The measuring scale on an oil tank is shown. What fraction of the oil tank is empty? Full​

Answer:

Expanding the function:

[tex](x+6)^4\\[/tex]

You should get this:

[tex]x^4+24x^3+216x^2+864x+1296[/tex]

Step-by-step explanation:

Hope it helps

The required probability of waiting taxi longer than one hour and waiting for one hour is equals to 0.0821 and 0.1725 respectively.

Use the exponential distribution formula,

For an exponentially distributed random variable X with mean μ, the probability density function is given by,

f(x) = (1/μ) × e^(-x/μ)

And the cumulative distribution function is ,

F(x) = P(X ≤x)

      = 1 - e^(-x/μ)

Mean time between taxi arrivals is 24 minutes,

Rate parameter

λ = 1/μ

  = 1/24.

Probability of waiting longer than one hour for a taxi,

Probability that the time between arrivals is greater than 60 minutes. Using the cumulative distribution function,

P(X > 60)

= 1 - P(X ≤ 60)

= 1 - (1 - e^(-60/24))

= e^(-2.5)

≈ 0.0821

Probability of waiting longer than one hour for a taxi is approximately 0.0821.

Already been waiting for one hour,

the time you have to wait for the next taxi to arrive is 10 minutes.

Using the cumulative distribution function,

P(X ≤70 | X > 60)

= P(60 < X ≤ 70) / P(X > 60)

= (1 - e^(-70/24) - (1 - e^(-60/24))) / e^(-60/24)

≈ 0.1725

Therefore, the probability of waiting longer than one hour for a taxi is and that a taxi arrives within the next 10 minutes waiting for one hour is equals to 0.0821 and 0.1725 respectively.

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The above question is incomplete, the complete question is:

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 24 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose you have already been waiting for one hour for a taxi, what is the probability that one arrives within the next 10 minutes? Round your answers to 4 decimal places.

Using concrete pavers for the patio flooring is a cost-effective and durable option for Mr. Manley's project. Approximately 176 pavers will be needed to cover the 3.2 m x 5.0 m area of the patio.

Based on Mr. Manley's request for the most economical option for the patio flooring, I would suggest using concrete pavers. Concrete pavers are a durable and cost-effective option for outdoor flooring. They come in various shapes, sizes, and colors, allowing for a range of design options. To calculate the number of pavers needed, we first need to determine the total area of the patio. The formula for the area of a rectangle is length times width, so the area of the patio is 3.2 m x 5.0 m = 16 square meters. Next, we need to determine the size of the pavers. Let's assume we use 30 cm x 30 cm pavers. To cover 1 square meter with these pavers, we will need 11 pavers (100 cm / 30 cm = 3.33 pavers per meter, and 3.33 x 3.33 = 11.11 pavers per square meter, rounded to 11). Therefore, to cover the 16 square meter patio, we will need approximately 176 pavers (11 pavers per square meter x 16 square meters = 176 pavers).

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Answer:

B

Step-by-step explanation:

To measure out exactly 1 gallon of water we need exactly six possible number of moves.

To measure out exactly 1 gallon of water using two jugs, one with a 3-gallon capacity and one with an 5-gallon capacity, you can follow some steps

Fill the 5-gallon jug with water completely. Pour the water from the 5-gallon jug into the 3-gallon jug, leaving 2 gallons of water in the 5-gallon jug.

Empty the 3-gallon jug completely. Pour the 2 gallons of water from the 5-gallon jug into the empty 3-gallon jug.

Fill the 5-gallon jug with water again. Pour water from the 5-gallon jug into the 3-gallon jug until it is full, which will leave exactly 1 gallon of water in the 5-gallon jug.

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Answer: 43.2

Step-by-step explanation:

Do this by ration method:

[tex]\frac{18+36+15+33+48}{18} = \frac{360}{x}[/tex]

x = 43.2

The sprinkler will water an area of approximately 1519.76 square feet.

Area is the measurement of the size of a surface or region. It is usually measured in square units such as square meters, square feet, or square inches.

The area watered by the sprinkler can be calculated using the formula for the area of a circle:

Area = πr²

where r is the radius of the circle.

In this case, the radius of the sprinkler's spray is given as 22 ft. So, we can substitute this value in the formula:

Area = π(22 ft)²

Area = π(484 ft²)

Area = 1519.76 ft² (rounded to two decimal places)

Therefore, the sprinkler will water an area of approximately 1519.76 square feet.

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According to given information, the area of kite is 480 m².

What is area of kite?

The area of a kite can be calculated by multiplying the lengths of its two diagonals and dividing the result by 2:

Area of kite = (diagonal 1 x diagonal 2) / 2

The hypotenuse is usually the slanted line in a triangle.

Area of a kite = pq/2 (p and q = diagonal)

Finding the missing side length of triangle₁

37² = 12² + x² (x = unknown side length)

=> 1369 = 144 + x² (x = unknown side length)

=> 1369 - 144 = x² (x = unknown side length)

=> 1225 = x² (x = unknown side length)

=> x = 35 m

Finding the area:

Area of a kite = pq/2 (p and q = diagonal)

=> Area of a kite = (35 + 5)(12 + 12)/2

=> Area of a kite = (40)(24)/2

=> Area of a kite = 40 x 12 = 480 m².

Therefore, the area of kite is 480 m².

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The number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock is 24 cupcakes.

Since the total number of cupcakes that were sold is equal to 9 dozen cupcakes.

Total number of cupcakes = 9 * 12 = 108 cupcakes.

Since c is the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock.

We can write an equation that represents the total number of cupcakes sold as follows:

36 + 24 + c + c = 108

Solve for c:

36 + 24 + c + c = 108

36 + 24 + 2c = 108

60 + 2c = 108

2c = 108 - 60

2c = 48

c = 48/2

c = 24

Therefore, the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock is 24 cupcakes.

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The final triangle has vertices at (3, -1), (3, -4), and (1, -4) on the graph.

In mathematics, a transformation refers to a function that maps points or shapes in one coordinate system to corresponding points or shapes in another coordinate system, while preserving certain properties such as size, shape, orientation, and distance.

Starting with the triangle on a graph with vertices at (-4, 4), (-4, 1), and (-2, 1), we can apply the given transformations as follows:

Go right 1 and down 5: This transformation corresponds to the function T(x, y) = (x + 1, y - 5). Applying this function to each vertex of the triangle, we get:

(-4, 4) -> (-3, -1)

(-4, 1) -> (-3, -4)

(-2, 1) -> (-1, -4)

Reflect on the y-axis: This transformation corresponds to the function R(x, y) = (-x, y). Applying this function to each vertex of the transformed triangle, we get:

(-3, -1) -> (3, -1)

(-3, -4) -> (3, -4)

(-1, -4) -> (1, -4)

Therefore, the final triangle has vertices at (3, -1), (3, -4), and (1, -4) on the graph.

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Answer:

the healthy fruit is 77.07

and the spoiled fruit is 20.19

Step-by-step explanation:

the explanation is a little long but if you want one just ask in the comments and ill edit this

Part A: Two-way radio A covers approximately 201 square miles.

Part B: Two-way radio B covers approximately 483 square kilometers.

Part C: Two-way radio A covers the larger area.

Part D: The scale factor relationship between the radio coverages is approximately 0.8746.

What is area of circle?

The area of a circle can be found using the formula A = πr², where A is the area and r is the radius of the circle.

Part A: For two-way radio A, the radius is 8 miles, so the area covered by the radio is:

A = π8²

A = 64π

A ≈ 201 square miles

Therefore, two-way radio A covers approximately 201 square miles.

Part B:For two-way radio B, the radius is 11.27 kilometers. We need to convert this to miles in order to use the formula for the area of a circle.

1 kilometer is equal to 0.621371 miles (to 6 decimal places).

So, 11.27 kilometers is equal to: 11.27 km × 0.621371 mi/km = 7.00142 miles

Now, we can find the area covered by two-way radio B:

A = π(7.00142)²

A = 153.94π

A ≈ 483 square kilometers

Therefore, two-way radio B covers approximately 483 square kilometers.

Part C:

We can compare the areas covered by the two-way radios by using their respective areas calculated in Part A and Part B.

Area covered by two-way radio A = 201 square miles

Area covered by two-way radio B = 483 square kilometers

We need to convert the area covered by two-way radio B to square miles in order to compare the two areas. We know that 1 mile is equal to 1.61 kilometers, so:

1 square mile = (1.61)² square kilometers

1 square kilometer = (1/1.61)² square miles

1 square kilometer = 0.386 square miles (rounded to 3 decimal places)

Therefore, the area covered by two-way radio B in square miles is:

483 km²× 0.386 mi²/km² ≈ 186 square miles

Now we can compare the two areas:

Area covered by two-way radio A = 201 square miles

Area covered by two-way radio B = 186 square miles

Since 201 is greater than 186, two-way radio A covers the larger area.

Part D:

To determine the scale factor relationship between the radio coverages, we can compare their radii.

The radius of two-way radio A is 8 miles.

The radius of two-way radio B is 11.27 kilometers, which is approximately 6.997 miles (as calculated in Part B).

The scale factor is the ratio of the radii of the two circles.

So,scale factor = radius of two-way radio B / radius of two-way radio A

scale factor = 6.997 / 8

scale factor ≈ 0.8746

Therefore, the scale factor relationship between the radio coverages is approximately 0.8746.

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1/2  will be the probability of getting odd numbers if a dice is

thrown.

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out.  

                                Statistics describes the examination of events subject to probability. Probability is a measure of how likely or likely-possible something is to happen. For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail). P(heads) = 12 is the formula.

The total number of possible outcomes n=6.

Sample space = 1,2,3,4,5,6

odd nos. = 1, 3, 5

probability of getting odd nos.= 3/6  = 1/2

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The cash back you would receive on your purchases of $2,738.21 using this credit card is $33.92.

To calculate the cash back you would receive using the given credit card, we need to multiply the total amount spent in each category by the corresponding cash back percentage, and then add up those amounts.

For gas purchases, you spent $134.92, so the cash back earned on that amount would be:

$134.92 x 3% = $4.05

For grocery store purchases, you spent $384.23, so the cash back earned on that amount would be:

$384.23 x 2% = $7.68

For all other purchases, you spent a total of:

$2,738.21 - $134.92 - $384.23 = $2,219.06

So the cash back earned on that amount would be:

$2,219.06 x 1% = $22.19

Adding up the cash back earned in each category, we get:

$4.05 + $7.68 + $22.19 = $33.92

∴ Cashback = $33.92

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Answer:

34

Step-by-step explanation:

1)Simplify 5−2 to 3

2+5+6+7×3

2)Simplify 7×3  to 21.

2+5+6+21

3)Simplify 2+5  to 7.

7+6+21

4)Simplify 7+6 to 13.

13+21

5)Simplify.

34

Answer:

Step-by-step explanation:

cos(x)=1

Choose all answers that apply

A. 0°

B.90°

C.360°

D.540°

E. 720°

F.1080°

Answer:

C or E

Step-by-step explanation:

The answer should be choice.C or E

Nope, and there's an stereotype on medical doctors that their signature is just a garbled or gibberish, which very often is true

these days we also have "digital signatures" you can include in an email, which are just encrypted material verifyable by some encryption keys, it varies but the leading ones are PGP and/or GPG types

so valid is one that's consistent, could be your fingerprint if you wish, and due to its consistency also verifyable.

Let's start by finding out how much money Keiko spent on coffee. She started with an $80 gift card and ended up with $43.15 left, so she spent:

$80 - $43.15 = $36.85

We also know that the coffee costs $7.37 per pound. Let's use "x" to represent the number of pounds of coffee Keiko bought. Then we can set up an equation:

$7.37x = $36.85

To solve for x, we can divide both sides by $7.37:

x = $36.85 ÷ $7.37

x = 5

So Keiko bought 5 pounds of coffee.

Answer: : The point (4,5)

Step-by-step explanation:

Answer:

The mean is 19.6. you have to add up all the numbers given and divide it by the number of numbers which in this case it's 18+18+19+21+22=98

98/5=19.6

The median is the middle number when you arrange the numbers in order therefore it's 19

The mode is that number which appears the multiple time in the numbers given therefore it's 18

The nurse should administer 19.958 mg of furosemide per dose to the toddler.

To use the unitary method, we need to convert the toddler's weight from pounds to kilograms, as the dose is given in mg/kg/day.

1 lb = 0.45359237 kg (conversion factor)

Therefore, the toddler's weight in kilograms is

22 lb x 0.45359237 kg/lb = 9.979 kg (rounded to three decimal places)

Now we can calculate the total daily dose of furosemide for the toddler

4 mg/kg/day x 9.979 kg = 39.916 mg/day (rounded to three decimal places)

Since the dose is divided into 2 equal doses daily, each dose would be half of the total daily dose

39.916 mg/day ÷ 2 = 19.958 mg/dose (rounded to three decimal places)

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the space is A there because A is the one

Answer:

The answer is B

Step-by-step explanation:

The asymptote of this graph is -4. If you look at the bottom of the graph, the line is going flat to -4, that means it's the asymptote. B has the only option where -4 occurs. Therefore, it's B.

Hope this helps.

The percent increase when [tex]$x$[/tex] increases by one unit is approximately 15.8%.

What is exponential function?

An exponential function is a mathematical function of the form:

[tex]f(x) = a^x[/tex]

where a is a constant greater than zero and not equal to 1, and x is the variable that takes on real numbers.

To find the percent increase for the exponential function [tex]$A = 82\times 1.16^x$[/tex], we need to find the ratio of the final value to the initial value, subtract one, and then multiply by 100 to convert to a percentage.

Let's suppose we are interested in finding the percent increase when [tex]$x$[/tex] increases by one unit. We can start by calculating the initial value of [tex]$A$[/tex] when [tex]$x = 0$[/tex]:

[tex]$$A = 82 \times 1.16^0 = 82$$[/tex]

Then we can calculate the final value of [tex]$A$[/tex] when [tex]$x = 1$[/tex]:

[tex]$$A = 82 \times 1.16^1 \approx 95.12$$[/tex]

Now we can find the ratio of the final value to the initial value:

[tex]$\text{ratio} = \frac{\text{final value}}{\text{initial value}} = \frac{95.12}{82} \approx 1.158$$[/tex]

Next, we subtract one and multiply by 100 to get the percent increase:

[tex]$$\text{percent increase} = (\text{ratio} - 1) \times 100 \approx (1.158 - 1) \times 100 \approx 15.8%$$[/tex]

Therefore, the percent increase when [tex]$x$[/tex] increases by one unit is approximately 15.8%.

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Answer:

Step-by-step explanation:

yes yes no 180 which is an angle of time

Answer:

. yes no.180 is angle of time

The value of the given integral function is 10 and option d is the correct answer.

Any function that may be drawn without removing the pen from the page is said to be continuous. Formally, a function f(x) is continuous at a point c if all three of the following criteria are true:

Definition of f(c) (i.e., c is in the domain of f).

When x gets closer to c, f(x) reaches its maximum.

The limit of f(x) as x gets closer to c equals f. (c).

A function is said to be continuous if it is continuous over its whole domain. In mathematics and the sciences, continuous functions have a wide range of useful features and applications.

For the given function the integral can be written as follows:

[tex]\int\limits^2_{-4} {f(x)} \, dx = \int\limits^0_{-4} {\frac{x^2}{|x|} } \, dx + \int\limits^2_0 {\frac{x^2}{|x|} \, dx[/tex]

[tex]= [\frac{x^2}{2} ]_{-4}^0 + [\frac{x^2}{2} ]_{0}^2\\= 8 + 2\\= 10[/tex]

Hence, the value of the given integral function is 10 and option d is the correct answer.

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When P(opposed | Grade 12) exceeds P(Grade 12 | opposed), the correct response is: P(opposed | Grade 12) P(opposed | Grade 12) (Option C)

An arrangement of things in a particular order is known as a permutation in mathematics. In more detail, an arrangement of a set's members in a certain order is known as a permutation. To give one example, the set 1, 2, 3 contains six permutations: 1, 2, 3, 1, 2, 3, 1, and 3, 2, 1. The formula P(n, r) is frequently used to express permutations, which are the various methods to select r things from a group of n objects and arrange them in a particular order. P(n, r) has the following formula: P(n, r) equals n!/(n-r)!  where the factorial of n is represented by n! (i.e., the product of all positive integers from 1 to n).

given

Using Bayes' theorem, we can contrast P(Grade 12 | opposed) with P(grade 12 | opposed):

Grade 12 opposition formula: P(opposed) = P(Grade 12 opposition) * P(opposed) / P (Grade 12)

The table contains the values we require:

P(grade twelve) = (12+6+11)/(5+3+9+8+12+9+15+16+10+12+6+11) = 0.15 P(opposition) = (3+12+16+6)/(5+3+9+8+12+9+15+16+10+12+6+11) = 0.5 P(opposition | grade twelve) = 6/(12+6+11) = 0.24

Although we do not directly know the value of P(Grade 12 | opposed), we can calculate it using the following formula:

P (12th grade | opposed) = P (12th grade | opposed) * P (12th grade | opposed) / P (12th grade | opposed) = 0.24 * 0.15 / 0.5 = 0.072

As a result, we have:

P (12th grade | opposed) = 0.072 P (12th grade | opposed) = 0.24

When P(opposed | Grade 12) exceeds P(Grade 12 | opposed), the correct response is: P(opposed | Grade 12) P(opposed | Grade 12) (Option C) .

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Yes, the ratio of the hypotenuse to a leg is the same for all isosceles right triangles.

What is hypotenuse ?

In a right triangle, the hypotenuse is the side that is opposite to the right angle. It is also the longest side of the triangle. The hypotenuse is always opposite the right angle and is found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In a right triangle with legs of length "a" and "b", the length of the hypotenuse "c" can be found using the formula:

[tex]c^2 = a^2 + b^2[/tex]

Taking the square root of both sides gives us:

[tex]c = \sqrt{a^2 + b^2}[/tex]

The hypotenuse plays an important role in trigonometry, as it is used in the calculation of trigonometric ratios such as sine, cosine, and tangent.

According to the question:
Yes, the ratio of the hypotenuse to a leg is the same for all isosceles right triangles.

In an isosceles right triangle, the two legs are congruent, which means they have the same length. Let's call the length of each leg "a". The hypotenuse of the triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the legs:

[tex]hypotenuse^2 = a^2 + a^2 = 2a^2[/tex]

Taking the square root of both sides, we get:

[tex]hypotenuse = \sqrt{2a^2} = a * \sqrt{2}[/tex]

So, the ratio of the hypotenuse to a leg is:

[tex]hypotenuse / a = (a * \sqrt{2}) / a = \sqrt{2}[/tex]

This shows that the ratio of the hypotenuse to a leg in an isosceles right triangle is always equal to the square root of 2, which is a constant value. Therefore, the ratio is the same for all isosceles right triangles.

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