What is EG?

Explain how you got it if you can

Answer:

Was it from goldenglare? Cuz that was disgusting

Answer:

i'm with u cause i saw something inappropriate earlier

Step-by-step explanation:

Answer: Median = 42

Mean = 43.8

Step-by-step explanation:

When we have a data set of n points {x₁, x₂, ..., xₙ}

The mean is written as:

(x₁ + ... + xₙ)/N

And the median will be the value in the middle of the data set.

So first, let's write our data set in order, from least to greatest.

{36, 36, 38, 40, 40, 40, 42, 42, 43, 45, 45, 48, 48, 70}

So we have 14 values.

The middle value will be at:

(n + 1)/2

(14 + 1)/2 = 7.5

Now, counting from the left, we have that the 7.5th value is 42. (the 7th value is 42, and the 8th value is 42)

So the median is 42.

Now the mean:

M = (36 + 36 +38 +40+40+40+ 42 +42 + 43 + 45 + 45 + 48 + 48 + 70)/14

M = 43.8

Answer:

n word

Step-by-step explanation:

Step-by-step explanation:

Since the two triangles are congruent this means that corresponding angles are congruent so

Angle X= Angle M

Angle Y equal Angle N

Angle Z equal Angle L.

That means that Angle M is 33 degrees.

Angle Y is 124 degrees.

We can find Angle Z by doing triangle interior theorem.

\(124 + 33 + x = 180\)

\(157 + x = 180\)

\(x = 23\)

So Angle Z equal 23.

Congruent triangles also have corresponding sides that are equal so that means

XY=MN

YZ=NL

XZ= ML

So that means XY=8

Answer:

x = 19

Step-by-step explanation:

I think you are on the right track. Below is the way I would approach it:

1. Expland the brackets

2. Collect like terms

3. Make x the subject

Let me know if you want the working out. Hope this helps.

Answer:

A=45°

Step-by-step explanation:

soln:

given,

ABC is a right angled triangle where C is right angle

i.e. C=90°

sin A= sin B=x(let)

A=?

we know,

A+B+C=180°[°•°sum of angles of a triangle]

or, x+x+90°=180°

or,2x=90°

•°•x=45°

hence,A=45°

The volume of water filled in the bath tub is 6 feet × 2 feet × 2.2 feet = 26.4 cubic feet. You need 11.83 minutes in the shower to use as much water as the bath.

The volume of water filled in the bath tub is 6 feet × 2 feet × 2.2 feet = 26.4 cubic feet.

The amount of water used in shower = flow rate × time = 2.23 gallons/minute × 8 minutes = 17.84 gallons

Let's convert gallons to cubic feet: 1 cubic foot = 7.5 gallons

17.84 gallons = 17.84/7.5 cubic feet = 2.378 cubic feet

The volume of water used in the shower is 2.378 cubic feet. The volume of water used for taking a bath is 26.4 cubic feet.

To calculate how many minutes one would need in the shower to use as much water as the bath, divide the volume of water used in taking a bath with the amount of water used per minute in the shower as shown:

26.4/2.23=11.83 min

Therefore, one needs 11.83 minutes in the shower to use as much water as the bath.

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Answer:

16x+24y

Step-by-step explanation:

8(2x+3y)

8*2x+8*3y

16x+24y

The strengths of this study design are:1. Randomization: It is the method of randomly assigning patients to either experimental or control groups. Randomization guarantees that groups would be equal in every respect except for the variable that is being studied.2. Placebo Control: A placebo control group makes it possible to identify the difference between the true effect of the treatment and the effect of other variables that are not being tested.3. Double-blind: When an experiment is double-blind, the experimenter and the patient do not know which group is which. This is important since experimenter bias and expectancy effects can be controlled in the study.

Jonas Salk conducted a large-scale controlled experiment involving over 400,000 children in 1954 to test the effectiveness of a polio vaccine. Children in the control group were injected with salt water (a placebo), while children in the experimental group were injected with the polio vaccine. Every test subject was followed for six months, and the experiment was double-blind, meaning that neither the participants nor the researchers knew to which group each child was assigned.Jonas Salk's primary goal in conducting the vaccine trial was to reduce the number of polio infections in the United States. Polio had become a major public health issue, with thousands of children being infected each year. The vaccine trial's outcomes confirmed the effectiveness of the vaccine, and it became one of the most important scientific breakthroughs in modern medicine.

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A scientist recorded the duration of the eruptions of the Old Faithful geyser in Yellowstone National Park that occurred during a one-month time period. The histogram below shows the distribution of the duration, in seconds, of the eruptions. By analyzing this data, the scientist can gain a better understanding of the behavior of the Old Faithful geyser and potentially make predictions about future eruptions.

The histogram shows that the majority of the eruptions had a duration between 120 and 140 seconds. There were also a significant number of eruptions with a duration between 100 and 120 seconds, and between 140 and 160 seconds.

It can also help them identify any unusual eruptions that may have a significantly shorter or longer duration than the majority of the eruptions
This data can help the scientist understand the typical duration of eruptions at the Old Faithful geyser in Yellowstone National Park..

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\( \sf \: \frac{5}{8} < \frac{3}{8} x - \frac{1}{4}\)

\(\sf \longmapsto \frac{5}{8} < \frac{3}{8} x + \frac{ - 1}{4} \)

\(\sf \longmapsto \frac{3}{8} x + \frac{ - 1}{4 } > \frac{5}{8} \)

\(\sf \longmapsto \frac{3}{8} x + \frac{ -1 }{4} + \frac{ - 1}{4} > \frac{5}{8} + \frac{1}{4} \)

\(\sf \longmapsto \frac{3}{8} x > \frac{7}{8} \)

\(\sf \longmapsto( \frac{8}{3} ) \times (\frac{3}{8} x) > (\frac{8}{3} ) \times ( \frac{7}{8} )\)

\(\sf \longmapsto \: x > \frac{7}{3} \)

Answer: x=<4

Step-by-step explanation:

Answer: the answer is 180 \(in^{2}\)

Step-by-step explanation:

Area of a rectangle multiply length times base. 15 x 12 = 180. Hope this helps!

The appropriate regression model depends on the stationarity properties of both the dependent and independent variables, as well as the error term. The researcher can use a standard OLS regression model with first-order differencing of both Y and X.

In the first scenario, both Y and X are I(0), which means they are stationary time series. In this case, the researcher can perform a standard linear regression analysis, as the stationary series would lead to a stable long-run relationship. The answer from this model will be reliable and less likely to suffer from spurious regressions. In the second scenario, Y is I(2) and X is I(0). This implies that Y is integrated of order 2 and X is stationary. In this case, the researcher should first difference Y twice to make it stationary before performing a regression analysis. However, this approach might not be ideal as the integration orders differ, which can lead to biased results.

In the third scenario, Y and X are both I(1) and the error term is I(0). This indicates that both Y and X are non-stationary time series, but their combination might be stationary. The researcher should employ a co-integration analysis, such as the Engle-Granger method or Johansen test, to identify if there is a stable long-run relationship between Y and X. If co-integration is found, then an error correction model can be used for more accurate predictions.

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Answer: (7,10)

Step-by-step explanation:

Investment X earns the greater amount of interest over a period of 2 years.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = PRT

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

Let's consider that Ian invests in X, then:

Principle amount, P = $6,000
Time, T = 2 Years

Rate of Interest, R = 4.5% at simple Interest = 0.045

The interest earned is:

Interest = PRT = $6,000 × 0.045 × 2 = $540

Now, consider that Ian invests in Y, then:

Principle amount, P = $6,000
Time, n = 2 Years

Rate of Interest, R = 4% at Compound Interest = 0.04

The interest earned is:

Interest = P(1+R)ⁿ - P

            = $6,000(1+0.04)² - $6,000

            = $489.6

Since $540>$489.6, therefore, Investment X earns the greater amount of interest over a period of 2 years.

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Answer:

see explanation

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

We require to find a₁ and d

given a₃ = 2 and a₅ = 32 , then

a₁ + 4d = 32 → (1)

a₁ + 2d = 2 → (2)

subtract (2) from (1) term by term to eliminate a₁

0 + 2d = 30

2d = 30 ( divide both sides by 2 )

d = 15

substitute d = 15 into (2) and solve for a₁

a₁ + 2(15) = 2

a₁ + 30 = 2 ( subtract 30 from both sides )

a₁ = - 28

Then

\(a_{n}\) = - 28 + 15(n - 1) = - 28 + 15n - 15 = 15n - 43

Explicit formula is \(a_{n}\) = 15n - 43

------------------------------------------------

A recursive formula allows a term in the sequence to be found by adding d to the previous term, that is

\(a_{n}\) = \(a_{n-1}\) + 15 ; a₁ = - 28

The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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If  the price of a used car is discounted $200 each week then the grapg will be linearly decreasing in nature

A linear graph can be either increasing, decreasing or constant.

Here the price of the car is being discounted $200 every week, so as the number of weeks increase, the price of the car decreases

So, the graph for this situation will be linearly decreasing.

The slope of this kind of graph is negative/

Therefore, If  the price of a used car is discounted $200 each week then the grapg will be linearly decreasing in nature

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Step-by-step explanation:

3/4 * 24

=>72/4

=> 18

7 * 2 1/7

=> 7×15/7

=> 105/7

=> 15

17 * 1/3 =

=> 17/3

=> 5.666666666

=> 5.7

9 * 4 1/3

=> 9 × 13/3

=> 117/3

=> 39

1/2 * 2 1/4

=> 1/2 × 9/4

=> 9/8

=> 1.125

7 1/2 * 1 1/3

=> 15/2 × 4/3

=> 60/6

=> 10

6 2/3 * 2 1/4

=> 20/3 × 9/4

=> 180/12

=> 15

2 2/3 * 3 1/8

=> 8/3 × 25/8

=> 200/24

=> 8.333333333333333

3/7 * 5 1/4

=> 3/7 × 21/4

=> 63/28

=> 2.25

The probability is\($\boxed{\frac{1}{3}}$.\)

To find the probability that the product of two numbers chosen from {3, 4, 5, 6} is a multiple of 9, we first need to determine the total number of possible pairs of numbers that can be chosen without replacement from this set.

There are \($\binom{4}{2} = 6$\) ways to choose two numbers from the set. These pairs are:

(3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6)

Next, we need to determine which of these pairs have a product that is a multiple of 9. A number is a multiple of 9 if and only if it is divisible by 9, so the product of two numbers is a multiple of 9 if and only if at least one of the numbers is a multiple of 3.

From the set {3, 4, 5, 6}, only the numbers 3 and 6 are multiples of 3. Therefore, the pairs with a product that is a multiple of 9 are:

(3, 6), (6, 3)

Note that we have listed both (3, 6) and (6, 3) because the order in which the numbers are chosen does not matter.

Therefore, the probability that the product of two numbers chosen from {3, 4, 5, 6} is a multiple of 9 is:

\(\frac{number of pairs with product divisible by 9 }{total number of pairs} = \frac{2}{6} =\frac{1}{3}\)

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Answer:

y= x+1/2, (-4,1)

y= x+6, (-1,-3)

y= x - 9, ( 0,0)

Substituting a cumulative area of 0.2420, a mean of 0, and a standard deviation of 1 into the inverse normal distribution, the z-score is -0.71 to two decimal places.

Given that the cumulative area of 0.2420, a mean of 0, and a standard deviation of 1, the required z-score has to be determined.We know that the standard normal distribution with mean 0 and standard deviation 1 is denoted as N(0, 1). The inverse normal distribution with a cumulative area of x is the inverse of the normal distribution with cumulative area x. Let z be the z-score corresponding to a cumulative area of x, then we can say that P(Z ≤ z) = x, where P is the cumulative distribution function of the standard normal distribution.

Substituting the given values in the formula, we get:0.2420 = P(Z ≤ z)We need to find the corresponding z-value using inverse normal distribution. Therefore, we take the inverse of the cumulative distribution function, as follows:z = invNorm(0.2420)z = -0.71 (rounded to two decimal places)Thus, the required z-score is -0.71.

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So the amount of gain that can be deferred under the installment sale method is $424,879.16.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.

Here,

To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.

Selling price = $99,800 cash + $998,000 note = $1,097,800

Adjusted basis = $798,400 - $479,040 = $319,360

Total gain = $1,097,800 - $319,360 = $778,440

To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:

Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%

Now we can calculate the amount of gain that can be deferred using the formula:

Gain deferred = Gross profit percentage × Payments received

Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:

$99,800 + ($998,000 / 2) = $598,800

Substituting into the formula, we get:

Gain deferred = 0.7097 × $598,800 = $424,879.16

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The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Answer:

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

Step-by-step explanation:

let the denominator of the original fraction be x, then

\(\frac{x-2}{x}\) ← original fraction

Then

\(\frac{2(x-2)}{x+5}\) ← new fraction

The product of original and reciprocal of new is

\(\frac{x-2}{x}\) × \(\frac{x+5}{2(x-2)}\) ← cancel (x - 2)

= \(\frac{x+5}{2x}\) = \(\frac{1}{4}\) ( cross- multiply )

4(x + 5) = 2x

4x + 20 = 2x ( subtract 2x from both sides )

2x + 20 = 0 ( subtract 20 from both sides )

2x = - 20 ( divide both sides by 2 )

x = - 10

Then original fraction

\(\frac{x-2}{x}\) = \(\frac{-12}{-10}\) = \(\frac{6}{5}\)

The total capacity of the big school bus is 140 children.

To find out how many children can fit into the big school bus, let's work through the given information step by step.

When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.

After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.

Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:

(2/7) * x = 40

To solve for 'x', we can multiply both sides of the equation by (7/2):

x = 40 * (7/2)

x = 140

Therefore, the total capacity of the big school bus is 140 children.

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