Rick asked a random sample of 160 students from his school what they did for lunch. The table shows the results of Rick’s survey. Work out the relative frequency of eating school lunch. Input note: give your answer as a fraction.

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 500

x = 210

p = 210/500 = 0.42

q = 1 - 0.42 = 0.58

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Therefore, the 95% confidence interval to estimate the proportion of fans who purchased concessions during the game is

0.42 ± 1.96√(0.42)(0.58)/500

= 0.42 ± 0.043

RIGHT SIDE

3: Simplification

4: Subtraction property of equality

LEFT SIDE

4: 6x -7 + 7 = 12 + 7

7: x=19/6

Hope this helped!

<!> Brainliest is appreciated! <!>

Simplification

[tex]6x-7+7=12+7[/tex],  addition property of equality

[tex]x =\frac{19}{6}[/tex]

According to the given question.

We have a equation

[tex]4x-7=-2x+12[/tex]

The following steps which are required to solve the above equation are

Step 1:

[tex]4x - 7 = -2x + 12[/tex]   (given)

Step 2:

[tex]4x - 7+ 2x = -2x + 12 + 2x[/tex]    (addition property of equality)

Step 3:

[tex]4x - 7 + 2x = -2x +12+2x\\\implies 6x-7 = 12[/tex] (simplification)

Step 4:

[tex]6x -7 + 7 = 12 +7[/tex]                 (addition property of equality)

Step 5:

[tex]\implies 6x = 19[/tex]                                  (simplification)

Step 6:

[tex]\frac{6x}{6} =\frac{19}{6}[/tex]                                      ( division property of equality)

Step 7:

[tex]x = \frac{19}{6}[/tex]                                            (simplification)

Hence, the value of x in [tex]4x-7 = -2x + 12[/tex] is [tex]\frac{19}{6}[/tex].

Find out more information about addition, subtraction, and division property of equality here:

https://brainly.com/question/13130806

#SPJ3

Answer:

all the answers are wrong

Answer:

x ≥ -1

Step-by-step explanation:

The domain is the possible input values or x values for this graph

X can be from 0 to infinity

The best choice out of the ones listed is

x ≥ -1

Answer:

c≤

Step-by-step explanation:

hypotenuse=√(a²+b²)=√(5²+6²)=√(25+36)=√61

cosθ=5/√61=5/√61× (√61/√61)=5√61/61

Answer:

[tex]6 \sqrt{61} \div 61[/tex]

is ans

Step-by-step explanation:

given, a=5 and b=6

as the refrence angle is thit

p=6 and b= 5

[tex]now \: h \: = \sqrt{p {}^{2} + b {}^{2} } [/tex]

[tex] = \sqrt{6 { }^{2} + 5 {}^{2} } [/tex]

[tex] \sqrt{61} = [/tex]

therefore h

[tex] = \sqrt{61} [/tex]

now cos thita =b/h

therefore cos thita=

[tex]6 \sqrt{61} \div 61[/tex]

...is ans..

Answer:

4

Step-by-step explanation:

The perimeter of the region is equal to the sum of the perimeter of the four semicircular arc. Since the semicircular arcs have the same measure, therefore:

Perimeter of region = 4 × Perimeter of semicircular arc.

The side of the square = diameter of the semicircle = 2/π.

The radius of semicircle = diameter/2 = [tex]\frac{2/\pi}{2} =\frac{1}{\pi}[/tex]

The perimeter of a semicircle = perimeter of a circle ÷ 2

[tex]Perimeter\ of \ semicircle = \frac{perimeter\ of\ circle}{2}=\frac{2\pi r}{2}=\frac{2\pi (\frac{1}{\pi} )}{2} =1\\ Perimeter\ of\ region = 4*Perimeter\ of \ semicircle=4*1=4\[/tex]

Answer:

The answer is given below

Step-by-step explanation:

The addition postulate for line segment states that if we have points A, C and a point B on line AC, The distance between points A and C can be given as:

AC = AB + BC

Point A is at -6, point B is at -1, point C is at +2 and point D is at point 8.

Therefore using line segment postulates:

AD = AB + BC  + CD

But AB = -1 - (-6)= -1 + 6 = 5

BC = 2- (-1) = 2 +1 = 3

CD = 8 - (+2) = 8 - 2 = 6

Also AD = 8 - (-6) = 8 + 6 = 14

To prove AD = AB + BC  + CD

AD = 5 + 3 + 6 = 14

Answer:

two-fold

Step-by-step explanation:

you can rotate it one other way for it to look the exact same, meaning there are a total of 2 ways to rotate it

Answer:

A line has two-fold rotational symmetry; A

Step-by-step explanation:

One fold when it is turned 180°

And another fold when it is turned 360°

Hope that helps!!

Answer:

2 solutions:

(-2.899, 0.899) and (6.899, -8.899)

Step-by-step explanation:

x+y=2

y=-x+2

y=1/4x²+3

Graph both equations into graphing calculator

Graph in attachment shows solutions

Answer:

Here we want to create a histogram of:

Number of houses Vs day.

First you need to create a rectangular coordinate axis.

In the x-axis you will divide the days as:

day 1, day2, day3 etc

in the y-axis you will measure the number of houses visited.

then, for the first day our height will be 12 units

for the second day, our height will be 28 units...

and so on.

Remember that for histograms you need to use columns.

Then, our histogram will look like:

Answer:

see below

Step-by-step explanation:

$11.60 for $5

1. Find the rate.

$11.60 divided by $5= $2.32

2. 1 gemstone= $2.32

Your anwser should be 1 over $2.32 or $2.32 over 1 depending on how you want it.

Answer:

D) x/11.60= 1/5

Step-by-step explanation:

Answer:

1,429

Step-by-step explanation:

You have 7 dollars profit for each CD sold. 10,000 divided by 7 is 1,428 so you must have atleast one more than that to have profit (although it would be very small)

Answer:

Step-by-step explanation:

Step 1: Create a Survey

Step 2: Administer the Survey

Step 3: Collect responses.

Step 4: Organize responses - Since the data is bivariate I'd like to see them explain that they would maybe use a frequency table to organize this data.  

Step 5: Analysis

Then he can look at how to explain the organization of their data - can we use a chart? If I am using a scatter plot, how do I find the line of best fit? How do I correlate data, etc?

The step to analyze the collected data include plotting the data on an histogram

From the question, we understand that the data has already been gathered.

The next step is to analyze the collected data.

This can be done in several ways.

One of them is as follows:

Read more about data analysis at:

https://brainly.com/question/15380707

#SPJ2

Answer:

La expresión algebraica que representa la compra de los auriculares es [tex]c = 105.6\cdot n[/tex], existe una proporcionalidad directa.

Step-by-step explanation:

Existe un proporcionalidad directa, pues el coste total de importación aumenta conforme aumenta la cantidad de auriculares a importar. Esto es:

[tex]c \propto n[/tex]

[tex]c = k\cdot n[/tex]

Donde:

[tex]n[/tex] - Cantidad de auriculares a importar, adimensional.

[tex]c[/tex] - Coste total de importación, medido en pesos.

[tex]k[/tex] - Constante de proporcionalidad, medido en pesos.

La constante de proporcionalidad es igual al coste unitario del auricular más el impuesto de arancel, es decir:

[tex]k = 1.10\cdot (\$\,96)[/tex]

[tex]k = \$\,105.6[/tex]

Entonces, la expresión algebraica que representa la compra de los auriculares es:

[tex]c = 105.6\cdot n[/tex]

Answer:

Solution,

[tex]10 {x}^{2} - 17x + 3 \\ = 10 {x}^{2} - (15 + 2) x+ 3 \\ = 10 {x}^{2} - 15x - 2x + 3 \\ = 5x(2x - 3) - 1(2x - 3) \\ = (2x - 3)(5x - 1)[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

11.11%

Step-by-step explanation:

So the question is:

$180 * (x)% = $y

Therefore $180 - $y = $160

Now:

180 - 160 = 20

Therefore; $20 is the discount

Now per cent of discount:

20/180 * 100 = 11.111111111111111111111%

therefore: per cent of discount is 11.11% (rounded to two decimal place)

Answer:

11.11 %

Step-by-step explanation:

Costing Price = Rs 180

Selling Price = Rs 160

Discount = C.P - S.P

=> 180-160

=> Rs 20

In %age:

=> [tex]\frac{20}{180} * 100[/tex]

=> 11.11 %

factors of 51 are  1, 3, 17,  51

Answer:

1 × 51 = 51

3 × 17 = 51

_________

1, 51, 3, 17 are all factors of 51!

51 is composite.

Answer:

The original price is 170

Step-by-step explanation:

Let x be the original price

x* .20 is the decrease

x - .20x = new price

.80x = new price

.8x = 136

Divide each side by .8

.8x/.8 = 136/.8

x =170

The full price is represented by 100%. If this computer was decreased by 20%, so it worth 80% now.

So, we can make a rule of three: 80% value is equals to 136, how much is 100%?

80% ------------ 136

100% ----------- x

Let's multiply "making a x":

[tex]80x = 136\cdot 100\\80x = 13.600\\x = \frac{13600}{80} \\x = 170[/tex]

Therefore, the price before the decrease was £170.

Answer:

The probability for the dependent and the independent picky eater and not picky is similar in case of dependent variable and is different in case of independent variable.

Step-by-step explanation:

Independent variable is defined as the variables that are being manipulated, changed, or altered in a specific experiment or research in order to see its effect on the dependent variable.

The dependent variable is defined as the variable that is being measured or tested in a particular experiment or research by the investigator.

In the question above, as mentioned in the image or attachment, the probability of dog being picky or non-picky eater can be both dependent and independent in the different scenarios.

Answer:

0.24

Step-by-step explanation:

Given the points (10,2.4) (15, 3.6) (17.5, 4.2)

The unit rate is the slope of the line joining any of the two points.

Using points (10,2.4)  and (15, 3.6)

[tex]Slope, m=\dfrac{3.6-2.4}{15-10} \\=\dfrac{1.2}{5} \\\\=\dfrac{6}{25}[/tex]

=0.24

Using points (10,2.4)  and (17.5, 4.2)

[tex]Slope, m=\dfrac{4.2-2.4}{17.5-10} \\=\dfrac{1.8}{7.5} \\\\=\dfrac{6}{25}\\=0.24[/tex]

Therefore, the unit rate for each point is 0.24

Answer:

-Absolute value is a measure of distance. 5 is in fact 5 units from 0 on the number line, just like +5.  Its all about distance, and there are 2 things in math that will NEVER be negative...distance/length and time.

Step-by-step explanation:

Answer:

5.

Step-by-step explanation:

The absolute value measures the distance from 0. In this case, since the number is -5, the absolute value will be 5 since -5 is 5 units away from 0.

Hope this helps!

Answer:

Undefined

Step-by-step explanation:

Since you said to find the square root of "-25" the answer is undefined because you cannot square root a negative number.

Answer:

18-5i

Step-by-step explanation:

I can't see the answer choices but all you have to do is simplify this equation.

18-√-25

What is the square root of -25?

Well first we make the -25 into 25 because we can't do anything with a negative.

So square root of 25 is 5

Now plug 5 into the equation

18-5

Then multiply i to 5 because we're not sure what the exact value of 18-√-25 is.

Hope this Helps!

Answer: in 340 million square miles there are 8.808 x 10^10 hectares

Step-by-step explanation:

Answer:

The notebooks are still hazardous because the Curies didn't use protective equipment (nor did they have it) and the close proximity of the radioactive isotopes allowed for spreading of radioactivity. Since Radium-226 was kept in bottles and drawers in the Curies' home, it was in close proximity to their items. This allowed for Radium-226 to radiate to other items. In turn, those items absorbed the radiation and become radioactive. Today, Marie Curie is buried under a lead-lined coffin and her belongings can be visited ONLY with protective gear and signing a liability form.

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation:

The area of a triangle is 1/2bh.  Thus, the area of the triangle is 30.  The area of a rectangle is lw.  Thus it is 10x here.  Thus, 10x = 30 and x = 3.

Hope it helps <3

Answer:

x = 3

Step-by-step explanation:

To find the area the area of a triangle is 1/2 b×h

that will be 1/2× 5×12 = 30

since the area of the triangle is equal to the area of the rectangle, and the area of a rectangle is l×b so l= x ; b= 10 so x × 10 = 30

= 10x= 30 divide both sides by 10 = 3

so x = 3

Answer:

From Dial it, we have plans of $16 per 2 gb.

then the ratio is (number of gb you get):price

in this case:

2:16 or we can reduce it to 1:8

this means that per each Gigabyte, you pay 8 dollars. 1:8

Ring Ring has plans of $9 per 1gb

then the ratio of gb to Dollars is 1:9

And the ratio between the prices of the companies is: 8 to 9 or 8:9

which means that in one company you get one thing for 8, while in the other company you get the same thing for 9.

Answer:

Dial it Up charges $32 for 4 gigabytes, and Ring Ring charges $36 for the same amount of data. The difference of the plan prices is $36 – $32 = $4.

Answer:

The mean temperature is O

Step-by-step explanation:

Answer:

9 metros bajo el nivel del mar

Step-by-step explanation:

Aquí, tenemos un autobús que está a 12 metros bajo el nivel del mar.

Ahora, el autobús ganó algo de altura y subió 3 metros hacia arriba Debemos entender que el autobús todavía está bajo el nivel del mar pero a un nivel más alto en relación con el fondo del mar.

Por lo tanto, la altura del autobús sería + 3 + (-12) = 3-12 = -9 Esto muestra que el autobús todavía está a 9 metros bajo el nivel del mar.

Answer:

D) 2

Step-by-step explanation:

Use the following slope formula:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (4 , 1)

(x₂ , y₂) = (1 , -5)

Plug in the corresponding numbers to the corresponding variables:

m = (-5 - 1)/(1 - 4)

Simplify. Remember to follow PEMDAS. First subtract, then divide:

m = (-5 - 1)/(1 - 4)

m = (-6)/(-3)

m = 2

D) 2 is your answer.

~

Answer:

f(2)=g(0) and f(0)=g(4)

3rd option for the second pic

Answer:

2.4.

Step-by-step explanation:

the formula of the volume of a cylinder is ; πr²h.

so, we will have to substitute with the formula.

3.14 × 6 × 6 × h = 271.4

113.04h = 271.4

divide both sides by the number next to the unknown, which is 113.04.

you will get 2.4009200........

when u round off to the nearest tenths, you will get 2.4.