Hank's gas tank holds 18.5 gallons. If the tank has 6 gallons of gasoline in it, what percent of the tank is empty?

The length of the fabric is 15cm.

What is Pythagoras' theorem?

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Here, we have

Given: Elijah takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut he makes is 17 inches long and the width of the fabric is 8 inches.

We have to find the fabric's length.

We apply here Pythagoras theorem and we get

a² + b² = c²

a² +  (8)² = (17)²

a² +64 = 289

a²  = 289 - 64

a²  = 225

a = 15

Hence, the length of the fabric is 15cm.

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Answer:

Answer is 80%

Step-by-step explanation:

40% is 80% of 50.

I hope it's helpful!

Answer:

80%

Step-by-step explanation:

40 /50  x 100% = 80%

Answer:

Other than one, products to prime numbers.

Step-by-step explanation:

1=1x1 (But 1 isn't prime, so it's the exception.)

3=1x3 (1 isn't prime, but it'll pass.)

6=2x3 (Prime and prime)

10=2x5(Prime and prime)

15=3x5(Prime and Prime)

I also guess you could call these NOT prime numbers, because you can't call these composite, since one is neither prime or composite.

DUBS, Signing off, GETTING 5 BRAINLIEST CHALLENGE!

The complex numbers -2.7e^(√7) + 4.3e^(√5) can be expressed as approximately -6.488 - 0.166i in rectangular form and approximately 6.494 ∠ -176.14° in polar form.

To express the given complex numbers in rectangular form and polar form, we need to understand the representation of complex numbers using exponential form and convert them into the desired formats. In rectangular form, a complex number is expressed as a combination of a real part and an imaginary part in the form a + bi, where 'a' represents the real part and 'b' represents the imaginary part.

In polar form, a complex number is represented as r∠θ, where 'r' is the magnitude or modulus of the complex number and θ is the angle formed with the positive real axis.

To convert the given complex numbers into rectangular form, we can use Euler's formula, which states that e^(ix) = cos(x) + isin(x), where 'i' is the imaginary unit. By substituting the given values, we can calculate the real and imaginary parts separately.

The real part can be found by multiplying the magnitude with the cosine of the angle, and the imaginary part can be obtained by multiplying the magnitude with the sine of the angle.

After performing the calculations, we find that the rectangular form of -2.7e^(√7) + 4.3e^(√5) is approximately -6.488 - 0.166i.

To express the complex numbers in polar form, we need to calculate the magnitude and the angle. The magnitude can be determined by calculating the square root of the sum of the squares of the real and imaginary parts. The angle can be found using the inverse tangent function (tan^(-1)) of the imaginary part divided by the real part.

Upon calculating the magnitude and the angle, we obtain the polar form of -2.7e^(√7) + 4.3e^(√5) as approximately 6.494 ∠ -176.14°.

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Answer:

1/3 chance of getting 5 dollars and 1/3 cahnce of key chain

Step-by-step explanation:

give brainliest :) pls

The vertex form of the expression is y = (x-4)²-1

What is vertex form?

In this little tutorial, we'll look at how to change a standard form into a vertex form and vice versa. A parabola's equation can be shown in various ways, including standard form, vertex form, and intercept form. Any of these forms can be changed into either of the other two depending on the situation. We will discover how to convert in this article.

The vertex form is y = (x-h)² + k

The only term with x with 2hx from the vertex form and 8x in order to form a standard form.

The given expression is x²-8x+15,

So 2hx = -8x

h = 4

Substituting  in the original expression we will have

y = (x-4)²-1

Hence this is in vertex form.

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Answer:

I think the answer is:

66.24

Answer:

92 percent of 74 is 68.08

Step-by-step explanation:

74 times 0.92 =68.08

or

74 times 92% =68.08

or

74 times 92 =6808 Put the decimal to points to the right =68.08

Answer:

The correct option is;

∠A ≅ ∠A ; reflective property

Step-by-step explanation:

1. ΔABC is isosceles with legs AB and AC

ΔAYX is also isosceles with legs AY and AX

2. AB ≅ AC and AY ≅ AX (Definition of isosceles triangle)

3. AB = AC and AY = AX (Definition of congruency)

4. AY · AC = AX · AC (Multiplication property of equality)

5. AY · AC = AX · AB (Substitution property of equality)

6. \(\dfrac{AC}{AX} = \dfrac{AB}{AY}\) (Division property of equality)

7. \(\dfrac{AC}{AX} = \dfrac{AB}{AX}\) (Division property of equality)

8. ∠A ≅ ∠A ; reflective property

9. ΔABC ~ ΔAXY SAS similarity theorem (The two triangles have the same vertex angle A hence they are similar based on the Side Angle Side theorem for uniqueness of triangles.

Answer:

∠A ≅ ∠A; reflexive property

Step-by-step explanation:

i got it right on the unit test..

The number of people who like red color is 255 students when 85% said their favorite color was red.

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage.

Given:

Total students =300

85% said their favorite color was red.

So, students whose favorite color was red

=85/100 *300

=85*3

= 255 students.

Hence, 255 students whose favorite color was red

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Answer:

Step-by-step explanation:

Answer:

4 and one-half

Step-by-step explanation:

bc it is

Based on the number of balloons available and the requirement that every color should be in an arrangement, the greatest number of arrangements that can be made is 7 arrangements.

To find the largest number of arrangements that can be made of the given 35 white balloons and 42 red balloons, look for the highest common factor of these numbers.

Factors of 35:

= 1, 5, 7 and 35.

Factors of 42:

= 1, 2, 3, 6, 7, 14, 21 and 42.

The highest common factor is therefore 7 which means that 7 is the greatest number of arrangements that can be made.

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The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.

To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.

On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.

Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.

Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.

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Therefore, we have successfully completed the proof that △QRS ≅ △QTS.

To complete the proof that △QRS ≅ △QTS, we need to show that they are congruent triangles based on the given information.

Given: QS bisects ∠RQT and ∠RST

Proof:

QS bisects ∠RQT and ∠RST (Given)

∠RQS ≅ ∠SQS (Angle bisector definition)

∠SQR ≅ ∠SQT (Angle bisector definition)

QR ≅ ST (Given)

∠QSR ≅ ∠QTS (Vertical angles are congruent)

△QRS ≅ △QTS (By angle-angle-side congruence)

By showing that ∠RQS ≅ ∠SQS and ∠SQR ≅ ∠SQT (angles are bisected), QR ≅ ST (given), and ∠QSR ≅ ∠QTS (vertical angles), we can conclude that △QRS ≅ △QTS based on the angle-angle-side (AAS) congruence criteria.

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The area of the triangle with the given vertices is 2 square units.

Area =

Area = (1/2) |((-1)(4 - 8) + (0)(8 - 4) + (-2)(4 - 4))|

Area = (1/2) |(-1 * (-4) + 0 * (4) + (-2) * 0)|
Area = (1/2) |(4)|

Area = (1/2) * 4
Area = 2

So, the area of the triangle with the given vertices is 2 square units.

The area of the triangle with the given vertices is 2 square units.

To find the area of the triangle with the given vertices (-1, 4), (0, 4), and (-2, 8), follow these steps:

1. Label the vertices: A(-1, 4), B(0, 4), and C(-2, 8).

2. Use the Shoelace Formula to find the area:

Area = (1/2) * |[(xA * (yB - yC)) + (xB * (yC - yA)) + (xC * (yA - yB))]|

3. Plug in the coordinates of the vertices:

Area = (1/2) * |[(-1 * (4 - 8)) + (0 * (8 - 4)) + (-2 * (4 - 4))]|

4. Calculate the values inside the brackets:

Area = (1/2) * |[(-1 * (-4)) + (0 * 4) + (-2 * 0)]|

5. Continue calculating:

Area = (1/2) * |[4 + 0 + 0]|

6. Calculate the final area:

Area = (1/2) * 4 = 2

The area of the triangle with the given vertices is 2 square units.

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Answer:

answer

Step-by-step explanation:

9-3 = 6

6  divided by  1/3  is (3x6) = 18

18 + 1 = 19

Answer:

the answer is 19

Step-by-step explanation:

Answer:

720 = 36*20

Step-by-step explanation:

720 = 36*20

so, count the good ones here and multiply by 20 to estimate the larger amount.

48.15% people visited one of the three coffee shops on monday

The scholars discovered that;

518 people went to Cool Beans, 974 to Planet Euro, and 1,160 to Frothies.

Assume that x% of Monday's customers at each of the three coffee shops were x.

One hundred thirty-five people went to Cool Beans on Monday.

Of the total number of customers who went to one of the three coffee shops on Monday, 52% went to Cool Beans.

Consequently, 52/100 * x = 135

The calculation for x is (135*100)/52.

x = 260 individuals

On Monday, the following number of visitors visited either PlanetEuro or Frothies:

260-135 =125

Calculating the percentage of Monday visitors to either PlanetEuro or Frothies;

135= 52%

125=?

Cross-product as you

(125*52)/135 =48.15%

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Answer:

French: la somme d'un nombre inconnu et 12

Spanish: la suma de un número desconocido y 12

Latin: XII numerus ignotus est et summa

Step-by-step explanation:

While a common rule of thumb is to have a minimum sample size of 100 for continuous data to be statistically significant, the actual appropriate sample size may vary depending on the specific study design and research question. Option(D)

In statistics, the term "statistical significance" refers to whether an observed effect or relationship in the data is likely to be real and not just due to random chance. To determine statistical significance, we often perform hypothesis testing.

The sample size is a crucial factor in hypothesis testing. A larger sample size generally provides more reliable and precise estimates of population parameters and increases the statistical power of the test. With a larger sample size, even smaller effects or differences between groups can become statistically significant.

While there is no hard and fast rule for the minimum sample size to achieve statistical significance, a common guideline is to aim for at least 30 samples. This guideline is often used in the context of the Central Limit Theorem, which states that the sampling distribution of the sample mean becomes approximately normally distributed 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.

In practice, the appropriate sample size depends on various factors, including the nature of the data, the effect size being studied, the desired level of confidence, and the statistical test used. Researchers often conduct sample size calculations based on these factors before conducting their studies to ensure they have an adequate sample size to achieve meaningful results and detect significant effects if they exist.

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Recall that for a, b, and c to be the lengths of a triangle they must satisfy the following inequalities:

Therefore, if we call the other side x, it must satisfy that:

Solving each inequality for x, we get:

Therefore, x must be greater than 3 inches but less than 15 inches.

Answer: The possible lengths of the third side must be greater than 3 inches but less than 15 inches

Answer:

Survey/Pie Chart

Step-by-step explanation:

If you are getting multiple peoples opinion, you will need a survey to get the results, which you can fill in on a pie chart later on to see if the proportion of people who like eggplant/aubergine is greater than 40%

Solution :

Cost of 1 kg super tea mixture

\($=\frac{1(1600)+5(800)+1(1700)}{1+5+1}$\)

\($=\frac{1600+4000+1700}{7}$\)

\($=\frac{7300}{7}$\)

= 1042.8

≈ 1043

Include of cost blending and packaging.

So, cost of 1 kg is 1043 + 40 = 1083

Cost of packaging of 825 gram super tea = \($\frac{825}{1000} \times 1083$\)

                                                                     = 893.47

50. \(x < 10\)

51. \(a \geqslant 11\)

52. \(y \leqslant 16\)

53. \(6 < n\)

54. \(x > m\)

55. \(k > 24\)

a) The expected winning probability for a single game defined is: $3.59

b) The standard deviation of winning is: $10.11

a) If the game costs $5 to play, the expected winnings are: - $0.79

If the game costs $5 to play, the standard deviation of winning is $11.33.

Because the projected winning value is negative, the game should not be played with a -$5 playtime charge.

The total number of hearts in a deck is 13.

The probability of drawing three hearts is:

P(drawing 3 Hearts)

13 ÷ 52 × 12 ÷ 51 × 11 ÷ 50 = 0.0129

The probability of selecting three black cards is:

A deck of black cards has 26 cards.

P (drew three black cards):

26 ÷ 52 × 25 ÷ 51 × 24 ÷ 50 = 0.1176

Any other draw probability: P(3 hearts) + P(3 blacks) + P(any other draw) = 1.

858 ÷ 66300 + 7800 ÷ 66300 + P(any other draw) = 1

P(any other draw) = 57642 ÷ 66300

For only one game,

E(X) = Σ[ X × p(X)]

E(X) =Σ[(50 × 858 ÷ 66300) + (25 × 7800 ÷ 66300)+0]

E(X) = $3.588

b) The standard deviation is equal to √Var(X)

Var(X) = Σ[ X² × p(X)] - E(X)

Σ[ X² × p(X)] = Σ[(50² × 858 ÷ 66300) + (25² × 7800 ÷ 66300) + 0] = 105.88235

Var(X) = 105.88235 - 3.588 = 102.29435

Winning standard deviation = √102.29435 = $10.114

If the game cost $5 to play :

The total sum won if and only if:

Three sketched hearts = $50 - $5 = $45

Three blacks are drawn for a total of $25 - $5 = $20.

Any other combination drawn = $0 - $5 = -$5

The distribution is as follows:

E(X) = Σ[ X × p(X)]

E(X) =Σ[(50 × 858 ÷ 66300) + (25 × 7800 ÷ 66300) + (-5 × 57642 ÷ 66300)]

E(X) = - $0.7588

The winning standard deviation is:

The standard deviation is equal to √Var(X)

Var(X) = Σ[ X² × p(X)] - E(X)

Σ[ X²×p(X)] = Σ[(50² × 858 ÷ 66300) + (25² × 7800 ÷ 66300) + (-5² × 57642 ÷ 66300)] = 127.61764

Var(X) = 127.61764 - (-0.7588) = 128.37644

The winning standard deviation is:

Std(X) = √Var(X) = √128.37644 = $11.330

With a game cost of - $5, the predicted winnings for a single game are negative, hence you should avoid playing the game.

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Answer:

An E

Step-by-step explanation:

Answer:

e comes in every odd number

i.e. one,three,five,seven,nine,eleven......

Step-by-step explanation:

In summary, we are asked to determine the number of independent parameters in a Naive Bayes classifier. The Naive Bayes classifier is a probabilistic machine learning model that assumes independence between features given the class label.

To calculate the number of independent parameters, we need to consider the number of features and the number of classes in the dataset. For each feature, the classifier estimates the conditional probability of that feature given each class. . Therefore, the total number of independent parameters in the Naive Bayes classifier can be calculated by multiplying the number of features by the number of classes, and then multiplying the result by the number of possible values for each feature. For example, if we have m features, k classes, and n possible values for each feature, the total number of independent parameters would be m k n. Each independent parameter represents a specific conditional probability value in the Naive Bayes model. It's important to note that the Naive Bayes assumption of feature independence simplifies the model and reduces the number of parameters required for training. However, it also introduces a limitation in cases where the features are not truly independent.

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The dimensions of the box can be represented as (6-2x) inches by (24-2x) inches by "x" inches.

From a 24-inch by 6-inch piece of cardboard, square corners are cut so the sides can fold up to form a box without a top. To determine the dimensions and construct the box, we need to consider the shape of the cardboard and the requirements for folding and creating the box.

The initial piece of cardboard is a rectangle measuring 24 inches by 6 inches. To form the box without a top, we need to remove squares from each corner.

Let's assume the side length of the square cutouts is "x" inches. After cutting out squares from each corner, the remaining cardboard will have dimensions (24-2x) inches by (6-2x) inches.

To create a box, the remaining cardboard should fold up along the edges. The length of the box will be the width of the remaining cardboard, which is (6-2x) inches.

The width of the box will be the length of the remaining cardboard, which is (24-2x) inches. The height of the box will be the size of the square cutouts, which is "x" inches.

Therefore, the dimensions of the box can be represented as (6-2x) inches by (24-2x) inches by "x" inches. To construct the box, the remaining cardboard should be folded along the edges, and the sides should be secured together.

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