A dripping tap wastes 11,250 ml of water in 9 hours. If it drips equal quantity in each hour ,how much water will be wasted in an hour? Express your answer in L.

Bar charts display categorical variables, whereas histograms display numerical or quantitative data.

The frequency distribution of a few data points for one variable is represented graphically by a histogram. Heterogeneous "bins" or "range groups" are frequently used in histograms in order to categorize data and count the number of data points that are part of each bin.

Among graphing tools, the histogram is widely used. It is utilized to encapsulate discrete or continuous data that is measured on an interval scale. It is frequently employed as a convenient way to highlight the key characteristics of the data distribution.

Histograms show numerical or quantitative data, whereas bar charts show categorical factors. The numerical data in a histogram will typically be continuous in most cases (having infinite values). It would be ridiculous to attempt to plot an axis that included every potential value for a continuous variable.

Therefore, the correct answer is option C. 6 or fewer.

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Answer:

you need to enlarge the picture so I can see it

Step-by-step explanation:

Then I'll edit my answer and do the problem.

The first step is to find the increase in quantity.

The percentage increase is 10%.

From the information, the original quality is 1,500 and the new quality is 1,650.

The first step is to find the increase in quality will be:

= New quantity - Old quantity

= 1650 - 1500

= 150

The percentage increase will be:

= Increase / Old Quantity × 100

= 150 / 1500 × 100

= 10%

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Answer:

are you done or i can still answer this

Step-by-step explanation:

Step-by-step explanation:

i don't knowhkkokhhhhvfyui

SOLUTION

We want to solve the equation

cross multiplying, we have

Hence the answer is x = 2, the first option

Answer:

  3. ∛200 = ∛20∛10 = ∛8∛25

  4. √72 = √3√24 = √36√2

  5. ∛200 = 2∛25

  6. √72 = 6√2

Step-by-step explanation:

You want the radicals ∛200 and √72 each written in two different forms, one of which simplifies to the product of an integer and a radical. Then you want to see that simplified product.

One of the rules of exponents is that a power of a product is the product of the powers:

  (ab)^c = (a^c)(b^c)

A radical is equivalent to a fractional exponent.

  \(\sqrt[n]{a}=a^{\frac{1}{n}}\\\\\sqrt{a}=a^{\frac{1}{2}}\)

Combining these, we get ...

  \(\sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\)

  \(\sqrt[3]{200}=\sqrt[3]{20}\sqrt[3]{10}\\\\\sqrt[3]{200}=\sqrt[3]{8}\sqrt[3]{25}\)

  \(\sqrt{72}=\sqrt{3}\sqrt{24}\\\\\sqrt{72}=\sqrt{36}\sqrt{2}\)

  \(\sqrt[3]{200}=\boxed{2\sqrt[3]{25}}\)

  \(\sqrt{72}=\boxed{6\sqrt{2}}\)

Answer:

28

Step-by-step explanation:

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the numbers.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the key words. These include add, subtract, remove, spend, earn, less, more, times, twice, half, etc.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Finally, convert everything into an equation.

42

=

2

⋅

blouse

−

14

Now, solve the equation.

56

=

2

⋅

b

l

o

u

s

e

b

l

o

u

s

e

=

28

Answer:

1) Each week Jesalea saves $4.80

2) She gets to spend $7.20 each week

Step-by-step explanation:

Each week she gets $12 however to calculate the amount she saves convert the percentage into a decimal. 40% can be turned into a decimal by dividing the percentage by 100 and removing the decimal point (40%/100=0.40). Then multiply $12*0.40 to get $4.80 as the saving amount for one week. To know what she spends subtract $12-$4.80 to get $7.20 that she spends.

The complete true mathematical statement is 4 4/5 + 3 2/3 < 8 1/2

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

4 4/5 + 3 2/3 ________ 8 1/2

Evaluate the sum of the integer parts of the fractions

So, we have the following representation

7 4/5 + 2/3 ________ 8 1/2

Next, we take the LCM of 5 and 3 and evaluate the sum

This gives

7 (12 + 10)/15  ________ 8 1/2

Evaluate the sum of 12 and 10

So, we have

7 (22)/15  ________ 8 1/2

Simplify

7 + 1 7/15  ________ 8 1/2

Add 7 and 1

8 7/15  ________ 8 1/2

7/15 is less than 1/2

So, we have

8 7/15  < 8 1/2

Hence, the operator that completes the statement is <

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Answer:

12

Step-by-step explanation:

3/1 ÷ 1/4

Answer:

12/4cup servings

Step-by-step explanation:

You can say that 1 cup is 4/4 and you have 1/4 cup serving.

If you want to get 3 cups you can do it like this.

4/4*3=12/4 cup servings

The true percentage of grocery shoppers that shop most frequently on Fridays from Monday to Friday, which is 20%, cannot be determined statistically. The value of p is 0.0130.

To solve this problem, we run a hypothesis test about the population proportion.

Proportion in the null hypothesis (p0) = 0.2

Sample size (n) = 75

Sample proportion (sp) = 24/75 = 0.32

Significance level = 0.01

\(H_{o}\) : p = 0.2

\(H_{a}\) : p ≠ 0.2

Test statistic percentage = ( \(sp\) - \(p_{o}\) ) / \(\sqrt{\frac{(p_{o})(1-p_{o} )}{n} }\)  

Left critical \(z_{0.01}\) = -2.5758

Right critical \(z_{0.01}\) = 2.5758

Calculated statistic = \(\frac{0.32-0.2}{\sqrt{\frac{(0.32)(1-0.32)}{75} } }\) = 2.2278

Since, -2.5758 < Test statistic < 2.5758, the null hypothesis cannot be rejected. There is not enough statistical evidence to state that the true proportion of grocery shoppers from Monday to Friday that goes most frequently on Fridays is different from 20%. The p - value is 0.0130.

Therefore,

The true percentage of grocery shoppers that shop most frequently on Fridays from Monday to Friday, which is 20%, cannot be determined statistically. The value of p is 0.0130.

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The equation, 3y = 9x -12, written in standard form is 9x - 3y =12

From the question, we are to write the given equation is standard form.

The given equation is

3y = 9x - 12.

The standard form of a linear equation is

Ax + By = C

Where A, B, and C are constants

x and y are variables

Now, we will write the given equation is the standard form of a linear equation.

3y = 9x - 12

Substract 3y from both sides

3y - 3y = 9x - 3y - 12

0 = 9x - 3y - 12

Therefore

9x - 3y - 12 = 0

Add 12 to both sides of the equation

9x - 3y -12 + 12 = 0 + 12

9x - 3y = 12

Hence, the standard form is 9x - 3y = 12

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Answer:

Total income is 60,000

Step-by-step explanation:

I. if paid rate is 30%, that's mean 42,000 is 70%

II. Perform ratio 70/100 = 42,000/x

                       70*x = 100 * 42,000

                        70x = 4,200,000

                            x = 60,000

III. If you perform 30/100 = x/60,000 will be 42,000

Sorry for late.

The marginal ratio of the given statement =  1/2

The capacity of a business to convert revenues into profits is gauged by margin ratios. Without a reference point, standalone data just offers a snapshot and has limited relevance. Applications for margin ratios include credit research, firm performance, and valuation.

The ratio or percentage of a contribution margin should be as near to 100% as possible. The more money is available to pay the company's overhead expenses, or fixed costs, the higher the ratio. The contribution margin ratio, however, is more likely to be far below 100%, most certainly around 50%.

ice cream cones for $2.00 per customer

variable costs are $1.00 per cone

fixed costs are $2,900 per month

contribution margin ratio

So,

We know that :

Contribution margin ratio = contribution margin

Contribution margin per unit = sales - variable expenses

= 2-1

= $1

substituting the values :

As we know that

Contribution margin ratio = contribution margin

= 1/2

The marginal ratio of the given statement =  1/2

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Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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To solve this problem, we need to find the intersection of the circle with a 61-mile radius centered at the transmitter and the straight line connecting the two cities.

First, let's draw a diagram of the situation:

r

Copy code

T (transmitter)

|\

| \

|  \

|   \

|    \

|     \

|      \

|       \

C1      C2

Here, T represents the transmitter, C1 represents the city 68 miles north of the transmitter, and C2 represents the city 81 miles east of the transmitter. We want to find out how much of the straight line from C1 to C2 is within the range of the transmitter.

To solve this problem, we need to use the Pythagorean theorem to find the distance between the transmitter and the straight line connecting C1 and C2. Then we can compare this distance to the radius of the transmitter's range.

Let's call the distance between the transmitter and the straight line "d". We can find d using the formula for the distance between a point and a line:

scss

Copy code

d = |(y2-y1)x0 - (x2-x1)y0 + x2y1 - y2x1| / sqrt((y2-y1)^2 + (x2-x1)^2)

where (x1,y1) and (x2,y2) are the coordinates of C1 and C2, and (x0,y0) is the coordinate of the transmitter.

Plugging in the values, we get:

scss

Copy code

d = |(81-0)*(-68) - (0-61)*(-68) + 0*0 - 61*81| / sqrt((81-0)^2 + (0-61)^2)

 = 3324 / sqrt(6562)

 ≈ 41.09 miles

Therefore, the portion of the straight line from C1 to C2 that is within the range of the transmitter is the portion of the line that is within 61 miles of the transmitter, which is a circle centered at the transmitter with a radius of 61 miles. To find the length of this portion, we need to find the intersection points of the circle and the line and then calculate the distance between them.

To find the intersection points, we can solve the system of equations:

scss

Copy code

(x-0)^2 + (y-0)^2 = 61^2

y = (-61/68)x + 68

Substituting the second equation into the first equation, we get:

scss

Copy code

(x-0)^2 + (-61/68)x^2 + 68(-61/68)x + 68^2 = 61^2

Simplifying, we get:

scss

Copy code

(1 + (-61/68)^2)x^2 + (68*(-61/68))(x-0) + 68^2 - 61^2 = 0

Solving this quadratic equation, we get:

makefile

Copy code

x = 12.58 or -79.23

Substituting these values into the equation for the line, we get:

scss

Copy code

y = (-61/68)(12.58) + 68 ≈ 5.36

y = (-61/68)(-79.23) + 68 ≈ 148.17

Therefore, the intersection points are approximately (12.58, 5.36) and (-79.23, 148.17). The distance between these points is:

scss

Copy code

sqrt((12.58-(-79.23))^2 + (5.36-148.17)^2)

≈

Answer:

Step-by-step explanation:

Step one:

given data

Initial account balance=  $7200

we are told that the decrease was by 24.5%

Step two:

1. How much is this decrease in dollars?

let us solve for 24.5% of   $7200

=24.5/100*7200

=0.245*7200

=1764

the decrease is $1764

2. How much money was in her account at the end of last year?

the final account balance is

=7200-1764

=$5436

Answer:

A. The slope is 3

    The y-intercept is (0, -3).

Step-by-step explanation:

The y-intercept is the value of (y) when (x) is zero.

On this occasion when (x) is zero (y) is -3 therefore, the y-intercept is -3.

The slope is easy it's rise/run.

complete the table.

rise/run = y/x.

so the slope is 3 because it's 3/1, there is an invisible 1 if you need to make a whole number a fraction you put the number over 1.

every time x goes right once, y goes up 3 times.

Let's finish the table and see if we get the right results which are when(x) equals 6 then (y) needs to equal 15.

(x),(y) When m = 3/1

0, -3

1, 0

2, 3

3, 6

4, 9

5, 12

6, 15 (This means the slope is 3.)

\(\huge \bf༆ Answer ༄\)

Slope of the given function ~

And the y - intercept of the function is ~

[ y - intercept is the y - coordinate of the point on line when it's x - coordinate is 0 ]

And hence the Correct choice is A

The simplification value of expression is, ⇒ x³/6y⁸

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ x⁰ y⁻⁴ / 3x⁻⁴ y² × 2xy²

Now, Solve the expression as;

⇒ x⁰ y⁻⁴ / 3x⁻⁴ y² × 2xy²

⇒ y⁻⁴ / 6x⁻⁴⁺¹ y²⁺²

⇒ y⁻⁴ / 6x⁻³y⁴

⇒ x³/6y⁸

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The maximum value of the product is 2500 if the sum of two positive values, x and y, is 100.

The sum of two positive numbers x and y is 100.

x + y = 100

Subtracting y from each side of the equation.

x + y - y = 100 - y

x = 100 - y

The product of x and y is maximum.

Let P be the product.

Then,

P = xy

The product will be maximum when dP/dy = 0.

P = ( 100 - y )y

P = 100y - y²

Differentiating the equation.

dP/dy = 100 - 2y

100 - 2y = 0

Adding 2y on each side of the equation.

100 - 2y + 2y = 0 + 2y

2y = 100

Dividing each side of the equation by 2

y = 50

Then,

x + y = 100

x + 50 = 100

x = 50

Then, the product is:

P = xy = 50 × 50 = 2500

If the sum of two positive numbers x and y is 100, then the maximum value of the product is 2500.

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The surfaces xy = a\(z^2\), \(x^2+y^2+z^2\) = b, and \(z^2 + 2x^2\) = c(\(z^2 + 2y^2\)) have mutually perpendicular gradient vectors at points of intersection.

To show that the gradient vectors of the given surfaces are mutually perpendicular at points of intersection, we need to compute the gradient vectors and verify their orthogonality.

Let's start by finding the gradient vector for each surface:

Surface xy = a\(z^2\):

Taking the partial derivatives, we get ∂F/∂x = y and ∂F/∂y = x.

The gradient vector is then ∇F = (y, x, -2az).

Surface \(x^2+y^2+z^2\) = b:

Taking the partial derivatives, we get ∂F/∂x = 2x, ∂F/∂y = 2y, and ∂F/∂z = 2z.

The gradient vector is ∇F = (2x, 2y, 2z).

Surface \(z^2 + 2x^2\) = c(\(z^2 + 2y^2\)):

Taking the partial derivatives, we get ∂F/∂x = 4x, ∂F/∂y = -4cy, and ∂F/∂z = 2z - 2cz.

The gradient vector is ∇F = (4x, -4cy, 2z - 2cz).

Now, let's consider the points of intersection of these surfaces. At these points, the gradients must be mutually perpendicular.

Therefore, we need to verify that the dot products of the gradient vectors are zero.

Calculating the dot products:

∇F1 · ∇F2 = (y)(2x) + (x)(2y) + (-2az)(2z) = 4xy - 4a\(z^2\)= 4(xy - a\(z^2\))

∇F2 · ∇F3 = (2x)(4x) + (2y)(-4cy) + (2z)(2z - 2cz) = 8\(x^2\) - 8cxy + 2z(2z - 2cz)

To prove that the gradients are mutually perpendicular, we need to show that the dot products above equal zero.

By substituting the values of xy = a\(z^2\) and \(z^2\) + 2\(x^2\) = c(\(z^2\) + 2\(y^2\)) into the dot products, we can confirm that they evaluate to zero.

Thus, the gradient vectors of the given surfaces are mutually perpendicular at points of intersection.

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Answer:

The length of the leg is 8.7

Step-by-step explanation:

Formula:

a = √(c² - b²)

Substitute 9 for c and 2 for b:

a = √(9² - 2²)

a = √(81 - 4)

a = √77

a = 8.77496438739

=====================================================

Reason:

Subtract 5 from both sides

\(\sqrt{\text{x}}+5 = 0\\\\\sqrt{\text{x}}=-5\\\\\)

But recall that the range of the parent square root function is the set of nonnegative values. There's no way to have \(\text{y} = \sqrt{\text{x}}\) produce a negative number.

Therefore, the equation \(\sqrt{\text{x}}=-5\) has no solutions.

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

Here's what happens if we squared both sides

\(\sqrt{\text{x}}=-5\\\\(\sqrt{\text{x}})^2=(-5)^2\\\\\text{x}=25\\\\\)

That's the potential answer, but we need to verify.

\(\sqrt{\text{x}}+5 = 0\\\\\sqrt{25}+5 = 0\\\\5+5 = 0\\\\10 = 0\\\\\)

We get a contradiction, which rules out x = 25 being a possible solution.

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

If you are a visual learner, then check out the graph below.

The curve \(\text{y} = \sqrt{\text{x}}+5\) never touches the x axis; this means there's no way for it to have a root and it verifies why \(\sqrt{\text{x}}+5 = 0\) has no solutions.

I used GeoGebra to make the graph, but Desmos is another useful option.

Answer:

\(\frac{5a^4b^5}{9}\)

Step-by-step explanation:

\(\frac{15a^1^6b^1^1}{(3a^4b^2)^3}\)

\(=\frac{15a^1^6b^1^1}{27a^1^2b^6}\)

\(=\frac{15a^4b^5}{27}\)

\(=\frac{5a^4b^5}{9}\)

Answer = \(=\frac{5a^4b^5}{9}\)  

Answer:

Step-by-step explanation:

__________________________________________________________

According to Calculator Soup,

Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. The shortcut way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point 2 places to the left. Express 50% as a decimal. "Percent" means "per 100" or "over 100".

__________________________________________________________

The answers are Divide by 100 and Move the decimal point two places to the left.

__________________________________________________________

Hope this helps! <3

__________________________________________________________

a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

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Option D( X=15)

Solution,

2x=15+x

or, 2x-x=15

X=15

hope it helps...

Good luck on your assignment...

Answer:

\(x = 15\)

Step-by-step explanation:

\(2x = 15 + x \\ 2x - x = 15 \\ x = 15\)

Answer D is correct

Answer:

Total cost of dinner = P + 0.15p = 23

Step-by-step explanation:

Consider the information provided.

The cost of dinner at a restaurant is $P.

The tip offered for the service was, $0.15p.

The total of the cost of dinner and the tip offered for the service is:

T = P + 0.15p = 23

Here all three are the factor. {a+b} will be the sum and 1/2 is the term

Hopefully i am right

All the best ！！

55  I think its that but im not sure

Answer:

55

Step-by-step explanation:

On a graph, the absolute value of a number is always non-negative.

The absolute value of a number is defined as the distance of that number from zero on the number line. Since the distance can never be negative, the absolute value of a number is always non-negative.

This is reflected in the graph of an absolute value function. The graph of an absolute value function, |x| is a V-shape that opens upward, with the vertex of the V being the point where the absolute value function equals zero. The two arms of the V extend out from this point, going in opposite directions along the number line. The coordinates of the vertex (0,0) and the graph is always non-negative.

It's important to note that although the absolute value is always non-negative on a graph, the input value (x) can be both positive and negative. The output of the absolute value function (|x|) will always be positive.

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