Drag each tile to the correct box.
The creators of a new organic drain cleaner claim that it is more effective at reducing clogs over the long term than a general soap solution. An
Independent group recently tested the cleaner to determine whether the claims are true. Three hundred households participated and were
divided into three equal-sized groups. Half of each group was randomly chosen to use the new cleaner, and half was assigned the soap solution
The households in each group used their given method for a year. This table shows the number of households that reported a reduction in clogs
in each group
Group
Organic Drain
Cleaner
Soap
Solution
A
18
44
B
48
25
c с
36
31
Match each statement with the corresponding group.
The organic drain cleaner's claimto be more
effective than the soap solution in reducing
the development of clogs is true.
There is not enough information to validate or
invalidate the claim of the organic drain cleaner
The organic drain cleaner's claim to be more
effective than the soap solution in reducing
the development of clogs is false.

uh

one third?

idunno man

Answer:

True

Terms are separated by the signs

The bill cost is directly proportional to the calling time.

In this exercise we need to check if the cost of the phone bill (y), in US dollars, is directly proportional to calling time (x), in minutes. Then, the following model has to be fulfilled:

k = y / x

Where k is the constant of proportionality, in US dollars per minute.

The bill model is directly proportional if and only if the constant of proportionality is the same for every pair of values:

k₁ = 12 / 80

k₁ = 3 / 20

k₂ = 9 / 60

k₂ = 3 / 20

There, the bill cost is directly proportional to the calling time.

To learn more on direct proportion models: https://brainly.com/question/20400984

#SPJ1

Answer:

4 adaults

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  4 in²

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the height of the prism.

We can find the area of the base by solving for B.

  B = V/h

  B = (12 in³)/(3 in)

  B = 4 in² . . . . . . . . . . matches the first choice

Answer:

The area of this shape is 252.

Step-by-step explanation:

Cut the right piece of the shape into a triangle of 90 degrees, which makes the shape divided into 2 triangles and 1 rectangle.

9 x 13 = 117 (rectangle part)

15 x 9 = 135, 135/2 = 67.5

15 x 9 = 135, 135/2 = 67.5

67.5 + 67.5 + 117 = 252

Answer:

13.5 ft

Step-by-step explanation:

base = 18ft

To find the height, take 75% of 18

To do this, take the decimal form of 75% (which is 0.75) and multiply that by 18:

0.75 x 18 = 13.5

13.5 would be the height

Answer:

13.5?

Step-by-step explanation:

Answer:

y = x*$3.45 if   0 ≤ x < 4

y = x*$3.00 if   4 ≤ x

Step-by-step explanation:

A piecewise function is a function that behaves differently in diferent intervals of it's domain.

We know that 1lb of candy costs $3.45

But if you buy 4 lb or more, the cost of each lb is $3.00

Then if x represents the number of pounds of candy that you buy, we have the equation:

y = x*$3.45     if     0 ≤ x < 4

y = x*$3.00     if     4 ≤ x

Answer:

75.23 is the answer for 77.5-2.27

Answer:

I think u add those numbers up because it's saying figure out the volume below. it must be adding.

Step-by-step explanation:

so just separate the shape into 2 . then you will have one cube 8×8×8 and a rectangle 9×4×8 find the volume of both and then add them together

There is 13 diamonds and 4 numbers greater than 2 but less than 7. This means your probability of selecting one of these specific cards is a 17/52 chance

Answer:

x = -11

Step-by-step explanation:

−3x + 6 = 39

-3x = 33

x = -11

Step-by-step explanation:

-3x+6=39

-3x=39-6

-3x=33

x=33/-3

x=11

Answer:

5

Step-by-step explanation:

4x-x=17-2

3x=15I:3

x=5

i think thats right

Answer:

The answer is "Option b".

Step-by-step explanation:

Calculating the common Box-Cox Transformation:

[tex]\lambda \ value \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Transformed \ data \ (Y')\\\\[/tex]

  [tex]-3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-3} =\frac{1}{Y^3} \\\\ -2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-2} =\frac{1}{Y^2} \\\\ -1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-1} =\frac{1}{Y^1} \\\\ -0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\frac{1}{\sqrt{Y}} \\\\ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log(Y)^{**} \\\\[/tex]

    [tex]0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\sqrt{(Y)} \\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{1} =Y \\\\ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{2} \\\\ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{3} \\\\[/tex]

Answer:

64inches.

Step-by-step explanation:

Let x represent the length of entire rope.

Division Equation:

\frac{x}{4}  = 16

\frac{x}{4} X 4 =16x4 (Multiply each side by 4)

x=64

Answer:

y=1x-3

Step-by-step explanation:

Answer:

55 Degrees

Step-by-step explanation:

Answer:

I would try saying that it is a real number

Step-by-step explanation:

Answer:

Pi is a Real or Complex number

Answer:

8/9 (choice b)

Step-by-step explanation:

The trigonometric ratios are based on the ratios of different sides.

If you remember SOH CAH TOA =

sine (sin) opposite hypotenuse

cosine (cos) adjacent hypotenuse

tangent (tan) opposite adjacent

__________________________

This is a nuemonic for these ratios.

the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.

So cos C = adjacent side / hypotenuse side.

Since 18 is greater than 16 and 9, 18 is the hypotenuse.

the adjacent side is the side other than the opposite side and the hypotenuse which is 16

therefore cos C = 16 / 18 = 8 / 9.

Answer:

Normally in intense thunderstorm clouds. The temperature should be below 32 degrees Fahrenheit in the clouds where the hail forms, typically there is also large water droplets and strong updrafts.

Answer: The freezing temperature of the air below the cloud causes the water droplets to freeze.

Step-by-step explanation: Weather conditions must be just right in order for hail to occur. The most important factors are dark,gray clouds alongside thunder and lightning in freezing or below freezing temperatures. When thunder is strong enough to raise water droplets up into freezing temperatures,hail is formed.

Answer:

(x-1)(x+4)

Step-by-step explanation:

[tex]x^2+3x-4\\x^2-x+4x-4\\x(x-1) 4(x-1)\\(x-1)(x+4)[/tex]

Answer:

x=7.45

Step-by-step explanation:

Hey There!

For this one we are going to solve for x using trigonometry

Law of Sines to be more specific

So basically [tex]\frac{7}{sin(70)} = \frac{x}{sin(90)}[/tex]

Step on multiply each side by sin(90)

now we have

[tex]x=\frac{7*sin(90)}{sin(70)}[/tex]

7*sin90=7

[tex]\frac{7}{sin70} =7.4492944407[/tex]

Then we just round to the nearest hundredth which would make it into 7.45

Therefore x=7.45

Answer:

c. 0.71

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

The height of the candy after t seconds is given by the following equation:

[tex]h(t) = -16t^2 + 10t + 3[/tex]

After how many seconds will the ball be 2 feet in the air?

This is t for which [tex]h(t) = 2[/tex]

So

[tex]h(t) = -16t^2 + 10t + 3[/tex]

[tex]2 = -16t^2 + 10t + 3[/tex]

[tex]-16t^2 + 10t + 1 = 0[/tex]

So

[tex]a = -16, b = 10, c = 1[/tex]

[tex]\Delta = b^{2} - 4ac = 10^2 -4(-16)(1) = 164[/tex]

[tex]t_{1} = \frac{-10 + \sqrt{164}}{2*(-16)} = -0.09[/tex]

[tex]t_{2} = \frac{-10 - \sqrt{164}}{2*(-16)} = 0.71[/tex]

Since time is a positive measure, the answer is 0.71, which is option c.

Answer: 2.1 tan 37 = x/2.1 * 2.1. 2.1 tan 37 = x. 1.582463505 =x. To the nearest tenth. 1.6 =x.

Step-by-step explanation:

Answer:

r = 5 km

Step-by-step explanation:

Given that,

The population in a circular region = 1.15 million

The population density of the region = 18075 people per kilometer

We need to find the radius of the region.

We can find the area of circular region i.e.

[tex]A=\dfrac{P}{d}\\\\A=\dfrac{1.15\times 10^6}{18075 }\\A=63.6\ km^2[/tex]

We know that the area of a circular region is given by :

[tex]A=\pi r^2\\\\\pi r^2=63.6\\\\r=\sqrt{\dfrac{63.6}{\pi}} \\\\r=4.49\ km[/tex]

or

r = 5 km

So, the radius of the region is equal to 5 km.

Answer:

We expect 17.82, that is, approximately 18 people to be universal donors.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are universal donors, or they are not. The probability of a person being an universal donor is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Only about 6.6% of the American population has O-negative blood.

This means that [tex]p = 0.066[/tex]

If 270 unrelated people give blood in a certain week, how many of these people do we expect to be universal donors?

This is E(X) when [tex]n = 270[/tex]. So

[tex]E(X) = np = 270*0.066 = 17.82[/tex]

We expect 17.82, that is, approximately 18 people to be universal donors.

Answer:

Step-by-step explanation:

Remark

This is a cosine law problem.

a = 12

b = 15

C = 83

Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.

Formula

c^2 = a^2 + b^2 - 2ab*cos(C)

Solution

c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)

c^2 = 144 + 225 - 360 * cos(83)

cos(83) = 0.1219

c^2 = 144 + 225 - 360 * 0.1219

c^2 = 369 - 43.884

c^2 = 325.116

sqrt(c^2) = sqrt(325.116)

c = 18.031

To the nearest tenth, the answer is 18.0 and you must include the 0.