John Glenn High School has approximately 1000 students. A survey randomly asked 20 students if they regularly buy lunch. Of those asked, 8 said yes. The table shows their answers when asked what their favorite food is and about how many times each month they buy it.



What portion of students purchased their favorite food more than four times a month. Write your answer as a simplified fraction.


b. What is the mean number of times a student bought their favorite food? Round your answer to the nearest tenth.



c. Predict how many students from John Glenn regularly buy lunch and purchase their favorite food more than four times a month. Round your answer to the nearest whole number.



d. What is the mean number of times that a student regularly buys a salad? Round to the nearest tenth.

John Glenn High School Has Approximately 1000 Students. A Survey Randomly Asked 20 Students If They Regularly

Answers

Answer 1

Answer:

Here we have the table for the 8 students that said yes.

a) Out of the 8 students, 5 purchased their favorite food more than four times a month.

The proportion will be p = 5/8, and this can not be simplified anymore because 5 is a prime number and 5 is not a factor of 8.

b) The mean time will be equal to the amount of each of the 8 purchased their favourite food divided by the total sample (8)

This is:

m = (6 + 4 + 3 + 8 +6 + 9 + 4 + 7)/8 = 5.875

c) Out of a sample of 20, 8 buy lunch regularly, this is; p1 = 8/20

The amount of students that regularly buy food will be:

p1*1000 = (8/20)*1000 = 400

And of those 400, 5/8 buy their favourite lunch more than 4 times per month:

(5/8)*400 = 250

d: The mean number of times that a student regularly buys salad.

We have 3 students that regularly buy salad (so we only do the math with those 3)

The mean is (8 + 6 + 7)/3 = 7

So for the students that regularly buy salad, the mean of times that the buy salad in a month is 7 times.


Related Questions

please help!! urgent

Answers

Answer:

D, 342 meters

Step-by-step explanation:

We can use the definition of sines to solve the problem. Remember, sine = opposite leg over the hypotenuse of the triangle.

[tex]sin(<Q)= \frac{RS}{QR} \\[/tex]

Then, we can substitute QR for 1,000 and [tex]<Q[/tex] for 20 degrees and solve like so:

[tex]sin(20) = \frac{RS}{1,000}[/tex]

[tex]RS = 1000 (sin(20))\\\ RS = 1000(0.342)\\\\RS= 342.0201[/tex]

Rounding that number, we get 342 meters. Hope this made sense!

Answer: D. 342 m

Step-by-step explanation:

The given triangle is a right angle triangle since angle S is 90°.

From the given right angle triangle,

QR represents the hypotenuse of the right angle triangle.

With m∠Q as the reference angle,

QS represents the adjacent side of the right angle triangle.

RS represents the opposite side of the right angle triangle.

To determine RS, we would apply

the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 20 = RS/1000

RS = 1000Sin20 = 1000 × 0.342

RS = 342 m

what is the area of a square if the side is 2cm

Answers

Answer:

The area of the square if the side is 2cm, It would be 4cm, because 2 times 2 is 4.  Hope this helps!

Step-by-step explanation:

You would do 2 times 2 to get 4cm.

Answer:

[tex]4cm^{2}[/tex]

Step-by-step explanation:

The formula for working out the area of a square/rectangle is Length multiplied by the width. To work this out you would simply multiply 2 by 2, which gives you 4. This is because a square would have 4 identical sides and that the formula is length multiplied by the width.

1) Multiply 2 by 2.

[tex]2*2=4cm^{2}[/tex]

Plz I need your help! Question in picture!

Answers

Answer:

This may be incorrect but $4

Step-by-step explanation:

Find the mean and the median of the data set: 9, 7, 7, 4, 18 , 8, 5, 2,

Answers

The mean and median of this date set is;
Mean: 44.25
Median: 7
Date set in order: 2,4,5,7,7,8,9,18
median is 7 and the mean is 7.28571 , range is 16 and the mode is 7

A group of adults plus one child attend a movie at Cineplex 15. Tickets cost $9 for adults and $6 for children. The total cost for the movie is $78. Write an equation to find the number of adults in the group.

Answers

9x+6=78 x being the # of adults
9x=72
x=8
8 adults

The measure of central angle RST is radians. What is the area of the shaded sector? 4Pi units squared
8Pi units squared
16Pi units squared
20Pi units squared

Answers

Answer:

"[tex]8\pi[/tex] units squared"

Step-by-step explanation:

The image of the circle is attached.

The shaded area of the circle is basically HALF of the whole circle. If we can get the area of the circle, we will halve it, to get our answer for area of shaded region.

Area of circle is given as:

[tex]A=\pi r^2[/tex]

Where

A is area

r is the radius

Looking at the pic, the radius is "4", so we substitute and find area of circle:

[tex]A=\pi r^2\\A=\pi (4)^2\\A=\pi (16)\\A=16\pi[/tex]

THe shaded area is HALF of that, so:

Area of Shaded = [tex]\frac{16\pi}{2}=8\pi[/tex] sq. units.

Answer is "[tex]8\pi[/tex] units squared"

Can someone help me with this question

Answers

There is a rule for functions:

One input(x-value) can only have one output(y-value).

If one input has more than one output, it's not a function.

(This doesn't apply to outputs, one output can have more than one input and still be a function)

Option 1: It is not a function because the inputs 9 and 10 have more than one output

Option 2: It is not a function because the input 3 has more than one output

Option 3: It is a function because each input has only one output

Option 4: It is not a function because the input 5 has more than one output

x+4y=16
5x+4y=0
need to solve systems of equations by graphing

Answers

Answer:

Step-by-step explanation:

(-4,5)

x= -4  y=5

Help! Please! I’ve got 14 Minutes left before i need to submit it!

Answers

44 boots were sold all together. To figure this out first you need to find how many of the other boots there were. 8 rugby boots and 12 hiking boots. 8 + 12 + 24 = 44.

44 boots sold in total:
24 football boots
8 rugby boots
12 hiking boots

Work:
You are given the ratio between football, rugby, and hiking sales.
For every 6 football boot sales, there are 2 rugby boot sales and 3 hiking boot sales.

You are told that 24 football boots were sold.
Look back at the ratio given. The rugby boots sold is a third of the football boots (6/3 = 2). So, there were 24/3=8 rugby boots sold here.
The number of hiking boots sold is half of the number of football boots (6/2=3). If 24 football boots were sold, there were 24/2=12 hiking boots sold.

Y/8=5 y= ? Please help me

Answers

Answer: y Y/40 should be your answer

Answer:

Y=40

Step-by-step explanation:

40/8=5

Which of these best describes π?
A>The ratio of the radius of a circle to its diameter
b>The ratio of the circumference of a circle to its diameter
c>The square root of the area of a circle
D>The radius of a circle times 3.14

Answers

Answer:

B-The ratio of the circumference of a circle to it's diameter

The solution is Option B.

The ratio of the circumference of a circle to its diameter is called π

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the radius of the circle be represented as r

So , the diameter of the circle d = 2r

Now , the circumference of the circle C = 2πr

And , ratio of the circumference of a circle to its diameter is

Substituting the values in the equation , we get

C / d = 2πr / 2r

On simplifying the equation , we get

C / d = π

Therefore , the ratio of circumference to diameter is π

Hence , the equation is solved

To learn more about circle click :

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What is the approximate difference in tenths between
10 and
15?

Answers

sqrt 10 = 3.16

sqrt 15 = 3.87

So the difference would be 0.7

Answer:

0.7

Step-by-step explanation:

Write the equation of a line in slope-intercept form that goes through the points (4, -2) and (-4, -4).
A. y = 4x - 3
B. y = 4x - 2
C. y = 1/4x - 3
D. y = 1/4x - 2

Answers

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 2) and (x₂, y₂ ) = (- 4, - 4)

m = [tex]\frac{-4+2}{-4-4}[/tex] = [tex]\frac{-2}{-8}[/tex] = [tex]\frac{1}{4}[/tex] , thus

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (- 4, - 4), then

- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3

y = [tex]\frac{1}{4}[/tex] x - 3 → C

A Furniture Company currently produces5000600 chairs per month if production increases 7% find the increase in the new number of chairs produce each month

Answers

Answer:

350042 chairs

Step-by-step explanation:

Given: Number of chairs produced by a furniture company each month = [tex]5000600[/tex]

Percentage increase in chairs = [tex]7\%[/tex]

To find: an increase in the new number of chairs produce each month

Solution:

As 5000600 chairs are produced by a furniture company each month percentage increase in chairs is [tex]7\%[/tex]

So, increase in the new number of chairs produce each month = [tex]7\% \,\, of \,\, 5000600=\frac{7}{100} (5000600)=350042[/tex]

Jason is entering a weight lifting contest. Gurrently, his maximum bench press weight is 105 pounds. If he increases the weight by 7 pounds each week, What is the maximum weight he be able to bench press after 13 weeks?

Answers

Answer:

196 lbs is the maximum weight.

Step-by-step explanation:

7 × 13 = 91 lbs (this is the amount he added by the 13th week)

91 + 105 = 196 lbs (this is the amount he added and the amount he had. giving us the finished product.)

Calculate Jason's maximum bench press weight after 13 weeks with a weekly increase of 7 pounds. Jason will be able to bench press a maximum weight of 196 pounds.

Jason's maximum bench press weight: 105 pounds

Weekly increase: 7 pounds

Number of weeks: 13

To calculate the maximum weight after 13 weeks:

First week: 105 + 7 = 112 pounds

Second week: 112 + 7 = 119 pounds

Continue this pattern for 13 weeks.

Result: After 13 weeks, Jason will be able to bench press a maximum weight of 196 pounds.

Lita has a coin with heads on one side and tails on the other side. She is going to flip it in the air three times. What is the probability of the coin landing tails up on the first flip and heads up twice on the last two flips? P(Tails, then heads, then heads) Write as a simplified fraction.

Answers

Answer:

The probability is 1/8

Step-by-step explanation:

In this question, we are tasked with calculating that if a coin is flipped three times, we have the outcome in the question; THH

Now before we go on to calculate this probability, we need to understand some technicalities. Flipping a coin can only result into two outcomes as there are only two sides of a coin. These are the head and the tail. What this means is that if a coin is flipped, we should only expect landing on the head and on the tail.

Now these opposite sides have equal probability. This means the probability of landing on the head = probability of landing on the tail. These probabilities are equal as they are the only two options we have. Hence, the probabilities are 1/2 each

Hence, P(H) = P(T) = 1/2

Now, we proceed to calculating the probability of HTT

this mathematically means P(H) * P(T) * P(T) = 1/2 * 1/2 * 1/2 = 1/8

Answer:

1/8

Step-by-step explanation:

A teen magazine began its circulation of 500,000 in its first year. Since then, the circulation has increased an average of 33,388 per year. Suppose that the magazine began in 1944, and the trend continues. In what year will the circulation reach 3,000,000? Suppose that the magazine began in 2000, and the trend continues. What is the circulation in 2006? Show work. PLEASE HELP! NOBODY IS ANSWERING MY QUESTIONS!


Answers

Answer:

Step-by-step explanation:

First subtract 3000000 and 50000, which equals 2500000.

Then divide 2500000 and 33388, in order to find the number of years, which equals: 74.877201.

Add 74.877201 to 1944, to find out what year the circulation will reach 3 million, the answer is 2018.877. Round up to the nearest year, so 2019.

In order to find the circulation in 2006, first subtract 2006 and 1944, which equals 62 years, then multiply 62 years by 33388 , which equals 2070056. Add 500000 to 2070056. The answer is 2570056.

PLZ HELP SOS!!!!!!!!

solve for x
thank you!!!!!!!!!!

Answers

Answer:

23. x = 11.1 // 24. x = 21.4

Step-by-step explanation:

23.

Observe which sides are known and needed. 15 is the hypotenuse and x is the adjacent side. The trigonometric function that connects both the hypotenuse and the adjacent side is cosine. Using the degree, set up the equation as so: cos(42) = x/15. (Because cosine is adjacent over hypotenuse, x is over 15). Isolate x to solve for it by multiplying both sides by 15. cos(42) * 15 is 11.1

24.

Observe which sides are known and needed. x is the hypotenuse and 11 is the opposite side. The trigonometric function that connects both the hypotenuse and the opposite side is sine. Using the degree, set up the equation as so: sin(31) = 11/x. (Because sine is opposite over hypotenuse, 11 is over x). Isolate x to solve for it by multiplying both sides by x and then dividing both sides by sin(31). 11 divided by sin(31) is 21.4

. Lola sells jewelry. She sold 6 necklaces.She sells each necklace for $9.She spent $14 on supplies to make the necklaces. Write an expression that shows the amount of money Lola earned after paying for the supplies? *

Answers

Answer:

(6 necklaces x $9 per necklace) - $14 spent on supplies = profit for Lola

or (6 x 9) - 14 = profit for Lola

The actual profit is $40.

Step-by-step explanation:

First, you need to calculate how much money Lola made from selling jewelry. She sold 6 necklaces, and each one was sold for $9, so you can calculate the total sale proceeds by multiplying 6 x $9 = $54.

However, you then have to subtract the cost of supplies that Lola had to buy to make the necklaces, in order to find out how much money Lola actually made. Therefore, subtract $14 from the calculation above.

Therefore the final expression is: (6 x 9) - 14 = profit

Make sure to take into account order of operations when solving the equation (it's important to multiply 6x9 before you subtract out the 14). The actual profit for Lola comes out to $40.

The circle below has a center H. Suppose that m FG=42. Find the following.

Answers

The measure of angle FHG = 42 degrees. This is the same as the arc length.

The measure of angle FEG = 21 degrees. This is half the value of the arc length.

The measure of angles are

[tex]m < FHG= 42\\m < FEG= 21 \\[/tex]

Central angle :

Central angle is equal to intercepted arc.

Also, inscribed angle  is equal to half of the intercepted arc.

From the given diagram ,

Central angle is angle FHG.

Given that measure of Arc FG = 42 degrees

Central angle = intercepted arc

Central angle is same as intercepted arc.

[tex]m < FHG= m (arc FG)\\m < FHG= 42[/tex]

Inscribed angle  is equal to half of the intercepted arc.

To find inscribed angle , we divide the intercepted arc by 2.

[tex]m < FEG=\frac{1}{2} (arc FG)\\m < FEG=\frac{1}{2} (42)\\m < FEG= 21[/tex]

The following angles are

[tex]m < FHG= 42\\m < FEG= 21 \\[/tex]

Learn more information about 'Angles' here

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What is the solution to (x + 8) > (2x + 10)?

Answers

The answer to this is x < -2

Answer:

C.

Step-by-step explanation:

In a survey of 20 college students, it was found that 9 were taking an English class, 3 were taking a math class, and 2 were taking both English and Math. How many students were taking a math class only? Please show work.
A) 10
B) 1
C) 13
D) 11

Answers

Answer:

1

Step-by-step explanation:

3-2=1

Answer:

The answer is B) 1.

Step-by-step explanation:

Let’s use a Venn diagram to solve this problem.

We know that 9 students are taking an English class and 3 are taking a math class. We also know that 2 students are taking both classes. Therefore, we can fill in the Venn diagram as shown above.

To find the number of students taking a math class only, we need to subtract the number of students taking both classes from the total number of students taking a math class. That is:

Math only = Total Math - Both

Math only = 3 - 2

Math only = 1

Therefore, 1 student is taking a math class only.

To know more about please go through the following link,

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Does the rule y= -3(3)x represent a linear or an exponential function?

Answers

Answer:

There's no exponent, so this is a linear function.

Step-by-step explanation:

We can simplify:

y = -3(3)x

y = -9x

Here we can see this is simply linear: there is just an x^1, and no other exponent.

no exponent, hope this helped

Find the amplitude and period of the graph y=4 sin πθ

Answers

Answer:

The amplitude is 4 and the period is 2

Step-by-step explanation:

In the equation y = A sin (B x)  

A is the amplitude, where the amplitude is the height from highest to lowest points and  divide the answer by 2The period is [tex]\frac{2\pi }{B}[/tex] , where the period is the distance from one peak to the next peak

∵ The equation is y = 4 sin(πФ)

- Compare it with form above

∴ A = 4 and B = π

∵ A is the amplitude

The amplitude is 4

∵ Period = [tex]\frac{2\pi }{B}[/tex]

∴ Period = [tex]\frac{2\pi }{\pi }[/tex]

∴ Period = 2

The period is 2

f(x)=3x-2 and g(x)=2x-4
Find the f(g(x))

Answers

Answer:

6x-14

Step-by-step explanation:

its f of g of x so insert the g function when x appears in the f function

3(2x-4) -2

6x - 12 -2

6x-14

I had 1 apple and then I ate it. How many do I have now?

Answers

0

1-1=0

So u have 1 then you take one away so it will get u 0 apples left

Answer:

0 apples in total,

Step-by-step explanation:

You ate the apple, so most would consider that you have 0 apples left.

one minus one is equal to zero in this case.

A concert last 567 hour the band performs three concerts on the weekend how long does the band perform in total on the weekend why are you answer as a mixed number

Answers

Answer:

[tex]17\dfrac{4}{7} \:hours[/tex]

Step-by-step explanation:

A concert lasts [tex]5\dfrac{6}{7}[/tex] hours.

The band performs three concerts on the weekend.

Total length of time performed by the band is given as:

Hour Per Concert X Number of Concerts

[tex]5\dfrac{6}{7} X 3\\=\dfrac{41}{7} X 3\\=\dfrac{123}{7}\\=17\dfrac{4}{7} hours[/tex]

The band performs a total of [tex]17\dfrac{4}{7} hours[/tex].

The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.83​, the probability that a car brought into the shop requires brake repair is 0.17​, and the probability that a car requires both an oil change and brake repair is 0.15. For a car brought into the​ shop, determine the probability that the car will require an oil change or brake repair.

Answers

Answer:

0.85

Step-by-step explanation:

Given two events A and B, the probability that either A or B occurs is given by:

[tex]p(A\cup B) = p(A)+p(B)-p(A\cap B)[/tex]

where

[tex]p(A)[/tex] the probability that A occurs

[tex]p(B)[/tex] is the probability that B occurs

[tex]p(A\cap B)[/tex] is the probability that both A and B occur at the  same time

In this problem, we know the following facts:

[tex]p(o) = 0.83[/tex] is the probability that the car requires an oil change

[tex]p(b)=0.17[/tex] is the probability that the car requires a brake repair

[tex]p(o\cap b) = 0.15[/tex] is the probability that the car requires both an oil change and brake repair

Therefore, the probability that either o (car requiring oil change) or b (car requiring brake repait) occur is:

[tex]p(o\cup b)=p(o)+p(b)-p(o\cap b)=0.83+0.17-0.15 = 0.85[/tex]

Help please!
Image Attached

Answers

Answer:

97.92m

Step-by-step explanation:

132.65-34.73=97.92

It should be the answer

Sorry if its wrong

Solve for x, y = 3x + 5xz

Answers

Answer: x= y /5z+3

Step-by-step explanation:

Final answer:

To solve for x in the given equation y = 3x + 5xz, rearrange the equation to isolate x by dividing (y - 5xz) by 3.

Explanation:

Solve for x: y = 3x + 5xz

Given the equation y = 3x + 5xz, we need to isolate x. To do this, we can rearrange the equation:

x = (y - 5xz) / 3

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