How do you solve a 30 60 90 triangle given only the hypotenuse?

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The expected winnings from one flip are the possibility that an unfair coin will land on heads with a probability of $2.

Measurement of the likelihood that an event will occur or a claim is true is done via probability theory, a branch of mathematics. The probability of an event is a number between 0 and 1, with 1 denoting certainty and 0 roughly indicating how likely it is that the event will occur. A probability is a numerical representation of how likely it is that a certain event will take place. Probabilities can also be expressed as ranges of 0% to 100% or 0 to 1. the proportion of occurrences in a full set of equally likely possibilities that lead to a particular occurrence relative to the total number of outcomes.

given

expected value,  E(x) = 0.6*4 + 0.2*-1 + 0.2*-10

= 2.18

≈ $2

The expected winnings from one flip are the possibility that an unfair coin will land on heads with a probability of $2.

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Answer:

x=12 or x=2

Step-by-step explanation:

Answer:

5a+13

Step-by-step explanation:

17-7a+12a+6

combine like terms

-7a+12a+7+6

simplify

5a+13

Answer: 5

Step-by-step explanation:

17 - 7a + 12a + 6  

1. Combine similar terms:

17 - 7a + 12a + 6 = 23 + 5a = 5a+23

The number that goes into the green box is 5.

To graph a log function by hand, you need to determine the type of log function you are graphing, what the base of the function is, and what the x and y values of the function are.

Then, determine the range of x and y values that you want to graph. Plotting points on the graph for each x and y value will give you the graph for the log function.

To graph a log function by hand, you need to determine the type of log function, the base, and the x and y values. Then, plot points on the graph for the given x and y values to create the graph.

To graph a log function by hand, you need to determine the type of log function you are graphing, what the base of the function is, and what the x and y values of the function are.

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The investment compounded periodically will be worth more than the investment compounded annually.

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An exponential function for a graph that includes (-1,12.5) and (4,4.096) is,

⇒ y= 10(0.80)ˣ

A relation between a set of inputs having one output each is called a function.

Given that;

An exponential function is,

⇒ y= abˣ

Here, An exponential function for a graph includes (-1,12.5) and (4,4.096).

Hence, The points must satisfy the exponential function.

So, Put x = - 1, y = 12.5,

⇒ y = abˣ

⇒ 12.5 = ab⁻¹

⇒ 12.5b = a  .. (i)

And, Put x = 4, y = 4.096,

⇒ 4.096 = ab⁴

⇒ 4.096 = ab⁴

From (i), put the value of a in above equation we get;

⇒ 4.096 = (12.25b) b⁴

⇒ 4.096 = 12.25b⁵

⇒ 4.096 /12.25 = b⁵

⇒ b = ⁵√0.33

⇒ b = 0.80

And, from (i);

⇒ 12.5b = a

⇒ 12.5 × 0.80 = a

⇒ a = 10

Hence, An exponential function for a graph that includes (-1,12.5) and (4,4.096) is,

⇒ y= abˣ

⇒ y= 10(0.80)ˣ

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The quotient of x³ - 3x² + 3x - 2 divided by x² - x + 1 is x - 2.

The given polynomial is x³ - 3x² + 3x - 2.

First we choose a term to multiply with the first term of the divisor such that we get the first term of the polynomial:

(x^2) (x) = x^3

Thus, we multiply the divisor (x² - x + 1) by x which gives x^3 - x^2 + x

Now we subtract this from the polynomial which gives -2x^2 + 2x - 2.

Repeating the same we multiply the divisor by -2 which gives

-2x^2 + 2x -2. Subtracting the same from -2x^2 + 2x - 2, we get the remainder 0.

Thus, we get the quotient as x - 2.

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Answer:

the answer is 42 I believe ;)

While changing the weights of the samples in an adaboost model, the  statement that is correct is c) the alpha can be both positive or negative

In an AdaBoost model, alpha is a hyperparameter that is used to adjust the weights of the samples. The weight of a sample is increased if it is incorrectly classified by the previous weak learner

(b) is incorrect. The weight of a sample is decreased if it is incorrectly classified by the previous weak learner

(a) is also incorrect. The alpha can be both positive or negative which means it can be used to increase or decrease the weight of the samples. The alpha cannot be negative (d) is also incorrect.

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Answer: 0.6 mm

Step-by-step explanation:

Answer: The perimeter of a rectangle is the sum of all four sides. If the perimeter of the rectangle is 48 cm, that means that the sum of the length and width of the rectangle, multiplied by 2, is equal to 48.

Given that the length is 8 more than 3 times the width, we can set up the following equation:

length = 3 * width + 8

We can also use the area formula, which states that the area of a rectangle is equal to the product of the length and width. Let's call the width "w" and the length "l".

area = l * w

We can substitute the equation for length into the area equation:

area = (3w + 8) * w

We know the area of the rectangle, so we can substitute that in too:

area = (3w + 8) * w = 48

To find the width and length, we need to solve this equation for "w" and then substitute "w" back into the equation for "length". This will give us the width and length of the rectangle.

Step-by-step explanation:

The inequality 2x > 0 is true for all values of x greater than 0.

An inequality is a statement that compares the relative size or value of two mathematical expressions. It is used to indicate a relationship of being greater than, less than, greater than, or equal to, or less than or equal to.

There are two types of inequalities, strict inequalities, and non-strict inequalities. This is because when x is greater than 0, multiplying it by 2 will result in a value that is also greater than 0.

On the other hand, when x is less than 0, multiplying it by 2 will result in a negative value, which will not be greater than 0.

Therefore, the inequality 2x > 0 is true for x > 0.

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Answer:

isosceles triangle

Step-by-step explanation:

Answer:

Isosceles triangle

Step-by-step explanation:

A scalene triangle is a triangle with no lines of symmetry while an isosceles triangle has at least one line of symmetry and an equilateral triangle has three lines of symmetry.

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When the polynomial 2x³-3x²+4x+7 is divided by x+3, the remainder is -86.

The given polynomial is 2x³ - 3x² + 4x + 7.

First we choose a term to multiply with the first term of the divisor such that we get the first term of the polynomial:

(x)(2x^2) = 2x^3

Thus, we multiply the divisor (x+3) by 2x^2 which gives 2x^3 + 6x^2

Now we subtract this from the polynomial which gives -9x^2 + 4x + 7.

In the same way we multiply the divisor by -9x which gives -9x^2 - 27x. Subtracting the same from -9x^2 + 4x + 7we get 31x + 7.

Now we multiply the divisor with 31 which gives 31x + 93. Subtracting it from the remaining polynomial 31x + 7 leaves the remainder -86.

The question is incomplete, the complete question is:

When the polynomial 2x³ - 3x² + 4x + 7 is divided by x + 3 The remainder is?

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Step-by-step explanation:

144° + m5 = 180°

m5 = 180° - 144°

m5 = 36°

m5 + 56° + m4 = 180°

m4 = 180° - 56° - 36°

m4 = 88°

m3 + 56° = 180°

m3 = 180° - 56°

m3 = 124°

since the 2 horizontal lines are parallel:

m1 = m5 = 36°

m2 = 56°

Answer:

-3 x + 8

Step-by-step explanation:

Simplify the following:

-2 x - x + 8

Grouping like terms, -2 x - x + 8 = (-2 x - x) + 8:

(-2 x - x) + 8

-2 x - x = -3 x:

Answer: -3 x + 8

The factor of 10abcd is  2 x 5 x a x b x c x d.

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

Given:

We have the phrase: Factor of 10abcd.

To find the factor of 10abcd:

Simplifying,

10abcd,

= 2 x 5 x a x b x c x d.

Therefore, the factor is  2 x 5 x a x b x c x d.

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Answer:

31°

Step-by-step explanation:

We know the measure of a straight line is 180° . And therefore the measure of the given two co linear angles would be 180° . So ,

[tex]\implies \rm 5x-16 +x +10=180\\ [/tex]

[tex]\implies \rm 6x -6 =180\\ [/tex]

[tex]\implies \rm 6x = 180+6 = 186\\ [/tex]

[tex]\implies \rm x =\frac{186}{6}= 31^o[/tex]

And we are done

The area of the chalkboard is 1.53 m^2 (option A)

The area of a rectangle is found by multiplying the length by the width.

So, the area of the chalkboard is 1.7 m * 0.9 m = 1.53 m^2.

Therefore, The area of the chalkboard is 1.53 m^2 (option A)

The area of a rectangle is a measure of the amount of space inside the rectangle. It is calculated by multiplying the length of the rectangle by its width. The formula for finding the area of a rectangle is:

Area = Length x Width

For example, if a rectangle has a length of 4 meters and a width of 2 meters, the area of the rectangle would be 4 x 2 = 8 square meters.

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If any horizontal line intersects the graph of f more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse.

Now, According to the question:

What is Inverse Function?

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^-^1[/tex] or [tex]F^-^1[/tex].

Hence, If any horizontal line intersects the graph of f more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse.

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You can use three triangle-specific theorems to quickly distinguish between similar triangles.Therefore, Option (2) ASA will be the answer.

You can use three triangle-specific theorems to quickly distinguish between similar triangles.These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for identifying triangle similarity.You can use three triangle-specific theorems to quickly distinguish between similar triangles.These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for identifying triangle similarity.

Option. (2) ASA

From the triangles ΔQTU and ΔRSU in the figure attached,

 Statements            Reasons

1). QS ⊥ QT                     Given

2). RT ⊥ RS                     Given

3). Qu ≅ RU                    Given

4). ∠Q ≅ ∠R                   All right angles are congruent

5). ∠QUT ≅ ∠RUS         Vertical angle theorem

6). ΔQTU ≅ ΔRSU          ASA property

As a result, the solution will be Option (2) ASA.

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Using proportions, the amounts needed of brown and green material for 52 gallons of compost are given as follows:

Brown material: 36 gallons.

Green material: 12 gallons.

A proportion is a fraction of a total amount, and in problems involving it, basic arithmetic operations such as multiplication or division are used along with the unit rates to find the equivalent measures.

On the first column of the table, the total amount is:

⇒ 12.75 + 4.25 = 17 gallons.

So, The fractions of each material are given as follows:

Brown material: 12.75/17 = 0.75

Green material: 4.25/17 = 0.22.

Hence the amount of brown material needed with 48 gallons is:

⇒ 0.75 x 48 = 36 gallons.

And, The amount of green material needed with 48 gallons is:

⇒ 0.25 x 48 = 12 gallons.

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With the help of an interest rate, you can determine how much borrowing will cost you and how much saving will yield.

In relation to the amount lent, deposited, or borrowed, the amount of interest due each period is expressed as an interest rate. The amount lent or borrowed, as well as the interest rate, frequency of compounding, and the period of time during which it is lent, deposited, or borrowed, all affect how much interest will be charged overall.

An interest rate informs you of how much borrowing will cost you and how much saving will pay off. Therefore, the interest rate is the amount you pay for borrowing money and is expressed as a percentage of the entire loan amount if you are a borrower.

The cost of borrowing money is expressed as an interest rate. It represents a percentage of the overall amount borrowed during the given period of time.

First, convert R as a percent to r as a decimal

r = R / 100

r = 2 .1  / 100

r = 0.021 per year

Then, solve the equation for t

[tex]$& \mathrm{t}=\ln (\mathrm{A} / \mathrm{P}) / \mathrm{n}[\ln (1+\mathrm{r} / \mathrm{n})] \\[/tex]

[tex]& \mathrm{t}=\ln (54,200 / 39,000.00) /(365 \times[\ln (1+ 0.021 / 365)])[/tex]

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Therefore , following a 180° counterclockwise rotation, the triangle's coordinates are P' (-3, 2), Q' (-8, 2), and R' ( -5 , 5 )

The rotational angle is a unit used to describe how much a figure is spun about its center. In most cases, the rotational angle is expressed in degrees. We define a rotation's degree measurement and direction.

Here,

rotation in the direction of 90°: (x,y) becomes (y,-x)

rotation of (x,y) at 90 degrees counterclockwise results in (-y,x)

Rotating (x, y) 180 degrees both clockwise and counterclockwise results in (-x,-y)

Rotating (x,y) in a 270° clockwise direction (-y,x)

rotated 270 degrees counterclockwise, (x,y) becomes (y,-x)

given the data,

Let A be a representation of the rotation angle.

A now has the value of A = 180° in the counterclockwise direction.

Let's use PQR to depict the triangle.

Now, the triangle PQR's coordinates are

P is the coordinate for P. ( 3 , -2 )

Q = Q is the coordinate of ( 8 , -2 )

R is the coordinate for R. ( 5 , -5 )

Additionally, the following results from a 180° round and counterclockwise rotation (-x,-y)

The result of changing the values inside the equation is

P' = P' is the coordinates of point P' ( -3 , 2 )

The point Q"s coordinate is Q' ( -8 , 2 )

The point's coordinates are R' = R' ( -5 , 5 )

Consequently, the triangle's coordinates following rotation are

P' ( -3 , 2 ) , Q' ( -8 , 2 ) , R' ( -5 , 5 ) ( -5 , 5 )

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a+b+c=11, so number of solutions is (n + r - 1) choose (r - 1), n=11, r = 3, you get (11 + 3-1) choose (3-1) , or 13 choose 2 = 78.

There are 78 solutions.

Consider the pair of linear equations in two variables x and y.

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.

2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables

3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.

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The total price of the flower bouquet and box of chocolates that the customer bought after a 20% discount and including 8.25% tax is $46.80.

The original cost of the flower bouquet and box of chocolates that the customer bought was $36 + $18 = $54. The customer then used a 20% off coupon, reducing the cost to $54 - ($54 * 20%) = $43.20. This new total was then subject to an 8.25% tax, which added $43.20 * 8.25% = $3.58 to the final cost. The final price of the items, including both the discount and tax, was $43.20 + $3.58 = $46.80.

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Variability assigns to how "spread out" a group of scores is.

Range: The range is the easy measure of variability to calculate, and one you have probably experienced many times in your life. The range is simply the highest score minus the lowest score.

Let us take an example. What is the range of the following group of numbers: 10, 2, 4, 5, 8, 3, 4? Well, among these numbers 10 is the highest, and the lowest number is 2, so 10 - 2 = 8. So, the range is 8.

Interquartile Range: It (IQR) is the range of the middle 50% of the scores in a dispatch.

Variance: Variability can also be defined in terms of how close the scores in the distribution are to the middle of the distribution.

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4 is the slope of the linear relationship. Thus, correct option is: c

An indication as to how sharp a line is its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

The ratio of the increase in elevation between two places to the run in elevation between those same two points is referred to as the slope.

Slope-related equations The "change in y" over the "change in x" of a line is referred to as the slope. By dividing (y₂ - y₁) over (x₂ - x₁) and choosing two locations on the line (x₁, y₁) and (x₂, y₂), you can get the slope.

A linear relationship is given in the table.

According to the data of the table,

x: -2  -1  0  1  2

y:  -13  -9  -5  -1  3

now, slope = (y₂ - y₁) / (x₂ - x₁)

slope = {-9 -(-13)} / {-1 -(-2)}

slope = 4

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