Select the statement that does not correctly use probability to describe anevent.

Using the power reducing formulas the expression \(5cos^4(x) = 5(1 + cos(2x))^{2/4}\).

We can define higher powers of a trigonometric function in terms of lower powers of the same function using the power-reducing formulas, which are trigonometric identities. Higher powers of cosine can be expressed using this formula in terms of sine and cosine's initial powers. For the other trigonometric functions, such as sine and tangent, there are equivalent formulas. These formulas can be used to solve trigonometric equations and to simplify trigonometric expressions.

The given function is 5cos^4(x).

Now, the power reducing formulas are given by:

\(cos(2x) = cos^2(x) - sin^2(x) = 2cos^2(x) - 1\\cos^2(x) = (1 + cos(2x))/2\)

Substituting the value of second equation in 1 we have:

cos(2x) = 2(1 + cos(2x))/4 - 1

\(cos(2x) = (2cos^2(x) - 1) = cos^2(x) - sin^2(x)\)

Now we have:

\(cos^2(x) = (1 + cos(2x))/2\)

Thus,

\(cos^4(x) = (1 + cos(2x))/2)^2\)

Now multiplying by 5:

\(5cos^4(x) = 5(1 + cos(2x))^{2/4}\)

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Answer:

1.25

Step-by-step explanation:

if you paid 7.50 for 6 feet of rope we can figure out how much each foot of rope is by example 750 divided by 6 which equals 1.25 .

Answer:

$62.50

Step-by-step explanation:

Proportions:

$7.50 ⇔ 6ft

$R ⇔ 50ft

R = 7.5*50/6

R = $62.5

The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.

By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (x, -y)

(1, -3)             →      (1, -(-3)) = (1, 3)

(3, -2)             →      (3, -(-2)) = (3, 2)

(4, -5)             →      (4, -(-5)) = (4, 5)

By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (-x, y)

(1, -3)             →        (-1, -3)

(3, -2)             →      (-3, -2)

(4, -5)             →      (-4, -5)

By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (y, x)

(1, -3)             →        (-3, 1)

(3, -2)             →      (-2, 3)

(4, -5)             →      (-5, 4)

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Answer:

No, the two sides are not congruent.

I flipped my whole laptop around to check loll

Answer:

m = -3

Step-by-step explanation:

The formula to find the slope of the line is :

slope = m = \(\frac{y_1 - y_2}{x_1-x_2}\)

Given that the two coordinates of the line are :

( -1 , - 7 ) ⇒ ( x₁ , y₁ )

( 1 , -13 )  ⇒ ( x₂ , y₂ )

Let us solve now.

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

m =  ( -7 - ( -13)) ÷ ( -1 - 1 )

m = ( -7 + 13 ) ÷ ( -2 )

m = 6 ÷ -2

m = -3

Answer:

m = -3

Step-by-step explanation:

Given two points:

To Find:

Solution:

Using slope's formulae,

\( \boxed{ \rm{m = \cfrac{y_2 -y_1 }{x_2 - x_1} }}\)

According to the question, on the formula:

Substitute them onto the formulae:

\( \rm \: m = \cfrac{ - 13 - ( - 7)}{1 - ( - 1)} \)

Simplify using PEMDAS:

\( \rm \: m = \cfrac{ - 13 + 7}{1 \ + 1} \)

\( \rm \: m = \cfrac{ - \cancel6}{ \cancel2} = \boxed{ - 3}\)

Hence, the slope of the line that passes through the given points in it's simplest form is -3.

Answer:

\(2\frac{2}{3}\)

Step-by-step explanation:

16 divided by 6 is 2.66666667

Since 1/3 is .33 , 2/3 is .66

Answer:

120 Degrees

Step-by-step explanation:

(6-2)*180 = 720

720/6 = 120

So the answer is 120

Hope this helps!

The degree will carry the regular hexagon onto itself is 60 degrees.

"A regular hexagon is a closed shape polygon which has six equal sides and six equal angles. In case of any regular polygon, all its sides and angles are equal. When we arrange six equilateral triangles side by side, then a regular hexagon is composed. Then, the area of the regular hexagon becomes equal to six times the area of the same triangle."

Regular Hexagon Properties

1. It has 6 equal sides and 6 equal angles.

2. It has 6 vertices.

3. Sum of interior angles equals 720°.

4. Interior angle is 120° and exterior angle is 60°.

5. It is made up of six equilateral triangles.

6. 9 diagonals can be drawn inside a regular hexagon.

7. All the sides opposite to each other are parallel.

We know

There are 6 sides to a hexagon

360 degrees in a hexagon

The degree will carry the regular hexagon onto itself

= \(\frac{360}{6}\)

= \(60^{0}\)

Thus, The degree will carry the regular hexagon onto itself is 60 degrees.

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The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

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

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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Answer:

câu này là 500 nhen

Answer: 6 with milk, 9 without

Step-by-step explanation:

2/5 of the cookies he eats are dunked.  Thus, simply do 2/5, or .4*15 to get that 6 cookies are dunked, and 15-6 to get that 9 cookies are not dunked.

Hope it helps <3

Answer:

Answer is: two electrons.

n - principal quantum number, indicating relative overall energy of each orbital, n=1,2,3,...

l - angular momentum quantum number, shape of the orbital, l = 0,1,...,n−1.      

l =1 for the p orbitals.

ml - magnetic quantum number, ml = 0,±1,...,±l.

This is 2px orbital, in every orbital there is two electrons with different spin.

Step-by-step explanation:

Mark Brainliest Please

The expected profit of the man from the horse race is $22,400.

Given data:

To find the man's expected profit, calculate the probability of each outcome and multiply it by the corresponding profit.

To determine the probability of each outcome based on the given information:

Probability of winning both races = 0.30 * 0.40

Probability of winning both races = 0.12

Probability of winning one race = 0.30 * 0.60 + 0.70 * 0.40

Probability of winning one race = 0.46

Probability of losing both races = 0.70 * 0.60

Probability of losing both races = 0.42

Next, calculate the expected profit for each outcome:

Profit from winning both races = $90,000 - $20,000

Profit from winning both races = $70,000

Profit from winning one race = $55,000 - $20,000

Profit from winning one race = $35,000

Profit from losing both races = $15,000 - $20,000

Profit from losing both races = -$5,000 (a loss of $5,000)

Now, determine the man's expected profit by multiplying the probability of each outcome by the corresponding profit and summing them up:

Expected profit = (0.12 * $70,000) + (0.46 * $35,000) + (0.42 * -$5,000)

Expected profit = $8,400 + $16,100 - $2,100

Expected profit = $22,400

Hence, the man's expected profit is $22,400

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Answer:

The height of the tree is 35 meters.

Step-by-step explanation:

Let the height of the tree be x meters, then the length  of the wire is

x+2 meters.

The distance from the tree to the anchor is  x-23 meters.

So using the pythagoras theorem:

(x + 2)^2 = x^2 +(x -23) ^2

x^2 + 4x + 4 = x^2 + x^2 - 46x + 529

x^2 - 50x + 525 = 0

( x - 15)(x - 35) = 0

x = 15, 35

x cannot be 15   as this would make the distance 15-23 which is negative so x mustr be 35 meters,

Answer:

+7

Step-by-step explanation:

Yes it is.

The common difference is +7

Answer:

7

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

19-12 = 7

Check by subtracting the third term and subtract the second term

26-19 = 7

The common difference is 7

The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

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Answer:

The 1st one?

Step-by-step explanation:

Sorry if I'm wrong

Answer:

if you meant (b+3)+(2^b-2), the answer is b+1+2^b

Step-by-step explanation:

but if you meant (b+3)+(2b-2), the aanswer is 3b+1

Answer:

3b+1

Step-by-step explanation:

(b+3)+(2b-2)

b+3+2b-2

3-2

b+1+2b

b+2b

3b+1

Given:

Required:

Sketch the graph for g(x) and find the total area between the curve g(x) and x-axis. Explain if necessary and provide a reason if the question cannot be solved.

Explanation:

The given function is:

We can observe from the graph that there is no bounded area between the graph of the function and the x-axis.

To find the area between the x-axis and the curve the area should be bound with the x-axis.

So the area of the given function can not be calculated.

Final answer:

The question can not be solved because there is no bounded area between the graph of the function and the x-axis.

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

For this question we can discard the options 120º and 125º since the angle is on the first quadrant.

Now we need to find the correct option between 60º and 55º

From the figure given it seems that the best answer is 60º since 55º is not enogh for the inclination of the angle provided

The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

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Answer:

V = 330 \(in^{3}\)

Step-by-step explanation:

To find the volume of a pyramid use this equation:

\(V = \frac{lwh}{3}\)

l = length

w = width

h = height

Lets assign each of these variables to what is in the picture:

l = 18 in

w = 5 in

h = 11 in

Now, plug these into the equation and solve:

\(V = \frac{(18)(5)(11)}{3}\)

\(V = \frac{990}{3}\)                  Distribute the numerator

V = 330 \(in^{3}\)

Thus, the exact volume of the pyramid is 330 \(in^{3}\).

Hope this helps!!

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer:

If 500 minutes of talk = 20

and texting = 30

and each additional minute of talk = 0.45

then the bill would be (for C = total cost)

C = 20+30+(0.45 • x)

OR

C = 50 + 0.45x

Step-by-step explanation:

Hope this helps! : D

Answer:

  (x -14)² +(y -7)² = 1²

Step-by-step explanation:

You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...

  (x -14)² +(y -7)² = 1²

In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy  the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).

Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.

From the question, p = number of pounds Juan will buy.

candy=costs $8 per pound

$20/$4 = 5 pounds

p>5

at least 5 pounds

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The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).

For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).

As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.

Here we have to calculate the probability that the number landing face up will be less than 3.

The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6

(1, 2, 3, 4, 5, 6)

Favorable number of faces of a die = 2

(1, 2)

Since the number landing faces up will be less than 3.

Therefore the probability that the number landing face up will be less than 3

\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)

\(& =\frac{2}{6} \\\)

\(& =\frac{1}{3}\)

Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)

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The long-run relative frequency of a number less than 3 landing face up is 2/3.

The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.

For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.

For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.

Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.

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According to the ASA congruency criteria, ABE and CDE are congruent.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and form. In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Here,

in ΔABE and ΔCDE,

Since AC bisect BD,

BE=DE

∠ABE=∠CDE

AB=CD

So, by ASA criterion,

ΔABE≅ΔCDE

ΔABE and ΔCDE are congruent by ASA criterion of congruency.

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