An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α=α= .05.
Method 1 Method 2
Roller Coaster41434951
Type of RideScreaming Demon 52445046
Log Flume50464844
Method 1 Method 2
Roller Coaster
41
43
49
51
Type of Ride
Screaming Demon
52
44
50
46
​Log Flume
50
46
48
44

Answer:

[tex] RC = 40 [/tex]

Step-by-step explanation:

Given:

PC = 3x + 7,

RC = 5x - 15,

QC = 51 - x.

Required:

measure of RC

SOLUTION:

Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.

So therefore,

[tex] PC = RC = QC [/tex]

Let's find the value of x using:

[tex] PC = RC [/tex]

[tex] 3x + 7 = 5x - 15 [/tex] (substitution)

Collect like terms

[tex] 3x - 5x = -7 - 15 [/tex]

[tex] -2x = -22 [/tex]

Divide both sides by -2

[tex] x = \frac{-22}{-2} [/tex]

[tex] x = 11 [/tex]

Find the measure of RC

[tex] RC = 5x - 15 [/tex]

substitute x = 11 into the equation

[tex] RC = 5(11) - 15 [/tex]

[tex] RC = 55 - 15 [/tex]

[tex] RC = 40 [/tex]

Answer:

40

Step-by-step explanation:

the equation of the line is y= x-4

Step-by-step explanation:

so so the first thing that you're going to do is get y alone

-x-5=y

next you're going to find your slope which in this case is negative one.

after that in order to find the equation of a parallel line you're going to find the reciprocal of the slope.

so in this case the reciprocal is one.

next you're going to substitute in the cordinates to find the y intercept

x+b=y. (-1)+b= -5. (. b is the y intercept)

b= -4

Answer: Length = 11

              Width = 9

Step-by-step explanation:

Let x represent the unknown length.

Let x - 2 represent the unknown width.

The perimeter is equal to 2 times x + (x -2)

Equation:

2 (x + (x - 2)) = 40

x + (x - 2) = 40/2

x + x - 2 = 20

2x - 2 = 20

2x -2 + 2 = 20 + 2

The length is: 2x = 22 -> x = 22/2 -> x = 11

The width is: x - 2 = 9

Answer:

0.5

Step-by-step explanation:

5.348

5 is in ones place

5/10=0.5

Answer:

18 1/8

Step-by-step explanation:

Answer:jurrhthrhth

Step-by-step explanation:hdhdbbdfh

Answer:

69.08

Step-by-step explanation:

I hope this helped!

Answer:

x=21

Step-by-step explanation:

180-126=54

54-12=42

42/2=21

x=21

Answer:

0=0

Step-by-step explanation:

4(a + 2) + 2 = 4 - 2(-2a - 3)

4a +  8 + 2 = 4 + 4a + 6

4a + 10 = 10 + 4a

0 = 0

Answer:

1.5

Step-by-step explanation:

Cheddar Corn Caramel Corn

        10                         15

        20                         30

        30                    45

(10,15) (20,30) (30,45)

if you graphed this the unit rate would be (1,1.5)

the constant of proportionality is 1.5

Answer:

9

Step-by-step explanation:

Answer:

b = $4000

Step-by-step explanation:

Let b represent the bonus amount.

Then the bonus, b, less the three deductions, is represented by

b - 0.30b - 0.30b - 025b, and this comes to $600.  Find the value of b.

b - 0.85b = $600, or

0.15b = $600

Then b = $4000

Answer:

one question at a time please

Answer: 1,000,000,000

10⁹ cannot be written in decimal form.

Plz mark brainliest:)

Answer:

ixtjtxgixgixyixiyxyifyicjgckckhckhcjgckckhckhckhcihciyciyfiyfiyfiyfiyfiyyif

Step-by-step explanation:

ridutd6utsutsursustysysyytshfzyrsyrsyrsyrsutd

Answer:

52% = 0.52

78/0.52 =150

150 students voted

Answer:

150

Step-by-step explanation:

When you multiply a number by a percentage you have to convert the percentage to a decimal so 52% turns into 0.52. If you multiply the number of votes by 0.52 it should equal to 78. In order to find the total number of votes.  you have to go backwards and divide. So you divide 78 by 0.52 and it should give you 150.

Using a geometric sequence, it is found that the number of black squares in the first five figures of the Sierpinski Carpet is of 4681.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio r.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1r^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

The sum of the first n terms of a sequence is given by:

[tex]S_n = \frac{a_1(1 - r^n)}{1 - r}[/tex]

In this problem, the parameters are: [tex]a_1 = 1, r = 8, n = 5[/tex], hence:

[tex]S_n = \frac{1(1 - 8^5)}{1 - 8} = 4681[/tex]

The number of black squares in the first five figures of the Sierpinski Carpet is of 4681.

More can be learned about geometric sequences at https://brainly.com/question/11847927

Answer:

1, 8, 5

Step-by-step explanation:

4681, 2,396,745

Answer:

4x(x^2 + 13x + 36)

Step-by-step explanation:

Multipy through to get the original value

Answer:

d

Step-by-step explanation:

when f(x)=5......It can also be

f(x)=1/125(625x)

every whole number over one...1(625x)=625x

also 125(1)=125 therefore (625/125)x=5x

Answer:

try breaking the windows when the car is submerged so pressure can break the windows and then you can hopefully swim through the windows.

Answer:

False

Step-by-step explanation:

Decimals such as 1.2, 4.95, 2.28914 are all rational numbers.

If it doesnt end then its irrational, such as pi. but we know the exact amount of the numbers above therefore its rational. Also it can be put in fraction form which is another way to determine if rational or not.

Step-by-step explanation: the answer is x = 1/2

The value of x is 27 units.

It is required to find the value of x.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

If m∠1 equals (4x + 2) and m∠3 equals (5x − 25),

According to given question we have,

m∠1 =m∠3

(4x + 2)=(5x − 25)

compare the like terms and simplify we get,

2+25=5x-4x

27=x

Therefore, the value of x is 27 units.

Learn more about angle here:

https://brainly.com/question/13954458

#SPJ2

Answer:

f(4)=-42

Step-by-step explanation:

f(x)=-4(x+3)-14

(sub 4 for x in the equation f(x) to find f(4))

f(4)=-4×(4+3)-14

(simplify inside the bracket)

=-4×7-14

(multiply 7 and -4)

=-28-14

(simplify)

=-42

Answer: Soil loss is caused by a variety of factors, including erosion from wind and water, mechanical tilling, logging, agricultural practices, and poor water management. Erosion and sedimentation, the major effects of soil loss, are widespread and can be devastating.

Erosion

Erosion is a natural process on hill slopes. The rate of erosion is determined by several factors, including soil type, rainfall, and length and percent of slope. Generally, human-induced changes in the landscape lead to higher levels of erosion than would occur naturally. While there are many ways to minimize erosion, vegetative cover is the most effective over the long term. Eroding road.When vegetation is removed, the rate of soil erosion is greatly accelerated, often beyond sustainable levels.

Sedimentation

Eroded soil deposited downslope is referred to as sedimentation. When severe rain or wind events occur or soils are disturbed by human

The Sedimentation Control Act of 1973 requires operators to implement short- and long-term mitigation measures to reduce erosion on- and off-site. Forest landowners who wish to harvest trees are exempt from these regulations if they comply with forestry practice guidelines, which include erosion control measures and mitigation. Best management practices (BMPs) are voluntary practices that reduce sources of se

Step-by-step explanation: