What equation represents the slope intercept from the line below y intercept ( 0, 2) slope -3/7 ( PLEASE HELP FAST TOP ANSWER GETS BRAINLIEST!!)

What Equation Represents The Slope Intercept From The Line Below Y Intercept ( 0, 2) Slope -3/7 ( PLEASE

Answers

Answer 1

Answer:

[tex]\boxed{Option \ A}[/tex]

Step-by-step explanation:

y-intercept = b = 2   [y-intercept is when x = 0]

Slope = m = -3/7

Putting this in slope-intercept equation

=> [tex]y = mx+b[/tex]

=> [tex]y = -\frac{3}{7}x + 2[/tex]

Answer 2

Answer:

a

Step-by-step explanation:


Related Questions

What is the solution of this system of linear equations?
A. (1, 0)
B. (0,0)
C. (0, 1)
D. X=0
Graph is attached , help quick please

Answers

Answer:

The answer is C.

Step-by-step explanation:

In order to find the solution of the linear equation, you have to find the coordinates where they intersect.

So according to the graph, both lines intersect at the coordinates of ( 0 , 1 ).

(Correct me if I am wrong)

Alguien que sepa cómo se resuelve ésto que me ayudé a solucionarlo,es urgente,doy 25 puntos

Answers

38 42 34 54

Step-by-step explanation:

7have the best mayonnaise bianco babi naive albino pig is this real or not be a posible and I am a great day for 53feet

Is (0, 3) a solution to the following system?
Y=-x+3
Y=2x-3
A No, because it does not check in either equation.
B. No, because it does not check in the first equation.
C. No, because it does not check in the second equation.
D. Yes, because it checks in both equations.

Answers

Solve each equation with (0, 3)

y = -x + 3

3 = -0 + 3

y = 3 (correct since y = 3 in (0, 3))

y = 2x - 3

3 = 2(0) - 3

3 = 0 - 3

3 = -3 (incorrect since it isn't equal)

So... No, because it does not check in the second equation.

Best of Luck!

Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation? because both triangles appear to be equilateral because∠MNL and ∠ONP are congruent angles because one pair of congruent corresponding angles is sufficient to determine similar triangles because both triangles appear to be isosceles, ∠MLN ≅ ∠LMN, and ∠NOP ≅ ∠OPN

Answers

Answer:

The correct option is;

Because ∠MNL and ∠ONP are congruent angles

Step-by-step explanation:

From the diagram shown in the question, ∠MNL and ∠ONP are vertically opposite angles as they are formed by crossing of the lines LP and MO making them congruent, that is ∠MNL ≅ ∠ONP

Given that two angle of triangle LMN are congruent to two angles of triangle PON , then by the Angle Angle (AA) rule of similarity, triangle LMN and PON are similar.

The information in the diagram enough to determine that △LMN ~ △PON because∠MNL and ∠ONP are congruent angles.

What are Congruent angles?

These are referred to angles which have an equal measure. From the diagram ,vertically opposite angles are formed by crossing of the lines LP and MO thus,we can deduce that ∠MNL and ∠ONP are congruent angles.

This means that there is enough information to determine that △LMN ~ △PON using a rotation about point N and a dilation.

Read more about Congruent angles here https://brainly.com/question/1563325

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Consider the two functions. Which statement is true?
A)Function 1 has a greater rate of change by 13/4
B)Function 2 has a greater rate of change by 13/4
C)Function 1 has a greater rate of change by 13/2
D)Function 2 has a greater rate of change by 13/2

Answers

Answer: Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

We must work with linear equations, remember that the general shape is:

y = a*x + b

where a is the slope and b is the y-intercept.

Ok, first we want to find the rate of change (or the slope) of the graphed line:

We know that for a line that passes through the points (x1, y1) and (x2, y2)

The slope is:

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

Then for the graphed function, we can see that it passes through the points:

(0, -2) and (4, 0)

Then the slope is:

a = (0 -(-2))/(4 - 0) = 2/4 = 1/2

Now, the slope of the second line is 15/4.

Let's calculate the difference between the slopes:

15/4 - 1/2 = 15/4 - 2/4 = 13/4

(notice that we are calculating slope2 - slope1)

Then the correct option is:

Function 2 has a greater rate of change by 13/4

Answer:

B) Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

The distance from Parrot Point Airport to the Ivy Cliffs is 178 miles at and angle of 7.1 degrees northeast. There is a wind blowing southeast at 30 miles per hour. You want to make this trip in 2 hours by flying straight there. At what speed* and heading should you fly? * Round the speed to the nearest tenth of a mile per hour and angle to the nearest tenth of a degree. Where north is 0 degrees and positive is clockwise.

Answers

Answer:

The speed is 74.0 miles per hour and the angle is 65.1° north-east

Step-by-step explanation:

We resolve the distance moved by the wind and plane into horizontal and vertical components. The direction moved horizontally by the plane is 178sin7.1 = 22 miles.

Since the wind is moving south east, it is at 45 south of east or a bearing of 135.

Since the wind speed is 30 mph and it takes 2 hours to complete the trip, the horizontal distance moved by the wind is vtcos135 = 30 × 2cos45 = 42.43 miles

Also, the vertical displacement moved by the wind is vtsin135 = -30 × 2 sin45 = -42.43 miles

The displacement moved vertically by the plane is 178cos7.1 = 176.64 miles

The total horizontal displacement of the plane is 22 miles + 42.43 miles = 62.43 miles

The total vertical displacement of the plane is 176.64 miles - 42.43 miles =   134.21 miles

The resultant displacement is thus d = √(62.43² + 134.21²) = 148.02 miles

The direction of this displacement is thus

Ф = tan⁻¹(total vertical displacement/total horizontal displacement)

= tan⁻¹(134.21/62.43)

= tan⁻¹(2.1498)

= 65.05°

= 65.1° to the nearest tenth degree.

The speed is thus v = distance/ time = 148.02 miles/ 2 hours = 74.01 mph ≅ 74 mph. Since the direction of the displacement is the direction of the velocity, the velocity is thus 74 miles per hour at 65.1° north-east.

So the speed is 74.0 miles per hour and the angle is 65.1° north-east

Can someone please help me with this and show work

Answers

Answer:

29/6-16/2549/30Rationalize(1.63333333333)1*(19/30)

Which equation describes the line graphed above? A. -4x-5 B. -1/5x-4 C. -5x-4 C. -4x-1/5

Answers

Answer: B

Explanation:

The line go down one and turn right 5

So slope = -1/5x

And the y intercept is at -4

So B is the correct answer

The equation is -1/5x-4 represented by the graph. The correct option is B.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Let us check the equation -1/5x-4. The line goes down one and turns right 5. The Slope is -1/5x and the y-intercept is at -4. The graph of the equation is attached with the answer below.

Hence, option B is correct.

To know more about equations follow

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What is the measure of ∠XBC? m∠XBC = m∠BAC + m∠BCA 3p – 6 = p + 4 + 84 3p – 6 = p + 88 2p – 6 = 88 2p = 94 m∠XBC

Answers

Just divide the numbers by the starter and multiply it by the first one sorry if I’m wrong

A percent measures a rate

Answers

answer = no it does not measure a rate

Answer:

NO

Step-by-step explanation:

Percent is just a number out of 100

2
What is the solution of the equation 6x - 3 = -51?
A. -9
B. -8
c. 8.
D. 9​

Answers

Answer:

x = -8

Step-by-step explanation:

6x - 3 = -51

Add 3 to each side

6x - 3+3 = -51+3

6x = -48

Divide each side by 6

6x/6 = -48/6

x = -8

The answer is C +3 on both sides then do 6x = -48 n it gives u -8 because -48/6 is -8

Bella is going back to school shopping and her favorite store is having a sale. She sees there are 4 packages of 15 tops for $18 and 5 packages of 10 tops for $16 which is the better deal? How do you know

Answers

Answer:

The 4 packages of 15 tops for $18 is a better deal

Step-by-step explanation:

We can see which set of tops have the lowest unit price.

4 packages of 15 tops for $18:

4*15=60

There is a total of 60 tops for $18, which means each top costs 18/60 dollars, or $0.30.

5 packages of 10 tops for $16

5*10=50

There is a total of 50 tops for $16, which means that each top costs 16/50 dollars, or $0.32.

0.32>0.3

The 4 packages of 15 tops for $18 is a better deal :)

Have a great day

The function f(t) = -6r+ 11 has the range {- 37. - 25. - 13, -1). Select the domain values from the list
1. 2. 3. 4. 5. 6. 7. 8. Justify your choices by explaining how you determined the domain values.

Answers

answer

-6r+-11=-37

-6r=-37+11

-6r=-48

r=8

The Hernandez family ordered one jumbo pizza with a diameter of 20 inches, cut it into 15 equal slices, and had 3 slices left over after dinner. The Mullins family ordered two medium pizzas, each with a diameter of 12 inches, cut them into 8 equal slices each, and had 6 slices left over after dinner. How much pizza did the Mullins family eat as a fraction of the pizza the Hernandez family ate?

Answers

Answer: Mullins family eat [tex]\dfrac{9}{20}[/tex] of the pizza the Hernandez family ate.

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex] , where r is the radius

Given, Diameter of Hernandez family's pizza = 20 inches

Radius = [tex]\dfrac{20}{2}[/tex] = 10 inches

Area of Hernandez family's pizza  = [tex]\pi (10)^2=100\pi \text{ in.}^2[/tex]

Since, they divide pizza into 15 pieces , area of each slice = [tex]\dfrac{100\pi}{15}=\dfrac{20}{3}\pi\text{ in.}^2[/tex]

They left with 3 slices i.e. they ate 12 slices, area of all 12 slices = 12 x (area of each slice)

= [tex]12\times\dfrac{20}{3}\pi\text{ in.}^2= 80\pi\text{ in.}^2[/tex]

Diameter of Mullins family's pizza = 12 inches

Radius = [tex]\dfrac{12}{2}[/tex] = 6 inches

Area of Mullins family's pizza  = [tex]\pi (12)^2=144\pi \text{ in.}^2[/tex]

Since, they divide pizza into 8 pieces , area of each slice = [tex]\dfrac{144\pi}{8}=18\pi\text{ in.}^2[/tex]

They left with 6 slices i.e. they ate 2 slices, area of all 2 slices = 2 x (area of each slice)

= [tex]2\times18\pi\text{ in.}^2=36\pi\text{ in.}^2[/tex]

Since, [tex]\dfrac{36\pi}{80\pi}=\dfrac{9}{20}[/tex]

Hence, Mullins family eat [tex]\dfrac{9}{20}[/tex] of the pizza the Hernandez family ate.

URGENT!!! Please help me with this question!!!

Answers

Answer:

Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle. The inscribed angle's arc measures 36%, and the central angle's arc measure 72%

Answer:

75

%Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle.

A penny is dropped from a height of 144 feet. Calculate the time between when the rock was dropped and when it landed. If we choose
"down" as positive and ignore air friction, the function is h(t) 16t2 - 144.

Answers

Answer:

3 seconds

Step-by-step explanation:

Given the function :

h(t) = 16t2 - 144.

h = height = 144 and t = time after t seconds the ball penny was dropped.

When the penny lands, h = 0

Therefore, our function becomes ;

16t2 - 144 = 0

The we can solve for t

16t^2 - 144 = 0

16t^2 = 144

Divide both sides by 16

(16t^2 / 16) = 144 / 16

t^2 = 9

Take the square root of both sides

t = 3

Therefore, the time between when the rock was dropped and when it landed is 3seconds

Answer:

t = 3 seconds

Step-by-step explanation:

Pls help me with this question

Answers

Answer:

[tex]\sqrt[5]{x^7}[/tex]

or (x ^ 1/5) ^7

or ([tex]\sqrt[5]{x}[/tex])^7

Step-by-step explanation:

x ^ 1.4

Rewriting the decimal as an improper fraction

x ^ 14/10

x ^ 7/5

The top is the power and the bottom is the root

[tex]\sqrt[5]{x^7}[/tex]

or (x ^ 1/5) ^7

or ([tex]\sqrt[5]{x}[/tex])^7

Is the following relation a function?

Answers

Answer:

No, Given relation is not a function.

Explanation:

We know that , if any vertical line cuts the given graph of relation at exactly one point, then the relation can be called as function.

From Given graph , we find that the vertical line through any point on x-axis greater than zero (ex : X = 5) cuts the graph at more than one point.

Hence, Given relation is not a function.

Hope this helps...

Good luck on your assignment...

A shoe salesperson earns a 5% bonus on weekly sales over $3,000. Consider these functions to answer the following questions. f(x) = x – 3,000 g(x) = 0.05x Part A In your own words, explain what each of the functions represents.

Answers

Answer:

g(x)= 0.05x represents the amount of bonus, f(x)=x-3,000 represents weekly sales over $3,000.

Step-by-step explanation:

The function f(x) represents how much money earned by sales person weekly over $3000.

And function g(x) represents the amount of bonus earned by salesperson.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.

According to the given question.

The percent of bonus earned by salesperson weekly on sales over $3,000 is 5%.

Also, we have two functions.

[tex]f(x) = x - 3000[/tex]

and [tex]g(x) = 0.05x[/tex]

For the function, f(x) if x is the amount of money earned salesperson in a week, then f(x) will represents how much money salesperson earned apart form $3000.

And the function g(x) represents the amount of bonus earned by the salesperson.

Hence, the function f(x) represents how much money earned by sales person weekly over $3000. And function g(x) represents the amount of bonus earned by salesperson.

Find out more information about function here:

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Parallelogram L M N O is shown. Angle L is (x + 40) degrees and angle O is (3 x) degrees. What is the measure of angle O in parallelogram LMNO? 35° 75° 105° 155

Answers

Answer:

C, 105 Degrees

Step-by-step explanation:

So the two opposite sides of a parallelogram is equal to each other and the two adjacent angles are supplementary. So if (x+40)+3x=180, this means that 4x+40=180. This gives us 4x=140, so x=35. If we plug it back into the equation it ascertains as such: 3(35)= 105. The answer for this question and angle O is 105 degrees, or C.

The measure of angle O in this parallelogram is 105°.

The properties of a parallelogramThe opposite angles of a parallelogram are equal.The Opposite sides of the parallelogram are equal and parallel.The diagonals of the parallelogram bisect each other.The Sum of the angles = 360°

Solution

Because the properties says that opposite angles are equal.

Angle L =  (x + 40)

angle O = (3 x)

Applying the first property

x+40+x+40+3x+3x = 360

collect the like terms

x+x+3x+3x+40+40 = 360

8x+80 = 360

8x = 360-80

8x = 280

Divide through the equation by 8

x = 280/8

x = 35

The question wants us to find the value of angle O

O = 3x

O = 3*35

= 105

The value of angle O is equal to 105°

Read more on parallelograms here:

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find the rules for these sequence ​

Answers

Answer:

start with -29, multiply each term by 4

start with 60, multiply each term by 0.1

start with 97 and multiply each term by 0.5

3.03 cells

Step-by-step explanation:

1. The first sequence begins with -29. -116 ÷ -29 = 4, -464 ÷ -116 = 4, etc. Each value is multiplied by 4 to get the next value.

2. The second sequence begins with 60. 6 ÷ 60 = 0.1, 0.6 ÷ 6 = 0.1, etc. Each value is multiplied by 0.1 to get the next value.

3. The colony starts with 97 cells. Splitting into two is the same as multiplying by 0.5.

4. Multiply 97 by 0.5, 5 times for 5 minutes.

97 · 0.5 · 0.5 · 0.5 · 0.5 · 0.5 = 3.03

Which value of m will create a system of parallel lines with no solution? y=mx-6 8x-4y=12 A coordinate grid with one line labeled 8 x minus 4 y equals 12. The line passes through a point at (0, negative 3), (1, negative 1) and a point at (1.5, 0). -2 - 2

Answers

Answer:

A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2

Step-by-step explanation:

The equation of the given line is 8·x - 4·y = 12

Which gives;

8·x- 12= 4·y

y = 2·x - 3

Given that the line passes through the points (0, -3) and (1, -1), we have;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

When (x₁, y₁) = (0. -3) and (x₂, y₂) = (1, -1), we have;

[tex]Slope, \, m =\dfrac{(-1)-(-3)}{1-(0)} = 2[/tex]

y - (-3) = 2×(x - 0)

y = 2·x - 3 which is the equation of the given line

For the lines 8·x - 4·y = 12, which is the sane as y = 2·x - 3 and the line y = m·x  - 6 to have no solution, the slope of the two lines should be equal that is m = 2

Given that the line passes through the point (1.5, 0), we have;

y - 0 = 2×(x - 1.5)  

y = 2·x - 3...................(1)

For the equation, y = m·x  - 6, when m = 2, we have;

y = 2·x  - 6..................(2)

Solving equations (1) and (2) gives;

2·x - 3 = 2·x  - 6, which gives;

2·x - 2·x=  - 3 - 6

0 = 9

Therefore, a system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2.

Answer:

short answer is 2 or d

Step-by-step explanation:

The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of the object.

Answers

Answer:

v=√E/m or v=√E /√m

Step-by-step explanation:

Complete question below:

The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of

the object.

E = mv^2

Solve the formula for v.​

Solution

E=mv^2

Where,

E=kinetic energy

m=mass

v=speed of the object

E=mv^2

Divide both sides by m

E/m=mv^2/m

E/m=v^2

It can be rewritten as

v^2=E/m

Square root both sides

√(v^2)=√E/m

v=√E/m

Or

v=√E/√m

This is to say speed (v)=square root of kinetic energy (E) Over masa(m)

Romeo is using a common algorithm to find the product of 8,125 × 9. Drag the correct numbers to the problem to show the partial products and to complete the multiplication for Romeo.

Answers

Answer:

its harddd

Step-by-step explanation:

rightttttttt

Find the sum of two consecutive odd numbers is 56 find the numbers

Answers

Answer:

[tex]\boxed{\sf 27 \ and \ 29}[/tex]

Step-by-step explanation:

Let the first consecutive odd integer be [tex]\sf x[/tex].

Let the second consecutive odd integer be [tex]\sf x+2[/tex].

The sum of the two numbers is 56.

[tex]\sf x+x+2=56[/tex]

[tex]\sf 2x+2=56[/tex]

[tex]\sf 2x=54[/tex]

[tex]\sf x=27[/tex]

Put x as 27 for the second consecutive odd integer.

[tex]\sf 27+2=29[/tex]

The two numbers are 27 and 29.

Use Descartes' Rule of Signs to find the number of possible positive real roots and the number of possible negative real roots for the function f(x) = x^4+ 2x^3-3x^2- 8x - 4.


a positive 1; negative 3 or 1


b. positive 1; negative 3 or 5


C. positive 3; negative 3 or 1


d. positive 3; negative 3 or 5

Answers

Answer:

a positive 1; negative 3 or 1

Step-by-step explanation:

To determine the number of positive roots, we have to determine the number of sign changes for f(x) = x⁴ + 2x³ - 3x² - 8x - 4.

The coefficients in f(x) are +1, +2, -3, -8, -4.

Since there is only one sign change from +2 to -3, we have 1 positive root.

To determine the number of negative roots, we have to determine the number of sign changes for f(-x) = (-x)⁴ + 2(-x)³ - 3(-x)² - 8(-x) - 4 = x⁴ - 2x³ - 3x² + 8x - 4

The coefficients in f(-x) are +1, -2, -3, +8, -4.

Since there is three sign change from +1 to -2, from -3 to +8, and from +8 to -4. So,we have 3 or 1 negative root, since the number of negative roots is equal to the number of sign changes or an even number less than the number of sign changes. So, 3 -2 = 1

So, the number roots are of positive 1; negative 3 or 1

Answer:

a.positive 1; negative 3 or 1

Step-by-step explanation:

EDGE 2020

Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and \$0.08$0.08dollar sign, 0, point, 08 per ball. The field has a promotion that says, "Get \$10$10dollar sign, 10 off if you spend \$75$75dollar sign, 75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.
Let BBB represent the number of paintballs that Carolina buys.
1) Which inequality describes this scenario?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
18+0.08B \leq 7518+0.08B≤7518, plus, 0, point, 08, B, is less than or equal to, 75

(Choice B)
B
18+0.08B \geq 7518+0.08B≥7518, plus, 0, point, 08, B, is greater than or equal to, 75

(Choice C)
C
18+0.08B \leq 1018+0.08B≤1018, plus, 0, point, 08, B, is less than or equal to, 10

(Choice D)
D
18+0.08B \geq 1018+0.08B≥1018, plus, 0, point, 08, B, is greater than or equal to, 10
2) What is the smallest number of paintballs that Carolina can buy along with the entrance fee to get the promotion?
paintballs

Answers

Inequalities are used to show unequal expressions; in other words, it is the opposite of equalities.

The inequality that represents the scenario is, [tex]18 + 0.08B \ge 75[/tex] and the smallest number of balls Carolina can buy is 713

Given that:

[tex]Entrance\ Fee = \$18[/tex]

[tex]Rate = \$0.08[/tex] per ball

Let:

[tex]B \to Balls[/tex]

The amount (A) Carolina can spend on B balls is:

A = Entrance Fee + Rate * B

This gives:

[tex]A = 18 + 0.08 * B[/tex]

[tex]A = 18 + 0.08B[/tex]

To get $10, Carolina must spend $75 or more.

This means:

[tex]A \ge 75[/tex]

So, the inequality is:

[tex]18 + 0.08B \ge 75[/tex]

The smallest number of balls is calculated as follows:

[tex]18 + 0.08B \ge 75[/tex]

Collect like terms

[tex]0.08B \ge 75 - 18[/tex]

[tex]0.08B \ge 57[/tex]

Divide both sides by 0.08

[tex]B \ge 712.5[/tex]

Round up

[tex]B \ge 713[/tex]

Hence, the inequality is [tex]18 + 0.08B \ge 75[/tex] and the smallest number of balls is 713

Learn more about inequalities at:

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Using a linear function, it is found that:

1. [tex]18 + 0.08B \geq 75[/tex], given by option B.2. She has to buy at least 713 paintballs.

-----------

The linear function for the cost of B paintballs has the following format:

[tex]C(B) = C(0) + aB[/tex]

In which

C(0) is the fixed cost.a is the cost per paintball.

-----------

Question 1:

Entrance fee of $18, thus [tex]C(0) = 18[/tex].Cost of $0.08 per ball, thus, [tex]a = 0.08[/tex]

Thus:

[tex]C(B) = 18 + 0.08B[/tex]

The promotion is valid if the cost is of at least 75, thus:

[tex]C(B) \geq 75[/tex]

[tex]18 + 0.08B \geq 75[/tex], given by option B.

-----------

Question 2:

The smallest number is the solution of the inequality for B, thus:

[tex]18 + 0.08B \geq 75[/tex]

[tex]0.08B \geq 57[/tex]

[tex]B \geq \frac{57}{0.08}[/tex]

[tex]B \geq 712.5[/tex]

Rounding up, she has to buy at least 713 paintballs.

A similar problem is given at https://brainly.com/question/24583430

PLZZZ HELP WILL GIVE BRAINLIEST !!!!! NEED THIS FAST PLZZZ

Answers

Answer:

8

Step-by-step explanation:

Let's denote the number of members ordered chicken a, the number of members ordered beef b.

We have:

a + b = 12 (total number of members is 12)

10a + 14b = 136 (the chicken costs 10$, the beef costs 14$)

a + b = 12 => a = 12 - b

Substitute a into second equation, we have:

10(12 - b) + 14b = 136

=> 120 - 10b + 14b = 136

=> 4b = 16

=> b = 4

=> a = 12 - b = 12 - 4 = 8

=> Number of members ordered chicken: a = 8

Find the equation of the line.

Answers

Answer:

y = 2x + 4

Step-by-step explanation:

y = mx + b

b = y-intercept = 4

m = slope = rise/run = 4/2 = 2

y = 2x + 4

18. In a recent survey, 75% of the community favored building a police substation in their neighborhood. If 10 citizens are chosen, find the probability that exactly 8 of them favor the building of the police substation.

Answers

Answer: 0.28157

Step-by-step explanation:

Given, The proportion of the community favored building a police substation in their neighborhood: p= 0.75

Number of citizens are chosen: n= 10

Let x be the binomial variable that represents the number of citizens favor the building of the police substation.

Then, the probability that exactly 8 of them favor the building of the police substation will be :

[tex]P(x=8)=\ ^{10}C_8(0.75)^8(1-0.75)^2[/tex]

 [Using binomial probability function [tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]]

[tex]=\dfrac{10!}{8!2!}(0.100113)(0.0625)\\\\=0.2815678125\approx0.28157[/tex]

Hence, the probability that exactly 8 of them favor the building of the police substation =0.28157

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