Lacy enjoys running around the lake, and Paul enjoys running around the park. Lacy contends that she runs
farther around the lake than Paul runs around the park, and Paul contends the opposite.
To settle their debate, they find satellite images of the lake and the park and juxtapose them on a single
coordinate grid (shown below).
The perimeter of the lake is m
Round the final answer to the nearest meter. Do not round intermediate calculations.
The perimeter of the park is m
Round the final answer to the nearest meter. Do not round intermediate calculations.
Who should win the debate?​

Answer:

c

Step-by-step explanation:

Answer:

it's D

Step-by-step explanation:

The number never goes over 0 so there is no need to put anything above 0

Answer:

Step-by-step explanation:

n = sample size = 5

a) Let us determine the sum

[tex]\sum x_i= 100+200+300+400+490=1490[/tex]

[tex]\sum x_i^2= 100^2+200^2+300^2+400^2+490^2=540100[/tex]

[tex]\sum y_i = 237+350+419+465+507=1978[/tex]

[tex]\sum y_i^2= 237^2+350^2+419^2+465^2+507^2=827504[/tex]

[tex]\sum x_i y_i=100 \times 237 + 200\times350+300 \times 419 + 400 \times 465 + 490 \times 507=653830[/tex]

Now we can determine [tex]S_x_x, S_x_y, S_y_y[/tex]

[tex]S_x_x = \sum x_i^2-\frac{(\sum x_1)^2}{n} \\= 540100 - \frac{1490^2}{5} \\= 96080[/tex]

[tex]S_x_y = \sum x_i y_i -\frac{(\sum x_i)(\sum y_i) }{n} \\\\[/tex]

[tex]653830 - \frac{1490 \times 1978 }{5} = 64386[/tex]

[tex]S_y_y = \sum y_i^2-\frac{(\sum y_i)^2 }{n} = 82750-\frac{1978^2}{5} \\\\= 45007.2[/tex]

The estimate b of the slope β is the ratio of [tex]S_x_y[/tex] and [tex]S_x_x[/tex]

[tex]b = \frac{S_x_y}{S_x_x}[/tex]

[tex]\frac{64386}{96080} = 0.67[/tex]

The mean is the sum of all value divide by number of values

[tex]\bar x= \frac{\sum x_i}{n} \\\\= \frac{100+200+300+400+490}{5} \\\\= \frac{1490}{5} = 298[/tex]

[tex]\bar y= \frac{\sum y_i}{n} \\\\= \frac{237+350+419+465+507}{5} \\\\= \frac{1978}{5} = 395.6[/tex]

The estimate a of the intercept is

[tex]a = \bar y - b \bar x[/tex]

[tex]= 395.6 - 0.69 \times 298\\= 195.9[/tex]

General least square equation;

[tex]\bar y = \alpha + \beta x[/tex]

replace alpha by a = 3 and beta by b = 0.67 in general least equation

y = a + bx

195.9 + 0.67x

b)

Scatter plot is shown in the attached file

x is on the horizontal axis

y is n the vertical axis

The degree of freedom of regression is 1

because we use one variable s predictor variable

[tex]d_f_R = 1[/tex]

The degree of freedom of error is the sample size n decrease by 2

[tex]d_f_E =n-2= 5 - 2=3[/tex]

Total df is equal to the sum  of seperate degree of freedom dfR  and dfE

total df = 1 +3  4

[tex]SSR = \frac{(S_x_y)^2}{S_x_x} = \frac{64386^2}{96080} \\\\= 43146.9296[/tex]

Total SS =Syy= 45007.2

SSE + Total SS = SSR

= 45007.2 - 43146.9296

= 1860.2705

Answer:more people will be living in Africa than in Asia sometime around 2120

Step-by-step explanation:

Answer:

More people will be living in Africa than in Asia sometime around 2120.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

If all outcomes are listed,

{P1P2, P1B1, P1B2, P2B1, P2B2, B1B2}

then 4/6 of the outcomes have different majors.

this can be simplified to 2/3.

The probability that both students selected have different majors is 2/3

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, given that,

Four students attempt to register online.

The professor randomly selects two of the four wait list students and gives them seats in the class.

Then, the all outcomes are listed,

{P1P2, P1B1, P1B2, P2B1, P2B2, B1B2}

And, 4/6 of the outcomes have different majors

Let, A = the event of having different majors

We get, n(S)= 6

n(A)= 4

i.e. P(A)= n(A)/n(S) = 4/6 =2/3

Hence, required probability = 2/3.

To learn more on probability click:

brainly.com/question/11234923

#SPJ5

Answer: 2250 pi

Step to do:

where  is the volume of the cone,  is the radius of the base, and  is the height of the cone.

In the given problem, we know that  and . Using this, we can find the volume of a single cone:

Since the problem asks how much foam is needed to make 120 cones, we can multiply this result to get our answer:

Answer:

the angle is acute angle

Answer:

The type of angle shown is an acute angle

Step-by-step explanation:

there are 4 main types of angles. this is an acute angle as it is less than 90°.

Types of angles:

The 4 main types of angles are: acute, obtuse, right angles, reflex angles.

Acute angles- Acute angles are angles less than 90°.

Obtuse Angles-Obtuse angles are angles greater than 90° but less than 180°.

Right Angles- Right angles are angles of 90°.

Reflex Angles- Reflex angles are angles greater than 180° but less than 360°.

Answer:

100

Step-by-step explanation:

(b/2)^2

b= -20

(-20/2)^2

(-10)^2

100

Answer: 2. 121 could be the dividend and 11 will be the quotient. 3) 35 could be the dividend and -5 could be the divisor.  

4) 256 could be the dividend and -16 would be the quotient. 5) 12 could be the divisor and 144 could be the dividend. 6) 17 could be the divisor and and 9 could be the quotient.

Step-by-step explanation:

2. 121/11= 11

3. 35/-5= -7

4.256/-16 =-16

5.144/12= 12

6.153/17=9

Answer:

a. a reflection over the x-axis and then a reflection over the y-axis

Step-by-step explanation:

If you plot it on a graph (you can use Desmos), you can see the triangles and only a. a reflection over the x-axis and then a reflection over the y-axis makes sense.

Answer:

thats c

Step-by-step explanation:

Answer:

49 minutes

Step-by-step explanation:

To find the average time the machine was down per day, we need to add up the total time taken and then divide by the number of days. Since there are 5 days, we have:

[tex]\frac{50 + 30 + 100 + 25 + 40}{5}[/tex]

[tex]= \frac{245}{5}[/tex]

= 49

So, the average time per day is 49 minutes.

Hope this helped! :)

Answer:

12.8

12 1/2

12 2/5

12.09

Answer:

B

Step-by-step explanation:

i would say the answer is B, as the angles and information given heavily indicate that AB is the same as DF. As we now know this, we can rule out answers C and D. We then can rule out A, as 'both being a side of an equilateral triangle' does not prove that they are identical lines.

Answer:

the equation is

[tex]x - 4 = y[/tex]

Answer:

level of water in a reservoir each....

Step-by-step explanation:

The scatter plot

A scatter plot is like a scatter chart or graph that uses the dots for representing the values of two different numeric variables. The horizontal value indicates the individual point data. Thus is used for observing the realtisohips between the variables.

This the answer is level of the water in a dam each day and date during 1 month.

Learn more about the which type of data.

brainly.com/question/22485501.

Answer:

Step-by-step explanation:

The numbers in the first column are an arithmetic sequence with a common difference of 2. The next few numbers will be 6, 8, 10, ...

The numbers in the second column are an arithmetic sequence with a common difference of 3. The next few numbers will be 9, 12, 15, ...

The numbers in the third column are an arithmetic sequence with a common difference of 5. The next few numbers will be 15, 20, 25, ...

To use the table, Mark can extend each sequence until he has a row with 45 in the third column, or he can multiply or add rows to give a result of 45 in the third column. For example, multiplying the first row by 9 gives 18:27:45 meaning that Mark needs 18 liters of blue and 27 liters of yellow to make 45 liters of green paint.

Answer:

Any line with a slope of 1/2 would be parallel to that line.

Step-by-step explanation:

A line is parallel when the slopes are the same, causing the situation where the lines will never intercept. The line in the question has a slope of 1/2, so a parallel line must have that same slope.

Answer:

The number: 13,226

Step-by-step explanation:

1. The smallest 5-digit number possibile is: 10,000

2. The smallest 5-digit number being odd should be: 10,001

3. All factors of 6 are {1, 2, 3, 6} so that the smallest possible way to arrange these numbers would be: 11,236

4.  Now this number contains 3 prime numbers, 2 being {2 and 3}. If we were to consider another prime number, still being a factor of 6, that would be: 2. That would mean instead of the 1 being the second digit of the value 11,236 it could be 2: 12,236.

5. The digit in the thousands place (2) should be greater than the digit in the tens place (3). Let's swap these digits for now so that condition is satisfied: 13,226. 2 is the only number that has a number greater than it, besides 1, but 1 can't be a digit in the tenth place as it would make a greater 5 digit-number. Thus, provided the conditions are still satisfied, the number 13,226 is the smallest number possible.

Answer:

27

Step-by-step explanation:

The area of this parallelogram is its base times height. 6x4.5 is 27.

Hope this helps! (please mark me brainliest)

Answer:

6 if you count 1 and 12

Step-by-step explanation:

1*12

6*2

3*4

(1,12,3,4,6,2)

Answer:

x = -1

Step-by-step explanation:

When lines are parallel, they have the same slope

x = 5 means the line is a vertical line going through x=5

The new line is a vertical line

We have a point (-1,4)

It will need to go through the x point of -1 and be a vertical line ( which is in the form x=  )

x=-1

Answer:

110

Step-by-step explanation:

Answer:

137

Step-by-step explanation:

i did this on i-ready :>

Answer:

i think 5 percent but dont trust me xDDD

Step-by-step explanation:

Answer:

A. is 10/12 B. is 8/28 C. is 20/45

Step-by-step explanation:

I think

Answer:

if your question is to find the vertical height of D, ans is 5

Step-by-step explanation:

Answer:

48/5≈ 9 3/5

Step-by-step explanation:

12 is the same thing as 12/1

so your multiply fractions

4/5 times 12/1

numerator=top

denominator=bottom

so to multiply a fraction you multiply the numerator times the numerator

so in that case your multiplying 4 times 12

=48

to find the bottom half you multiply the denominator times the denominator

in that case is 5 times 1

=5

numerator/denominator

48/5

if you want to simplify it further simply divide 48/5

5 goes into 48 about 9 times

and were left with 3/5

so 9 and 3/5

pls mark me brainliest

Answer:

For 0 correct answer [tex]^4c_0p^0q^{4-0}[/tex]

For 1 correct answer [tex]^4c_1p^1q^{4-1}[/tex]

For 2 correct answer [tex]^4c_2p^0q^{4-2}[/tex]

For 3 correct answer [tex]^4c_3p^1q^{4-3}[/tex]

For 4 correct answer [tex]^4c_4p^1q^{4-4}[/tex]

Step-by-step explanation:

It is given that there are 4 questions n = 4

Number of choices is 4

So probability of getting correct answer [tex]=\frac{1}{4}[/tex]

Probability of getting incorrect answer [tex]=1-\frac{1}{4}=\frac{3}{4}[/tex]

Probability distribution is given by [tex]^nc_rp^rq^{n-r}[/tex]

Therefore probability distribution of 0 correct answer

[tex]^4c_0p^0q^{4-0}[/tex]

Therefore probability distribution of 1 correct answer

[tex]^4c_1p^1q^{4-1}[/tex]

Therefore probability distribution of 2 correct answer

[tex]^4c_2p^0q^{4-2}[/tex]

Therefore probability distribution of 3 correct answer.

[tex]^4c_3p^1q^{4-3}[/tex]

Therefore probability distribution of 4 correct answer.

[tex]^4c_4p^1q^{4-4}[/tex]

Answer:

4x+5y=-2

Step-by-step explanation:

y=-4/5x-2

5y=-4x-2

4x+5y=-2

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the dimension of the polygon is not given.

However, I'll give a general explanation of how to calculate the area of a regular polygon.

If you follow these simple steps, you'll arrive at your answer.

The area of a polygon is calculated as thus;

A = ½(nbh)

Where A represent the area

n represents the number of sides

b represents the length of the base

h represent the height of the polygon

Take for instance, the polygon is a regular pentagon.

This means n = 5.

Also assume that the base and the height are 5cm and 7cm respectively.

This means that

Area = ½ * (5 * 5 * 7)

Area = ½ * 175

Area = 87.5cm²

Hence, the area of the polygon is 87.5cm²

Answer:

  y = 12

Step-by-step explanation:

Ordinarily, in math, when we say "the difference between ..." we mean the second listed item is subtracted from the first. (In English, we often mean "the positive difference between ..." so the order doesn't matter.)

We'll assume we are only interested in the case where the difference is in the order listed.

  [tex]\dfrac{y+12}{y-4}-\dfrac{y}{y+4}=\dfrac{y+12}{y-4}\cdot\dfrac{y}{y+4}\\\\\dfrac{(y+12)(y+4)-(y-4)(y)}{y^2-16}=\dfrac{(y+12)(y)}{y^2-16}\\\\0=\dfrac{y^2-8y-48}{y^2-16}=\dfrac{(y-12)(y+4)}{(y-4)(y+4)}=\dfrac{y-12}{y-4}\qquad\text{$y\ne -4$}\\\\\boxed{y=12}[/tex]

There is one solution.

_____

Comment on the solution

If you were to "clear fractions" by multiplying the equation by (y^2-16), you would also obtain the extraneous solution y=-4. That is why we did not solve it that way.