first equation is given as follows:

x + y = 24.

Which means that the total number of coins that you have is of 24.

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The mean length of 10 childrens' index finger is 6.8cm.
The mean length of 7 adults' index finger is 12.8cm.
What is the mean length (rounded to 2 DP) of these 17 people's index finger?

Answers

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

What is the y-intercept of the quadratic function f/x )=( x 6 )( x 2?

Answers

The y-intercept of the quadratic function f(x) = (x - 6)(x + 2) is -12.

The y-intercept of a quadratic function is the point at which the graph of the function crosses the y-axis. This means that when x = 0, the value of y is equal to the y-intercept. In the case of the function f(x) = (x - 6)(x + 2), when x = 0, the value of y is equal to -12. This means that the y-intercept of the function is -12. To find the y-intercept, we can also substitute 0 for x in the equation, which would give us 0 = (0 - 6)(0 + 2), which simplifies to 0 = -12, and thus the y-intercept is -12.

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Standardized tests for certain subjects, given to high
Which of the following is the correct interpretation of P(X
school students, are scored on a scale of 1 to 5. Let X
> 4)?
represent the score on a randomly selected exam. The
distribution of scores for one subject's standardized test
• The probability of a of a randomly selected test having
is given in the table.
score of at most 4 is 0.36.
• The probability of a randomly selected test having a
Score
score of at least 4 is 0.36.
Probability
0.18
0.20
0.26
0.21
0.15
• The probability of a randomly selected test having &
score lower than 4 is 0.85.
• The probability of a randomly selected test having a
score higher than 4 is 0.15.


Answers

Answer: • The probability of a randomly selected test having a score higher than 4 is 0.15.

This is the correct interpretation of P(X > 4). P(X > 4) represents the probability of a randomly selected test having a score that is greater than 4. This is calculated by summing up the probability of all the scores that are greater than 4 in the distribution table.

Step-by-step explanation:

What is the degree of this polynomial? y=5x^2 + 3x^6 -10x-8

Answers

Answer:  6

Reason: The degree is the largest exponent.

This rule only works when dealing with single variable polynomials.

The standard form is y = 3x^6+5x^2-10x-8; where the largest exponent term goes first, then the next largest, and so on.

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Answers

Answer:

81/100 is the answer I believe if I'm wrong my bad

Answer:

81/100

Step-by-step explanation:

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What does 2 equivalents mean in chemistry?

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An equivalent  is the amount of a substance that reacts with  an arbitrary amount of another substance in a given chemical reaction.

Arbitrary

It is a relative unit of measurement to show the ratio of amount of substance, intensity, or other quantities, to a predetermined reference measurement.

chemical reaction

chemical reaction is a process in which one or more substances, the reactants, are converted to one or more different substances, the products. Substances are either chemical elements or compounds.

Examples of chemical changes include baking soda and vinegar creating carbon dioxide, iron rusting, and wood burning.

There are five types of general chemical reactions: Combination or synthesis, decomposition, single displacement, double displacement, and combustion.

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