A researcher conducts an experiment using 10 loads of white shirts with similar stains. The loads are divided, and 5 of the loads are washed with name-brand detergent, while the other 5 are washed with store-brand detergent. Volunteers are asked to assess the cleanliness of the shirts.

What are the experimental units in this setting?

the types of detergent
the 10 loads of shirts
the volunteers who assess the stains
the machines used to wash the shirts

Answer

2/3

Step-by-step explanation:

there are only 3 kinds of candy here and since they all have a equal number they have a chance of 1/3 each but since it is starburst OR jolly its 2/3

Answer:

A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.

Step-by-step explanation:

I hope this helped you!

170 ..I think I'm correct

Answer:

48.8m

Step-by-step explanation:

Formula for square area = [tex]a^{2}[/tex] = 148.84 [tex]m^{2}[/tex]

=> a = [tex]\sqrt{148.84}[/tex] = 12.2

Formula for square perimeter = 4a = 4 x 12.2 = 48.8 m

The perimeter of the given square is 48.8 m.

The perimeter of any closed geometrical object is defined as the distance around that object. The perimeter of a square is the distance covered by its four sides.  Perimeter surrounds or outlines the shape in a two-dimensional plane.

Since all the sides of a square are equal, therefore, the perimeter of square will be 4 times its side, i.e. 4 × Side. It is measured in units, such as m, cm, in, ft, etc.

According to question,

Given area of a square = 148.84 m²

We all know that,

Area of a square = (Side)²

⇒ (Side)² = 148.84 m²

⇒ Side = √(148.84 m²)

⇒ Side = 12.2 m

Therefore, perimeter of the given square = 4 × Side

                                                                     = 4 × 12.2

                                                                     = 48.8 m

Hence the perimeter of a square = 48.8

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Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

Answer:

23.51m is the height

Step-by-step explanation:

the kite creates a triangle. 40•sin(36°) = 23.51141009 and round it to 23.51

Answer:

300 cars must be made to minimize the unit cost

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

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

If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

The cost of producing x cars is given by:

[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]

So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]

How many cars must be made to minimize the unit cost?

This is the xvalue of the vertex. So

[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]

300 cars must be made to minimize the unit cost

Answer:

A

Step-by-step explanation:

Answer:

147.50

Step-by-step explanation:

It is easy to set up the equation as a “butterfly”

x/133 = 110.9/100

cross multiply:

133(110.9)=100x

14749.7=100x ————-divide by 100 to get x alone

147.497 which would round to 147.50

Answer:

147.50

Step-by-step explanation:

BIG BRAIN AND MENTAL MATH

Answer:

line 2

Step-by-step explanation:

on line 2 the two minuses at the end turn into a + (where the -2 is there should be a +2) because - x - = +

Answer:

6.5km

Step-by-step explanation:

If you make a diagram, you'll see the submarine forms a right angle triangle with the base, where the hypotenuse is the length from the submarine to its base, and 5.5 and 3.4 are the side lengths. To find the hypotenuse, use the formula a^2+b^2=c^2.

5.5^2+3.4^=c^2

41.81=c^2

6.466=c

Round it to one decimal point and you get 6.5km.

Answer:

6.5km

Step-by-step explanation:

I think is this I am not really sure

Answer:

B 1/2

Step-by-step explanation:

This is right

The probability that the sum of the two numbers is odd, given that the product is 6 will be 2/3. Option C is correct.

Probability is synonymous with possibility. It is concerned with the occurrence of a random event. Probability can only have a value between 0 and 1.

Ethan cranks the arrow on the spinner after rolling the number cube. There is a list of all conceivable outcomes.

{(1, 1), (1, 2), (1,3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4,1),(4,2), (4,3), (5, 1), (5,2), (5,3), (6, 1), (6,2), (6,3)}

The no of sets having the sum of the number is odd=9

The no of sets having the product of the number is 6=3

The total number including the two conditions=3+9=12

Probability is found as;

P=12/18

P=2/3

The probability that the sum of the two numbers is odd, given that the product is 6 will be 2/3.

Hence, option C is correct.

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Answer:

1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.

Answer:

D) 18a

Step-by-step explanation:

y - x

= 4x - x (plug y = 4x)

= 3x

= 3(2z) (plug x = 2z)

= 6z

= 6(3a) (plug z = 3a)

= 18a

The nth terms of sequence 1 ; 5 ; 11 ; 19  is n² + n + -1   and the nth terms of sequence -2;-3; -6;-11; is -n² + 2n -3  .

The differences (referred to as first differences) between every two successive terms are the same, then it is called an arithmetic sequence (which is also known as a linear sequence). But if the first differences are NOT same, and instead, the second differences are the same, then the sequence is known as a quadratic sequence.

According to the question

The sequence      1   ,   5   , 11  ,   19

First difference :       4      6       8

Second difference:        2     2  

1.1.1>

Now, expression for the nth term of the sequence.

Quadratic equation

ax² + bx + c

at n= 1

a + b + c = 1 -----------------(1)

At n = 2

4a + 2b + c = 5 ------------------(2)

At n = 3

9a + 3b + c = 11 -------------------(3)

solving equation

Subtracting equation (3) from (2)

9a + 3b + c = 11

-4a - 2b - c = -5

5a + b = 6 ----------------------(4)

Subtracting equation (2) from (1)

4a + 2b + c = 5

-a  - b - c = -1  

3a + b = 4 ---------------------------- (5)

Subtracting  equation (5) from  (4)

5a + b = 6

-3a - b = -4

2a = 2

a = 1

Putting value in equation (5)

3a + b = 4

3*1 + b = 4

b = 1

Substituting the value in equation (1)

a + b + c = 1

1 + 1 + c = 1

c = -1

Substituting the value in the quadratic equation

x² + x + -1

For nth term

n² + n + -1  

1.1.2>

Term of the sequence is 2549

Now,

using the nth term

n² + n + -1  = 2549

n (n+1) = 2550

n (n+1) = 50 * 51

n = 50

1.2>  sequence of numbers is given:   -2   ,-3   ,-6   ,-11

                First difference =                       -1     -3    -5

               Second difference =                       -2    -2    

1.2.1 >

Now , expression for the nth term of the sequence.

Quadratic equation

ax² + bx + c

at n= 1  

a + b + c = -2 -----------------(1)

At n = 2

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

At n = 3

9a + 3b + c = -6 -------------------(3)

solving equations  

Subtracting equation (3) and (2)

9a + 3b + c = -6

-4a - 2b - c = 3

5a +b = -3 ----------------(4)

Subtracting equation (2) and (1)

4a + 2b + c = -3

-a - b - c = 2

3a + b = -1 -------------------(5)

Now,

Subtracting equation (5) and (4)

5a +b = -3

-3a - b = 1

2a = -2

a = -1

Putting value of a in equation (5)

3*-1 + b = -1

b = 2

Substituting values in equation (1)

-1 + 2 + c = -2

c = -3

nth term

-n² + 2n -3  

1.2.2>the sequence of numbers will never contain a positive term.  

because its first term is -ve and difference between consecutive term is always -ve. or as per nth term n² is a -ve term .

Hence, the nth terms of sequence 1 ; 5 ; 11 ; 19  is n² + n + -1   and the nth terms of sequence -2;-3; -6;-11; is -n² + 2n -3  .

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Answer:

Perimeter = 133.681 cm

or 52.63 inches.

Step-by-step explanation:

"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."

let's use,  πr + 2r

Diameter: 52

Radius: 26 (RAdius is half of the diameter)

πr + 2r (plug in)

pi x 26 + 2(26)

pi x 26 + 52

= 133.681 cm

or

= 52.63

Answer:

[tex]let \: the \: corresponding \: side \: of \: smaller \: triangl e \: be \: of \: length \: x \\ 4 \ratio5 = x \ratio62 \\ \frac{4}{5} = \frac{x}{62} \\ x = 62 \times \frac{4}{5} \\ x = 49.6[/tex]

Step-by-step explanation:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects

13 is the value when 2 is added to 11

Answer:

The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assume that σ=21 and determine the required sample size.

A sample size of n is needed.

n is found when M = 6. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]6 = 2.575\frac{21}{\sqrt{n}}[/tex]

[tex]6\sqrt{n} = 2.575*21[/tex]

Dividing both sides by 3

[tex]\sqrt{n}= 2.575*3.5[/tex]

[tex](\sqrt{n})^2 = (2.575*3.5)^2[/tex]

[tex]n = 81.2[/tex]

Rounding up:

The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.

Answer:true

Step-by-step explanation:        

Answer:

Formula

Step-by-step explanation:

Answer:

formula because it gives you the number and tells you what to do.

A speed rate….=constant of proportionality

A number, k……=unit rate

A ratio…………….=slope

Answer:

Step-by-step explanation:

A speed rate = constant of proportionality

A number, k = unit rate

A ratio = slope

Answer:

37.7

Step-by-step explanation:

First you would need to find the radius by dividing 24 by 2 which is 12. Then multiply the radius by pie (3.14) and the answer should be 37.68 rounded to the nearest tenth, 37.7.

Answer:

r = 16

Step-by-step explanation:

6/6 = r/16

6r = 96

/6     /6

r = 16