A drawing has a scale of 1:40.
On the drawing, a bedroom is a rectangle measuring 10cm by 18cm.
A kitchen has an actual area of 300,000cm^2.
Which has the bigger area? Show working out.

4.1 quarts is equal to 131.2 ounces using the unit conversion technique.

We need to convert between units in order to ensure accuracy and prevent measurement misinterpretation. For example, we do not measure a pencil's length in kilometers. In this situation, one must convert from kilometers (km) to centimeters (cm) (cm).

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be stated in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

4.1 ounce is given.

In order to convert the unit to ounces, given that one quart contains 32 fluid ounces, multiply 4.1 by 32.

4.1 qt =4.1 × 32 oz= 131.2 oz

4.1 qt = 131.2 fl oz

So, 4.1 Quarts is equal to 131.2 Fluid Ounces.

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To use the normal approximation for a test of two proportions, n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2) must all be greater than or equal to 5.

This is because the normal distribution assumes that the sample size is large enough to approximate the binomial distribution, and the rule of thumb is that each cell (n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2)) should have at least 5 expected counts. If any of these cells have fewer than 5 expected counts, then the normal approximation is not reliable and a more appropriate test should be used. It is important to note that this is just a rule of thumb, and other factors such as the size of the effect and the desired level of significance should also be considered when deciding on a statistical test.

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Answer:

\( {(x - 6)}^{2} + {(y - 3)}^{2} = {4}^{2} \)

\( {(x - 6)}^{2} + {(y - 3)}^{2} = {16} \)

The height of water in the cylinder for the second rain gauge, with an opening 10 times the area of the first rain gauge, is 1 cm.

In the second rain gauge, with an opening 10 times the area of the first rain gauge (B: 200 cm^2), and a collection cylinder with the same opening as the rain gauge in (A: 20 cm^2), we need to determine the height of water in the cylinder for a rainstorm of 10 cm.

To find the height of water in the cylinder, we can use the principle of conservation of volume. The volume of water collected in both rain gauges should be the same since it is from the same rainstorm.

The volume of water collected in the first rain gauge (A) can be calculated using the formula:

Volume = Area * Height

Given that the area of the opening is 20 cm^2 and the height of the water collected is 10 cm, we can find the volume of water collected in rain gauge (A).

Now, let's calculate the volume of water collected in the second rain gauge (B). Since the opening is 10 times the area of the first rain gauge (200 cm^2), we need to find the height of water in the cylinder to maintain the same volume as in rain gauge (A).

By using the formula Volume = Area * Height, we can rearrange it to solve for the height:

Height = Volume / Area

Substituting the volume of water collected in rain gauge (A) and the area of the opening in rain gauge (B), we can calculate the height of water in the cylinder for the second rain gauge.

By performing the calculations, we find that the height of water in the cylinder for the same rainstorm of 10 cm is XXX cm in the second rain gauge.

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A professional rain gauge (B) that is more precise has an opening that is 10 times the area (i.e. 200 cm^2  ). The collection cylinder is the same 20 cm^2  opening as the rain gauge in (A) (i.e. 20 cm^2 ) but a funnel ensure all the water ends up in the collection cylinder. In this second rain gauge, what is the height of water in the cylinder for the same rainstorm of 10 cm rain? ( 2 points)

A graduated cylinder is a common laboratory instrument used to measure the volume of liquids. The unit of measurement used for a graduated cylinder depends on the markings on the cylinder itself.

In most cases, graduated cylinders are marked in milliliters (mL). This means that the cylinder is calibrated to measure volumes of liquid in units of milliliters. Milliliters are a standard unit of measurement for liquid volume in the metric system.

However, it is possible for a graduated cylinder to be marked in other units of measurement, such as liters or fluid ounces. In these cases, the cylinder would be calibrated to measure volumes of liquid in those specific units.

It is important to note that when using a graduated cylinder, the user should always read the volume at the bottom of the meniscus, which is the curved surface of the liquid in the cylinder. This ensures the most accurate measurement possible.

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The probability of choosing green, yellow, and blue in that order is 1/6, or roughly 0.1667, or 16.67%.

We need to take into account the sample space and tally the number of favourable occurrences in order to calculate the likelihood that William will choose the blocks in the prescribed order (green, yellow, blue).

When William chooses three blocks without replacing them, the sample space depicts every scenario that could occur. Three blocks make up the sample space, which can be listed as follows:

GYB

GBY

YGB YBG BGY

BYG

Only one of the six potential outcomes, GYB, fits the intended sequence.

The result is that there is only one favourable outcome.

Given that there are a total of six options, the likelihood that William would choose the green, yellow.

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Answer:

B or C

Step-by-step explanation:It ain´t easy

Answer:

120

Step-by-step explanation:

white : blue : green

5        :4          :1

48 are blue

48/4 = 12

Multiply each by 12

white : blue : green

5*12   4*12     1*12

60        48        12

Add the numbers together to get the total

60+48+12

120

Answer:

im pretty sure the answer would be 40m

Step-by-step explanation:

Answer:

Area: 40m²

Step-by-step explanation:

The first thing we need to do in order to solve this problem is split the shape into three different rectangles. We are going to have one rectangle that is 3 m by 7 m, one that's 4 by 4, and one that is 3 by 1. We are now going to find the area of each one individually.

To find the area of a rectangle, you multiply the length by the width. So, for the first rectangle, you would multiply 7 and 3. This equals 21, so that is the area of the first rectangle. Repeat this for the other two rectangles, then add all the areas together and you will get the total area of this shape.

Remember, when you are finding the area of an object, you must always put the label and a squared sign next to the number!

7×3=21

4×4=16

3×1=3

21+16+3=40

Area = 40m²

I hope this is fairly easy to understand. Please let me know if you need any more help. Good luck and have a great morning!

The zero of the function f(x) = x - 4 is 4

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

f(x) = x - 4

By definition, the zero of the function is the point where the fucnction has a value of 0

i.e. f(x) = 0

When the value f(x) = 0 is substituted in the above equation, we have the following equation

x - 4 = 0

Add 4 to both sides

So, we have

x - 4 + 4 = 0 + 4

Evaluate the sum

x = 4

Hence, the zero of the function is 4

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Scoring in the 60th percentile on her math exam means that the student performed better than 60% of other test takers.

Percentile is a measure that indicates the percentage of data points that are below a particular value in a given dataset. In this case, the student's score is in the 60th percentile, which means she scored better than 60% of the other test takers.

Imagine arranging all the scores of the test takers in ascending order. The 60th percentile represents the score that is greater than 60% of the scores below it and less than 40% of the scores above it. It is a way of understanding how a particular score compares to the rest of the scores in the group.

However, it also means that 40% of the test takers scored higher than her.  If the student scored in the 60th percentile, it indicates that she performed relatively well compared to the majority of the test takers.

Percentiles provide a useful way to interpret individual scores in relation to the entire distribution of scores in a dataset.

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According to the problem, the initial condition is 2, which means the coefficient of the exponential must be 2, so the given situation can be model by the following equation

Answer:

The given expression can be simplified using the rule for multiplying powers with the same base by adding their exponents.

(9^-3)(9^12) can be written as (1/9^3)(9^12)

Now, using the rule of adding exponents, (1/9^3)(9^12) can be simplified as 9^(12-3) = 9^9.

Therefore, the expression (9^-3)(9^12) simplified as 9^9.

Step-by-step explanation:

If Jose has done 100 more science experiments than Gabby and the number of science experiments done by Gabby is x, an expression representing Jose's experiments is 100 + x.

Mathematically, an expression is the combination of variables, constants, values, and numbers using mathematical operands but without an equal symbol (=).

The basic mathematical operands include addition (+), subtraction (-), division (÷), and multiplication (×).

Let the number of science experiments performed by Gabby = x

The number of science experiments performed by Jose = x + 100

x + 100

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The equation that represents the inverse function b(a) in this case is:

C. b(a) = 7

The probability of - (a) no cracks is approximately 0.0000, (b)at least one crack is 0.3935.The assumption of a Poisson distribution is not valid (0), as the variability in vehicle load may affect the occurrence of cracks.

(a) To find the probability that there are no cracks requiring repair in 15 miles of highway, we can use the Poisson distribution formula. In this case, the mean (λ) is given as 2 cracks per mile, so the mean for 15 miles would be

2 * 15 = 30.

The probability of observing zero cracks is calculated as

\(P(X = 0) = e^(-λ) * (λ^0) / 0!.\)

Substituting the values, we get

\(P(X = 0) = e^(-30) * (30^0) / 0! ≈ 9.3576e-14.\)

(b) To find the probability that at least one crack requires repair in 1/4 mile of highway, we can again use the Poisson distribution.

Here, the mean (λ) is given as 2 cracks per mile, so the mean for 1/4 mile would be 2 * (1/4) = 0.5.

The probability of observing at least one crack is calculated as

P(X ≥ 1) = 1 - P(X = 0).

Using the formula from part (a), we know

P(X = 0) ≈ 9.3576e-14.

Therefore, P(X ≥ 1) ≈ 1 - 9.3576e-14 ≈ 1.

(c) The assumption of a Poisson distribution for the number of cracks requiring repair for all sections might not be valid if the vehicle load on the highway varies significantly.

The Poisson distribution assumes that events occur independently and at a constant rate, which may not hold true if certain sections have a heavy vehicle load while others have a light load.

Factors such as traffic congestion, road conditions, and maintenance practices can affect the occurrence of cracks.

Therefore, a Poisson distribution may not accurately model the variability in the number of cracks in different sections of the highway.

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Answer:

D. Precipitation

Step-by-step explanation : Gravity causes precipitation to fall from clouds and water to flow downward on the land through watersheds. Energy from the sun and the force of gravity drive the continual cycling of water among these reservoirs. As the water is heated, it changes state from a liquid to a gas.

The minimum sample size required to estimate the population mean with 95% confidence and a margin of error of 1.5, given a population standard deviation of 10.75, is approximately 190 (option d).

To determine the minimum sample size (n) required to estimate a population mean with 95% confidence, given a desired margin of error (E) of 1.5 and a known population standard deviation (σ) of 10.75, we can use the formula:
n = (Z * σ / \(E)^2\)
In this formula, Z is the Z-score associated with the desired confidence level. For a 95% confidence level, the Z-score is 1.96 (based on a standard normal distribution table).
Now, we can plug in the given values and solve for n:
n = \((1.96 * 10.75 / 1.5)^2\)
n = \((20.67 / 1.5)^2\)
n = \(13.78^2\)
n ≈ 189.76
Since we require a whole number for the sample size, we round up to the nearest whole number, which is 190. This value is not among the given options, but it is closest to option d (n = 198). Therefore, the best answer among the given options is d (n = 198).

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Step-by-step explanation:

this is equation......................

Answer:-4

Step-by-step explanation:

11,7,3,-1,-5,......they have a difference of -4

11-4=7

7-4=3

3-4=-1

-1-4=-5

Recursive formula for the given sequence is \(a_{n}=a_{n-1}-4\)

A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).

Consider

The first term \(a_{1} =11\)

second term \(a_{2}=7\)

Common difference = 7-11 = -4

Third term \(a_{3}=3\)

Common difference = 3-7 =- 4

Fourth term \(a_{4}=-1\)

Common difference = -1-3= -4

Then the formula for the sequence is \(a_{n}=a_{n-1}-4\)

Hence, the Recursive formula for the give sequence is \(a_{n}=a_{n-1}-4\)

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Answer:

$310

Step-by-step explanation:

$290/29

=$10

31 multipled by 10

=$310

Answer:

when the ph of a solution shifts from 3 to 7, the hydrogen ion concentration has changed, and _become more basic_.

Step-by-step explanation:

The hydrogen ion concentration has decreased.  The hydroxyl concentration has increased. The solution has become more basic.

Answer:

If the temperature decreases by 17° per week, then in one week, the temperature would decrease by 17°, and in two weeks, it would decrease by 2 × 17° = 34°. Therefore, the temperature on January 19th, which is one week after January 12th, can be found by subtracting 17° from 13°:

Temperature on January 19th = 13° - 17° = -4°

Therefore, the temperature on January 19th is -4°, which is option D.

Points Z, L, and S are collinear points

When 2 or more points are on a line, the points are said to be collinear.

From the figure, we have:

Points Z, L and S on the same line

This means that they are collinear points

Hence, points Z, L, and S are collinear points

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23  locker numbers contain the digit 5.

5, 15 ,.......125 = 13

50, 51.........59 =10

total = 23

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Answer:

it's 1!!

Step-by-step explanation:

The sequence is 112 , 337 , 449,786 , 1235 , 2021

An equation is a mathematical statement formed when two algebraic expressions re equated by an equal sign.

On the base of the given data

Let the first and second number is x and y

Then the third , fourth , fifth and sixth number is (x+y) , (x+2y) ,(2x+3y),(3x+5y)

The first term is 112

There are six numbers in the sequence

The last term is given by the equation

3x+5y = 2021

3* 112 +5y = 2021

5y = 1685

y = 337

Therefore the sequence is 112 , 337 , 449,786 , 1235 , 2021

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Answer:

8

Step-by-step explanation:

4 and jacob has 4. v. ...................

hola como estas espero que bien y que te hice el deposito de

Answer:

Step-by-step explanation:

To solve the equation

(2x - 1) + (4x + 9) = 32

First of all remove the parenthesis

That's

2x - 1 + 4x + 9 = 32

Simplify

We have

6x - 8 = 32

Add 8 to both sides

Thats

6x - 8 + 8 = 32 + 8

6x = 40

Divide both sides by 6

That's

\( \frac{6x}{6} = \frac{40}{6} \)

We have the final answer as

\(x = \frac{40}{6} \)

Hope this helps you

Answer: