The price of a refrigerator is Rs 66,400 after including GST at the rate of 17% . what is the amount of GST.

need totally explanation ​

Answer:

( x− 2 ) ( x + 4 )

Step-by-step explanation:

Answer:

\( {x}^{2} + 2x - 8 \\ sum = 2 \: and \: product = - 8 \\ factors = 4 \: and \: - 2 \\ = > {x}^{2} + 4x - 2x - 8 \\ = x(x + 4) - 2(x + 4) \\ = (x - 2)(x + 4)\)

The statistical procedure used to describe the strength and direction of the linear relationship between two factors is called correlation analysis.

Correlation analysis is a statistical technique that examines the relationship between two variables to determine the strength and direction of their association. It focuses specifically on the linear relationship between the variables, which means it assumes that the relationship can be represented by a straight line.

The result of a correlation analysis is often expressed as a correlation coefficient, which measures the degree of association between the variables. The correlation coefficient ranges from -1 to 1, where:

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a consistent manner.

A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable also increases in a consistent manner.

A correlation coefficient close to 0 indicates a weak or no linear correlation between the variables.

Correlation analysis helps to understand the relationship between variables and can provide insights into patterns, trends, and dependencies in the data. However, it is important to note that correlation does not imply causation, meaning that a strong correlation between two variables does not necessarily imply that one variable causes the other to change.

In addition to determining the correlation coefficient, correlation analysis can also involve generating a scatter plot to visualize the relationship between the variables and conducting hypothesis tests to assess the statistical significance of the correlation.

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Answer:

370 meters.

Step-by-step explanation:

To find perimeter, you have to add it's length and width on ALL sides. Therefore 120+120=240+65=305+65=370 meters.

Answer:

370m

Step-by-step explanation:

Perimeter of a rectangle = 2(Length + Width)

Perimeter of a rectangle =2(120m+65m)

Perimeter of a rectangle =240m+130m

Perimeter of a rectangle = 370m

Answer:

Step-by-step explanation:

hope this helps!

As the answer is an histogram, you can see it in the image added.

A histogram is an approximate representation of the distribution of numerical data. A histogram is a graph that shows the frequency of numerical data using rectangles. The height of a rectangle (the vertical axis) represents the distribution frequency of a variable (the amount, or how often that variable appears).

here, we have,

An histogram is a graphical representation of data vs frequency.

On the x-axis we have de data. In this case the data are the number of hours that Trey worked during each of his eight shifts last pay period, 2.0,1.8, 4.6,1.1, 7.5,1.5,4.0,1.8. We need this data in order, so:

1.1

1.5

1.8

1.8

2.0

4.0

4.6

7.5

The data 1.8 is the only one that happened 2 times during his eight shifts.

So the frequency is 2. The frecuency of the other shifts is 1.

Now we have the elements to create the histogram.

On the x-axis we place the different hours of the shifts.

On the y-axis we place the frequency each hour occurred during the last pay period.

y(Frequency)

3|

2|

1|

--------------------------------------------------------------------------------> x (Hours)

    1.1    1.5   1.8    2.0 4.0 4.6                  7.5  

The histogram is added below.

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Complete question:

Below is the number of hours that Trey worked during each of his eight shifts last pay period. \begin{aligned} &2.0, 1.8, 4.6, 1.1, \\ &7.5, 1.5, 4.0, 1.8 \end{aligned} ​ 2.0,1.8,4.6,1.1, 7.5,1.5,4.0,1.8 ​ Using the data, create a histogram..

The  least common denominator of 7/9 and 2/3 is 9

To find the least common denominator of 7/9 and 2/3, we need to find the smallest multiple that both denominators share.

The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, ...

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

We can see that the smallest multiple that both denominators share is 9.

To convert 7/9 and 2/3 to have a denominator of 9, we need to multiply the numerator and denominator of 7/9 by 1 (which is equivalent to 9/9), and the numerator and denominator of 2/3 by 3:

7/9 * 1 = 7/9

2/3 * 3/3 = 6/9

Now both fractions have a denominator of 9, so we can compare them easily:

7/9 and 6/9

Therefore, the least common denominator of 7/9 and 2/3 is 9.

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Since the diagram shows a right triangle and gives out some measurements of the sides, you can use the Pythagorean Theorem (\(a^{2}+b^{2}=c^{2}\)) to find the length of MP.

Given:

hypotenuse = 7  – because the radius is 7 units and it can be used as the hypotenuse

One side of the triangle = 4  – because the length of PO is 4 units and it can be used as one sides of the triangle

To Solve:

Since we know two values of the triangle, you can use the Pythagorean Theorem (\(a^{2}+b^{2}=c^{2}\)) to find what the other value is. The variables c and b in the formula are already given, and we need to find what a is to find the length of MP. So, plug the given values of c and b into the formula:

\(a^{2}+4^{2}=7^{2}\)

Simplify:

\(a^{2}+16=49\)

Subtract 16 from both sides of equation:

\(a^{2}=33\)

Do the square root of both sides to isolate the variable a:

\(\sqrt{a^{2}}=\sqrt{33}\)

Evaluate:

\(a=\sqrt{33}\)  Which simplifies to \(a= 5.744562646....\) and round it to the nearest tenth to finally get \(a=5.7\)

Answer: The length of MP is 5.7 units

If you look at the diagram in the question, you can see that the length of MN is twice the length of MP. So multiply the length of MP, which is 5.7, by 2:

5.7 · 2 = 11.4

Answer: The length of MN is 11.4 units

___________________________________________________________

Look at the first image below ↓

Description of the first image:

The first image shows a drawn image of the circle with labeled parts and measurements from the infomation given from the question.

The diameter is 26cm, which means that the radius is 13cm because the radius half of the diameter in a circle. The very top line is the surface of the water where it’s filled and it has a length of 20cm. Side b of the triangle is 10cm becuase it’s half the length of the the surface of the water bowl. The hypotenuse (side c) is 13cm because it’s the length of the radius. And side a is what what we need to find because it’s the distance between the surface of the water and the center of the bowl. But after when you find the length of side a, you need to add the length of the radius (which is 13cm) to the length of side a because that’s the rest of the length/depth of the water that’s filled in the bowl. The length of the radius is included with the depth of the water.

Total information given:

⇒ radius = 13cm  – because the radius is half of the diameter, and the diameter has a length of 26cm

⇒ length of the surface where the water’s filled = 20cm

⇒ hypotenuse (side c) = 13cm  – because it’s the length of the radius

⇒ side b = 10cm  – because it’s half the length of the surface where the water’s filled

To Solve

Since there is a right triangle shown in the image, you can use the Pythagorean Theorem  (\(a^{2}+b^{2}=c^{2}\)) to find the missing length of side a. Plug the given values of c and b into the formula:

\(a^{2}+10^{2}=13^{2}\)

Simplify:

\(a^{2}+100=169\)

Subtract 100 from both sides of the equation:

\(a^{2}=69\)

Do the square root of both sides to isolate the variable a:

\(\sqrt{a^{2}}=\sqrt{69}\)

Evaluate:

\(a=\sqrt{69}\)  Which simplifies to \(a= 8.30662386....\)  and round it to the nearest tenth to finally get \(a\) ≈ \(8.3\)

This means that 8.3 is just the length of side a, which is the length between the surface of where the water’s filled and the center of the circle. But, now you need to add 13 to 8.3 to find the total depth of the water because the length of the radius is included with the depth of the water.

So,

13 + 8.3 = 21.3

Answer: The depth of the water is approximately 21.3 cm

Sorry for the very, VERY long explanation and the long solving process, but I really, really hope you understand and that this helps with your question! :)

Answer:

The answer is $1.56

Step-by-step explanation:

12.48÷8 = 1.56

Answer:

14.8

Step-by-step explanation:

The value of m∠T in the triangle is 65°

The congruence of any two figures is generally understood as two figures which can perfectly overlap each other. Congruent triangles are triangles that are perfect copies of one another.

Given: ΔABC and ΔRST

If the two triangles ABC and RST are arranged, two angles and a side of one are respectively equal to two angles and the corresponding side of the other (AAS). Thus, the triangles are congruent. This implies:

∠A = ∠R, ∠B = ∠S,  |AB| = |RS| .Also, ∠C = ∠T, |AC| = |RT| and |BC| = |ST|

Thus, <R = 41°, ∠S =  74°,

<R + ∠S + ∠T  =  180° (Sum of angle in a triangle)

41 +  74 + ∠T  =  180

115 + ∠T  =  180

∠T  =  180 - 115

∠T = 65°

Therefore, m∠T = 65°

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Answer:

The answer is -512

Step-by-step explanation

8*8*8= 512 and the cube root of 512 is 8 and the cube root answer is negative so 512 is negative

Step-by-step explanation:

option A is correct answer

Answer:

Should be C if not then A

Step-by-step explanation:

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

Answer:

$8.46

Step-by-step explanation:

pears = $3.76

oranges = $1.58

peaches = $3.12

(i believe this is correct but I am not 100% sure)

Answer:

the answer is 2*5 (I didn't have the simple so I used*)

Answer:

x = 5

Step-by-step explanation:

1. Distributive Property

(Do what's in the parenthesis first)

4x - 2x + 6 = -4 + 5x - 5

2. Combine Like Terms

2x + 6 = -9 + 5x

3. Take away 6 on both sides

2x + 6 - 6 = -9 - 6 +5x

It will give u.....

2x = -15 + 5x

4. Subtract 5x on both sides

2x - 5x = -15

It will give u.....

-3x = -15

5. Divide by -3 on both sides to isolate the variable

-3x / 3 = -15/-3

Now you get....

x = 5

2 negatives make a positive

Thats ur answer

Hope this helped!

Answer:

Area = 108

Step-by-step explanation:

A = base * height

A = 20 * 9 = ?

A = 20 * 9 = 108

It would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.

To determine the number of years it will take for an investment of $100,000 at a 7% annual interest rate to grow to $500,000, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment ($500,000)

P = the initial principal amount ($100,000)

r = the annual interest rate (7% or 0.07)

n = the number of times that interest is compounded per year (assuming annually, so n = 1)

t = the number of years

Plugging in the values we know, we get:

$500,000 = $100,000(1 + 0.07/1)^(1*t)

Dividing both sides of the equation by $100,000 and simplifying:

5 = (1.07)^t

To solve for t, we can take the logarithm of both sides:

log(5) = log[(1.07)^t]

Using logarithmic properties, we can bring down the exponent:

log(5) = t * log(1.07)

Finally, we can solve for t by dividing both sides by log(1.07):

t = log(5) / log(1.07)

Using a calculator, we find:

t ≈ 19.65

Therefore, it would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.

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Answer: Her brother is 5 years old.

Step-by-step explanation:

s = 2b

4b + 3b = 35

7b = 35

First, I used s to represent Sarah's age. We are told that she is twice her brother, I used b to represent her brother's age. The sum of twice her age is 4 times her brother's age (2b + 2b) and 3 times her brother's age is 3b.

Part A = The possible outcomes of each roll are the integers 1 to 6, with an equal chance of 1/6 for each number to appear.

Part B = Confidence Interval ≈ (0.201, 0.379)

Part C = The confidence interval does support Isaiah's suspicions that the die may not be fair, as it suggests a higher probability of landing on 5 compared to a fair die.

Explanation =

Part A: Simulation to Test Die Rolls :-

To simulate the rolling of a fair die, we can use a random number generator to mimic the outcomes.

Here's a step-by-step description of the simulation:

1) Representation: Let's represent each die roll as an integer from 1 to 6, with 1 representing a roll showing one dot, 2 for two dots, and so on, up to 6 for six dots.

2) Possible Outcomes: The possible outcomes of each roll are the integers 1 to 6, with an equal chance of 1/6 for each number to appear. For this simulation, we will specifically track how many times the die lands on the number 5.

3) Simulation Procedure:

a. Initialize a counter to zero, which will track the number of times the die lands on 5.

b. Repeat the following steps 100 times (representing 100 die rolls):

i. Generate a random number between 1 and 6, representing the result of the die roll.

ii. If the generated number is 5, increment the counter by 1.

4) Interpretation: After the simulation is completed, the value of the counter will represent the number of times the die landed on the number 5 out of the 100 rolls.

Part B: Constructing the 95% Confidence Interval :-

To construct the 95% confidence interval for the true proportion of rolls that will land on the number 5, we can use the formula for a confidence interval for proportions:

Confidence Interval = \(\pi \pm Z \times \sqrt{\frac{\pi(1-\pi)}{n}\)

Where,

π is the observed proportion of successes (rolling a 5) in the sample (total of 29/100).

Z is the critical value for a 95% confidence level (approximately 1.96 for a large sample size).

n is the sample size (100 rolls in this case).

Now, let's calculate the confidence interval:

π = \(\frac{29}{100}\)

π = 0.29

Z = 1.96

n = 100

Confidence interval = \(0.29 \pm 1.96 \times \sqrt{\frac{0.29(1-0.29)}{100}\)

= \(0.29 \pm 1.96 \times \sqrt{\frac{0.29 \times 0.71 }{100}\)

= \(0.29 \pm 1.96 \times \sqrt{\frac{0.2059}{100}\)

= \(0.29 \pm 1.96 \times 0.04537\)

Therefore,

Confidence Interval ≈ (0.201, 0.379)

Part C: Interpretation of the Confidence Interval :-

The 95% confidence interval for the true proportion of rolls landing on the number 5 is approximately (0.201, 0.379).

This means that based on the data from the simulation, we are 95% confident that the true proportion of rolls resulting in a 5 lies between 20.1% and 37.9%.

Isaiah's suspicion is that the die landed on the number 5 more often than usual. Since the lower bound of the confidence interval is 20.1%, which is above 0 (no rolls with a 5), it suggests that the true proportion of rolls resulting in a 5 could be higher than expected.

Therefore, the confidence interval does support Isaiah's suspicions that the die may not be fair, as it suggests a higher probability of landing on 5 compared to a fair die.

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If ∠EDH is congruent (∅≅) to ∠EDG in circle D, it means that the two angles have the same measure. Therefore, the measure of ∠EDH is equal to the measure of ∠EDG.

Since no specific angle measurement is provided in the question, I cannot determine the exact measure from the given options (114°, 123°, 228°, 246°). However, if ∠EDH ≅ ∠EDG, then they must have the same measure, which is unknown in this context.

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Answer:

1. B

2. E

3. D

4. B

5. C

6. B

7. E

8. D

9. D

10.D

11. E

i hope this helps you.

The coordinate of the midpoint of the segment with the given endpoints is (-1, 0)

The midpoint of a line is the point that divides the line into two equal parts.

The formula for calculating the midpoint is expressed as;

M(x, y) = (x₁+x₂/2, y₁+y₂/2)

Using the coordinate points (-6, 0) and (-4, 0)

M(x, y) = -6+(-4)/2

M(x, y) = -2/2

M(x, y) =-1

Hence the coordinate of the midpoint of the segment with the given endpoints is (-1, 0)

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The value of x in the similar triangle is 12 units. The triangle are similar because they only vary in sizes but have the same shape.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The triangles are also similar because they have the same shape but different sizes.

Hence, let's find the value of x as follows:

3 / 9 = 4  / x

cross multiply

3x = 36

divide both sides by 3

x = 36 / 3

x = 12

Therefore, the value of x is 12 units.

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Answer:

x=20

Step-by-step explanation:

Answer:

living organism

Step-by-step explanation:

soil particals and decad crops living organism

In lambda expressions and lambda (λ) phrases, the Greek letter lambda () is used to signify binding a variable in a function. You can have typed or untyped lambda calculus.

Functions can only be used in typed lambda calculus if they are able to accept the "type" of data that the input is. The Greek symbol lambda () is commonly used to represent wavelength, which is equal to the speed (v) of a wave train in a medium divided by its frequency (f): wavelength = v/f. The majority of the time, students struggle to understand calculus because they don't practice after class, can't concentrate in class, have gaps in their math knowledge, and believe it's a waste of time.

The actions you can do to make calculus simple are listed below. Calculus is the most difficult math topic, and very few students, whether in high school or elsewhere, succeed in it. In vector space, linear algebra is a subset of abstract algebra. Matrix technology makes things less abstract and easier to understand because it is more concrete. The mean number of events within a particular period of time or space is denoted by the Greek letter lambda () in the Poisson distribution formula. For instance, = 0.748 floods annually.

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Correct Question:

What does λ mean in calculus?

Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength of a wave with a frequency of 4.11×10⁴ Hz is 7299.27 m.

Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).

Frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).

The propagation speed is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.

The propagation speed relate the wavelength (λ) and the frequency (f) using the following equation:

v = f×λ

In this case, you know:

v= 3×10⁸ m/s

f= 4.11×10⁴ Hz

λ= ?

Replacing:

3×10⁸ m/s= 4.11×10⁴ Hz× λ

Solving:

λ= 3×10⁸ m/s ÷ 4.11×10⁴ Hz

λ=7299.27 m

In summary, the wavelength of the wave is 7299.27 m.

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