The scale of a model train is 1 inch to 15 feet. One of the cars of the model train is 3.7 inches long. What is the length, in feet, of the actual train car?

The scatterplot that represents Bryson's data is the scatterplot that is downward sloping.

Correlation is a statistical measure used to measure the relationship that exists between two variables.

Negative correlation means that the two variables move in opposite directions. If one variable increases, the other variable decreases. When there is a negative correlation, the graph of the variables is downward sloping

Please find attached the graph representing the negative correlation. To learn more about negative correlation, please check: https://brainly.com/question/14436361

[tex]\textbf{a).}\\\\r^2-12r+32\\\\=r^2 -8r-4r+32\\ \\=r(r-8) -4(r-8)\\\\=(r-8)(r-4)\\\\\textbf{b).}\\\\5a^2-7a-6\\\\=5a^2-10a+3a-6\\\\=5a(a-2)+3(a-2)\\\\=(a-2)(5a+3)\\\\\textbf{c).}\\\\16g^2+40g+25\\\\=(4g)^2 +2\cdot 5\cdot 4g+5^2\\\\=(4g+5)^2\\\\=(4g+5)(4g+5)[/tex]

Answer:

64.7 when rounded up to one decimal place

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

I'm sorry if it isn't right but I tried.

Answer:

About 198 miles.

Step-by-step explanation:

The average car can drive with an MPG ratio of 36 miles per gallon. Using this and other observations. This would make this equation rather facile and result in equation 36(MPG) × 5.5(Gallons). Therefore, the result led to the remedy as 198 miles.

Answer:

8/50

Step-by-step explanation:

find the total number of 7th grade boys

put that in the numerator

I'm assuming you're trying to get the probability of picking a 7th grade boy out of all the kids in the soccer camp so 50

Answer:

-2x

Step-by-step explanation:

x-(-3)

-2x

answer will be -2x ok follow me

Answer:

y=x^2 - 8x +8:

(1.8,0) and (6.8)

y=-x^2-4x+7:

(-5.3,0) and (1.3,0)

Step-by-step explanation:

If you go to desmos graphing calculator online, you can type the equation in and click on the zeros.

I have attached the following graphs to show what I did to find them.

Answer:

the

• the population of the first germ is represented by the function a(x) = (1. 3)+9

Answer:

x=1 it is not inverse

Answer:

Step-by-step explanation:

1) Given

2) <Q is congruent to <Q by reflexive prop of congruence

3) <QBA is congruent to <QSR by alternate interior angles theorem

4) Triangle QBA is similar to triangle QSR by AA theorem

5) QA/QR=QB/QS by CPSP (corresponding parts of similar polygons are proportional)

Answer:

161° and 19°

Step-by-step explanation:

supplementary angles =180

(142+x)+(x)=180

142+2x=180

2x=180-142

2x=38

x=19

142+19=161

Answer:

Step-by-step explanation:

[tex]\sf Distance \ between \ points\sf : \ \ \ d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

Option C

Let's look up at an example

Distance:-

Answer:

t=1

Step-by-step explanation:

16-2t=5t+9

step 1 :group like term to the same side

16-9=5t+2t

step 2 : combine

7=7t

step 3: solve for t

t=7/7

t=1

length= 9.1m

area= 473.2m^2

Substitute values for length (l) and breadth (b) into the perimeter formula.

473/9.1=52

perimeter of rectangle= l+l+b+b

=52+52+9.1+9.1

P=122.2m

Answer:

15 miles

Use the Pythagoras theorem

Answer: 15

Step-by-step explanation:

Let's start by stating what we are given

The perimeter is 36

One side length is 12

And the other given side is 9

Finally we have an unknown side x

The value of all the sides added together is the perimeter.

So add all the sides

12+9+x=36

21+x=36

Subtract both sides by 21

21-21+x=36-21

x=15

The equation of the model h will be h = 6 × sin(2πt/8). Then the correct option is C.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

A buoy starts at a height of 0 in relation to sea level and then goes up.

Its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds.

Then we have

[tex]h=A \times \sin \omega t, \ \ at=0, \ \ h =0[/tex]

The maximum displacement of the buoy in either direction is 6 ft, then we have

[tex]h=6 \times \sin \omega t[/tex]

The time it takes the buoy to get from the lowest to the highest point is 4 seconds then the oscillation time period will be 8 seconds.

Then we have

[tex]\omega T = 2\pi\\\\\omega = \dfrac{2\pi}{8}[/tex]

Then the h will be given as

[tex]h =6\times \sin (\dfrac{2\pi}{8}t)[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

1. diameter=5.54m

2. radius=9.55cm

3. area=11.46feet²

Step-by-step explanation:

1. The formula of the area of a circle is: A=[tex]\pi r^{2}[/tex]

   A: area of the circle=25m²  

    [tex]\pi[/tex] : Pi≈3.14

    r: radius of the circle= unknown

   Solve the equation to find r:

   25=(3.14)r²

    r²=[tex]\frac{25}{3.14}[/tex] =7.69m²

    r= √7.69= 2.77m

   diameter d= 2 x r =2 x 2.77 =5.54m

2. The formula of the perimeter of a circle is: P=2[tex]\pi r[/tex]

   P: perimeter of the circle= 30cm

    [tex]\pi[/tex] : Pi≈3.14

   r: radius of the circle= unknown

   Solve the equation to find r:

   30=(3.14)r

   r= [tex]\frac{30}{3.14}[/tex] = 9.55cm

   radius r = 9.55cm

3. First we have to find r (radius) from  the equation of perimeter:

    P=2[tex]\pi r[/tex]

     r= [tex]\frac{P}{2\pi }[/tex] = [tex]\frac{12}{2(3.14)}[/tex] = [tex]\frac{12}{6.28}[/tex] =1.91 feet

     Substitute r in the equation of area to get the area:

     A=  [tex]\pi r^{2}[/tex] = 3.14 (1.91)² = 3.14(3.65) = 11.46 feet²

Answer:

Step-by-step explanation:

So, the total unit number of sixth graders polled is 12.

39/12=3.25

So, you'd do 8x3.25=26 students like lemonade

13 students like iced tea

Answer:

1/4, 3/6, 2/5, 2/3.........

Answer:

8.75

Add everything together

Using the normal distribution, it is found that 39.4% of restaurants have between 20 and 25 reviews.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 25, \sigma = 4[/tex].

The proportion of restaurants that have between 20 and 25 reviews is the p-value of Z when X = 25 subtracted by the p-value of Z when X = 20, hence:

X = 25:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25 - 25}{4}[/tex]

Z = 0.

Z = 0 has a p-value of 0.5.

X = 20:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20 - 25}{4}[/tex]

Z = -1.25.

Z = -1.25 has a p-value of 0.106.

0.5 - 0.105 = 0.394 = 39.4%.

Hence, 39.4% of restaurants have between 20 and 25 reviews.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

x = -4

Step-by-step explanation:

4 = 2/3x - 5/3x

4 = -3/3x

4 = -x

-4 = x

Answer:

Median is the middle of the data set. For example this data set is 4, 6, 7, 9, 10. First you take out 4 and 10. The you take out 6 and 9 to get a median of 7. But if there is an even amount of numbers like in this data set, 1, 2, 4, 5. Then you take out 1 and 5 and then find the middle point in between 2 and 4 which is 3.

Answer:

For the first picture, 57.14

For the second picture, 27.04

Answer:

9.628 cm²

Step-by-step explanation:

Let A be the area of the sector OAB

Let a be the area of the sector OCD

The shaded area = A − a

[tex]\begin{aligned}A &=\frac{1}{12} (\pi \times 7^{2}) \\&=12.828 \ldots\end{aligned}[/tex]

[tex]\begin{aligned}a & = \frac{1}{12}\left(\pi \times 3.5^{2}\right) \\&=3.2 \ldots\end{aligned}[/tex]

The shaded area ≈ 12.828 - 3.2 ≈ 9.628 cm²