An organization will give a prize to a local artist. The artist will be randomly chosen from among 7 painters, 4 sculptors, and 5 photographers. What is the probability that the artist choosen will be a painter or a photographer?

[tex]\left(-\dfrac{14}{19}\right)\left(-1\dfrac{5}{14}\right)\\\\\text{the product of two negative numbers is positive}\\\\\text{convert the mixed number to the improper fraction}\\\\\left(\dfrac{14}{19}\right)\left(\dfrac{14+5}{14}\right)=\dfrac{14\!\!\!\!\!\diagup^1}{19\!\!\!\!\!\diagup_1}\cdot\dfrac{19\!\!\!\!\!\diagup^1}{14\!\!\!\!\!\diagup_1}=1[/tex]

Answer:

1

Step-by-step explanation:

(-14/19)(-1 5/14)

We need to convert -1 5 /14 to an improper fraction so we can multiply

-1 5/14 = - (14*1 +5) /14  = -19/14

(-14/19) * (-19/14)

=1

Answer:

f(-2) = 4

f(0) = 6

f(5) = 11

Step-by-step explanation:

f(x)=x+6 when x = -2

Substitute x=-2

f(-2) = -2+6

f(-2) = 4

f(x)=x+6 when x = 0

Substitute x=0

f(0) = 0+6

f(0) = 6

f(x)=x+6 when x = 5

Substitute x=5

f(5) = 5+6

f(5) = 11

Answer:

The range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

Step-by-step explanation:

Hi, to solve this problem you need to calculate the total number of customers that are pleased with the service, based on the 150 people sample.

so:

(72,000 x 103 )÷150 = 49,440

The next step is to calculate the 5% margin of error of that result.

49,440 x 0.05= 2,472

Finally, to obtain the range you need to add and subtract the margin to the total number of customers that are pleased with the service.

49,440-2,472= 46,968

49,440 + 2,472=51,912

So, the range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

Answer:

y+3 = 4(x+1)

Step-by-step explanation:

Point slope form of a line is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y--3 = 4 (x--1)

y+3 = 4(x+1)

Answer:  plot slope form is y+3= 4(x+1)

                                    or

                     y = 4x+1

Step-by-step explanation:

Slope point form of equation is given by

    y-y1 = m (x-x1)

           where m is slope and (x1,y1)  is the point

here (point) is (-1,-3)  and slope = 4

so equation is

(y - (-3) )= 4 ( x -(-1))

y+3 = 4(x+1)

y+3 = 4x+4

y = 4x +1

Answer:

(3/4) cup/4 pancakes = 3 cups/x pancakes

(3/4)x = 12

x = 16

Brad can make 16 pancakes.

Brad can make 16 pancakes with 3 cups of batter, based on the ratio of 3/4 cup batter for every 4 pancakes.

To determine how many pancakes Brad can make with 3 cups of batter, when 4 pancakes require 3/4 cup of batter, we can set up a straightforward ratio and proportion calculation.

Therefore, Brad can make 16 pancakes with 3 cups of batter.

Answer:

D

Step-by-step explanation:

RQ = YZ

8 = 8

I hope I helped you.

Answer:

RQ is mm long

Step-by-step explanation:

Answer:

B. y = 4 +  6x

Step-by-step explanation:

We know that the rate of change of a straight line is equal to the slope of the line.

Now, the general form of a straight line is y = mx + b, where m is the slope and b is the y-intercept.

Also, the slope of a line joined by [tex]( x_{1},y_{1} )[/tex] and [tex]( x_{2},y_{2} )[/tex] is given by [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].

So, using these, we will find the slopes of the lines given in the options.

A. Here, we are given two points (3,3) and (4,6). Then, the slope is given by,

[tex]m_{1}=\frac{6-3}{4-3}[/tex] i.e. [tex]m_{1}=3[/tex].

B. We have the equation of line y = 4 + 6x. On comparing it with the general form, we get that the slope is 6 i.e. [tex]m_{2}=6[/tex].

C. We are given the standard form of a line. First, we convert it into the slope-intercept form ( or the general form ).

i.e. 12x + 6y = 18 → 2x + y = 3 → y = -2x + 3

Now, on comparing this equation with the general form of a line, we get that the slope is -2. i.e. [tex]m_{3}=-2[/tex].

D. Here, we are given a linear function passing through (1,-1) and (0,4). Then the slope is given by,

[tex]m_{1}=\frac{4+1}{0-1}[/tex] i.e. [tex]m_{4}=-5[/tex].

Hence, we obtain that the function y=4+6x has the greatest slope or the greatest rate of change i.e. [tex]m_{2}=6[/tex].

Answer:

the distance is 14

Step-by-step explanation:

To find the distance between 2 points, we can use the distance formula

d = sqrt( (x2-x1)^2 + (y2-y1) ^2 )

d = sqrt( (-3--3)^2 +(-9-5) ^2 )

= sqrt( (-3+3)^2 + (-14)^ 2)

= sqrt(0^2 +14^2)

= sqrt( 14^2)

= 14

Hi there! :)

Answer:

14

*The answer must have a positive sign.*

Step-by-step explanation:

[tex]x=\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]

[tex]x=\sqrt{(-3--3)^2+(-9-5)^2}[/tex]

[tex]x=\sqrt{(-3+3)^2+(-14)^2}[/tex]

[tex]x=\sqrt{(0^2+14^2)}[/tex]

[tex]x=\sqrt{14^2=14}[/tex]

Final answer is 14.

Hope this helps!

Thanks!

-Charlie

Have a nice day! :)

:D

Answer:

So if sarah feeds her fish every two days, youd divide each number by 30. So the fish would be fed 15 times and the snake 5 times. Hope you get it correct! Good Luck!

Answer: hello mate!

Sara feeds her fish every 2 days: this means that if we took the 0 in a day that she feed both animals; then the fish gets food on the day 2, on the day 4, on the day 6, etc

And the snake gets food on days 6, 12, 18, etc.

now we want to count the number of days where both animals get food on the same day. Because 6 is a multiple of 2, we can see that every day that the snake is feed, the fish also feed, this is because the minimal common multiple between 2 and 6 is 6.

then we can see that each 6 days Sarah feeds her fish and snake on the same day. Now we need to see the number of times that this event happens in 30 days; we can see this dividing 30 days by  6 days:

30/6 = 5

Then in the span of 30 days, there are 5 times where both animals get food on the same day.

Answer:

1)p/4,2,1,1.625   2)x+1,3/2,5,7.5

Step-by-step explanation:

1) p/4

1/2 divided by 4=2

4/4=1

6.5/4=1.625

2) x+1

1/2+1=3/2

4+1=5

6.5+1=7.5

6x<42

Divide 6 by both sides

x<7

All of the five statements are true expect for the second one (Points P and M are on plane B and plane S) and the fifth one (line d intersects plane A at point N).

The second statement is false point M does not lie on plane s, making the statement false. Also, line d intersects plane A at L, not n.

Answer:

Step-by-step explanation:

its a,b,d,e

Answer:

The answer is -x^4, Good Luck!

Step-by-step explanation:

(3x^4+2x^2-6) - (4x^4+2x^2-6) = -x^4

To subtract (3x^4+2x^2-6) from (4x^4+2x^2-6), subtract the corresponding terms and keep the same variable raised to the same power. For example, subtracting 3x^4 from 4x^4 gives us x^4. Therefore, the result is x^4.

To subtract (3x^4+2x^2-6) from (4x^4+2x^2-6), we need to subtract the corresponding terms. So, subtract the coefficients of like terms. For the terms with variable x raised to a power, subtract the coefficients and keep the same variable raised to the same power. For the constant term, subtract the constants.

For example, subtracting 3x^4 from 4x^4 gives us (4x^4 - 3x^4) = x^4. Subtracting 2x^2 from 2x^2 gives us (2x^2 - 2x^2) = 0. Subtracting 6 from 6 gives us (6 - 6) = 0.

Therefore, the subtraction of (3x^4+2x^2-6) from (4x^4+2x^2-6) results in x^4 + 0 + 0 or simply x^4.

https://brainly.com/question/32860813

#SPJ2

[tex] \bold{FOR \: 1st \: image }[/tex]

By straight line angles property,

▶60 + 4x +20 =180

▶80 +4x =180

▶4x = 180 -80

▶4x = 100

x = 25

So, Second angle

▶4 ×25 +20

▶100 + 20

▶120

[tex] \bold{FOR \: 2nd \: image }[/tex]

3x + x =116

4x=116

x = 29

other angle = 3 ×29

=87

[tex] \bold{FOR \: 3rd \: image }[/tex]

ANGLE CAB + ANGLE ACB = 90

2x + x + 30 =90

3x + 30 =90

3x = 90 - 30

3x= 60

x=20

So, angle CAB = 2 ×20 = 40

Answer:

50 dollars

Step-by-step explanation:

40*25%=10

40+10= 50 dollars

Add it to find the original sales price which would end up being 50 dollars! Hope this helps, have a good day. c;

Answer:

28 < x < 114

Step-by-step explanation:

Answer:

c< 7

Step-by-step explanation:

the product of c and 7 is less than 49

Product means multiply

7c< 49

Divide each side by 7

7c/7 < 49/7

c< 7

Answer:

C = 7

Step-by-step explanation:

Equation:

C * 7 = 49

The opposite of multiplication is division, so we can find the solution through division:

49 / 7

= 7

C equals 7

We can check our work through multiplication:

7 * 7 = 49

Good Luck,

- I.A. -

Answer:

$6.79

Step-by-step explanation:

We need to find the cost of a bottle of soap.  We divide the cost by the number of bottles

$9.12/6 = $1.52 per bottle

We also need to find the cost for a sponge

$5.00/4 = $1.25 per sponge

We want to find the total cost of 2 bottles of soap and 3 sponges

cost = 2 * 1.52 + 3 * 1.25

       = 3.04 + 3.75

     = 6.79

Final answer:

The total cost comes to $6.79.

Explanation:

To calculate the total cost of buying 2 bottles of liquid soap and 3 sponges, we need to first find the cost of a single bottle of soap and a single sponge. We can do this by dividing the total cost of multiple items by the number of items to get the price per item.

The cost of 6 bottles of soap is $9.12. To find the cost of 1 bottle of soap, we divide: $9.12 / 6 = $1.52 per bottle.

The cost of 4 sponges is $5.00. To find the cost of 1 sponge, we divide: $5.00 / 4 = $1.25 per sponge.

Now, we can calculate the cost of 2 bottles of soap: 2 x $1.52 = $3.04.

And the cost of 3 sponges: 3 x $1.25 = $3.75.

Finally, we add the two amounts to find the total cost: $3.04 (soap) + $3.75 (sponges) = $6.79

So, the total cost of buying 2 bottles of soap and 3 sponges is $6.79.

Answer: Use the given functions to set up and simplify (f - g)(x). You should get 3x^2 +4x+2

Answer:

The helicopter still needs to fly up sec 17.0886 at maximum speed.

Step-by-step explanation:

Answer:

Each lemon costs $1.70. Each plum costs $3.70.

Step-by-step explanation:

You have two unknowns and two statements about costs. First, define a variable for each unknown. Then, translate the statements about the costs into two equations. Then, solve the system of equations.

Let L = price of 1 lemon

Let P = price of 1 plum

Donata:

4 lemons and 4 plums for $21.60

4L + 4P = 21.6      Equation 1

Dan:

11 lemons and 6 plums for $40.90

11L + 6P = 40.9       Equation 2

Here is the system of equations.

4L + 4P = 21.6      Equation 1

11L + 6P = 40.9       Equation 2

Divide both sides of Eq. 1 by 4.

L + P = 5.4

Multiply both sides by -6.

-6L - 6P = -32.4

Add the equation above to the Eq. 2.

5L = 8.5

L = 8.5/5

L = 1.7    <-------  price of a lemon

L + P = 5.4

1.7 + P = 5.4

P = 3.7    <------   price of a plum

Each lemon costs $1.70. Each plum costs $3.70.

Answer:

Numbers are divisible by 9 if the sum of all the individual digits is evenly divisible by 9

Step-by-step explanation:

5+3+6+4 = 18

18 is divisible by 9 so therefore, those numbers are monomials of the number 9.

Monomials that are divisible by 9 are those whose numeric coefficient is divisible by 9. For example, the monomial 27x or 81y^2 are both divisible by 9 because their numeric coefficients (27 and 81, respectively) are divisible by 9.

In mathematics, a monomial is an algebraic expression consisting of one term. Monomials that are divisible by 9 are those whose numeric coefficient is divisible by 9. For example, if you have a monomial like 27x, you can check if it's divisible by 9 by dividing the numeric coefficient (27) by 9. Since 27 divided by 9 is equal to 3, you can conclude that 27x is divisible by 9. Another example would be 81y^2 where the numeric coefficient is 81. Because 81 divided by 9 equal to 9, 81y^2 is also divisible by 9. So any monomial with a numeric coefficient that is a multiple of 9 is divisible by 9.

https://brainly.com/question/9183135

#SPJ3

Answer:

3.45

Step-by-step explanation:

When you divide them you will get 3. And reminders are basically decimals. So basically .45 is the reminder

Plzzz give brainlest im almost expert just need one more and plzz thank me

Answer:

15z-5

Step-by-step explanation:

12z+3z=15z

-5=-5

Answer:

-3(-4y + 3) + 7y

distribute the -3 through the parenthesis

12y - 9 + 7y

19y - 9

Lettter A

Step-by-step explanation:

Answer: 2x+4

Subtract the equations like so

f - g = (4x+3) - (2x-1)

f - g = 4x+3 - 2x + 1 ... distribute the negative to all terms inside parenthesis

f - g = (4x-2x) + (3+1)

f - g= 2x + 4

Answer:168.25

Step-by-step explanation:

3(68−12)+0.25

=(3)(56)+0.25

=168+0.25

=168.25

Answer: 168.25 is the correct answer! :)

Step-by-step explanation: I took the test because of the first person!

Hope it helps for you too! Good luck

Answer:

I believe your answer would be 8 dollars and 75 cents. I don't know for sure.

Step-by-step explanation:

Using the provided systems of linear equations method, one bag of regular balloons costs $1.45, and one bag of sparkling balloons costs $2.10.

The subject of this question is a typical example of a system of linear equations. Here, we are given two different purchases which give us two equations. We have:

1) 6B + 5S = 19.20 ---> Eq (1) (where B stands for one bag of balloons and S stands for one bag of sparkling balloons)

2) 8B + 2S = 15.80 ---> Eq (2)

Now, to find the prices of B and S (the number of bags of balloons and bags of sparkling balloons, respectively), we can solve this system of equations in two steps: multiplying Eq (2) by 2.5 and then subtracting Eq (1) from the result. This gives:

20B + 5S = 39.5

Then subtract Eq (1) from this new equation, which yields 14B = 20.3. So, one bag of balloons (B) costs $1.45. Substituting B = 1.45 into Eq (1), we get 6(1.45) + 5S = 19.2, which simplifies to 5S = 10.5. Thus, one bag of sparkling balloons (S) costs $2.10. So, the cost per bag of regular balloons is $1.45, and the cost per bag of sparkling balloons is $2.10, and this is how you go about decorating your gym on a budget.

https://brainly.com/question/20379472

#SPJ2