What is the area of the parallelogram?

Answer:

10

Step-by-step explanation:

2(3)²-8

2(9)-9

18-8=10

Answer:

28

Step-by-step explanation:

Answer:

The types of cookies purchased by the customers depends on where the scouts sell them.

Step-by-step explanation:

The data provided is:

Sales                                                   Type of Cookie Sold

Method                                                        

                   Thin Mints        Tagalongs          Do-si-dos         Trefoils        Samoas

    At

parents’        472                   641                    350                  223               401

workplace  

  Door

  -to-              840                  1092                   673                    511               542

  Door  

Community   683                     742                   491                     420             374

  Events

A Chi-square test for goodness of fit will be used to determine whether the types of cookies purchased by the customers depends on where the scouts sell them.

The hypothesis can be defined as:

H₀: The observed frequencies are same as the expected frequencies.

Hₐ: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]

The formula to compute the expected frequency is:

[tex]E_{i}=\frac{i^{th}\ \text{Row Total}\times i^{th}\ \text{Column Total}}{N}[/tex]

Consider the Excel output for the expected frequency values.

The Chi-square test statistic value is:

[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}=56.788[/tex]

The degrees of freedom is:

df = (r - 1)(c - 1)

   = (3 - 1)(5 - 1)

   = 2 × 4

   = 8

The p-value is:

[tex]P(\chi^{2}_{8}>56.788)<0.00001[/tex]

*Use a Chi-square table.

The p-value of the test is very small.

The null hypothesis will be rejected at 1% level of significance.

Conclusion:

There is enough evidence to support the claim that the types of cookies purchased by the customers depends on where the scouts sell them.

They are both similar but not entirely the same.

The first expression y/x means we divide y over x. We divide two values here and we are not subtracting first before division. This expression is useful for when you want to find the variation constant in the equation y = kx (for direct proportion equations).

The other expression (y2-y1)(x2-x1) is where we first subtract the y values, and do the same for the x values, before we divide. This computes the slope of the line through the two points (x1,y1) and (x2,y2). It's also useful to figure out the average rate of change (one application of slope). For problems involving time versus distance, the average rate of change is the average speed in which the object is moving.

Answer:

[tex]24[/tex]

Step-by-step explanation:

[tex] \frac{4(7 - 13)}{3 + ( - 4)} \times \frac{2 - (6 - 2)}{1} = \frac{28 - 52}{3 - 4} = \frac{ - 24}{ - 1} = 24[/tex]

Hope this helps ;) ❤❤❤

Answer:

24 (Can I have a brainlist, please?)

Step-by-step explanation:

4(7-13)/3 + (-4)2-(6-2)

First we solve the problems in the paraenthesis:

4(7-13)/3 + (-4)2-(6-2)

4(-6)/3 + -4 × 2 -(4)

Now we multiply the ones that are needed to be multiplied:

4(-6)/3 + -4 × 2 -(4)

-24/3 + -8 -(4)

-24/3 + 32

Now we divide:

-24/3 + 32

-8 + 32

And finally we solve the last:

-8 + 32

= 24

Hope that helped!

Answer:

(C) 30 inches

Step-by-step explanation:

The area of a rectangle is always it’s length times its width. Since we are given the length and width, we can multiply these two numbers to get our total area.

[tex]6\cdot5=30[/tex]

Hope this helped!

Answer:

[tex]\large\boxed{Area = 30 inches}[/tex]

[tex]\huge\underline\bold\blue{Given}[/tex]

Length = 5 inches

Breadth= 6 inches

we know that the area of rectangle = length×breadth

Area of rectangle = length × breadth

[tex]\rightarrow[/tex] Area = 5 × 6

[tex]\rightarrow[/tex]Area = 30inches

Hope it helps

Answer:

Option D : "he percent of increase of respiratory illnesses per year"

Step-by-step explanation:

Since you want to show how the respiratory illnesses increase over the last 15 years, then plot  a graph that shows such increase year by year.

Answer:

[tex]\mathbf{R(\tau) = \dfrac{A^2}{2} cos (\omega \tau)}[/tex]

Step-by-step explanation:

To find Autocorrelation function of the following periodic function

Given that:

X(t) = A sin(wt +θ)

with the period T=2π/w , A, θ, and w are constants.

The autocorrelation function  of periodic function with period  and phase θ can be expressed as:

[tex]R(\tau) = \dfrac{1}{T} \int \limits ^{T/2}_{-T/2} x(t) *x(t - \tau) \ dt[/tex]

[tex]R(\tau) = \dfrac{A^2}{T} \int \limits ^{T/2}_{-T/2} \ A sin ( \omega t + \theta)*A sin [ \omega (t- \tau ) + \theta] \ dt[/tex]

where;

[tex]sinAsin B = \dfrac{1}{2}[cos (A-B) -cos (A+B)][/tex]

Then;

[tex]R(\tau) = \dfrac{A^2}{2T} \int \limits ^{T/2}_{-T/2} \ cos ( \omega t- \omega \tau + \theta - \omega t - \theta) - cos (\omega t - \omega \tau + \theta + \omega t + \theta) \ dt[/tex]

[tex]R(\tau) = \dfrac{A^2}{2T} \int \limits ^{T/2}_{-T/2} \ cos ( - \omega \tau ) - cos (2 \omega t - \omega \tau + 2 \theta) \ dt[/tex]

[tex]R(\tau) = \dfrac{A^2}{2T} \int \limits ^{T/2}_{-T/2} \ cos ( - \omega \tau ) \ dt - \dfrac{1}{2T} \int \limits ^{T/2}_{-T/2} cos (2 \omega t - \omega \tau + 2 \theta) \ dt[/tex]

The term 2  is the cosine wave of frequency and the phase = [tex]- w \tau + 2 \theta[/tex]

if we integrate that, the second term in the expansion for R(t) = zero

As such,

[tex]R(\tau) = \dfrac{A^2}{2T} \int \limits^{T/2}_{-T/2} \ cos ( - \omega \tau ) dt[/tex]

where ;

[tex]cos (-\omega \tau )[/tex]is constant

Then :

[tex]R(\tau) = \dfrac{A^2}{2T} cos (-\omega \tau) [t]^{T/2}_{-T/2}[/tex]

[tex]R(\tau) = \dfrac{A^2}{2T} cos (-\omega \tau) \times [\dfrac{T}{2}+ \dfrac{T}{2}][/tex]

[tex]R(\tau) = \dfrac{A^2}{2T} cos (-\omega \tau) \times [\dfrac{2T}{2}][/tex]

[tex]R(\tau) = \dfrac{A^2}{2T} cos (-\omega \tau) \times T[/tex]

[tex]R(\tau) = \dfrac{A^2}{2} cos (-\omega \tau)[/tex]

since [tex]cos (-\omega \tau) = cos (\omega \tau)[/tex]

[tex]\mathbf{R(\tau) = \dfrac{A^2}{2} cos (\omega \tau)}[/tex]

Answer: $87.35

Step-by-step explanation:

Answer:

$164.65

Step-by-step explanation:

$38+$126.65=$164.65

Answer:

1) at ( 0,0) : y = x/2.   at(-3-1) : y = -1.   at(-3,3) : y = 2x +9

2) DNE ( does not exist )

Step-by-step explanation:

The general equation of tangent line

y - y1 = m( x - x1 )

attached below is the detailed solution on how i derived the answers above

Answer:

$26 + X = $57

$26 + $31 = $57

X = $31

My first time ever answering a question hope it helped =)  (And sry it took long)

Step-by-step explanation:

Answer:

30.4 minutes

Step-by-step explanation:

The tank already has 240L in it, so we need to fill 1000 - 240 = 760L of water.

Since the pump pumps 25L per minute, we can find how many minutes it takes to pump 760L.

760 / 25 = 30.4 minutes.

It will take 30.4 minutes to fill the tank completely.

Two or more expressions with an equal sign are defined as an equation.

Given that, The 1000 L tank contains 240 L of water, therefore, the free space in the tank is :

1000-240

= 760 L

The pump fills the tank at a rate of 25 L per minute.

Therefore, it can be represented as:

25 L = 1 minute

1 L = (1/25) minutes

760 L = (1/25)×760 minutes

760 L = 30.4 minutes.

Hence, it will take 30.4 minutes to fill the tank completely.

Learn more about equations here:

https://brainly.com/question/10413253

#SPJ5

Answer:

  -16/1

Step-by-step explanation:

-16 in the form a/b can be written as -16/1.

Answer: a. 1

Step-by-step explanation:

There are 4 walls in total, and each wall measures 5ft high, 8ft wide

5 × 8=40 ft² for each wall

4×40=160 ft² for 4 walls

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

stated one gallon cover 160 ft²

160 ÷ 160=1 gallon

Hope this helps!! :)

Please let me know if you have any question

Answer: f(x)=x2-4x

Step-by-step explanation:

Answer:

It will take Abbey 10 seconds to move 8.5 meters

Step-by-step explanation:

100 cm makes one meter

So 85 cm=85/100

85 cm. = 0.85 meter

So Abbey travels 0.85 meters every second

One second= 0.85 meters

Let the unknown time be x

X= 8.5 meters/0.85

X= 10 seconds

It will take Abbey 10 seconds to move 8.5 meters

Answer:

1/2

Step-by-step explanation:

its j the biggest its not that hard

Answer:

91.8°

Step-by-step explanation:

180-88.2=91.8°

Answer:

they are integers and also rational numbers

Answer: -450 since negative minus a positive makes it even more negative

Answer:

With alpha 0.95 and 8 degrees of freedom χ²= 2.73

And with alpha 0.05 and 8 degrees of freedom χ²=15.51

Step-by-step explanation:

The significance level ∝ = 1- 0.9 = 0.1

But we need the area of the middle so we divide this significance level with 2

so that we get exactly the middle area .

Dividing 0.1/2= 0.05

So we will have two values for chi square

One with  0.9 + 0.05 = 0.95 alpha and one with 0.05 alpha . This is because the chi square is right tailed.

So with alpha 0.95 and 8 degrees of freedom χ²= 2.73

And with alpha 0.05 and 8 degrees of freedom χ²=15.51

This can be shown with a graph.

Given :

A grocery store charges 1.25 $ for every 3/4 pound of chocolate purchased.

To Find :

How much will the store charge a customer who purchases 9 pounds of chocolate .

Solution :

3/4 pound store charges 1.25 $ .

Let , cost of 1 pound is x .

So ,

[tex]\dfrac{3x}{4}=1.25\\\\x=\dfrac{1.25\times 4}{3}\\\\x=1.67\ \$[/tex]

Now , cost of 9 pounds chocolate is :

[tex]C=9\times 1.67\ \$\\\\C=15.03\ \$[/tex]

Therefore , cost of 9 pounds chocolate is 15.03 $ .

Hence , this is the required solution .

Answer: 357.50

Step-by-step explanation:

Multiply 11.0 and 32.5 without the decimal points.

It should look like this: 110 × 325

After you solve this equation, count the numbers after the decimal points in 11.0 and 32.5. There is one number after the decimal point in 11.0, and one number after the decimal point in 32.5. In the number 35750, count from the last number and add a decimal point right before the 5.

Hope it helps!!

Answer:

1. 1. Because convenient sampling is adopted here data is only gotten from students that eat in the hall in a given period of time so this is a source of bias

Also one study center that is the Hall of only one school is used this is also biased and may affect the result of the study

To avoid this bias a simple random sampling where each student have an equal chance of being selected in the study should be adopted

Answer:

see explanation

Step-by-step explanation:

Under a half turn about the origin

a point (x, y ) → (- x, - y ) , thus

(3, 0 ) → (- 3, 0 )

(3, 4 ) → (- 3, - 4 )

(- 1, - 4 ) → (1, 4 )

(r, s ) → (- r, - s )

The coordinates of the image point under a half-turn about the origin(3, 0 ) is (- 3, 0 ), (3, 4 ) is (- 3, - 4 ), (- 1, - 4 )  is (1, 4 ), (r, s ) is (- r, - s ).

The mirror image of a point in coordinate geometry is the image formed with respect to the x-axis, y-axis, or origin.

A point (x, y ) has image point (- x, - y )

Thus,

The coordinates of the image point under a half-turn about the origin(3, 0 ) is (- 3, 0 )

The coordinates of the image point under a half-turn about the origin(3, 4 ) is (- 3, - 4 )

The coordinates of the image point under a half-turn about the origin(- 1, - 4 )  is (1, 4 )

The coordinates of the image point under a half-turn about the origin(r, s ) is (- r, - s )

Learn more about images;

https://brainly.com/question/25029470

Answer: 61.44

Step-by-step explanation:

To find the quotient of 9216 and 150, it means to divide.

9216/150=61.44

Answer and Step-by-step explanation: Marginal Benefit is the maximum a person is willing to pay for an additional good or service. It can be calculated as:

[tex]marginal=\frac{Change total benefit}{Change quantity}[/tex]

For each cup of coffee:

For the first cup, benefit is $8;

For the second:

[tex]marginal=\frac{14-8}{2-1}[/tex]

marginal = 6

For the third:

[tex]marginal=\frac{18-14}{3-2}[/tex]

marginal = 4

For the fourth:

[tex]marginal=\frac{20-18}{4-3}[/tex]

marginal = 2

For the fifth:

[tex]marginal=\frac{21-20}{5-4}[/tex]

marginal = 1

The cost of the coffe is $3, so comparing benefit and cost, Neal should consume 4 cups of cofee per day.

Answer:

C. 375.24 + 37.50w

Step-by-step explanation:

He already has 375.24

He adds 37.5 every week.

W = the number of weeks.

Example:

=> If he deposits for 10 weeks, then it will be

=> 375.24 + 37.5(10)

=> 375.24 + 375

=> 750.24

The correct expression to represent this problem is Option C.