The charge of electricity for the first 20 units is Rs. 80. If Rs. 7.30 per unit is charged for the units 21 to 30, what is the charge of 27 units of electricity consumed in a household​

The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

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As per the concept of Poisson distribution, 0.07% is the probability of observing more than 4 errors in the carpet.

Poisson distribution:

According to the Poisson distribution, the probability that X defines the number of successes of a random variable is given by the following formula:

\(P(X=x) =\frac{e^{-\mu}\times\mu^{x}}{x!}\)

Where

x represents the number of successes

e has the value 2.71828 and it is the Euler number

μ is the mean in the given interval.

Given,

The number of weaving errors in a twenty-foot by ten-foot roll of carpet has a mean of 0.6.

Here we need to find the probability of observing less than 4 errors in the carpet and round off it into four decimal places.

Here we only have the mean, we have to use the Poisson distribution.

And we know that, the number of weaving errors in a twenty-foot by ten-foot roll of carpet has a mean of 0.6.

This means that the value of μ = 0.6.

Now, we need to find either we observe 4 or less errors, or we observe more than 4. In both cases, the sum of the probabilities of these outcomes is 1.

So it can be written as,

P(X ≤ 4) + P(X > 4) = 1

Here we want the value of P(X > 4).

It can be written as,

P(X > 4) = 1 - P(X ≤ 4)

We know that, the value of P(X ≤ 4) is calculated as,

P(X ≤ 4) = P(X = 0) + P (X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

When we apply these on the Poisson distribution formula, then  we get,

P(X = 0) = (e⁻⁰°⁶ ₓ (0.6)⁰)/0! = 0.5488

P(X = 1) = (e⁻⁰°⁶ ₓ (0.6)¹)/1! = 0.3292

P(X = 2) = (e⁻⁰°⁶ ₓ (0.6)²)/2! = 0.0987

P(X = 3) = (e⁻⁰°⁶ ₓ (0.6)³)/3! = 0.0197

P(X = 4) = (e⁻⁰°⁶ ₓ (0.6)⁴)/4! = 0.0029

Apply the values on the equation, then we get,

P(X ≤ 4) = 0.5488 + 0.3292 + 0.0987 + 0.0197 + 0.0029

P(X ≤ 4) = 0.9993

Therefore, the value of P(X > 4) is,

P(X > 4) = 1 - 0.9993

P(X > 4) = 0.0007

When we convert it into percentage then we get 0.07%

Therefore, 0.07% probability of observing more than 4 errors in the carpet.

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Answer:

Sure, I'd be happy to help you with that!

To calculate Dan's earnings with simple interest, we can use the following formula:

I = P * r * t

where:

I = interest earned

P = principal amount (initial investment)

r = interest rate (as a decimal)

t = time period (in years)

We know that Dan invests £2500 and receives 5% simple interest per year, so:

P = £2500

r = 0.05

t = 2 years

Plugging these values into the formula, we get:

I = £2500 * 0.05 * 2

I = £250

This means that Dan will earn £250 in interest over the 2-year period.

To calculate Dan's total earnings, we simply add the interest earned to the initial investment:

Total earnings = £2500 + £250

Total earnings = £2750

Therefore, Dan will have £2750 in his bank account after 2 years.

Answer:

42

Step-by-step explanation:

The similar circles P and Q can be made equal by dilation and translation

From the figure, we have the centers to be:

P = (-5,4)

Q = (6,8)

The distance is then calculated using:

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have:

d = √(6 + 5)^2 + (8 - 4)^2

Evaluate the sum

d = √137

Evaluate the root

d = 11.70

Hence, the horizontal distance between the center of circles P and Q is 11.70 units

We have their radius to be:

P = 2

Q = 5

Divide the radius of Q by P to determine the scale factor (k)

k = Q/P

k = 5/2

k = 2.5

Hence, the scale factor of dilation from circle P to Q is 2.5

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Answer:

4.9 .................................

Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать vvvvЯ люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать vЯ люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать vvvvЯ люблю тебя так сильно, что не знаю, как это сделать vvЯ люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать      

=3

Ok the length of AB is given by the equation:

If x=8 then we simply have to replace this value in the equation:

And that's the length of segment AB.

Answer:

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

The probability of selecting a yellow marble on the first draw is 7/9, since there are 7 yellow marbles out of 9 total marbles.

Since we replace the marble before the second draw, the probability of selecting a yellow marble on the second draw is also 7/9.

To find the probability of both events happening together, we multiply the probabilities:

Rounding to the nearest thousandth, the answer is 0.605.

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

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Answer:

16+31=31+16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:definition of midpoint, angle BCA is congruent to angle DCA

The triangles ΔABC and ΔADC are congruent triangles by

a) definition of mid-point

b) measure of ∠ACB = measure of ∠ACD = 90°

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔADC

Now , the side AC is the common bisector of both the triangles such that

C is the midpoint of BD

So , the measure of side BC = measure of side CD

And , the perpendicular bisector is right angle

So , the measure of ∠ACB = measure of ∠ACD = 90°

And , the measure of AC = measure of AC ( reflexive property )

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

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Any number with the 6 on the fourth place value, for example:

Each place value (which are counted from the right side) adds a factor of 10 to the previous place value.

This means that the 1 in 10, is 10 times the 1 in 1.

The 1 in 100, is 10 times the 1 in 10.

Then if we want to find a number where the 6 is 10 times greater than the value of the 6 in 237,629, we only need to move the 6 one time to the left.

We will have:

236,329

(any number with the 6 on the fourth place value).

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Answer:

0.5264 cubic feet paint left.

Answer:

The answer is "A" i think not 100% sure

tell me if wrong

The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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Answer:

y=2x+4 or f(x)=2x+4

Step-by-step explanation:

f(0)=4 is (0,4) and f(2)=8 is (2,8)

first, find the slope using the equation y2-y1/x2-x1

8-4/2-0

4/2

2

now, take one of the points, and put it into the equation y2-y1=m(x-x1) (m is slope)

take (0,4) for example

y-4=2(x-0)

y-4=2x

y=2x+4

y=f(x)

so, substitute as

f(x)=2x+4

hope this helps!

Answer:

total of 25 to clean.

did 10

has 15 left

Answer: 15

Step-by-step explanation:

Ran Needs to clean 17 cams... he already cleaned 10, so subtract 17-10... it would be 7

he finds 8 cams to clean... so we add 8+7... and it becomes 15...

brainliest appreciate

The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

Answer:

2.6 pounds

Step-by-step explanation:

$6.24 (total amount spent) / $2.40 (price per pound) = 2.6 pound purchased

I hope this helps :)

Answer:

HOLA

Step-by-step explanation:

This is what it feels like when you wrote "Hola" on my questions

Answer:

Step-by-step explanation:

3000000000

Answer: I do not think this problem is solvable; the cost of apples and oranges at the stores are different

Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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Answer: 4



Step-by-step explanation:

The ratio of rainy days to total days written as a percent will be 75%.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Ratio is used to compare two or more numbers. It is also used to indicate how big or small a quantity is when it is compared to another. It should be noted that in a ratio, two quantities are compared using division.

Since in the last 24 days, it rained 18 days.

Number of rainy days = 18.

Number of total days = 24

The ratio of rainy days to total days written as a percent will be:

= Number of rainy days / Total days × 100

= 18/24 × 100

= 3/4 × 100

= 75%

Therefore, the ratio is 3:4 which is 75%.

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