the floor of a building consists of 2000 tiles which are rhombus shaped and each of is diagonal is 40 cm and 25 cm in length. find the total cost of polishing the floor, if the cost per m² is $5​.

WHAT IS THE TOTAL COST

ANSWER QUICK

No, it does not make any sense to say that the density of helium is  0.1785 kilograms per square meter.

No, it does not make any sense to say that the density of helium is  0.1785 kilograms per square meter.

The reason why it doesn't make sense is because density of helium, and all the rest of the chemical elements are calculated as;

Density = mass/volume

where;

mass is measured in kilograms.

volume is measured in cubic meter.

Thus, the density of the helium should be expressed as 0.1785 kilograms per cubic meter.

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The future value of the monthly deposit which earns 0.475 monthly interest will be $10,944.67 after 16 months.

The future value can be determined using the future value annuity formula or an online finance calculator.

The future value represents the periodic deposits compounded periodically at an interest rate.

N (# of periods) = 16 months

I/Y (Interest per year) = 5.7% (0.475% x 12)

PV (Present Value) = $0

PMT (Periodic Payment) = $660

Results:

Future Value (FV) = $10,944.67

The sum of all periodic payments = $10,560.00

Total Interest = $384.67

Thus, using an online finance calculator, the future value of the monthly deposits is $10,944.67.

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M(-1, 2), p(-2,-4)

x-coordinate:

-1= \(\frac{-2+x}{2}\)

-2= -2+x

x= -2+2

x=0

y-coordinate:

2= \(\frac{-4+y}{2}\)

4= -4+y

y= 4+4

y= 8

∴ q(0, 8)

Answer:

Dilation. a transformation in which a figure grows larger. Dilation may be with respect to a point (dilation of a geometric figure) or with respect to the axis of a graph (dilation of a graph). Center of Dilation. the center of dilation is a fixed point in the plane.

Step-by-step explanation:

The component form of the sum of u and v with direction angles is u + v = (10√2 - 50)i + 10√2 j.

We are given the magnitudes and direction angles of vectors u and v. We need to find the component form of their sum.

Let's first convert the given magnitudes and direction angles to their corresponding components. For vector u:

|u| = 20, θu = 45°

The x-component of u is given by:

ux = |u| cos(θu) = 20 cos(45°) = 10√2

The y-component of u is given by:

uy = |u| sin(θu) = 20 sin(45°) = 10√2

Therefore, the component form of vector u is:

u = 10√2 i + 10√2 j

Similarly, for vector v:

|v| = 50, θv = 180°

The x-component of v is given by:

vx = |v| cos(θv) = -50 cos(180°) = -50

The y-component of v is given by:

vy = |v| sin(θv) = 50 sin(180°) = 0

Therefore, the component form of vector v is:

v = -50 i + 0 j

The component form of the sum of u and v is given by the sum of their x- and y-components:

u + v = (10√2 - 50) i + (10√2 + 0) j

Simplifying, we get:

u + v = (10√2 - 50) i + 10√2 j

Therefore, the component form of the sum of u and v is:

u + v = (10√2 - 50) i + 10√2 j

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The question is -

Find the component form of the sum of u and v with the given magnitudes and direction angles θu and θv.

| | u | | = 20 , θu = 45° | | v | | = 50 , θv = 180°.

if the correlation between x and y is equal to -1.0, then we know that the prediction of y by x is perfect

The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.

The correlation coefficient, r , gives us information about the strength and direction of a linear relationship between any two variables. (r > 0 is a positive correlation, r < 0 is negative, and |r| closer to 1 means a stronger correlation.

The larger r is in absolute value, the stronger the relationship is between the two variables.

If r is the correlation between two variables x and y then -r is the correlation between y and x

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Answer:

 4,3

Step-by-step explanation:

The distribution of X can be modeled as a geometric distribution with parameter p, where p is the probability of drawing an ace on any given draw.

Initially, there are 4 aces in a deck of 52 cards, so the probability of drawing an ace on the first draw is 4/52.

After the first draw, there are 51 cards remaining, of which 3 are aces, so the probability of drawing an ace on the second draw is 3/51.

Continuing in this way, we find that the probability of drawing an ace on the kth draw is (4-k+1)/(52-k+1) for k=1,2,...,49,50, where k denotes the number of draws.

Therefore, we have:

- P(X=10) = probability of drawing 9 non-aces followed by 1 ace

               = (48/52)*(47/51)*(46/50)*(45/49)*(44/48)*(43/47)*(42/46)*(41/45)*(40/44)*(4/43)

               ≈ 0.00134

- P(X=50) = probability of drawing 49 non-aces followed by 1 ace

               = (48/52)*(47/51)*(46/50)*...*(4/6)*(3/5)*(2/4)*(1/3)*(4/49)

               ≈ \(1.32 * 10^-11\)

- P(X<10) = probability of drawing an ace in the first 9 draws

                = 1 - probability of drawing 9 non-aces in a row

                = 1 - (48/52)*(47/51)*(46/50)*(45/49)*(44/48)*(43/47)*(42/46)*(41/45)*(40/44)

                ≈ 0.879

Therefore, the probability of drawing an ace on the 10th draw is very low, and the probability of drawing an ace on the 50th draw is almost negligible.

On the other hand, the probability of drawing an ace within the first 9 draws is quite high, at approximately 87.9%.

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Answer:

B

Step-by-step explanation:

I'm pretty sure it's B, (please let me know if I'm wrong.)  

Colinear means to be on the same straight line, which they are.  

Coplanar means to be in the same plane, which they appear to be as well.

So yeah I'm pretty sure it's B.  

The weight of the astronaut with gear on the moon is 80 pounds.

The pull of gravity is different on Earth than on the Moon as gravity depends on factors such as the mass of the celestial body, the radius of the celestial body, and the density of the celestial body.

The pull of gravity on Earth = 10 m/s²

Thus, Given:

Weight of object on Earth: 25 pounds

Weight is described as the product of mass and the acceleration due to gravity

Thus, 25 = 10 * mass

mass = 2.5 unit

Weight of the object on the Moon: 4 pounds

4 = 2.5 * acceleration due to gravity on the moon

Acceleration due to gravity on the moon = 1.6 m/s²

Weight of astronaut with gear on earth = 500 pounds

500 = mass * 10

mass = 50 units

Weight of astronaut with gear on earth = 50 * 1.6

= 80 pounds

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Answer:

a ≤ 39 ≠ 1

Step-by-step explanation:

Answer:

f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ). Solution. Step 1. Find ( f – g ) ( x ). ( f – g ) ( x ) = f ...

Step-by-step explanation:

The density of glycerin at 60°C is approximately 19.9592 g/cm³.

To find the density of glycerin at 60°C, we can use the volume expansion coefficient and the given density at 20°C.

The formula for volume expansion is:

ΔV = β * V₀ * ΔT

where:

ΔV is the change in volume,

β is the volume expansion coefficient,

V₀ is the initial volume, and

ΔT is the change in temperature.

In this case, we want to find the change in density, so we can rewrite the formula as:

Δρ = -β * ρ₀ * ΔT

where:

Δρ is the change in density,

β is the volume expansion coefficient,

ρ₀ is the initial density, and

ΔT is the change in temperature.

Given:

ρ₀ = 20 g/cm³ (density at 20°C)

β = 5.1 x 10⁻⁴ °C⁻¹ (volume expansion coefficient)

ΔT = 60°C - 20°C = 40°C (change in temperature)

Substituting the values into the formula, we have:

Δρ = - (5.1 x 10⁻⁴ °C⁻¹) * (20 g/cm³) * (40°C)

Calculating the expression:

Δρ = - (5.1 x 10⁻⁴) * (20) * (40) g/cm³

≈ - 0.0408 g/cm³

To find the density at 60°C, we add the change in density to the initial density:

ρ = ρ₀ + Δρ

= 20 g/cm³ + (-0.0408 g/cm³)

≈ 19.9592 g/cm³

Therefore, the density of glycerin at 60°C is approximately 19.9592 g/cm³.

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Answer: E

Step-by-step explanation: On the y axis go 6 spaces up and E will be 6 spaces to the right.

Answer:

12

Step-by-step explanation:

\(|-5+3+(-10)|\\\\=|-2-10|\\\\=|-12|\\\\=12\)

At the 0.10 significance level, we conclude that there is a difference in the variation in the listening times for men and women so we reject H₀.

In statistical hypothesis testing, null and alternate hypotheses are utilized.

The alternative hypothesis of a test expresses your research's prediction of the an effect or relationship, whereas the null hypothesis of the a test necessarily predicts no effect or no association between variables.

According to the question;

n₁ = Sample size = 13

n₂ = Sample size = 9

σ₁ = Sample standard deviation = 11

σ₂ = Sample standard deviation = 13

α = Significance level = 0.10

Either the alternative hypothesis or the null hypothesis applies to the claim. The alternative hypothesis and the null hypothesis are mutually exclusive. The equality must be part of the null hypothesis.

Null : H₀ :  σ₁² = σ₂²

Alternative : H₁ : σ₁² ≠ σ₂²

​Using the Ftest, compute this test statistic as follows:

F-test = σ₂² / σ₁² = 13² / 11²

F-test = 169/ 121 = 1.39

Decision region :

Reject Null, H₀ ; if

Ftest < Fcritical

F critical at:

At α/2 = 0.10/2 = 0.05

df_numerator = 9 - 1 = 8

df_denominator = 13 - 1 = 12

Use F critical calculator :

Fcritical = 3.006

1.39 < 3.047

Therefore, the sample H₀ is rejected as Ftest is smaller than Fcritical.

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Answer:

need a image to answer this

Answer:

The answer is 20.

Step-by-step explanation:

The side that equals 4 is conguent to the line QR, the side that equals 6 is congruent to the line NP. Add the whole line up then it would equal 20.

85 foes in 272 3 times

.

.

.

.

El poste tiene una altura de aproximadamente 5.06 metros.

Para resolver este problema, utilizaremos la relación trigonométrica de la cotangente, ya que se nos da el valor de cotangente del ángulo de depresión (cotα= 4). La cotangente es la inversa de la tangente, por lo que podemos obtener el ángulo de depresión α utilizando la siguiente relación:

α = arccot(4)

Usando una calculadora, podemos encontrar que α es aproximadamente 14.04 grados.

Ahora, podemos utilizar la relación trigonométrica de la tangente para determinar la altura del poste. La tangente de α se define como la relación entre la altura del poste y la distancia al objeto en el suelo. La distancia al objeto es de 20 metros. Entonces, podemos escribir la ecuación de la siguiente manera:

tan(α) = altura del poste / 20

Sustituyendo el valor de α que obtuvimos anteriormente:

tan(14.04) = altura del poste / 20

Resolviendo esta ecuación, encontramos que la altura del poste es aproximadamente 5.06 metros.

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Answer:

three billion eight hundred million

Step-by-step explanation:

In light of this, the circle graph named "New York City Visitors' Transportation" is divided into five sections, each of which is labelled as follows: walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27%. As a result, choice c) is accurate.

Data can be represented in graphs in a number of different ways. There are several common graph types, including:

Bar chart

Scatter plot

Box plot.

Pie graph

We must ascertain the percentage of visitors who used each mode of transportation in order to represent the data in the table as a circle graph, also referred to as a pie chart.

To do this, divide the total number of visits by the sum of visitors and multiply the result by 100.

Total number of visitors: 120 + 24 + 45 + 30 + 81 = 300

The percentage of people who walk into a store is (120/300)/100, or 40%.

The percentage of tourists who rode bicycles was (24 x 300 x 100), or 8%.

The percentage of visitors who used the transportation service was 15% (45/300/100).

10% of visitors used a bus to get about (30 out of 300).

27% of the 300 visitors—or 81 out of the 300—took the subway.

This makes the circle graph headed "New York City visitor's transportation," which is divided into five sections and has the labels "walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27%," the most accurate representation of the data in the table.

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The complete question is:

A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.

Type of Transportation Number of Visitors

Walk 120

Bicycle 24

Car Service 45

Bus 30

Subway 81

Which of the following circle graphs correctly represents the data in the table?

circle graph titled New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent

circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent

circle graph titled New York City visitor's transportation, with five sections labeled subway 40 percent, bus 8 percent, car service 15 percent, bicycle 10 percent, and walk 27 percent

circle graph titled New York City visitor's transportation, with five sections labeled subway 80 percent, bicycle 20 percent, car service 30 percent, bus 16 percent, and walk 54 percent

a) In standard form, the simplified expression is 1.176 x \(10^{6}\). b) The solution to the simultaneous equations is x = 2 and y = 11. c) The solution to the double inequality -5 < 2x + 3 < 7 is -4 < x < 2.

a) To simplify the expression (2.8 x \(10^{3}\)) x (4.2 x \(10^{2}\)), we can multiply the coefficients and add the exponents.

(2.8 x \(10^{3}\)) x (4.2 x \(10^{2}\)) = (2.8 x 4.2) x (\(10^{3}\) x \(10^{2}\))

= 11.76 x \(10^{3+2}\)

= 11.76 x \(10^{5}\)

In standard form, the simplified expression is 1.176 x \(10^{6}\).

b) To solve the pair of simultaneous equations:

{8x - 2y = -6

{3x + y = 17

We can use the method of substitution or elimination to find the solution.

Let's use the elimination method by multiplying the second equation by 2 to eliminate the y variable:

{8x - 2y = -6

{6x + 2y = 34

Adding the two equations together, we get:

14x = 28

Dividing both sides by 14, we find:

x = 2

Substituting the value of x into the second equation:

3(2) + y = 17

6 + y = 17

Subtracting 6 from both sides, we have:

y = 11

Therefore, the solution to the simultaneous equations is x = 2 and y = 11.

c) To solve the double inequality:

-5 < 2x + 3 < 7

We can solve it by treating it as two separate inequalities:

-5 < 2x + 3 and 2x + 3 < 7

Solving the first inequality:

-5 - 3 < 2x

-8 < 2x

Dividing both sides by 2 (since the coefficient is positive), we get:

-4 < x

For the second inequality:

2x + 3 < 7

Subtracting 3 from both sides, we have:

2x < 4

Dividing both sides by 2 (since the coefficient is positive), we find:

x < 2

Therefore, the solution to the double inequality -5 < 2x + 3 < 7 is -4 < x < 2.

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The probability that exactly 10 are yellow out of 9 random selections is 0.

To calculate the probability of exactly 10 jelly beans being yellow out of 9 selected at random, we need to consider the total number of favorable outcomes (selecting exactly 10 yellow jelly beans) divided by the total number of possible outcomes (selecting any 9 jelly beans).

The total number of jelly beans in the box is 23 (yellow) + 33 (green) + 37 (red) = 93.

The number of ways to select exactly 10 yellow jelly beans out of 9 is 0, as we have fewer yellow jelly beans than the required number.

Therefore, the probability of exactly 10 yellow jelly beans is 0.

In this case, it is not possible to have exactly 10 yellow jelly beans out of the 9 selected because there are not enough yellow jelly beans available in the box.

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A box contains 23 yellow, 33 green and 37 red jelly beans. if 9 jelly beans are selected at random, what is the probability that: exactly 10 are yellow?

Answer:

The length is 12

Step-by-step explanation:

rectangle = 2w + 2l

Substitute 15 with w

2l + 2(15) = 54

Multiple

2l + 30 = 54

Subtract 30 from both side

2l = 24

divide by 2

l = 12

The simplest form   \(\frac{2\sqrt{3} }{\sqrt{6} }\) is \(\sqrt{2}\)

Step-by-step solution:

\(=\frac{2\sqrt{3} }{\sqrt{6} }\)

\(=\frac{2\sqrt{3} }{\sqrt{2*3} }\)              (write factors of \(\sqrt{6}\) i.e. \(\sqrt{2*3}\))

\(=\frac{2\sqrt{3} }{\sqrt{2}\sqrt{3} }\)

\(=\frac{2\ }{\sqrt{2}\ }\)

\(=\frac{2\ }{\sqrt{2}\ } * \frac{\sqrt{2} }{\sqrt{2} }\)        (Rationalize it by \(\sqrt{2}\))

\(=\frac{2\sqrt{2} }{2}\)

\(=\sqrt{2}\)

Therefore, the correct solution to this question is \(\sqrt{2}\)

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Two or more expressions with an Equal sign is called as Equation.  Price of each basket is 24.ice of each basket is 24.

Two or more expressions with an Equal sign is called as Equation.

Given A youth organization raised $15, 336 by selling gift baskets.

Martin's team sold : 48 baskets

Amy's team sold : 138 baskets

Sharon's team sold :77 baskets

Juan's team sold : 250 baskets

Dee's team sold : 126 baskets

Let x be the price of each basket.

Let us form a equation by given data

48x+138x+77x+250x+126x=$15, 336

639x=$15, 336

Divide both sides by 639

x=24

Hence price of each basket is 24.

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28.33 feet is the value of side BC.

Given two triangles AXY and ABC such that these triangles are similar triangles, Similar triangles are defined as triangles that have the same shape but possibly different sizes. Two triangles are considered similar if their corresponding angles are equal and the ratios of the lengths of their corresponding sides are proportional.

Since these triangles are similar triangles thus, the ratio of these triangles' sides are similar.

So,

BC/AB = XY/AX

BC/(12+8) = 17/12

BC = 17/12*20

BC = 85/3

BC = 28.33

therefore, The value of BC is 28.33 feet.

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Answer:

d

Step-by-step explanation: