Write an equation of the line in slope-intercept form. 0,1 and 4,2 pls help

a. The probability of guessing exactly three answers correctly is 0.0879.

b. The probability of guessing at least three answers correctly is 0.1035.

c. The probability of guessing less than three answers correctly is 0.8965.

Total number of questions = 5

Possible answer = 4

Therefore, the probability that the question is correct = 1/4 = 0.25

By using the Binomial Probability distribution

P(X=x) = ⁿCₓ * p^x * (1-p)^n-x

a) P(X = 3) = ⁵C₃ * (0.25)^3 * (1-0.25)^5-3

P(X = 3) = 0.0879

Therefore, the probability of guessing exactly three answers correctly is 0.0879.

b) P(X ≥ 3) = 1 - P(X ≤ 2)

P(X ≥ 3) = 1 - P(X = 0) + P(X = 1) + P(X = 2)

P(X ≥ 3) = 1 - (0.2373 + 0.3955 + 0.2637)

P(X ≥ 3) = 1 - 0.8965

P(X ≥ 3) = 0.1035

Therefore, the probability of guessing at least three answers correctly is 0.1035.

c) P(X < 3) = P(X ≤ 2)

P(X < 3) = 0.8965

Therefore, the probability of guessing less than three answers correctly is 0.8965.

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Answer:

[tex]12w^7 z^6[/tex]

Step-by-step explanation:

[tex]2w^5 z(6w^2 z^5)=(2)(6)w^5 w^2 z^5 z=12w^7 z^6[/tex]

The required equation of the lines in the slope-intercept form can be obtained as y = -0.5x + 3, y = 2.5x + 1, y = -4x - 5, y = -x + 2, y = 2/3x - 4 and y = x.

A straight line can be written in the slope-intercept form as, y = mx + c.

In order to obtain the slope, the ratio of the difference of the coordinates are taken and c is the y-intercept which can be found by substituting x = 0 in the equation.

The  equation of the lines given in the graph can be written as,

(4) Slope of the line is m = (3 - 0)/(0 - 6)

⇒ m = -0.5

And, y-intercept is 3

Then, the slope-intercept equation can be written as y = -0.5x + 3.

(5) Slope of the line is m = (1 - (-4))/(0 - (-2))

⇒ m = 5/2 =2.5

And, the y-intercept is 1.

Then, the slope-intercept equation can be written as y = 2.5x + 1.

(6) Slope of the line is m = (-5 - 3)/(0 - (-2)) = -4

And, the y-intercept is -5.

Then, the slope-intercept equation can be written as y = -4x - 5.

(7) Slope of the line is m = (2 - 0)/(0 - 2) = -1.

And, the y-intercept is 2.

Then, the slope-intercept equation can be written as y = -x + 2

(8) Slope of the line is m = (-4 - 0)/(0 - 6) = 2/3

And, the y-intercept is -4.

Then, the slope-intercept equation can be written as y = 2/3x - 4.

(9) Slope of the line is m = (6 - 0)/(6 - 0) = 1.

And, the y-intercept is 0.

Then, the slope-intercept equation can be written as y = x.

Hence, the equations of the lines can be obtained as y = -0.5x + 3, y = 2.5x + 1, y = -4x - 5, y = -x + 2, y = 2/3x - 4 and y = x.

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Answer:

is there any pictures???

The two years that the panthers had the greatest change in their win-loss record is; b. between 2000-2001

A Bar Graph is also called a Bar Chart and is essentially a graphical display of data that makes use of bars of different heights.

The vertical axis is called the y-axis while the horizontal axis is called the x-axis.

Now, from the image attached, we can see that the x-axis represents the years in which the panthers had their win-loss record where the blue bar represents a win record while the purple bar represents the loss record.

Now, looking at the given bar graph, we can see that almost all the years have similar win - loss record except for year 2001 that had a large difference.

Thus, the greatest change came from between year 2000 and 2001.

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This equation has no solution

To solve this problem, you will need to use the rules of complex numbers to multiply and simplify the given expressions.

First, let's simplify each of the given expressions:

(a+ib) (3 + 4i ) = a3 + a4i + ib3 + ib4i

= (3a - 4b) + (4a + 3b)i

(2 + i ) (2- i ) = (2*2) + (2(-1))i + (1*2) + (1(-1))i

= (4 - 1) + (2 - 1)i

= 3 + i

Now, we can set the two expressions equal to each other and solve for a and b:

(3a - 4b) + (4a + 3b)i = 3 + i

3a - 4b = 3

4a + 3b = 1

We can solve this system of equations using any method you prefer, such as substitution or elimination. One way to solve this system is to eliminate one of the variables by multiplying the first equation by 4 and the second equation by -3:

12a - 16b = 12

-12a - 9b = -3

This simplifies to:

0 = 9

This equation has no solution, so the original expression cannot be true. This means that a²+b² is not defined in this case.

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In the given situation there are 144 possible ways for the nine representatives at the table.

We will first determine how many different options there are to seat the delegates of the three nations at the table.

We can arrange the three delegates we have for England in 3! = 6 different ways.

We can arrange the four delegates we have for Germany in 4! = 24 different ways.

We can organize the two representatives we have for France in 2! = 2 different ways.

The total number of arrangements for all nine delegates is obtained by multiplying the number of arrangements for each country's representatives.

6 x 24 x 2 = 288 ways

However, because the table is round, two configurations are deemed identical if they can both be created by rotating one.

To put it another way, the configurations are identical to one another and are not counted individually.

The total number of configurations divided by the number of identical arrangements gives the number of ways to position all nine representatives around the table (also known as rotations).

288 / 2 = 144

The nine representatives can be seated at the table in 144 different ways.

Because 144 is an even number, it should be noted that there are actually twice as many possible methods to solve the problem (144 x 2 = 288), or 540 options.

Therefore, in the given situation there are 144 possible configurations for the nine representatives at the table.

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Complete question:
An international meeting is held between england, Germany, and france. three representatives attend from England, four from germany, and two from france. how many ways can all nine representatives sit around a circular table, if representatives of the same country sit together? (two ways are considered the same if one can be rotated to produce the other.)

Answer:

a = 23

c= 13

this is the answer

Answer:

g( [tex]\frac{3}{2}[/tex] ) = - [tex]\frac{35}{4}[/tex]

Step-by-step explanation:

substitute x = [tex]\frac{3}{2}[/tex] into g(x) , that is

g( [tex]\frac{3}{2}[/tex] )

= - 2( [tex]\frac{3}{2}[/tex] )³ - [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{2}[/tex]

= - 2 × [tex]\frac{27}{8}[/tex] - 2

= = - [tex]\frac{27}{4}[/tex] - [tex]\frac{8}{4}[/tex]

= - [tex]\frac{35}{4}[/tex]

4 is the value of x ,on solving that  m and n are in perpendicular lines. calculating  the slope of AB is explained below,

in  order to find the slope of AB. the formula is used as

m=(y2-y1)/(x2-x1)

on substituting we get,

m=(8-6)/(4-(-2))

m=2/6

m=1/3

Calculating CD  in which it is perpendicular to AB

hence, it should contains the negative reciprocal of the slope of AB, mathematically as ,

m1 * m2= - 1  ,condition is applied when m and n  lines to be perpendicular

hence,

m/3=-1

m = - 3    

therefore  CD will have a slope of -3

in which CD  can be expressed as part of the each  line:

y=-3x+b, on solving  for b using point C, (8,12)...

12 = - 3(8) + b

12= - 24 + b

36=b

hence, the line of CD is :

y = - 3x + 36  

the x coordinate is calculated  for (x,24),

hence,

y=24

24=-3x+36

3x+24=36

3x=12

x=4

therefore the value of x = 4 when the 2 lines are in parallel lines .

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Note that the scale and actual area are matched as follows;

To find the area of the scale drawing, you can use the following formula:

Scale Drawing Area = (Actual Area) x (Scale Ratio)²

Let's take the first for example.

We have the Actual Area to be 147; and

Scale Ratio to be 1 inch to 7 feet. That is 1/7

Thus,

Scale Drawing Area = 147 x (1/7)²

Scale Drawing Area = 147 x 0.02040816326  ; thus

Scale Drawing Area = 3

Thus, where you have:

147 square feet is equivalent to 3 square inches when using a scale of 1 inch to 7 feet.

Repeat the above process for each of the other categories.

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1000 cubic millimeters are in a cubic centimeter.

'What is cubic centimeter?'

There are 1000 cubic millimeters in one cubic centimeter (cm³) (mm³). Add 1000 to the cubic cm number to convert it to cubic mm.

For instance, multiplying 10 by 1000 results in 10000 mm3, or how many cubic mm there are in 10 cubic cm.

The volume of small items is measured in cubic centimeters, a tiny unit of measurement. Discover standard units of measurement, the definition of cubic centimeters, how to convert them, and how to measure volume using cubic centimeters. A little cube with sides that are 1 cm long occupies the same amount of space as a cubic centimeter.

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The probability of choosing a ball numbered 25 in a lottery game that contains 24 balls numbered 1 through 24 is 0.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will definitely occur.

Since a lottery game contains 24 balls numbered 1 through 24, it does not contain the ball numbered 25. So it can not be chosen at all.

probability = 0

Therefore, the probability of choosing a ball numbered 25 is 0.

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Answer:b

Step-by-step explanation:

b

Answer:

Step-by-step explanation: Jay might run 4 miles in 20 minutes. Step-by-step explanation: If Jay ran on Monday = 1 mile in 5 minutes. On Tuesday = 2 miles in 10 minutes.

The polynomial function f(x)=5 (2x+3)(x+4) (x − 2) has exactly 3 zeros. So statement A is correct.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is f(x)=5(2x+3)(x+4) (x − 2)

The roots we can find by using 2x+3=0, x+4=0 and x-2=0

x=-3/2

x+4=0

x=-4

and x=2 are the roots of function.

Roots are nothing but zeros of the polynomial.

The function has exactly 3 zeros.

Hence, the polynomial function f(x)=5 (2x+3)(x+4) (x − 2) has exactly 3 zeros. So statement A is correct.

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The required value of c is c = 1.407 which satisfies the Mean Value Theorem.

The Mean Value Theorem states that if a function f is continuous on a closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such that f'(c) = (f(b) - f(a))/(b-a).

As per the given question, [tex]f(x) = (5x-10)^{2/3}[/tex], a=0, and b=2.

To find the values of c that satisfy the Mean Value Theorem, we need to find the derivative of f(x) and then solve the equation f'(c) = (f(2) - f(0))/(2-0) for c.

The derivative of f(x) is f'(x) = 5 × (2/3) [tex]\dfrac{1}{(5x-10)^{1/3}}[/tex]  = (10/3) × [tex]\dfrac{1}{(5c-10)^{1/3}}[/tex]

Substituting this into the equation above, we get

(10/3) × [tex]\dfrac{1}{(5c-10)^{1/3}}[/tex] =  [tex]\dfrac{0 - 10^{2/3}}{2-0}[/tex]

(10/3) × [tex]\dfrac{1}{(5c-10)^{1/3}}[/tex] = [tex]-\dfrac{10^{2/3}}{2}[/tex]

Solving this equation for c, we find that c =38/27≈ 1.407.

Thus, the value of c that satisfies the Mean Value Theorem is c = 1.407.

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Answer: The markup percentage for the shirts is 22%. This means that the store makes a profit of 22% on the shirts, based on the cost price.

Step-by-step explanation:

To find the percent markup of the shirts in this case, we can use the following formula:

Markup percentage = (selling price - cost price) / cost price x 100%

Given that the cost price of the shirts is $9,000 and the selling price is $20 per shirt, we can substitute these values into the formula and calculate the markup percentage:

Markup percentage = ($20 - $9,000) / $9,000 x 100%

= (11,000 - 9000) / 9000 x 100% = 2000/9000 x 100% = 0.22 x 100% = 22%

- C

Answer:

There were 240/6=<<240/6=40>>40 contestants eliminated in round 1.

There were 240/5=<<240/5=48>>48 contestants eliminated in round 2.

There were 240/3=<<240/3=80>>80 contestants eliminated in round 3.

Altogether, there were 40+48+80=<<40+48+80=168>>168 contestants eliminated.

Therefore, there are 240-168=<<240-168=72>>72 contestants left.

Step-by-step explanation:

Ethan needs 3 more weeks  to pay all the money he owes his mother

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Since Ethan pays his mother $5 a week for his phone bill. At week 12, Ethan still owes $15.

In order to determine how many weeks he needs to pay all the he owes, you need to divide the amount he is owing by the amount he pays per week. That is:

number of weeks = $15/$5 = 3 weeks

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Answer: < B is larger than a right angle

Step-by-step explanation:

Answer: Sam: 40 Cherries; Fred 60; Charlie 80

Step-by-step explanation:

180= C+F+S

C=2S

F=20+S

180= (2S)+(20+S)+ S

180= 4S+20

160=4S

40=S

F= 20+ (40); 60

C=2(40); 80

The scale factor is 8 : 1 ( option A)

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2. The new sides will be 4cm and 8cm. Therefore the scale factor is 2

To calculate scale factor we divide the new shape size by original shape .

The new shape is 24m and the original shape is 3m.

scale factor = 24m/3m = 8/1

therefore scale factor = 8 : 1

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Answer:

8:1

Step-by-step explanation:

On solving the provided question, we can say that - the perimeter chest won't fit next to her bed, thus the answer is no.

The perimeter of a form is determined by the length of its contour. A rectangle or square's perimeter is determined by adding the widths of its four sides. In this instance, the rectangle's length and breadth are represented by x and y, respectively. The surface of a form is used to compute its area.

Given here is: In her room, it is 86 inches wide. The width of the bed is 76 inches.

She also wants to accommodate a chest of drawers that is 72 centimeters broad, which equals inches.

=> 90 cm = 24.6546536565 inches

and the space left in her room = 86-76=10 inches

thus, the chest will not fit next to her bed

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1. -2

2. 9

Also could you mark my answer as brainliest? It helps and doesnt hurt

Using a system of equations, if the summer soccer camp paid a total of $1,046 for the purchase of 84 soccer balls and t-shirts for $25 and $9.50 each, the number of each item ordered was 16 soccer balls and 64 t-shirts.

A system of equations is described as two or more equations solved concurrently.

It is also called simultaneous equations.

The total number of soccer balls and t-shirts ordered = 84

The cost per soccer ball = $25

The cost per t-shirt = $9.50

The total payment for the two items = $1,046

Let soccer balls = s and t-shirts = t

s + t = 84 ... Equation 1

25s + 9.5t = 1,046 ... Equation 2

Multiply Equation 1 by 25 to eliminate s:

25s + 25t = 2,100 ... Equation 3

Subtract Equation 2 from Equation 3:

25s + 25t = 2,100

-

25s + 9.5t = 1,046

= 15.5t = 1,054

t = 68

s + t = 84

s + 68 = 84

s = 16

Check:

25s + 9.5t = 1,046

25(16) + 9.5(68) = 1,046

400 + 646 = 1,046

Thus, the camp ordered 16 soccer balls and 64 t-shirts.

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Answer:D

Step-by-step explanation: 1/3x-1 = 5

1/3x=6

3(1/3x) = 3(6)

x=18

Step-by-step explanation:

the solution of a system of 2 equations (lines or other forms of functions) is the set of all intersection points.

that is where the equations are equal, share the same "behavior".

for 2 lines it is only possible to have

in our case here we see that most points are different.

so, the lines are not identical.

and there is one point they have in common : (0, 2).

that is the solution, the one intersection point.

since they have a point in common, they cannot be parallel.

Answer:

Maps show height in a number of different ways: Spot heights and triangulation pillars This map extract shows exact heights by a black dot with a number next to it

Step-by-step explanation: