The 200 students in a school band will attend awards dinner. A random survey of 25 of these students was conducted to determine how many of each meal should be prepared for the dinner. The results of the survey are shown.

• 12 students want a beef meal
• 8 students want a chicken meal
• 5 students want a pasta meal

Based on the survey results, which of these is the best prediction of the meals wanted by the 200 students?

A] there are 16 students who want a beef meal
B] there are 52 students who want either chicken meal or pasta meal
C] there are 32 more students who want a beef meal more than want a chicken meal
D] there are 24 more students who want a pasta meal than want a chicken meal

PLEASE HELP!!! AND SHOW WORK!!!

Answers

Answer 1

Step-by-step explanation:

Beef = 12 * 8 (cause 25 * 8 = 200)

Beef = 96

Chicken = 8 * 8 (cause 25 * 8 = 200)

Chicken = 64

Pasta = 5 * 8 (cause 25 * 8 = 200)

Pasta = 40

Answer- C] There are 32 more students who want beef meal more than want a chicken meal

Answer 2
Final answer:

The best prediction of the meals wanted by the 200 students can be determined based on the proportions from the random survey. Option A, which states that there are 16 students who want a beef meal, is the best prediction.

Explanation:

The best prediction of the meals wanted by the 200 students can be determined by considering the proportions from the random survey.

The number of students who want a beef meal can be estimated by finding the proportion of students who want a beef meal in the survey and multiplying it by the total number of students. In this case, the proportion is 12/25 and the estimated number of students who want a beef meal is (12/25) * 200 = 96 students.The number of students who want either a chicken meal or a pasta meal can be estimated by adding the number of students who want a chicken meal and the number of students who want a pasta meal in the survey. In this case, the estimated number of students who want either a chicken meal or a pasta meal is 8 + 5 = 13 students.The difference in the number of students who want a beef meal and the number of students who want a chicken meal can be estimated by subtracting the number of students who want a chicken meal from the number of students who want a beef meal in the survey. In this case, the estimated difference is 12 - 8 = 4 students.The difference in the number of students who want a pasta meal and the number of students who want a chicken meal can be estimated by subtracting the number of students who want a chicken meal from the number of students who want a pasta meal in the survey. In this case, the estimated difference is 5 - 8 = -3 students.

Based on the survey results, the best prediction of the meals wanted by the 200 students is

96 students who want a beef meal

as mentioned in option A.


Related Questions

Solve the following equation. Then place the correct number in the box provided. 3x + 1 + 5x = 7 +15 + 7x find X

Answers

3x + 1 + 5x = 7 + 15 + 7x
8x + 1 = 22 + 7x
x = 21

Katrina owns a 9-acre farm. Last month, she bought her neighbor’s adjoining 8-acre farm. How large is Katrina’s farm now?

Answers

Answer:

17 acres

Step-by-step explanation:

9 acres + 8 acres = 17 acres, if that wasn't what the question meant please let me know and I'll change the answer or try to help clear confusion.

How did the absent minded professor burn his ear?

Answers

He was ironing when the phone rang.

Final answer:

The absent-minded professor burned his ear due to the lens effect caused by sunlight reflecting off a concave mirror. The mirror focused the sunlight onto his ear, causing it to burn.

Explanation:

The absent-minded professor burned his ear due to the lens effect caused by sunlight reflecting off a concave mirror. When the professor held the mirror close to his ear and exposed it to sunlight, the mirror focused the sunlight onto his ear, causing it to burn.

The concave mirror has a curve that causes the light rays to converge at a specific point called the focal point. This concentrated light energy resulted in the burning sensation on the professor's ear.

This phenomenon is similar to using a magnifying glass to focus sunlight onto an object and create heat. The concave mirror acted as a magnifying glass, amplifying the intensity of the sunlight and leading to the ear burn.

Learn more about concave mirror here:

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Mrs.skinner is making treat bags. She bought a bag of 18 chocolates and a bag of 12 pens.what is the maximum number of bags she can make?

Answers

Answer:

6 bags

Step-by-step explanation:

How I got this answer was by thinking of gcf ( greatest common factor). So first you would divided 18 and 12 by 2 to get 9 and 6 then you divided those to by3 to get 3 and 2 and beacuse you can't go and into 3 equally you will multiply 2 and 3 to get 6

help and show work for #7

Answers

Answer:

If you give the diameter and the radius, as well as the circumference, I will be of more help :)

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

Complete the solution of the equation. Find the value of y when x equals 7

Answers

Answer:

y = 10

Step-by-step explanation:

2x + y = 24

2(7) + y = 24

14 + y = 24

-14        -14

y = 10

Answer:

The Answer is 10

Step-by-step explanation:

2x + y =24

2 * 7 + 10 + 14

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What is the first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2?

Answers

Final answer:

The first step in evaluating the expression is to perform the division 4 ÷ 4, following the order of operations (PEMDAS).

Explanation:

The first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2 is to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Since there are no parentheses or exponents in this expression, we start with multiplication and division from left to right.

In this case, the first operation to perform is the division: 4 ÷ 4.

After completing the division, we then proceed with addition and subtraction from left to right.

Final answer:

When evaluating an expression like 8 + 6 – 4 ÷ 4 + 2, the first step is to follow the order of operations by performing division and multiplication before addition and subtraction, resulting in a final answer of 12.

Explanation:

The first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2 is to follow the order of operations. This means performing division and multiplication before addition and subtraction.

Divide: 4 ÷ 4 = 1

Multiply: 1 × 2 = 2

Addition and Subtraction: 8 + 6 - 2 = 12

Therefore, the result of the expression 8 + 6 – 4 ÷ 4 + 2 is 12.

Min's hose can pump 21 gallons of water every hour. How many gallons of water will he fill up if he runs the hose for 2/3 of an hour?

Answers

Answer:

14

Step-by-step explanation:

21 divided by 3 =7   7 per 1/3

7x2=14

Final answer:

Min will fill up 14 gallons of water if he runs his hose, which pumps 21 gallons per hour, for 2/3 of an hour.

Explanation:

If Min's hose can pump 21 gallons of water every hour, and he runs the hose for 2/3 of an hour, you would calculate the total gallons of water filled by multiplying the rate (21 gallons/hour) by the time (2/3 hour).

To find out how much water Min fills up:

Multiply the amount of water his hose pumps per hour by the fraction of the hour he runs it.21 gallons/hour × 2/3 hour = 14 gallons.

Therefore, Min will fill up 14 gallons of water if he runs the hose for 2/3 of an hour.

Which statement BEST describes how the graph of g(x)=-3x^2 compares to the graph of f(x)=x^2?

Reminder:(Number 12 for the picture has the answers for the question)

Answers

Answers are attached in the 2 pics below. Please check!

i need help with algebra asap some help me please 8s^2 - 10st + 3t^2

Answers

[tex]8 {s}^{2} - 10st + 3 {t}^{2} \\ = 8 {s}^{2} - 4st - 6st + 3 {t}^{2} \\ = 4s(2s - t) - 3t(2s - t) \\ = (2s - t)(4s - 3t)[/tex]

Examine the two-step equation. − 7 4 + x 4 = 2 Which property of operations allows you to add the same constant term to both sides?

Answers

Answer:

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation

Step-by-step explanation:

if a−b=c,then a−b+b=c+b,or a=c+b

 

Answer:

addition property of equality

Step-by-step explanation:

Is 976-522 more or less than 400? Explain how you can tell without finding the exact difference

Answers

[tex]\bold{Hey\ there!} \\ \bold{976-522=454}\\ \boxed{\boxed{\bold{Thus, 400\ is\ \underline{LESS\ THAN}\ 976-522}}} \\ \bold{Just\ solve\ your\ particular\ equation} \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Please help me with this

Answers

Answer:

44

Step-by-step explanation:

A=a+b

2h=6+5

2·8=44

1-3 I don’t understand

Answers

Answer:

a =20.48

b = 14.34

Sin(55) = 0.8192

Step-by-step explanation:

Points to remember

Sinθ = Opposite side/Hypotenuse

Cosθ = Adjacent side/Hypotenuse

From the given figure we can see a right angled triangle.

One angle is given 35° and one side = 25

To find the value of a and b

Sin 35 = Opposite side/Hypotenuse = b/25

b = 25 * Sin 35 = 25 * 0.5735 = 14.34

Cos 35 = Adjacent side/Hypotenuse = a/25

a = 25 * Cos 35 = 25 * 0.8192 = 20.48

To find the value of sin 55

Sin(55) = opposite side/Hypotenuse =a/25 = 20.48/25 = 0.8192

Which of the following could be the equation for a parabola that opens to the left with vertex (-17,2)?

Answers

Answer:

C

Step-by-step explanation:

Just plugging in the given x or y values, you can rule out both A and B, only C and D work out logically.

-17=-3(2-2)²-17

-17=0-17

-17=-17✓

2=3(x+17)1+2

2=0+2

2=2✓

With parabolas, if you're talking in terms of y=x², it will be vertical. If talking in terms of x=y², it will be horizontal. As we're looking for something horizontal (open to the left), we need a x=y² formula. Of C and D, only C is an x=y² formula, and thus the answer.

Could someone help me plz???

Answers

The correct answer is B. approximately 250g

Could someone please explain how to do this?

Answers

The answer is D because 127° is = p

180-127=p. P=53

180-116=r. R=64

53+64+q=180

117+q=180

Subtract 117 from both sides

Q= 63

What is the value of x?
Answer options: 15, 35, 25, 30

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

Angles subtended by the same arc are equal

Therefore, x = 30 degrees.

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

The answer is 30 Degrees

..............................................

Write an expression that, when simplified is equivalent to 15x +7

Answers

Answer:

2(7.5x+3.5)

Step-by-step explanation:

I can't remember what these equations are actually called, however in order to solve this you simply multiply 7.5 by 2, and then 3.5 by 2.

If f(12) = 100(0 .50)12, which expression gives f(x)? Explain.
A . f(x) = 12^x
B . f(x) = 100^x
C . f(x) = 100(x)^12
D . f(x) = 100(12)^x

Answers

Answer:

[tex]f(x)=100(0.50)^{x}[/tex]  or [tex]f(x)=100(1/2)^{x}[/tex]

Step-by-step explanation:

we have

[tex]f(12)=100(0.50)^{12}[/tex]

we know that

f(12) is the value of the function for x=12

therefore

The function f(x) should be

[tex]f(x)=100(0.50)^{x}[/tex]  or [tex]f(x)=100(1/2)^{x}[/tex]

Answer:

D . f(x) = 100(1/2)^x

Step-by-step explanation:

If f(12) = 100(0 .50)¹²

∴ f(x) = 100(1/2)ˣ

The coordinates of the vertices of quadrilateral ABCD are A(4,1) B(1,5) C(-3,2) and D(0,-2). Prove the quadrilateral is a square.

Answers

Answer:

The quadrilateral is a SQUARE.

Step-by-step explanation:

Given

Four points

A(4,1)  

B(1,5)

C(-3,2)

D(0, -2)

The quadrilateral formed will be ABCD with sides AB, BC, CD, AD. In order to prove if a quadrilateral is a square we have to prove that all sides of the quadrilateral are equal.

We will use the two-point distance formula to calculate lengths of sides of quadrilateral.

The distance formula:

d= √((x_2- x_1)^2+(y_2- y_1)^2  )

So, for side AB

AB= √((1- 4)^2+(5- 1)^2  )

= √((-3)^2+(4)^2  )

= √(9+16)

= √25

= 5 units

For BC

BC= √((-3- 1)^2+(2- 5)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

For CD

BC= √((0-(-3))^2+(-2-2)^2  )

= √((0+3)^2+(-4)^2  )

= √(9+16)

= √25

= 5 units

For AD

AD= √((0-4)^2+(-2-1)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

As all the sides are equal

AB=BC=CD=AD

= 5 units

So the quadrilateral is a square.

2 dot.

Answer:

The quadrilateral is a SQUARE.

Step-by-step explanation:

Given

Four points

A(4,1)  

B(1,5)

C(-3,2)

D(0, -2)

The quadrilateral formed will be ABCD with sides AB, BC, CD, AD. In order to prove if a quadrilateral is a square we have to prove that all sides of the quadrilateral are equal.

We will use the two-point distance formula to calculate lengths of sides of quadrilateral.

The distance formula:

d= √((x_2- x_1)^2+(y_2- y_1)^2  )

So, for side AB

AB= √((1- 4)^2+(5- 1)^2  )

= √((-3)^2+(4)^2  )

= √(9+16)

= √25

= 5 units

For BC

BC= √((-3- 1)^2+(2- 5)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

For CD

BC= √((0-(-3))^2+(-2-2)^2  )

= √((0+3)^2+(-4)^2  )

= √(9+16)

= √25

= 5 units

For AD

AD= √((0-4)^2+(-2-1)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

As all the sides are equal

AB=BC=CD=AD

= 5 units

So the quadrilateral is a square.

2 dot.

Step-by-step explanation:

How do you express the ratio 3.5 : 2.5 in its simplest form?

Answers

Answer:

2.5×2=5

3.5×2=7

RATIO OF 2.5 AND 3.5 IS EQUAL TO 5:7

PLZZ MARK MY ANSWER BRAINIEST

Step-by-step explanation:

There are 5 marbles. There are RED, GREEN, and BLUE. The BLUE marble is 2 more than RED and GREEN combined. The RED marble is 1 less than GREEN. How many does each colored marble have?

Answers

Answer:

1/4 of a red marble

5/4 green marbles

14/4 blue marbles.

Step-by-step explanation:

Make a system of equations.

There are 5 marbles, so r + g + b = 5.

There is 2 more of blue marbles than red + green so b - 2 = r + g

There is 1 less red marble than green marbles so g = r + 1.

Then substitute.

b - 2 = r + r + 1

b = 2r + 3

r + r + 1 + 2r + 3 = 5

4r + 4 = 5

4r = 1

r = 1/4

g = 1/4 + 1

g = 5/4

1/4 + 5/4 + b = 5

6/4 + b = 20/4

b = 14/4

Plug them back into the equation and it checks out.

*Note : I don't know how this would work in real life but it's the answer.

What is the value of x?

A.31
B.41
C.29
D.60

Answers

180-59=121

121+30=151

180-151=29.

C is the answer.

Emma has 5 3/8 punds of potato salad and 2 7/8 pounds of egg salad for a picnic. How many more pounds of potato salad than egg salad does Emma have? A - 3 pounds B- 2 3/4 pounds C - 2 1/2 pounds D - 2 1/4 pounds

Answers

Answer:

The correct answer option is C. [tex]2\frac{1}{2}[/tex] pounds

Step-by-step explanation:

We are given that Emma has [tex]5\frac{3}{8}[/tex] pounds of potato salad and [tex]5\frac{3}{8}[/tex] pounds of egg salad for a picnic.

We are to find out how much more pounds Emma has of potato salad than the egg salad.

To find this, we simple need to subtract the pounds of egg salad from the pounds of potato salad.

[tex]5\frac{3}{8} - 5\frac{3}{8}[/tex] [tex]=\frac{43}{8} -\frac{23}{8} =\frac{43-23}{8} = 2\frac{1}{2}[/tex] pounds

in a bag if marbles there are 7 blue, 6 red, pick one marble out. without replacing the first marble pick another marble out. how many ways can u pick two red marbles?​

Answers

Answer:

1

Step-by-step explanation:

If you only take out 2 marbles, you have to take out red marbles both times to have 2 red marbles. There is no other option.

What is the product? (7x2y3)(3x5y8)

Answers

i don't know if this is the correct answer 3360y^2

Answer:

Product [tex](21) ( x^{7})(y^{11})[/tex].

Step-by-step explanation:

Given : [tex](7x^{2} y^{3})(3x^{5} y^{8})[/tex].

To find : product .

Solution : We have given that

[tex](7x^{2} y^{3})(3x^{5} y^{8})[/tex].

Combine like terms

[tex](7 * 3) ( x^{2}*x^{5})(y^{3}*y^{8})[/tex].

By the exponential rule : if the base of two exponent is same then power must be added . [tex]x^{a} *x^{b} = x^{a+b}[/tex].

Then

[tex](21) ( x^{2+5})(y^{3+8})[/tex].

[tex](21) ( x^{7})(y^{11})[/tex].

Therefore, Product [tex](21) ( x^{7})(y^{11})[/tex].

A robot moves at a constant speed. The distance it moves and the time it spends moving are shown in this table:

Answers

Answer:

d = 0.7*t

Step-by-step explanation:

Given data,

  Time          Distance

   10                 7

   15                10.5

   20                 14

From analysis,

1) d1/t1 = 7/10 = 0.7

2) d2/t2 = 15/20 = 0.7

3) d3/t3 = 14/20 = 0.7

It can be analysed from the figure that, at every point d/t = 0.7

Therefore, the relationship between t and d is

d = 0.7*t

or

t = d/0.7  

Answer:

d=0.7t

Step-by-step explanation:

I just did the question on khan academy.

Is 23/40 a rational or irrational number? I'm not sure how to solve this one.

Answers

Answer:

23/40 is a rational number

Step-by-step explanation:

an irrational number cannot be written as a fraction - with a finite end. An irrational number would be a repeating decimal

Final answer:

In the given question, 23/40 is a rational number.

Explanation:

A rational number is any number that can be expressed as the quotient or fraction of two integers (whole numbers), where the denominator is not zero. Rational numbers include fractions and terminating or repeating decimals, but not irrational numbers like the square root of 2.

A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero. To determine if 23/40 is a rational or irrational number, we need to check if it can be expressed as a ratio of two integers. The numbers 23 and 40 are both integers, and the denominator is not zero, so 23/40 is a rational number.

Learn more about Rational and irrational numbers here:

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HELP PLX 46 POINTS!
The diameter of the semicircle with center O, shown below, is 4 units. What is the area of the shaded region?

Answers

Answer:

Area = 2

Step-by-step explanation:

Givens

The leg and the height of the right angle triangle are both radii of the semi circle.

The diameter of the semicircle is 4

Solution

radius = diameter /2

radius = 4/2

radius = 2

Area = 1/2 * b * h

b = 2

h = 2

Area = 1/2 * 2 * 2

Area = 2

Answer:

2 units²

Step-by-step explanation:

The diameter is 4 units.

The radius is 4/2 = 2 units.

The two legs of the triangle are a measure of 2 units or just the radius length.

Area of triangle = bh × 1/2

2 × 2 × 1/2

4/2 = 2

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