To determine if the amount of money spent on alcohol increases as the semester continues, the same individuals were surveyed in August and in November. The amount that they spent on alcoholic beverages over one weekend in each of the months was compared. In this problem, we want to make inferences about:

Answer:

b=2A/h

Step-by-step explanation:

[tex]A = \frac{1}{2} bh \\ \\ \therefore \: 2 A = bh \\ \\ \therefore \: b = \frac{2 A}{h} [/tex]

Answer:

b = 2A/h

Step-by-step explanation:

To isolate b, you should first "get rid" of the 1/2. The best way to do this to multiply both sides of the equation by 2. The left side becomes 2A, while the right becomes bh (1/2 multiplied by its reciprocal, 2, becomes 1). Next, you have to move the h to the left side, and you could do so by dividing both sides by h. The left side becomes 2A/h, and the right is just b by itself, getting you b = 2A/h.

Answer:

i don't think you can compare statistics to data sets.

Step-by-step explanation:

Answer:

It can by being compared by using averages, box plots, the interquartile range and standard deviation.

You're welcome.

Answer:

y - 2 = 0

Step-by-step explanation:

find slope first:

(2-2)/(5+1) = 0/6 or 0

now use 'y=mx+b' to find the y-intercept (the 'b'):

2 = 0(5) + b

2 = b

so, in slope-intercept form, the equation is:  

y = 2

but, in standard form, the equation is:

y - 2 = 0

Answer:

the correct answer is 10

Step-by-step explanation:

Answer:

The focus is: [tex](0,2)[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{1}{8}x^2[/tex]

Required

Determine the focus

The focus of a parabola

[tex](x- h)^2 = 4p(y - k)[/tex]

is:

[tex](h,k+p)[/tex]

So, we have:

[tex]y = \frac{1}{8}x^2[/tex]

Cross multiply

[tex]8y = x^2[/tex]

Rewrite as:

[tex]x^2 = 8y[/tex]

Rewrite as:

[tex](x - 0)^2 = 8(y - 0)[/tex]

Express 8 as 4 * 2

[tex](x - 0)^2 = 4 * 2(y - 0)[/tex]

By comparison with: [tex](x- h)^2 = 4p(y - k)[/tex]

[tex]h = 0[/tex]    [tex]p =2[/tex]     [tex]k = 0[/tex]

So, the focus [tex](h,k+p)[/tex] is:

[tex](h,k+p) = (0,0+2)[/tex]

[tex](h,k+p) = (0,2)[/tex]

Answer:

sí, (yo) quiero un chocolate

Answer:

45

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 8 numbers is 41 , then

[tex]\frac{sum}{8}[/tex] = 41 ( multiply both sides by 8 )

sum of 8 numbers = 328

Given the mean of 2 numbers is 29 , then

[tex]\frac{sum}{2}[/tex] = 29 ( multiply both sides by 2 )

sum of 2 numbers = 58

The sum of the remaining 6 numbers = 328 - 58 = 270 , so

mean = [tex]\frac{270}{6}[/tex] = 45

The mean of the other 6 numbers = 45

Answer:

14.6 units

Step-by-step explanation:

AB = [tex]\sqrt{(1-3)^2+(3-5)^2}[/tex]

AB =[tex]\sqrt{8}[/tex]

BC = [tex]\sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}[/tex]

CD = [tex]\sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}[/tex]

DA = [tex]\sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}[/tex]

Primeter = [tex]\sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6[/tex]

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Explanation:

The perimeter around the circle, aka circumference, is found through this formula

C = 2*pi*r

That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.

For the outer larger semicircle, that curved distance is exactly 14pi

For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.

The total curved portions is 14pi+7pi = 21pi

Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14

This is the exact perimeter in terms of pi.

The last thing to do is replace pi with 3.14 and simplify

21pi+14 = 21*3.14+14 = 79.94

This value rounds to 80

Answer:

C

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

From the given figure,

AB=4 units & BC=3 units

By Pythagoras Theorem, [tex]AC^{2} = AB^{2} + BC^{2}[/tex]

Here, [tex]AC^{2} = 4^{2} + 3^{2}[/tex]

Thus, AC=5 units

Now, perimeter of triangle is equal to the sum of all sides.

Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units

Answer:

54,600 ways

Step-by-step explanation:

i hope you understand this

Answer:

C. 60° and 80°

Step-by-step explanation:

Sum of triangle = 180°

Therefore,

8x + 4 + 6x - 2 + 10x + 10 = 180

Add like terms

8x + 6x + 10x + 4 - 2 + 10 = 180

24x + 12 = 180

24x = 180 - 12

24x = 168

x = 168/24

x = 7

Find each measure of the angles by substitute x = 7 into each expression

8x + 4 = 8(7) + 4 = 60°

6x - 2 = 6(7) - 2 = 40°

10x + 10 = 10(7) + 10 = 80°

The answer is 60° and 80°

Answer:

I don't know the answer

Step-by-step explanation:

c.1

Answer:

7.19%

Step-by-step explanation:

let i be the effective rate

[tex](1+\frac{.07}{4})^4=(1+i)\\.071859031[/tex]

The annual effective yield will be 7.19% for the investment.

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given that Candace invests $636 in an investment that pays 7% interest compounded quarterly.

The annual effective yield will be calculated as below:-

[ ( 1 + ( 0.07 / 4 )⁴ ] = ( 1 + i)

Solve the equation:-

i = 0.0718

i = 0.0718 x 100 = 7.19%

Therefore, the annual effective yield will be 7.19% for the investment.

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Step-by-step explanation:

Math is a language

say you plant two posts that are 5ft apart and you want to get up to 60ft

right now you've covered 5ft and now have 60 - 5 = 55ft to go.

you plant the next one: 55 - 5 = 50ft to go

instead of subtracting many times and counting hiw many times we've subtracted, we can use division

60ft / 5ft = 12 posts

to verify, you can multiply 5 and 12 which is the same as adding 5 + 5 + 5 + 5 +... + 5 = 5ft x 12 Posts= 60ft in total length

There are 12 posts for 60 feet of straight line fence.

Here,

Given that,

Post are space 5 feet apart.

We have to find number of posts for 60 feet of straight line fence.

What is Division method?

This method of distributing a group of things into equal parts is termed as division.

Now,

We can division method to find number of posts for 60 feet of straight line fence.

Here, Post are space 5 feet apart.

Number of posts = [tex]\frac{60}{5} = 12[/tex]

Hence, There are 12 posts for 60 feet of straight line fence.

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Answer:

It's B, Points a and f. -5 and 5

Answer:

the answer to this is c no association.

Answer:

C

Step-by-step explanation:

The scatter plot doesn't look linear at all. Therefore, there is no association to game attendance and games won.

Step-by-step explanation:

1. Soit

T = le coût d'un ticket

5T + 1.8 = 35

T = (35-1.8)/5 = 6.64

On ne sait pas le coût d'un ticket de tramway! :(

2.

a.

1 h : 60 min

x : 18

x = 1*18/60 = 0.3, ou 0.3h

b. => 1h18m = 1.3h

3. 16 L : 4 h

a.

x L : 365*24

x = 365*24 * 16/4 = 35040 L

b.

1 m^3 = 1000 L : 5.2 euros

35040 L : y euros

y = 5.2*35040/1000 = 182.21 euros (au centième)

4.

a. Voir graphique ci-attachée.

b. On voit bien que tous les points tombent sur la droite passant par l'origine, donc la relation est linéaire, ou proportionnelle.

c. La hauteur requise pour 270L est de 100 cm, approximativement, selon la graphique.

Notez la ligne bleue horizontale.

d. L'équation de la capacité (C) versus la hauteur (h) est

C(h) = (8/3)h

Pour C=270, 270 = (8/3)h  => h=270*(3/8) = 101.25

5. et plus

Désolé, on vous conseil de soumettre une question de 4 parties ou moins.

Step-by-step explanation:

100%-3%=97%

$1500*97%=$1455

Answer:

Step-by-step explanation:

[tex]x_{1}=7 \ ; y_{1} = -4\\\\x_{2} = -8 \ ; y_{2}=5\\\\CD = \sqrt{(-8-7)^{2}+(5-[-4])^{2}}\\\\=\sqrt{(-15)^{2}+(5+4)^{2}}\\\\=\sqrt{225+(9)^{2}}\\\\=\sqrt{225+81}\\\\=\sqrt{306}\\\\=\sqrt{3*3*2*17}\\\\=3\sqrt{34}[/tex]

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}-(y_{2}-y_{1})^{2}}[/tex]

Answer:

.35

Step-by-step explanation:

35%

Percent means out of 100

35% = 35/100

Writing this as a decimal

.35

Answer:

(a)

[tex]\mu=54[/tex]    

The standard deviation is  

[tex]\sigma=6.6543[/tex]

(b)

[tex]\mu=246\\\sigma=6.6543[/tex]  

Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is  

[tex]z=-1.73[/tex]

So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is  

[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]

Step-by-step explanation:  

Let X is a random variable that shows the number of people who would drop out of the Rewards Program within four weeks. Here X has binomial distribution with parameters n = 300 and p = 0.18.

(a)  

The mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size is  

[tex]\mu=np=300\cdot 0.18=54[/tex]  

The standard deviation is  

[tex]\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]  

(b)  

Let Y is a random variable that shows the number of people in the sample who will still be in the Rewards Program after the first four weeks. Here Y has a binomial distribution with parameters n= 300 and p=0.82. So mean of Y is  

[tex]\mu=np=300\cdot 0.82=246\\\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]  

Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is

[tex]z=\frac{Y-\mu}{\sigma}=\frac{234.5-246}{6.6543}=-1.73[/tex]  

So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is  

[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]

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Explanation:

Define the events

The given probabilities are

The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.

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

We want to find the value of P(H and F), which is the same as P(F and H)

We can use the conditional probability formula

P(F given H) = P(F and H)/P(H)

P(H)*P(F given H) = P(F and H)

P(F and H) = P(H)*P(F given H)

P(F and H) = 0.60*0.80

P(F and H) = 0.48

There's a 48% chance someone orders a burger and fries.

Answer:

p = 2×h + 3

Step-by-step explanation:

for every hour in class she writes 2 pages.

so, the total number of pages written is 2 times the number of hours in class.

and she had already a starting "offset", a head start if you will, of 3 pages.

so, even if she spends 0 hours in class, she has these 3 pages no matter what.

hence the "+ 3" part.

Answer:

410 is the answer

Step-by-step explanation:

subtract the two digits to get the left most digit of the solution. then add the two digits to get remainder of solution.

ex as we know 5-3=2 and 5+3=8 in the given question

5 + 3 = 28

The answer is 410.

How?

A+B =CD

C=(A-B) , D(A+B)

5 + 3 = (5-3)(5+3) = 28

9 + 1 = (9-1)(9+1) = 810

8 + 6 = (8-6)(8+6) = 214

similarly

7 + 3 = (7-3)(7+3) = 410