What is the Product of the square root of 3 and the square root of 9

Answer:

Al evento entraron 82 adultos y 18 menores de edad.

Step-by-step explanation:

De acuerdo a la información proporcionada, puedes plantear las siguientes ecuaciones:

x+y=100 (1)

90x+45y=8190 (2), donde:

x es el número de adultos

y es el número de menores de edad

Puedes despejar x en (1):

x=100-y (3)

Después, puedes reemplazar (3) en (2):

90(100-y)+45y=8190

9000-90y+45y=8190

9000-8190=90y-45y

810=45y

y=810/45

y=18

Ahora, puedes reemplazar el valor de y en (3) para encontrar x:

x=100-y

x=100-18

x=82

De acuerdo a esto, la respuesta es que al evento entraron 82 adultos y 18 menores de edad.

Approximately 1068 randomly selected air passengers must be surveyed to achieve a 98% confidence level with a 3 percentage point margin of error.

To determine the sample size required for surveying air passengers, you need to consider the desired confidence level and the desired margin of error. In this case, you want to be 98% confident that the sample percentage is within 3 percentage points of the true population percentage.

To calculate the required sample size, you can use the formula:

n = (Z² * p * (1 - p)) / (E²)

where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (in this case, 98% confidence)

p = estimated proportion or expected proportion (use 0.5 for maximum variability)

E = desired margin of error (in this case, 3 percentage points, so E = 0.03)

Plugging in the values:

n = (Z² * p * (1 - p)) / (E²)

n = (2.33² * 0.5 * (1 - 0.5)) / (0.03²)

n ≈ 1068

Therefore, you would need to survey approximately 1068 randomly selected air passengers to achieve a 98% confidence level with a margin of error of 3 percentage points.

Note: The Z-score of 2.33 corresponds to a 98% confidence level, assuming a normal distribution.

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The constant of proportionality (r) in the equation y = r * x is approximately equal to 963.702.

To find the constant of proportionality (r) in the equation y = r * x, we can use the given data points where xxx and yyy are proportional. Let's analyze the data:

Data Point 1: xxx = 333, yyy = 303030

Data Point 2: xxx = 101010, yyy = 100100100

Data Point 3: xxx = 161616, yyy = 160160160

To determine the constant of proportionality (r), we need to find the ratio between yyy and xxx for each data point. Let's calculate these ratios:

Ratio 1: yyy/xxx = 303030/333 ≈ 909.909

Ratio 2: yyy/xxx = 100100100/101010 ≈ 990.099

Ratio 3: yyy/xxx = 160160160/161616 ≈ 990.099

From these ratios, we can observe that they are approximately equal to each other. Therefore, we can conclude that the constant of proportionality (r) is approximately equal to the average of these ratios:

r ≈ (909.909 + 990.099 + 990.099) / 3 ≈ 963.702

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For a sample of rating of an automobile manufacturer's van regarding rating of 28.3 miles/gallon (mpg), the Z-test statistic value is equals to the -1.631.

Z-test is a parametric test. When the sample size is sufficiently large, it is mostly used. This test statistic is computed a standard normal distribution. It is then compared with the critical value (obtained from z-table). If the test statistic value is greater than it, there is evidence to reject the null hypothesis. We have an automobile manufacturer with its van rating. A sample of 200 vans is randomly considered. Sample size, n = 200

Mean of rating = 28

Standard deviations = 2.6

Lavel of significance= 0.01

To test the firm'claim we have to consider hypothesis testing here. Since it is claimed by an automobile manufacturer that its car has a 28.3 miles/gallon (MPG) rating, therefore, the null hypothesis and alternative can be stated as:

\(H_0 :μ = 28.3\)

\(H_a :μ≠28.3\)

Now, to determine the value of the test statistic, consider the Z-test : \( z = \dfrac{{M - \mu }}{{\dfrac{\sigma }{{\sqrt n }}}}\)

where, M -> mean

n --> sample size

Substitute all known values in above formula, \(= \dfrac{{28 - 28.3}}{{\dfrac{{2.6 }}{{\sqrt {200} }}}}\\\)

\(= \dfrac{{-0.3}}{{\dfrac{{0.26 }}{{\sqrt {2} }}}}\\\)

=> z = - 1.631

Hence, required test statistic value is -1.631.

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the given expression is,

7000.2

the place value of 7 is,

7x 10^3 = 7000

thus, the answer is 7000

i have solved your problem in the answer tab.

if you have any doubt with this solution then let me know.

An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

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Expressed as fraction : \($\frac{116050}{59049}$\)

\(\begin{align*} S &= \frac{a(1-r^{n})}{1-r}= \frac{2}{3} \cdot \frac{1-\left(\frac{2}{3}\right)^{10}}{1-\frac{2}{3}}\\ & = \frac{2}{3}\cdot\frac{1-\frac{1024}{59049}}{\frac{1}{3}}=\frac{2}{3}\cdot\frac{3}{1}\cdot\frac{58025}{59049}=\frac{2\cdot58025}{59049}\\ & = \boxed{\frac{116050}{59049}}. \end{align*}\)\(S &= \frac{a(1-r^{n})}{1-r}= \frac{2}{3} \cdot \frac{1-\left(\frac{2}{3}\right)^{10}}{1-\frac{2}{3}}\\ & = \frac{2}{3}\cdot\frac{1-\frac{1024}{59049}}{\frac{1}{3}}=\frac{2}{3}\cdot\frac{3}{1}\cdot\frac{58025}{59049}=\frac{2\cdot58025}{59049}\\ & = {\frac{116050}{59049}}\)

The sum S is calculated using the formula for an infinite geometric series, which states that the sum of the series is equal to the first term divided by 1 minus the common ratio.

The first term in the series is \($\frac{2}{3}$\), and the common ratio is \($\frac{2}{3}$\), so the sum is equal to \($\frac{2}{3} \cdot \frac{1-(\frac{2}{3})^{10}}{1-\frac{2}{3}}$\)

This expression simplifies to \($\frac{2 \cdot 58025}{59049}$\), or \($\frac{116050}{59049}$\)

Complete question:

What is the value of sum \(\frac{2}{3}+\frac{2^2}{3^2}+\frac{2^3}{3^3}+ \ldots +\frac{2^{10}}{3^{10}}\)?

Express your answer as a common fraction

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Answer:

7/3

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

3/7 x 7/3 = 1

Special Product are the result of binomials being multiplied, or simplified further, and can be solved with ease using the First Last Inner Outer method. this product is not a special product.

Special Product (a+b) (a+b) = aa + ab + ab + bb = \(a^{2} + 2ab + b^{2}\).

we can use this formula anytime we are multiplying a binomial of the form a + b.

Factor as a Difference of Squares

factoring:  \(81a^{2} b^{4} - c^{6}\) = \((3^{4}a^{2} . b^{4}) - c^{6}\)

A difference of two perfect squares, \(A^{2} - B^{2}\) can be factored into

\((A+B)(A-B)\\A^{2} - AB + BA - B^{2}\\ A^{2} - AB + AB -B^{2}\\ A^{2} -B^{2}\)

AB = BA is he commutative property of multiplication from the expression.

-AB+BA equal zero and is therefore eliminated from the expression.

81 is the square of 9

\(a^{2}\) is the square of \(a^{1}\)

\(b^{4}\) is the square of \(b^{2}\)

\(c^{6}\) is the square of \(c^{3}\)

Factorization is \((9ab^{2}+c^{3}) . (9ab^{2}-c^{3} )\)

Factoring: \((9ab^{2}+c^{3})\)

A sum of perfect cubes, \(a^{3} + b^{3}\) can be factored into :\((a+b).(a^{2}-ab+b^{2})\\a^{3}-a^{2}b+ab^{2}-b^{2}a+b^{3}\\ a^{3}+(a^{2}b-ba^{2})+(ab^{2}-b^{2}a)+b^{3}\\ a^{3}+b^{3}\)

9 is not a cube(Binomial can not be factored as the difference of two perfect cubes)

Factoring: \((9ab^{2}-c^{3} )\)

A difference of two perfect cubes, \(a^{3} - b^{3}\) can be factored into

\((a-b).(a^{2}+ab+b^{2})\\a^{3}+a^{2}b+ab^{2}-ba^{2}-b^{2}a-b^{3}\\ a^{3}+(a^{2}b-ba^{2})+(ab^{2}-b^{2}a)-b^{3}\\ a^{3}-b^{3}\)

9 is not a cube(Binomial can not be factored as the difference of two perfect cubes)

Hence, 81a2b4 - c6 this solution deals with factoring binomials as the sum or difference of cubes.

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Grams per cubic centimeter to kilograms per cubic meter is 1000.

1 g/cm³ = 1000 kg/m³

The conversion value:

1 gram = 1/1000 kg

1 cm³ = 1/1000000 m³

Find the conversion from grams per cubic centimeter to kilograms per cubic meter!

Grams per cubic centimeter = g/cm³

Kilograms per cubic meter = kg/m³

Multiply the number with the each conversion value!

See that the cubic centimeter is as a denominator. So, we reverse the fractional value.

1 g/cm³

= 1 × 1/1000 × 1000000/1 kg/m³

= 1000 kg/m³

Hence, the conversion value from grams per cubic centimeter to kilograms per cubic meter is 1000.

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The percentage of earth that is not covered in water is given by the equation A = 29 %

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.

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 data ,

Let the total area of earth be = 196,900,000 square miles

And , 71% of Earth’s surface is covered in water

So ,

Percentage of earth's surface covered in water = 71 %

And , area of earth covered by water = 139,799,000 square miles

Substituting the values in the equation , we get

So , the remaining percentage of earth not covered in water A = 100 - 71

On simplifying the equation , we get

Remaining percentage of earth not covered in water A = 29 %

The remaining area of earth = 0.29 x 196,900,000

The remaining area of earth = 57,101,000 miles²

Therefore , the value of A is 29 %

Hence , the percentage is 29 %

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Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Hello loll6591!

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

Perform the indicated operation and simplify the result. x/5+x/6

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \frac{x}{5} + \frac{x}{6} \\ \)

First, find the LCM of 5 & 6, which is 30.

\( \rightarrow \frac{x}{5} \times \frac{6}{6} = \frac{6x}{30} \\ \\ \rightarrow\frac{x}{6} \times \frac{5}{5} = \frac{5x}{30} \)

Now add 6x/30 with 5x/30.

\( \frac{6x}{30} + \frac{5x}{30} \\ = \frac{6x + 5x}{30} \\ = \large \boxed{\boxed{\frac{11x}{30} }}\)

__________________

Hope it'll help you!

ℓucαzz ッ

Answer:

22

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A reflextion across the y axis is across the center line.

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

Answer:

5/4 or 1 3/4

Step-by-step explanation:

1/2×2+3/4=5/4 or 1 3/4

Answer:

Exact form- 3/8

Decimal form- 0.375

Step-by-step explanation:

3 x 1 = 3

4 x 2 = 8

The probability that the next chew Bella removes from the bag will be a lemon chew is 3%.

Probability is a measure of the likelihood or chance of a particular event occurring. It is expressed as a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event.

given:

A pineapple chew was selected 53 times.

A lemon chew was selected 2 times.

A watermelon chew was selected 3 times.

The probability of selecting a lemon chew in the next experiment can be calculated by dividing the number of times a lemon chew was selected by the total number of experiments:

P(lemon chew) = 2/58

Converting this to a percentage:

P(lemon chew) = 3.45%

Rounding to the nearest whole number, the probability that the next chew Bella removes from the bag will be a lemon chew is 3%.

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Answer: 4x + 5

Step-by-step explanation:

Answer:

$31.84

Step-by-step explanation:

45.49 x 30% = 13.65

45.49 - 13.65 = 31.84

Answer:

B. Right angle

Step-by-step explanation:

have a great day! feel free to mark me as brainliest! :)

B. Right

hope it helps!

Answer:

\(f(-1)=-5\)

Step-by-step explanation:

Numeric Value of a Function

Given:

\(f(x)=4x^2-9\)

It's required to find f(-1).

It can be calculated by substituting the value x=-1 in the function:

\(f(-1)=4(-1)^2-9\)

Calculating:

\(f(-1)=4*1-9\)

\(f(-1)=4-9\)

\(\boxed{f(-1)=-5}\)

Here's link\(^{}\) to the answer:

bit.\(^{}\)ly/3gVQKw3

Answer:

54

Step-by-step explanation:

If increasing the sides of a square field by five feet will increase the area by 245 ft², then the area of the original square is 484 ft².

To find the area of the original square, we can use the following formula:

Area of the original square = x²

where x is the original length of the square field.

Given that the increase in the length and width of the square field is 5 ft, the side length of the new square is (x + 5) ft. Therefore, the area of the new square is (x + 5)² ft².

Given that the area of the new square is 245 ft² more than the area of the smaller square, we can write:

(x + 5)² = 245 + x²

Expanding the left-hand side of the equation and simplifying, we get:

x² + 10x + 25 = 245 + x²

Solving for x, we get:

10x + 25 = 245

x = 22

Plugging x = 22 into the formula, we can find the area of the original square:

Area of the original square = x² = 22² = 484 ft²

Therefore, the area of the original square is 484 ft².

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Answer:

d

Step-by-step explanation:

...........

..........

correct ans is D

After answering the given query, we can state that Y = 10 does not have a constant, so it cannot be a linear equation. Cole is accurate in stating that Y = 10 is not a linear solution as a result.

In mathematics, a linear equation has become one that takes the form y=mx+b. The inclination is B, and the y-intercept is m. Since y and x are variables, the preceding clause is frequently referred by the term a "linear equation involving two variables." Bivariate linear equations are linear equations with two variables. Linear equations can be found in many places, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When the formula has the structure y=mx+b, where m denotes the slope and b the y-intercept, it is often referred to because of being quadratic.A mathematical equation is said to be linear if its solution has the form y=mx+b, where m stands for the slope and b for the y-intercept.

When a variable (in this instance, Y), has a highest power of 1, the equation is said to be linear. The greatest power of Y is 1, and the equation Y = 10 has no additional terms or variables, so at first glance it might seem to be a linear equation.

But a variable component must also have a coefficient in a linear equation. In other words, the formula should be Y = mX plus b, where X is a variable, m and b are constants, and Y is the dependent variable.

Y = 10 does not have a constant, so it cannot be a linear equation. Cole is accurate in stating that Y = 10 is not a linear solution as a result.

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Answer:

24/182 = 12/91

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

Given linear inequalities in the graph are,

\(y\geq -\frac{1}{3}x+2\)

y < 2x + 3

Here shaded area above the solid line represents the inequality,

\(y\geq -\frac{1}{3}x+2\)

And shaded area on the right side of the dotted line represents the solution set of the inequality,

y < 2x + 3

And the solution set of the system of linear inequalities will be represented by the common area of these inequalities.

Therefore, ordered pairs (2, 2), (3, 1) and (4, 2) will lie in the common shaded area.

Option (1) will be the answer.

A bell-shaped histogram is a type of graph that displays a normal distribution, which is a probability distribution that is symmetrical and has a characteristic bell shape.

The bell-shaped histogram is created by plotting the data on a horizontal axis and the frequency or probability on a vertical axis. The data points are grouped into intervals called bins, and the number of data points that fall into each bin is plotted as a bar. The bars are typically drawn adjacent to one another and connected with lines to create a continuous curve that represents the normal distribution.

The resulting histogram will have a characteristic bell shape, with a high point at the mean, and decreasing frequency or probability as the values move away from the mean in either direction. The width of the curve is determined by the standard deviation of the data, with wider curves indicating greater variation in the data.

The bell-shaped histogram is commonly used in statistical analysis to represent normally distributed data, such as the heights or weights of a population, test scores, or other measurements that tend to cluster around a central value with a predictable range of variation.

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The work done to lift a 90 kg weight by 75 cm is approximately 661.5 joules.

Para calcular el trabajo realizado al elevar una pesa de 90 kg a una altura de 75 cm sobre el piso, necesitamos conocer la fuerza necesaria para levantar la pesa y la distancia que recorre la pesa para llegar a su altura máxima.

El trabajo se define como la energía necesaria para mover un objeto a través de una distancia determinada, y se calcula como el producto de la fuerza aplicada y la distancia recorrida.

En este caso, la fuerza necesaria para levantar la pesa es igual a su peso, que se calcula como su masa multiplicada por la aceleración debido a la gravedad (9.8 m/s²):

peso = masa x gravedad

    = 90 kg x 9.8 m/s²

    = 882 N

La distancia que recorre la pesa para elevarse 75 cm (o 0.75 m) es:

distancia = 0.75 m

Por lo tanto, el trabajo realizado al elevar la pesa es:

trabajo = fuerza x distancia

       = 882 N x 0.75 m

       = 661.5 J

Por lo tanto, se requiere un trabajo de 661.5 J para elevar una pesa de 90 kg a una altura de 75 cm sobre el piso.

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