For the lunch special at a high school cafeteria, students can get either salad or french fries as a side order. The following table shows the number of each side order for the lunch specials purchased on one day, classified by the grade of the student
Grade 9
Grade 10
Grade 11
Grade 12
Total
Salad
37
34
21
28
120
83
71
57
37
248
French fries
Total
120
105
78
65
368

From those who purchased the lunch special that day, one student will be selected at random. What is the probability that the student selected will be in grade 10 given that the student ordered
french fries as the side order?
A
71/368
B
105/368
C
71/245
D
245/308

Answers

Answer 1

Answer:

C 71/248

Step-by-step explanation:

College Board

Answer 2

The probability that the selected student will be be in grade 10 given that the student ordered French fries is 71/245

P(French fries n grade 10) = 71 Total who ordered French fries = 248

The conditional probability can be defines thus :

Number in grade 10 who ordered French fries = 71

Total number who ordered French fries = 245

Hence,

P(grade 10 | French fries) = 71/245

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Related Questions

NEED ANSWER ASAP!!!!!!!!
An airplane is flying at 32,000 feet when it starts it’s decent. It is
descending at a rate of 2000 feet per minute. Let x represent the minutes
of the flights descent and y represent the plane’s altitude.

a. Fill in the table.

b. Write an equation in slope-intercept form for the plane’s altitude.
c. Graph the equation from part (b).

Answers

Step-by-step explanation:

table

0 32000

1 30000

2 28000

3 26000

4 24000

question 2

y= - 2000*x+32000

graphic

Solve Each Equation PLS SHOW WORK

|8m + 7| - 5 = 60

Answers

Answer:

m = 7.25

Step-by-step explanation:

8m + 7 - 5 = 60

Evaluate like terms.

8m + 2 = 60

Isolate 8m.

8m = 60 - 2

Evaluate.

8m = 58

Find m.

m = 58 ÷ 8

m = 7.25

Answer:

Step-by-step explanation:

l8m+7l = 65

(8m+7) = 65     or    -(8m+7) = 65

8m = 65-7   or      -8m = 65 + 7

m= 58/8    or       m = 72/(-8)

m= 7. 25 or      m = -9

In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more points than team B scored. The combined scores for all three teams was 476 points. Which statement about the number of points is true? Team A scored 85 points. Team A scored 255 points. Team C scored 261 points. Team C scored 130 points.

Answers

Answer:

"Team C scored 130 points."

Step-by-step explanation:

Let x represent how many points team B scored.

Team A: 3x + 6

Team B: x

Team C: x + 45

Total: 476 points

476 = (x) + (3x + 6) + (x + 45)

476 = x + 3x + 6 + x + 45

476 = 5x + 51

425 = 5x

x = 85

Team A:

3(85) + 6

= 261 pts

Team B:

= 85 pts

Team C:

(85) + 45

= 130 points

Answer:

Team c 130

Step-by-step explanation:

Determine the value of k so that f(x)=x^3+kx^2-kx-93 is divisible by (x+3) with no remainder​

Answers

Answer:

k = 10

Step-by-step explanation:

For f(x) = x³ + kx² - kx - 93 to be divisible by (x+3) with no remainder, it means that at (x + 3) is a factor of the polynomial f(x).

Thus, it means that at x = -3, f(x) must be equal to zero.

Thus;

(-3)³ + k(-3)² - k(-3) - 93 = 0

-27 + 9k + 3k - 93 = 0

12k - 120 = 0

12k = 120

k = 120/12

k = 10

Will mark brainliest for whoever answers

Answers

Answer:

The correct answer is A.) as the diameter of a bubble increases, the volume of the bubble increases

Step-by-step explanation:

Please help how to do this problem ❤️ gets 50 points

Answers

Answer:

Step-by-step explanation:

-0.166666666666666667

If x = 9 and y = –1, evaluate the following
expression:
5/X – Y
Give your answer as a fraction in its simplest form.

Answers

first you need to input your variables.
5/9-(-1)=x
following the order of operations, you need to divide first.
5/9 is going to be the smallest fraction you can get so you move on to subtracting. knowing that subtracting a negative number acts as adding that number as a positive.
5/9+1= 1 5/9 as a mixed fraction which is the simplest form.

Polly buys 4.4 yards of fabric for $16.50. What is the cost per yard?

Answers

Answer:

1 yard is $3.75

Step-by-step explanation:

4.4 to get 1 divide by 4.4

so divide 16.50 by 4.4 to get $3.75

Answer:

1 yard is $3.75

Step-by-step explanation:

$16.50 ÷ 4.4 yards = $3.75

I hope this helps you and your assignment!

Point P( 1, –1) is rotated 180°, then translated
( − 1, − 2).What is P′′?

Answers

Answer:

P" = (-2, -1)

Step-by-step explanation:

When a point P(x, y) is rotated 180° clockwise or anticlockwise the coordinates of the new point P'(x', y') become (-x, -y). The rotated point has coordinates which are negative of the original coordinates

When a point is translated (a, b) then new coordinates become (x + a,, y + b)

Here point P is (1, -1)

Rotation by 180° ⇒ rotated point P'(-1, 1)

If we translate P' by (-1, -2) translated point

P" has coordinates x" = -1 -1 = -2 and y" = 1 -2 = -1

So coordinates of P" are (-2, -1)

A tile backsplash is being installed. The installation fee is $150.00. The title is priced at $2.75 per square foot, f. Which equation best represents the total cost, c, of the backsplash

A. c = 150f + 2.75
B. c = 2.75 - 150f
C. c = 2.75 + 150
D. c = 152.75f

Answers

Answer:

c = 2.75f + 150

Step-by-step explanation:

The installation fee is one off payment and tiles price depends on the area, so the total price for f square foot tile is:

c = 2.75f + 150

It seems to be the option C but there is a typo (missing f)

Answer:

c = 2.75f + 150

Given:

Installation fee is $150.00The title is priced at 2.75 square foot

Option C represents the answer.

Answer - c = 2.75f + 150

Help! I’m awful at graphs and stuff

Answers

Answer: for b: function one has a greater rate of change

Step-by-step explanation: sorry i don't know the first one

Answer:

a) -2 and 4, b) function 2

Step-by-step explanation:

Rate of change is the same thing as slope. For the first function, the table, we can use two of the points and the slope formula. I'll use (-1,3) and (-2,5). Remember the slope formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Plug the points in:

[tex]m=\frac{5-3}{-2-(-1)}\\m=\frac{2}{-1}\\m=-2[/tex]

(Remember that subtracting a negative = adding. I look at it like the two 'minus' signs form one plus sign, if that helps)

So the slope of function 1 is -2.

We can do the same thing with the second function. Two points that I notice on the graph are (-1,0) and (0,4). Let's use the same slope formula.

[tex]m=\frac{4-0}{0-(-1)}\\m=\frac{4}{1}\\m=4[/tex]

And the slope of function 2 is 4. That answers the first part. The second part asks about rate of change.

Function 2 has a greater rate of change, since 4>-2.

Hope this helps!

T a bake sale, bags of cookies sold for $2.00, $2.50, or $3.00, depending on the size. altogether, 106 cookies were sold, and $256 was earned for the sales. twice as many cookies were sold at the $2.00 charge than at the $3.00 charge. a. write a system of equations to represent this situation. be sure to define your variables.

Answers

71 cookies were sold at $2.00 each, whereas 35 cookies were sold at $3.00

What are simultaneous equations?

Simultaneous equations are related equations that are solved together to determine their unknown variables

Given : bags of cookies sold for $2.00, $2.50, or $3.00, depending on the size. altogether, 106 cookies were sold, and $256 was earned for the sales.

Let X be number of cookies sold at $3.00

Then  cookies sold at $2.00 would be 2X

2X+X=106

3X=106

X=106/3

X=35(cookies sold at $3.00)

cookies sold at $2.00=106-35

cookies sold at $2.00=71

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i need help with conditional statements if your first do top 2 if your second do bottom 2

Answers

Answer:

1: Converse: If GH is 3, then G is at 4

Inverse: If G is not at 4, the GH is not 3

Contrapositive: If GH is not 3, then G is not 4

2: Converse: If QR =(~) RS, then R is the midpoint of QS

Inverse: If QR does not =(~) RS, then R is not the midpoint of QS

Contrapositive: If R is not the midpoint of QS, the QR does not =(~) RS.

Step-by-step explanation:

Converse is to switch the two

Inverse is to make them both untrue, like if 1 +1 is 2, then 2+2 is 4, you could say if 1+1 is not 2, the 2+2 is not 4

Contrapositive is to switch them around and make them both untrue

Can I please have brainliest ;D

PLEASE HELP MEEEEE!!!!!

Answers

Answer:

I think it might be d

Step-by-step explanation:

The answer is D, if I’m correct :)

Determine which quadrant the point is in: (-2,-5)
Quadrant

Answers

the point (-2,-5) is in the 3rd quadrant (the one on the bottom left - the numbering is weird) bc both the x-value & y-value are negative

Pleaseee , whic graph represents the inequiality?

Answers

The answer is D.



Step by Step:
not needed.

l have x #50 note and y#100 note.There are eight note altogether and their total value is#550. how many of each note do i have​

Answers

Given the total number of notes is eight and their value total is $550, then you have 5 notes of $50 and 3 notes of $100

As per the question statement, You have [tex]x[/tex] number of $50 notes and [tex]y[/tex] number of $100 notes. Their total value of $550 and total number of notes are eight. We are supposed to calculate the value of [tex]x[/tex] & [tex]y[/tex]

This question is a classic example of how to form and solve linear equations. For solving this, we will have two equations, both in two variable x and y.

As we have total 8 notes, therefore,

[tex]x+y=8[/tex]

And their total value is 550, therefore,

[tex]x*50+y*100=550[/tex]

From 1st equation we get, [tex]y=8-x[/tex]

substituting this in another equation, we get

[tex]x*50+(8-x)(100)=550\\50x+800-100x=550\\800-50x=550\\50x=250\\x=5[/tex]

Solving for y, we get

[tex]y=8-x\\x=5\\y=8-5\\y=3[/tex]

Therefore we have 5 notes of $50 i.e., [tex]x=5[/tex] and 3 notes of $100 i.e., [tex]y=3[/tex]

Linear Equations: It is an equation which when plotted on a graph forms a straight line and we solve for an unknown number called as variable. Here we are solving for two variables hence the two equations are to be formed.

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x : y = 5:3 and y: z = 7:10 Find x: z

Answers

Answer: USE A APP CALLED AIR MATH IT HELPED ME ALOT YOU TAKE A PICTURE

Step-by-step explanation:

Can someone help me please

Answers

Answer:i would say the answer is A

Step-by-step explanation:its my personal opinion i hope it helps

The answer is A just saying

6 + 8(x - 1) = 2(3x + 4)
6 + 8x - 8 = 6x + 8
8x - 2 = 6x + 8
14x - 2 = 8
14x = 10
5
x=7
The mistake was.....
The correct answer is x=?

Answers

The mistake was is he subtracted at the end instead of dividing, the answer is 5/7

Step-by-step explanation:

6+ 8x-8 = 6x +8

-2+8x= 6x+8

-6x+8x=2+8

2x=10/2

x=5

The mistake was that u didn't change 6x in ti-6x. when u transfer numbers over the = thery change if positive to negative and if negative to positive

I hope I helped

Find the coordinates of the midpoint of a segment with the given points. 16,5 and 28,-13

Answers

The coordinates of the midpoint are 22,-4.

What is a midpoint?

A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.

Given that the coordinates of the midpoint of a segment with the given points. 16,5 and 28,-13.

The midpoint will be calculated as:-

M = ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2 ,

M = ( 16  + 28 ) / 2 , ( 5 - 13  ) / 2 ,

M = ( 44 ) / 2 , ( -8 ) / 2 ,

M = 22 , -4

Therefore, the coordinates of the midpoint are 22,-4.

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find the quotient. Problem is below

Answers

Answer:

26/9

Step-by-step explanation:

whenever you divide fractions, they turn into a multiplication problem and use the second fraction's reciprocal. so it would look something like this:

13/2 * 4/9

just do straight multiplication

numerators: 13*4 = 52

denominators: 2*9 = 18

52/18 = 26/9

please help will give brainlest

Answers

Answer: ) (0,0), (0,2), (2,0), (4,2); Maximum value of 10

Hope this helps :)

The graph of y = (x − 4)^2 − 49 has an x-intercept at (a, 0) where a > 0. What is a?

Answers

Based on the calculations using the given x-intercept of this graph, the value of a is equal to 11.

What is a linear function?

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0). Similarly, the x-intercept refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).

Given that the x-intercept is at (a, 0), we would simply substitute the given points as follows:

y = (x − 4)^2 − 49

0 = (a − 4)^2 − 49

(a − 4)^2 = 49

Taking the square of both sides, we have:

a - 4 = √49

a - 4 = 7

a = 7 + 4

a = 11.

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Write the function whose graph is the graph of y=x​, but is translated 5 units to the left.

Answers

Answer:

vsgysshsbsjjsdjususushdggdhwhs

Draw a triangle with vertices (2,3), (3,5), and (5,3). Then translate 4 units left. Graph the translated figure and provide the translated coordinates.​

Answers

(6,3)(7,5)(8,3)

(X,Y)
left/right = X
up/down = Y

Sheila bought several bags of balloons and boxes of candles. The candles cost $15 per bix, and the balloons cowt $8 per bag. She bought a total of 17 bags and boxes and paid a total kf $192. How manh bags of balloons did sheila buy?

Answers

Answer:

balloons= 9

candles= 8

Step-by-step explanation:

let the number of balloons be x

and candles be y

So

15x+8y=192----------1

x+y=17--------------2

from 2, x= 17-y

put x= 17-y in 1

15( 17-y)+8y=192

255-15y+8y=192

solve for y

-7y=192-255

-7y=-63

x=63/7

x=9

put x= 9 in 1

9+y=17

y= 17-9

y=8.

I answered it but i dont see the right answer tell what you think

Answers

Answer:

The answer you selected, E, A, D, C, B, is correct

Step-by-step explanation:

So, to solve this, you would first need to put all of the given numbers into the same form, and in this example, I will put them all in decimal form.

Once put in decimal form, here is the value of each letter:

A: 4.35B: 4.89C: 4.60D: 4.50E: 4.20

You can now put the numbers in least to greatest order, which will get you the answer E, A, D, C, B.

Hope I helped!!! :)

20% of the people in a school hall are teachers and the rest are pupils. 75% of the pupils are boys and there are 72 more boys than girls. How many boys must leave the hall so that 20% of the people in the hall ar boys?​

Answers

Answer:36



im pretty sure when I looked it up it said

Answer:

hahahha

Step-by-step explanation:

Which is the length of the hypotenuse for a right triangle with leg a = 8 and leg b = 15 cm?

Answers

Answer:

[tex] \huge{ \boxed{ \tt{17 \: cm}}}[/tex]

Option D is the correct choice.

First , Let's know about right triangle , legs and hypotenuse :

A right triangle is a triangle with an angle of 90°.The two sides that form the right angle are called legs.The opposite side of right angle is the hypotenuse.

☥ Let's explore about The Pythagorean Theorem :

Pythagoras was one of the first mathematician to recognize the relationship between the sides of a right triangle. This special relationship forms ' The Pythagorean Theorem '.The Pythagorean theorem states that the sum of the squares of the legs of a right triangle equals the square of the length of a hypotenuse. In algebraic terms , The Pythagorean Theorem is stated as : [tex] \boxed{ \sf{ {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]

------------------------------------------------------------

Now , let's start to solve :

✑ [tex] \underline{ \underline{ \text{Given}}} : [/tex]

a = 8 cm , b = 15 cm

✑ [tex] \underline{ \underline{ \text{To\: Find}}} : [/tex]

Length of a hypotenuse ( c )

✐ [tex] \underline{ \bold{ \underline{Using \: Pythagorean \: Theorem}}} \: : [/tex]

☞ [tex] \boxed{ \bold{ \sf{ {a}^{2} + {b}^{2} = {c}^{2} }}}[/tex]

Substitute the known values :

↦ [tex] \sf{ {8}^{2} + {15}^{2} = {c}^{2}}[/tex]

↦ [tex] \sf{64 + 225 = {c}^{2} }[/tex]

↦ [tex] \sf{289 = {c}^{2} }[/tex]

↦ [tex] \sf{ {c}^{2} = 289 }[/tex]

Take the square roots of both sides :

↦ [tex] \sf{ \sqrt{ {c}^{2} } = \sqrt{289}} [/tex]

↦ [tex] \boxed{ \sf{c = 17 \: cm}}[/tex]

The length of the hypotenuse is [tex] \boxed{ \bold{ \text{17 \: cm}}}[/tex].

And we're done!!

Hope I helped!

Have a wonderful day ! ツ

~TheAnimeGirl ♡

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