A Silver Statue has a volume of
38cm³ and a mass of 359.1g.
work out the density of the statue.
Give your answer to 2d.p.

The probability that a randomly selected month's number of order is more than 150 is 0.13%

Given, shawn finds that the monthly number of take-out orders at a restaurant is normally distributed with mean 132 and standard deviation 6.

⇒ mean = 132

⇒ standard deviation = 6

Analysis:

Set the monthly number of take out order as x.

From the question, we know:

P(x > 150) = P(x-132/ > 150-132/6)

= P(x=132/6 > 3)

= 1 - P(x-132/6 ≤ 3)

≈ 1 - 0.9987 {standard normal distribution table}

≈ 0.0013

= 0.13%

Hence we get the probability as 0.13%.

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Answer:

the exactly form i believe would be 1/64

and the decimal form would be 0.015625

The differential equation describing the cell phone sales is \(\frac{{dy}}{{dt}} = 0.5357 \cdot y(t) \cdot \left(1 - \frac{{y(t)}}{{100}}\right)\).

Based on the given information, the cell phone sales growth is logistic, with a carrying capacity of 100 thousand units. When 28 thousand cell phones have been sold, the rate of sales increase is 10 thousand units per month.

The logistic growth differential equation is given by:

\(\frac{dy}{dt} = k \cdot y(t) \cdot \left(1 - \frac{y(t)}{M}\right)\)

where dy/dt is the rate of change in sales, y(t) is the number of cell phones sold after t months, k is the growth rate, and M is the carrying capacity.

In this case, y(t) = 28, dy/dt = 10, and M = 100. To find k, we can plug these values into the equation:

10 = \($k \cdot 28 \cdot \left(1 - \frac{28}{100}\right)$\)

Solving for k:

k ≈ 0.5357

Therefore, the differential equation describing the cell phone sales is:

\(\frac{{dy}}{{dt}} = 0.5357 \cdot y(t) \cdot \left(1 - \frac{{y(t)}}{{100}}\right)\)

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In response to the given problem, we can state that the 36-foot-tall tree can be solved by solving the linear equation.

A linear equation is an algebraic expression of the form y=mx+b, where m stands for the slope and b for the y-intercept. The aforementioned generally referred to as a "linear equation involving two variables" when y and x are variables. Linear equations having two variables are referred to as bivariate linear equations. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3.

It suggests that every angle is equivalent. All the side lengths of one triangle match the grip handle lengths of the other triangle using the same multiplication factor.

2 * f = 12

f = 12/2

Now, the relationship between the heights is affected by the same factor:

The 36-foot-tall tree.

6 * 6 = 36 ft

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                                                           Part A)

Given

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

\(y - 2 = 6(x-7)\)

Therefore, the equation in​ point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:

\(y - 2 = 6(x-7)\)

                                                        Part B)

Given

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

\(y - 8 = -3(x-3)\)

Therefore, the equation in​ point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be:

\(y - 8 = -3(x-3)\)        

To match decimal values with their corresponding hexadecimal values, we need to convert the decimal numbers into their hexadecimal equivalents using division and remainders.

To match each decimal value on the left with the corresponding hexadecimal value, we need to convert the decimal numbers into their hexadecimal equivalents.

Here are a few examples:

1. Decimal 10 = Hexadecimal A

To convert 10 to hexadecimal, we divide it by 16. The remainder is A, which represents 10 in hexadecimal.

2. Decimal 25 = Hexadecimal 19

To convert 25 to hexadecimal, we divide it by 16. The remainder is 9, which represents 9 in hexadecimal. The quotient is 1, which represents 1 in hexadecimal. Therefore, 25 in decimal is 19 in hexadecimal.

3. Decimal 128 = Hexadecimal 80

To convert 128 to hexadecimal, we divide it by 16. The remainder is 0, which represents 0 in hexadecimal. The quotient is 8, which represents 8 in hexadecimal. Therefore, 128 in decimal is 80 in hexadecimal.

Remember, the hexadecimal system uses base 16, so the digits range from 0 to 9, and then from A to F. When the decimal value is larger than 9, we use letters to represent the values from 10 to 15.In conclusion, to match decimal values with their corresponding hexadecimal values, we need to convert the decimal numbers into their hexadecimal equivalents using division and remainders.

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Please provide a photo.

Answer:

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Step-by-step explanation:

\(g(f(x))=(x-7)^3=x^3 - 21 x^2 + 147 x - 343\)

Answer:

Evaluation: √2

Simplified: |-2|+2

Hope this helps!

Answer:

11.18033989

Step-by-step explanation:

A valid study is one that portrays the population being studied and measures what it is supposed to. It must use random sampling and produce expected results to be deemed a reliable source. However, such studies do not necessarily result in a causal relationship between the independent and dependent variables.

The primary goal of any study is to depict the population being investigated in an accurate and unbiased manner. This involves selecting an appropriate sample of the population to study. This is why a study must use random sampling, which means every member of the population has an equal chance of being selected. This helps avoid sample bias, which is when a sample is chosen in a way that it is not representative of the population, leading to incorrect or inaccurate conclusions.

A valid study must measure what it is supposed to, which means that the study should be designed to measure what it claims to measure. For instance, a study on the effects of sleep on memory should use measures that accurately assess memory and sleep. If the study is designed to assess memory but fails to do so, the results will be unreliable. Finally, a valid study verifies expected results.

This means that the study should produce results that are consistent with what is expected based on prior research or theory. However, this does not mean that a study necessarily results in a causal relationship between the independent and dependent variables. Rather, such a relationship can only be inferred if the study is well-designed and the results are properly analyzed and interpreted.

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Cross multiplication of equation a/b = c/d is a × d = b × c

Cross multiplication is a mathematical process used to solve equations involving fractions. It is also called the "cross product" or "cross method".

The cross multiplication method is used to solve equations of the form:

a/b = c/d

where a, b, c, and d are numbers, and we want to solve for one of the variables, say, x.

Here are the steps for using cross multiplication to solve for x:

Step 1: Write the equation as:

a/b = c/d

Step 2: Cross-multiply by multiplying the numerator of one fraction by the denominator of the other fraction, and vice versa.

a × d = b × c

Step 3: Simplify the equation by combining like terms if possible.

Step 4: Solve for x by isolating it on one side of the equation.

Therefore, the cross multiplication steps has been explained

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Answer:

wyatt

Step-by-step explanation:

4:30 mins is 270 seconds

Answer:

A) 6x + 6y = 24, Yes, they have the same solution set

Step-by-step explanation:

Let's first start by multiplying the equation by 3:

(2*3)x + (2*3)y = 24

6x + 6y = 24

Now lets find the solution set for both:

6y = -6x + 24

y = -x +4

2y = -2x + 8

y = -x +4

Yes, they have the same solution set

Pauline needs to work for 75 hours to make $600

Given that Pauline worked 35 hours and made $280, this can be written as:

35 hours = $280

If Pauline’s company makes $600 a week, this can be expressed as:

x = $600

35/x = 280/600

35/x = 28/60

28x = 35 * 60

28x = 2100

x = 2100/28

x = 75

This means that Pauline needs to work for 75 hours to make $600

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Answer:

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

6 x 7 = 42

If the length of the cushion measures 12 in, the width measures 10 in, and the height measures 3 in, 372 sq in. fabric Greg needed to cover the cushion. The correct option is C, 372 sq in.

To determine the amount of fabric needed to cover the cushion, we need to calculate the surface area of the cushion. The surface area of a rectangular cushion is given by the formula: 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the cushion.

Plugging in the given measurements, we get:

2(12 x 10) + 2(12 x 3) + 2(10 x 3) = 240 + 72 + 60 = 372 sq in.

Therefore, Greg needs 372 square inches of fabric to cover the cushion.

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The number of collisions per square inch of the larger container is \(1.342 × 10¹⁰ * T.\)

Given that there are 2850 molecules of the gas that collide with a square-inch area of the container at any given instant, we need to find out how many collisions will occur per square inch of this larger container when the volume is increased to 24.8 L at constant temperature.

We can use the ideal gas law formula\(PV = nRT\), where P is the pressure of the gas, V is the volume of the gas, n is the number of moles of gas, R is the universal gas constant, and T is the temperature of the gas. We assume that the gas is an ideal gas, which follows the ideal gas law at all conditions.

When the volume of the gas is increased to 24.8 L, the new pressure P2 can be found using the equation P1V1 = P2V2, where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume. Since the temperature is constant, P1 = P2.

The number of molecules or moles of gas is proportional to the volume of the gas. Therefore, the number of moles of gas (n) remains constant at constant temperature. The number of molecules of gas N can be calculated using N = n * NA, where NA is Avogadro's number and is equal to \(6.022 × 10²³\) molecules/mole.

The number of collisions per unit area is proportional to the pressure of the gas. We can calculate it using the equation P = N/V * kB * T, where kB is the Boltzmann constant.

The number of collisions per unit area in the new container can be calculated as \(P2 = N/V2 * kB * T.\)

Thus, the number of collisions per square inch of the larger container is given by

\(P2 * (24.8/6.20)² = \\(2850 * NA / 6.20) / (24.8/6.20) * kB * T =\\ 4 × P2 = 4 × (2850 * NA / 6.20) / (24.8/6.20) * kB * T = \\4 * 8.345 * 10¹⁰ * T / 24.8 = 1.342 × 10¹⁰ * T.\)

Answer: The number of collisions per square inch of the larger container is \(1.342 × 10¹⁰ * T.\)

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In the larger container, there will be approximately 713 collisions per square inch.

To determine the number of collisions per square inch in the larger container, we can use the concept of the ideal gas law and the ratio of the volumes.

First, let's calculate the initial number of collisions per square inch in the smaller container. We know that 2850 molecules collide with a square-inch area at any given instant.

To find the number of collisions per square inch in the larger container, we need to consider the ratio of the volumes. The initial volume is 6.20 L, and the final volume is 24.8 L.

The ratio of the volumes is:

24.8 L / 6.20 L = 4

Since the volume increased by a factor of 4, the number of collisions per square inch will decrease by the same factor.

Therefore, the number of collisions per square inch in the larger container will be:

2850 molecules / 4 = 712.5 collisions

However, it's important to note that the number of collisions cannot be expressed as a fraction. We need to round the result to the nearest whole number.

So, in the larger container, there will be approximately 713 collisions per square inch.

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Answer:

y = - 1

Step-by-step explanation:

Given

2y - 3(4y - 3) = 9y + 28 ← distribute and simplify left side

2y - 12y + 9 = 9y + 28

- 10y + 9 = 9y + 28 ( subtract 9y from both sides )

- 19y + 9 = 28 ( subtract 9 from both sides )

- 19y = 19 ( divide both sides by - 19 )

y = - 1

Answer:

if;3=1.98 what about 2

3-1.98

2-?

2×1.98÷3=$1.32

The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

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Answer:

I can help you but first I need the rest of the answers to find out what's it equivalent to.

Answer:

For 6 chairs, 72 screws and for 9 chairs, 108 screws.

Step-by-step explanation:

So, for every 2 chairs, he needs 24 screws.

By Unitary Method,

We get screws needed for one chair, that is, 24/2 = 12 screws for one chair.

So, for 6 chairs,

Similarly, for 9 chairs,

Answer:

The ratios to this would be:

\(\left[\begin{array}{ccc}2&24\\6&72\\9&108\end{array}\right]\)

Step-by-step explanation:

Ratios are similar to fractions, in some ways, ratios are to show the relation between two numbers, such like a proportion:

For example:

4:3

or the ratio of men' jobs to women's' is 8 to 1 (8:1)

In this case, it is said that:

Gary needs 24 screws for every 2 chairs.

The ratio of this is 24: 2

Also meaning:

\(\frac{24}{2}\)

and \(2\sqrt{24}\), the quotient is = 13

Now we multiply 12 to '6' and '9'

You will get:

12(6) = 72

12(9) = 108

This will be your answer.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(x = -5\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Solving for 'x'...}}\\\\3(x+1)=12+4(x-1)\\----------\\\rightarrow 3x + 3 = 12 + 4x - 4\\\\\rightarrow 3x + 3 = 12 -4+4x\\\\\rightarrow 3x + 3 = 8 + 4x\\\\\rightarrow 3x + 3 = 4x + 8\\\\\rightarrow3x + 3 -3 = 4x + 8 - 3\\\\\rightarrow 3x = 4x + 5\\\\\rightarrow 3x - 4x = 4x - 4x + 5\\\\\rightarrow -x = 5\\\\\rightarrow \frac{-x=5}{-1}\\\\\rightarrow \boxed{x = -5}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

3(x+1)=12+4(x-1)

3(x+1)=8+4x

3x+3=8+4x

3x+3−4x=8

-x+3=8

-x=8-3

-x=5

-x(-1)=5(-1)

-x(-1)=-5

x=-5

Answer:

Sorry dude I don't know the answer.

Using a calculator, it can be found that

Rounding to three decimal places,

Answer:

11 or exact is 10.8 ft.

Step-by-step explanation:

we do 2.7*4 to find the length of the actual car

since 1 inch is 4 feet in real life.

2.7 would be 2.7*4 feet in real life

2.7*4 = 10.8 which is rounded to the nearest foot, 11.

Answer:

10.8

Step-by-step explanation:

model: real life

1 inch : 4 ft

The model is 2.7 inches

Multiply by 2.7 inches

model: real life

1 *2.7  : 4 *2.7

2.7 in : 10.8 ft

The expected number of winning tickets in fifty years is 18.25.

If there is a series of n independent Bernoulli trials, then each of the trials will have a probability of success i.e p. The expected value of the binomial distribution E( n, p) is the product of n and p

Using the above formula we will solve given problem given below

Here we have

In a certain lottery game, the chance of getting a winning ticket is exactly one in a thousand i.e p = [ 1/1000]  

Given that a person buys one ticket each day (except on the leap year day February 29) over a period of fifty years.

As we know 1 year = 365

No of tickets that can be bought in fifty years (n)= 50 × 365 = 18250

Given that, the chance of winning = [ 1/1000]  = 0.001

=> p = 0.001

Chance of winning 50 years = 18250 × 0.001 = 18.25  

Therefore,

The expected number of winning tickets in fifty years is 18.25.

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