Find the length of WS br />A.132.59
B.134.24
C.21.26
D.3.33

Answer:

Step-by-step explanation:

1)  DE = 6/sin63 = 6.7

DF = 6/tan63 = 3.1

m∠E = 180 - 90 - 63 = 27°

2)  tan30 = 1/√3 = UV / (27√10)

UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30

3)  cosV = 3/8

cos⁻¹(3/8) = 68

m∠V = 68°

Answer: False

Step-by-step explanation:

If the function has a negative slope, then it will decrease.

a) Expected value of x = 2.82

b) Variance of x = 4.4732

c) Standard deviation for x = 2.1145

To find the expected value of x, we need to multiply each value of x by its corresponding probability and then sum the results

E(x) = (0)(1) + (1)(0.15) + (2)(0.13) + (3)(0.07) + (4)(0.55)

= 0 + 0.15 + 0.26 + 0.21 + 2.2

= 2.82

Therefore, the expected value of x is 2.82.

To find the variance of x, we need to first find the squared deviations of each value of x from the expected value

(0 - 2.82)^2(1) + (1 - 2.82)^2(0.15) + (2 - 2.82)^2(0.13) + (3 - 2.82)^2(0.07) + (4 - 2.82)^2(0.55)

= 8.4961

Then, we can calculate the variance as the weighted average of these squared deviations, using the probabilities as weights

Var(x) = 8.4961/1.9

= 4.4732

Therefore, the variance of x is 4.4732.

Finally, the standard deviation of x is the square root of the variance

SD(x) = sqrt(4.4732)

= 2.1145

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Answer:

1.20

Step-by-step explanation:

120% is 120/100 and that equals 1.20 another way is to just remember that when you have a percent of a number and you need to put it in decimal form move the decimal place to the left twice.

i hope this helps!

Answer:

Step-by-step explanation:

1.2

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

5 + 7 = 12 total fruits, which means that \(N = 12\)

7 apples, which means that \(k = 7\)

You receive 2 fruits, which means that \(n = 2\)

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182\)

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

The key features of the given quadratic functions are listed below.

In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.

For the quadratic function y = 3x² - 5, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, -5).

Domain: [-∞, ∞]

Range: [-5, ∞]

For the quadratic function y = -2x² + 12x - 15, the key features are as follows;

Axis of symmetry: x = 3.

Vertex: (3, 3).

Domain: [-∞, ∞]

Range: [-∞, 3]

For the quadratic function y = -x² + 1, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, 1).

Domain: [-∞, ∞]

Range: [-∞, 1]

For the quadratic function y = 2x² - 16x + 30, the key features are as follows;

Axis of symmetry: x = 4.

Vertex: (4, -2).

Domain: [-∞, ∞]

Range: [-2, ∞]

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Answer:

x=3, = -2

Step-by-step explanation:

Step-by-step explanation:

Answer is in the photo

Hope it helllps

Good luck

The division of the number 405 in the ratio 4:11 is 297 and 108 respectively.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio is 4:11. the number is 405 which has to be divided by the ratio.

Let the common ratio between the numbers is x. Form an equation and solve for x.

4x + 11x = 405

15x = 405

x = 405 / 15

x = 27

The numbers are,

4x = ( 4 x 27 ) = 108

11x = ( 11 x 27 ) = 297

Therefore, the division of the number 405 in the ratio 4:11 is 297 and 108 respectively.

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Answer:

4(x - 3)

Step-by-step explanation:

4x = 4 * x

12 = 4 * 3

GCF = 4

4x - 12 = 4*x - 4*3

           = 4(x - 3)

                                                                                    the second one.

............................

Answer:

Step-by-step explanation:

We need to find the difference in progress:

The first student is 1/12 ahead

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.

The most common symbols used in inequalities are:

">" (greater than): indicates that the value on the left side is larger than the value on the right side.

"<" (less than): indicates that the value on the left side is smaller than the value on the right side.

"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.

"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.

"≠" (not equal to): indicates that the values on both sides are not equal.

Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

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Answer:

1. Ninguna

2. Ningunas

3. Ningún

4. Algunos

5. Algunas

6. Ninguno

7. Algunas

8. Algún

1. Nadie va al laboratorio.

2. Ella nunca presta atención.

3. No aprende nada de memoria.

4. No hay ningunas sillas en la sala.

5. Nunca llevas el carnet de identidad.

Step-by-step explanation:

Answer:

1. 22 - 8 = 14

2. 14 + 2 = 16

3. 16 - 5 = 11

4. 11 + 2 = 13

Answer:  13 and steps above

Step-by-step explanation:

Answer:

5

Step-by-step explanation: Use PEMDAS, you do addition and then subtraction first because A is before S.  When you solve it you have to go from left to right.

22 - 8 + 2 - 5 + 2 =

8 + 2 = 10

22 - 10 - 5 + 2 =

5 + 2 = 7

22 - 10 - 7 =

22 - 10 = 12

12 - 7 = 5

I hopr this helps! Have a great day!

The linear equation that describes this situation is:

y = 2500 + 300*x

A general linear equation is written as:

y = ax + b

where a is the slope and b is the initial value.

Here we know that she starts with 2,500 points in the game, and then she wins 300 points for every minute.

Then the initial value is 2,500, and the slope is 300, then we can write the linear equation:

y = 2500 + 300*x

That is the correct option.

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Answer:

b=133 degrees

c= 47 degrees

Step-by-step explanation:

If you need an explanation, I will put it in the comments.

Answer:

2 and -9

Step-by-step explanation:

2 times -9 is -18

2 plus -9 is -7

Hope this helped!

The solution to the inequality is: x <= -8 or x >= -8 and [-24, -11] U [7, 24] for number line.

What is inequality?

An inequality is a mathematical statement indicating that one expression is less than or greater than another expression. It involves the use of inequality symbols such as <, >, ≤, or ≥ to compare two values.

|(1/4)x + 2| + 4 >= 8

First, we isolate the absolute value term on one side by subtracting 4 from both sides:

|(1/4)x + 2| >= 4

Next, we split the inequality into two cases: one where the quantity inside the absolute value is positive, and one where it is negative:

(1/4)x + 2 >= 0 or (1/4)x + 2 <= 0

Solving for x in each case, we get:

(1/4)x >= -2 or (1/4)x <= -2

x >= -8 or x <= -8

Therefore, the solution to the inequality is:

x <= -8 or x >= -8

Or, in interval notation:

(-∞, -8] U [-8, ∞)

B. -24 -20 -16 -12 -8 -4 0 4 8 12 16 20 24

And the solution would be:

[-24, -11] U [7, 24]

The closed dot at -24 indicates that -24 is included in the solution, while the open dot at -11 indicates that -11 is not included.

The closed dot at 7 indicates that 7 is included, while the closed dot at 24 indicates that 24 is included in the solution.

Therefore, the solution to the inequality is: x <= -8 or x >= -8 and [-24, -11] U [7, 24] for number line.

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Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer: 69 square meters

Step-by-step explanation:

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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The percentage of the council members who voted in favor of the tax is 50%.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the council has 76 members out of which 38 members voted in favor of the tax.

The percentage amount of members who favor the tax is:
(38/76) × 100%

= 50%

Hence, the percentage of the council members who voted in favor of the tax is 50%.

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Answer:

πr of length

»» 3.14 x (5)²

»» 3.14 x 30 = 94.2cm²

πr of base

»» 3.14 x (4)²

»» 3.14 x 16 = 50.24cm²

Length x base

»» 94.2cm² x 50.25cm²

A= 4733.55cm²

\(\color{yellow}{}\)\(\color{yellow}{}\)\(\color{yellow}{}\)\(\color{yellow}{}\)\(\color{yellow}{}\)

Explanation

In solving the question, we will make use of the law: Triangle of forces

The triangle law of forces can also be stated as, if a body is in equilibrium under the action of three forces acting at a point, then the three forces can be completely represented by the three sides of a triangle taken in order.

So in our case, we will have the sketch

Solving for the angle, we will have

The angle between the largest and the smallest forces is 38.66 degrees

The answer to the Mixed fraction 3 2/3- 1 4/5 is 1 13/15

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator

Converting the mixed fraction 3 2/3- 1 4/5 to an improper fraction.

= 11/3 - 9/5

Using the denominator of 3 and 5

= \(\frac{\frac{11}{3}-\frac{9}{5} }{15}\)

= \(\frac{55-27}{15}\)

Simplifying the numerator

=28/15

converting to mixed fraction

hence the result of the mixed fraction 3 2/3- 1 4/5 is 1 13/15

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Answer:

  30 inches

Step-by-step explanation:

Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.

For 3-inch letters, the banner length will be 30 inches.

Answer:

30 ft

Step-by-step explanation:

**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**

Create a ratio of letter height to length of phrase for the sketch and the banner.  Let x be the length of the banner.

NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.

Ratio:                      letter height : length of phrase

Sketch (in inches):                   2 : 20

Banner (in feet):                       3 : x

Equate the ratios and solve for x:

\(\sf \implies 2 : 20 = 3 : x\)

\(\sf \implies \dfrac{2}{20}=\dfrac{3}{x}\)

\(\sf \implies 2x=3 \cdot 20\)

\(\sf \implies 2x=60\)

\(\sf \implies x=\dfrac{60}{2}\)

\(\sf \implies x=30\)

Therefore the length of paper your should buy to make the banner is 30ft.

The general solution for the equation 5tan(θ) - 6cos(θ) = 0 is:

θ = sin⁻¹(2/3) + nπ, where n is an integer.

To determine the general solution of the trigonometric equation 5tan(θ) - 6cos(θ) = 0, we can use algebraic manipulation and trigonometric identities to simplify and solve for θ.

Starting with the given equation:

5tan(θ) - 6cos(θ) = 0

First, we can rewrite the tangent function in terms of sine and cosine:

5(sin(θ)/cos(θ)) - 6cos(θ) = 0

Next, multiply through by cos(θ) to eliminate the denominator:

5sin(θ) - 6cos²(θ) = 0

Using the identity sin²(θ) + cos²(θ) = 1, we can express cos²(θ) as 1 - sin²(θ):

5sin(θ) - 6(1 - sin²(θ)) = 0

Expanding and rearranging terms:

5sin(θ) - 6 + 6sin²(θ) = 0

Rearranging the equation:

6sin²(θ) + 5sin(θ) - 6 = 0

Now, we have a quadratic equation in terms of sin(θ).

We can solve this quadratic equation by factoring or using the quadratic formula.

However, since this equation is not easily factorable, we will use the quadratic formula:

sin(θ) = (-b ± √(b² - 4ac)) / 2a

For our equation:

a = 6, b = 5, c = -6

Plugging these values into the quadratic formula and simplifying, we get:

sin(θ) = (-5 ± √(5² - 4(6)(-6))) / (2(6))

sin(θ) = (-5 ± √(25 + 144)) / 12

sin(θ) = (-5 ± √169) / 12

sin(θ) = (-5 ± 13) / 12.

This gives us two possible solutions for sin(θ):

sin(θ) = (13 - 5) / 12 = 8/12 = 2/3

sin(θ) = (-13 - 5) / 12 = -18/12 = -3/2

Since the range of the sine function is -1 to 1, the second solution (-3/2) is not valid.

Now, to find the values of θ, we can use the inverse sine function (sin⁻¹) to solve for θ:

θ = sin⁻¹(2/3)

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Answer:

Step-by-step explanation:

13,000

Answer:

22years old

Step-by-step explanation:

Let Fiona's age = x

Darwin age

2x+6 = 50

2x = 50 -6

2x = 44

x= 44/2

x = 22years old

Answer:

the equilibrium will shift towards the side