The three principles that result in high reliability include having a _____ sample, less-variable observations, and many cases.

Answer:

Mia will need a fence that is 9.22 meters long.

Step-by-step explanation:

Answer:

If the square root is not a perfect square, then an approximation of the root often makes more sense in the context of the problem. For real-world problems, you would want an approximation, so you have an estimate of the length you are looking at.

Step-by-step explanation:

edg 2022

Answer:

x ≈ 5.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin64° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{6}\) ( multiply both sides by 6 )

6 × sin64° = x , then

x ≈ 5.4 ( to the nearest tenth )

The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Answer:

97

Step-by-step explanation:

\( {4}^{2} + 3(37 - (2 \times 5)) \\ {4}^{2} + 3(37 - 10) \\ {4}^{2} + 3(27) \\ {4}^{2} + 81 \\ 16 + 81 \\ 97\)

Hope this helps! Brainliest would be really appreciated!

Answer:

587.18 in²

Step-by-step explanation:

In the above question, we are given the following values

Diameter = 11 inches

Radius = Diameter/2 = 11 inches/2 = 5.5 inches

Slant height = 28.5 inches.

We were asked to find how many square inches of paper will she need to cover the ENTIRE cone.

To solve for this, we would use formula for Total Surface Area of a Cone

Total Surface Area of a Cone = πrl + πr²

= πr(r + l)

Using 3.14 for π

Total Surface Area of a Cone

= 3.14 × 5.5( 5.5 + 28.5)

= 3.14 × 5.5 × (34)

= 587.18 in²

Therefore, Anita will need 587.18 square inches of paper to cover the entire cone.

Answer:

B

Step-by-step explanation: Just trust me bro

Answer:

\( \sqrt[3]{1000} = 10\)

So the radius of the sphere is 10/2 = 5 inches.

The volume of this sphere is

(4/3)π(5³) = 500π/3 cubic inches.

Answer: 13.7 ft

Step-by-step explanation:

Use Pythagorean theory to find radius

C^2 - B^2 = A^2

We know the hypotenuse (cone to edge) is 15

We will call that C

We know the height is 6

We will call that B

We are looking for A or radius

15^2 - 6^2 = A^2

225 - 36 = A^2

189 = A^2

Take square root of both sides

13.7 = A (radius)

The sampling distribution of the sample mean diameter (X) for a random sample of n = 16 rings is centered at the population mean of 16 cm. This means that on average, the sample mean diameter will be equal to the population mean. The standard deviation of the X distribution can be calculated using the formula σ/√n, where σ is the population standard deviation and n is the sample size. In this case, the population standard deviation is given as 0.08 cm and the sample size is 16. Therefore, the standard deviation of the X distribution is 0.02 cm.

The sampling distribution is important in statistical analysis as it helps to determine the probability of obtaining a particular sample mean. It also allows us to estimate the true population mean and evaluate the effectiveness of statistical inferences. In this case, we can use the sampling distribution to determine the probability of obtaining a sample mean diameter that is different from the population mean of 16 cm. With a standard deviation of 0.02 cm, we can expect that the sample means will be relatively close to the population mean, with most falling within a few standard deviations from the mean.

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The distance from the line y = 2x + 2 to the point (-1, -5) is 1 / sqrt(5).

To find the distance from a line to a given point, we can use the formula:
distance = |Ax + By + C| / sqrt(A^2 + B^2)
In this case, the equation of the line is y = 2x + 2, and the given point is (-1, -5).
To find the distance, we need to determine the values of A, B, and C.

From the equation of the line, we can see that A = 2, B = -1, and C = -2.
Plugging these values into the formula, we get:
distance = |2*(-1) + (-1)*(-5) - 2| / sqrt(2^2 + (-1)^2)
        = |-2 + 5 - 2| / sqrt(4 + 1)
        = |1| / sqrt(5)
        = 1 / sqrt(5)
Therefore, the distance from the line y = 2x + 2 to the point (-1, -5) is 1 / sqrt(5).

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Answer:

25 years old

Step-by-step explanation:

Let the teacher's age be a.

Then:

a^2 - 23a = 50

In standard form, this quadratic is

x^2 - 23a - 50 = 0

Factoring this, we get (x - 25)(x + 2) = 0

So a is either 25 or a is -2.  Only a = 25 is relevant here.

The teacher is 25 years old (Answer G)

Answer:

x = 8

Step-by-step explanation:

\( \triangle XYZ \sim\triangle PQR... (GIVEN) \\

\therefore \frac{XY}{PQ} = \frac{YZ}{QR}.. (csst) \\

\therefore \frac{20}{30}= \frac{x+6}{21}\\

\therefore \frac{2}{3}= \frac{x+6}{21}\\

\therefore \frac{2\times 21}{3}= {x+6}\\

\therefore 14= {x+6}\\

\therefore 14-6= {x}\\

\therefore 8= {x}\\

\huge \orange{\boxed {\therefore x = 8}} \)

\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

As per the volume, the dimension of an Extra Large Box is 3.78 feet.

Let's call the length of one side of the cube "s". Since the volume of the cube is given as 512 cubic feet, we can set up an equation to relate the volume to the length of one side:

Volume of cube = s³ = 512 cubic feet

To solve for "s", we can take the cube root of both sides of the equation:

s = ∛512

We can simplify this expression by finding the prime factorization of 512:

512 = 2⁹

Therefore, we can rewrite the expression for "s" as:

s = ∛2⁹

Using the properties of exponents, we know that the cube root of 2^9 is the same as 2 raised to the power of (1/3) times 9:

s = \(2^{1/3} \times 9^{1/3}\)

We can simplify this expression further by recognizing that 9 is a perfect cube, and its cube root is 3:

s = \(2^{1/3} \times 3\)

Therefore, the length of one side of the cube-shaped box is:

s = \(2^{1/3} \times 3\) feet

Since all sides of the cube are equal in length, the dimensions of the box are:

Length = Width = Height = \(2^{1/3} \times 3\) feet = 3.78 feet.

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Complete Question:

Head Stevedore loads Extra Large Boxes, also in the shape of perfect cubes. The volume of each box is 512 cubic feet. What are the dimension of an Extra Large Box?

The value of 5 ◊ 4 is 23.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

a ◊ b = 3a + 2b

So, a= 5 and b= 4

then, 5 ◊ 4

= 3(5)+ 2(4)

= 15 + 8

= 23

Hence, the value of 5 ◊ 4 is 23.

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The unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters is\(9.\)

A triangle  can be referred to as a polygon with three edges and three vertices.

we can arrange length of one side of a unique triangle in 3 different ways.

Let x,y,z be the length of the three sides.

For triangles to be unique, length of one side can be arranged in 3 different ways.

Then, length of 6.5 cm can be at maximum three positions which is x,y,z.

The 2.5 cm lenght can appear to be at maximum three positions which is  x,y,z.This can as well be done for 6cm.

Therefore, total ways of making unique triangles\(= (3 + 3+ 3)= 9\)

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Answer:

1

Step-by-step explanation:

Given:

What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?

​Solve:

Define:

What is a unique triangle?

Only one way to create triangle.

Are congruent which means same.

As you may know the word "Unique"

which means : original and unique designs

So without even solving we can see that there is only "One" way .

Kavinsky

The value x = - 2 is not part of the domain of the function f(x) = √(x + 1).

Radical functions are functions that involves root operators. We see here a radical function of the form f(x) = √(x + a), whose domain is x ∈ [- a, + ∞), that is, x ≥ - a. If we know that f(x) = √(x + 1), then a = 1 and the domain of the function is x ∈ [- 1, + ∞), that is, x ≥ - 1.

Hence, the value x = - 2 is not part of the domain of the function f(x) = √(x + 1).

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Answer:

\(r\)\(\geq\)\(\frac{-16}{7}\)

Step-by-step explanation:

-13+13r\(\geq\)-22+6r-7

bring all r and number one oppsite sides

13r - 6r \(\geq\) -22-7+13

7r \(\geq\) -16

r \(\geq\) \(\frac{-16}{7}\)

mark me as branliest. ty

Answer:

Look down!!

Step-by-step explanation:

Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation.

Ex.

4=2+2

y=4

x=2

Hope this helps!!

Answer:

Step-by-step explanation:

the y intercept would be 0,2

to find the x intercept plug in a 0 for y

0=-x+2

-2=-x

x=2

the x intercept would be 2,0

so 2,0 0,2 plot those points and draw a line through that. would look something like this

Answer:

c) 27.9

Step-by-step explanation:

Since MN is the midsegment ,

MN = (AB + CD)/2

21.1 = (AB + 14.3)/2

21.1*2 = AB + 14.2

AB = 42.2 - 14.2

AB = 27.9

Answer:

C

Step-by-step explanation:

the midsegment is equal to half the sum of the parallel bases, that is

\(\frac{1}{2}\) (AB + CD) = MN ( substitute values )

\(\frac{1}{2}\) (AB + 14.3) = 21.1 ( multiply both sides by 2 to clear the fraction )

AB + 14.3 = 42.2 ( subtract 14.3 from both sides )

AB = 27.9 cm

Answer:

(5 - 8) - r or -3 - r

Step-by-step explanation:

subtract 8 from 5, then subtract r from the result

\/

(5 - 8), then subtract r from the result

\/

(5 - 8) - r

Have a nice day!

     If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The value οf x is 3

A variety οf issues are resοlved by algebraic calculatiοns that treat variables like explicit integers in a single cοmputatiοn. The quadratic fοrmula, fοr instance, can be used tο sοlve any quadratic equatiοn by exchanging the variables in the quadratic fοrmula fοr the numerical values οf the cοefficients in the equatiοn.

A variable in mathematical lοgic is either a symbοl fοr an undefined term οf the theοry (a meta-variable), οr it is a fundamental οbject οf the theοry that is changed withοut cοnsidering any pοtential intuitive meaning.

Given

8x+17 = 41

Sοlving fοr variable 'x'

Add '-17' tο each side.

17 + -17 + 8x = 41 + -17

Or, 8x=24

Divide each side by '8'

Or, x=3

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Answer:

1.) At times, designing a good structure with a specific function may often be difficult. If the structure is not well-designed or strong enough for the function it will not properly work. So in order for the design to be well-built, both the structure and function must cooperate.

2.) Symmetry is a balanced arrangement on the opposite sides of a structure. In order for for a structure to be stable and properly work without complications, it most commonly needs to be symmetrical. This is a very important part of designing a structure.

3.) If the structure cannot withstand the function nor the possible forces that it may encounter. It is likely that it will break or even be completely destroyed.

4.) Shape, line, color, texture, movement, space. The designer may have taken into consideration whom the desk may be used by for the shape and space. Color, texture, and line may have been based on the environment (ex. A carpenter, student, computer desk) it would be in. Although the designer may not have an exact knowledge of where the desk would be, he still could consider what the desk could "possibly" be used for. Once again, the designer could take into consideration the user, for the movement of the desk. If the desk was to be moved around on wheels, or possibly could even fold. The designer must take into consideration EVERY detail.

6.) When people design something, often times you do not know how well that design is going to work without testing it with a prototype. Yes, prototypes are expensive. Yet, if they were to build something without testing their design, something may be wrong with it. So as a result, you will spend more money manufacturing something with a defect than testing it with a prototype.

For question 5, I think it might be best if you answer that one. It is based on YOUR opinion and what YOU use. If you are asked about it, they will know it's from you and your opinion. Lol! But I hope I helped you out with the other questions! ;)

The value of x and y are 2 and 8. for the pair of linear equations.

How do we solve the Pair of Linear equations in two Variables?

There are two ways to solve and express the pair of linear equations:

Graphical Approach

Algebraic Approach

Ax + by + c = 0 is the universal form of a pair of linear equations in two variables, let's say x and y.

Where a, b, c, d, e, and f are all real values and where a + b 0, d+e 0, and dx + ey + f = 0 (2).

In the question, The equation is:

y = -x + 10

y = 2x + 4

Now, Substituting the value of y in the 2nd equation, we get:

⇒-x + 10 = 2x + 4;

⇒2x+x = 10-4;

⇒3x=6;

⇒x=\(\frac{6}{3}\)

⇒x = 2;

The value of x is 2;

now substituting the value in the equation to get y:

y = -2+10

⇒y = 8;

Hence, The value of x and y are 2 and 8 respectively.

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Value of t is the object at or above a height of 288 ft is 0≤3≤t second.

What is Rational function ?

Any function that can be expressed as a polynomial divided by a polynomial is considered to be rational. The domain of a rational function is the set of all numbers excluding the zeros of the denominator because polynomials are defined everywhere.

A function that measures two polynomials in comparison. Because one is divided by the other, just like a ratio, it is "rational."

Given expression is ;

-16x^2 + 144x = 288     ..................................... (1)  

16x^2 - 144x + 288 = 0

is equivalent to

x^2 - 9x + 18 = 0

(x-3)*(x-6) = 0.

The roots of the equation (1)  are  3  and  6  seconds.

Therefore, from the time of 3 seconds until the time of 6 seconds, the object is above the height of 144 feet.

or exactly  6 - 3 = 3 seconds.  

Hence the correct option is 0≤3≤t.

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Answer:

\(y = 6\)

\(hope \: it \: helps... \\ mark \: as \: brainliest.....\)

Answer:

top: 21 < x < 33

bottom: 3 < x ≤ 8

Step-by-step explanation:

Answer:

sounds like .063 to me

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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The dimensions will be as follows;

width is 5cm while the length is 20cm.

Let width = w

Let length = 4w (according to question)

Perimeter = 50cm

Perimeter formula for a rectangle = 2 (l +w)

Substituting in the variables (width and length)

2(w + 4w) = 50

2(5w) = 50

10w = 50

w = 5

Remember that length = 4w

length = 4w

length = 4(5)

length = 20cm

Therefore, the dimensions of the rectangle are 5cm by 20 cm.

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