How is it 2/6 but that would equal 4/6?

Binomial is the correct Answer. Roll a pair of dice 10 times and count the number of times the sum is 6 is a Binomial distribution.

Random variables of this type have several characteristics, but the key one is that the experiment that is being performed has only two possible outcomes - success or failure, which is called Binomial distribution.

A binomial experiment that satisfies these four conditions:

A fair six-sided die is rolled ten times, and the number of 6's is recorded

There is a fixed number of trials ten rolls, each roll is independent of the others, and there are only two outcomes either it's a 6 or it isn't, and the probability of rolling a 6 is constant.

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If a || b || c, then a || c using Euclid's axiom.

Parallel lines are coplanar infinite straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance. Parallel lines are lines that are always the same distance apart in a plane. Parallel lines never cross. Perpendicular lines are those that connect at a straight angle (90 degrees). Parallel lines in geometry are two lines in the same plane that are at equal distance from each other but never intersect. They can be both horizontal and vertical in orientation.

Here,

given,

a || b || c

Euclid's axiom states that “Things which are equal to the same thing are equal to one another.” Here, A and C are things which are equal to B, so A=C.

so using this,

a || c

If a || b || c, then using Euclid's axiom, a || c.

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A. The given relation is a function, but is not one-to-one. A possible domain for the inverse is given as follows: x ≥ 4.

B. The inverse function is given as follows: [tex]f^{-1}(x) = \sqrt{0.5(x + 8)} + 4[/tex]

C. The composition of the function with it's inverse results in x, hence they are inverse.

The quadratic function for this problem is defined as follows:

y = 2(x - 4)² - 8.

The classifications regarding function and one-to-one are given as follows:

The inverse can only be obtained when the function is one-to-one, hence a possible domain is given as follows:

x ≥ 4.

(as the vertex is at x = 4).

To obtain the inverse, first we must exchange the variables x and y, hence:

x = 2(y - 4)² - 8.

Now we must isolate the variable y, as follows:

2(y - 4)² = x + 8

(y - 4)² = 0.5(x + 8)

[tex]\sqrt{(y - 4)^2} = \sqrt{0.5(x + 8)}[/tex]

[tex]y - 4 = \sqrt{0.5(x + 8)}[/tex]

[tex]f^{-1}(x) = \sqrt{0.5(x + 8)} + 4[/tex]

The composition of the two functions is given as follows:

[tex](f \circ f^{-1}(x)) = 2(\sqrt{0.5(x + 8)} + 4 - 4)^2 - 8)[/tex]

[tex](f \circ f^{-1}(x)) = 2(\sqrt{0.5(x + 8)})^2 - 8[/tex]

[tex](f \circ f^{-1}(x)) = x + 8 - 8[/tex]

[tex](f \circ f^{-1}(x)) = x[/tex]

As the composition results in x, they are inverses.

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Answer: 160 fl oz

Step-by-step explanation: 5qt x 32fl oz= 160 fl oz

0.3221469052

I hope its right

Chanice's approximate displacement is 8.60 km as she rides her scooter 7 kilometers north. She has lunch and then travels 5 kilometers east.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship in Euclidean geometry between the three sides of a right triangle. It indicates that the area of the hypotenuse square is equal to the sum of the areas of the squares on the other two sides. The Pythagorean theorem states that the sum of the squares on the legs of a right triangle equals the square on the hypotenuse.

Here,

To find the length of one missing side in a triangle, you can use the Pythagorean Theorem:

a² + b² = c²

7² + 5² = c²

49 + 25 = c²

74 = c²

√74 = c

c ≈ 8.60 km

8.60 km is Chanice's approximate displacement as she drives her scooter 7 kilometres north. She stops for lunch and then drives 5 kilometres east.

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Answer:

[tex]\huge\boxed{\sf Option\ C.}[/tex]

Step-by-step explanation:

3x² = -12

x² = -12/3

x² = -4

√x² = √-4

x = √-1 × √4

We know that [tex]\sqrt{-1} =i[/tex]

i(iota) is an imaginary number. So, we can say that the equation has no real solutions.

[tex]\rule[225]{225}{2}[/tex]

Answer: X = 25

Step-by-step explanation: We can use the Law of Cosines to solve for the remaining side of the triangle, which we'll call "x".

The Law of Cosines states that:

c^2 = a^2 + b^2 - 2ab * cos(C)

In this triangle, we are trying to find side "x" (c) so we can use the following equation:

x^2 = 20^2 + 17^2 - 2(20)(17)cos(H)

Now we can substitute the known values into the equation:

x^2 = 400 + 289 - 680cos(H)

Now we can solve for x by taking the square root of both sides:

x = sqrt(400 + 289 - 680cos(H))

= sqrt(689 - 680cos(H))

= sqrt(9 + 289cos(H))

Alternatively, we can use Law of Sines to solve for side x.

The Law of Sines states that a/sin(A) = b/sin(B) = c/sin(C)

Knowing all the angles in the triangle we can use the following equation

x/sin(K) = 20/sin(P) = 17/sin(H)

Now we can substitute the known values into the equation

x = (20*17)/sin(H)

In both case we get x = 25.

Answer:

( Where is says “ Use the answers to the problems above to help solve some of those below “ I cannot see the left side. Therefore, I cannot help you there )

3/4 of 32=24

74x32=2368

1/4 of 33=8.25

74x33=2442

0.75x32=24

76x32=2432

0.75x33=24.75

76x33=2508

75x32=2400

0.76x32=24.32

75x33=2475

0.76x33=25.08

24x96=2304

75x37=2775

0.74x32=23.68

76x112=8512

Step-by-step explanation:

The price of an adult ticket is $14 and the price of a children's ticket is $8.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Let x be the price of an adult's ticket and y be the price of a children's ticket.

One family bought 1 adult ticket and 3 children's tickets for a total of $38.

x + 3y = 38

Another family bought 2 adult tickets and 4 children's tickets for a total of $60.

2x + 4y = 60

We have two linear equations in two variables here.

x + 3y = 38

2x + 4y = 60

Multiplying the first equation throughout by 2, we get,

2x + 6y = 76

Subtracting the second equation 2x + 4y = 60 from the multiplied first equation 2x + 6y = 76, we get,

2x + 6y - (2x + 4y) = 76 - 60

2y = 16

y = 8

x + 3y = 38 ⇒ x = 38 - 24 = 14

Hence the price of an adult's ticket and children's ticket is $14 and $8 respectively.

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Based on the changes that occurred in Ariel's bank account, the missing values are -$223.75, -$1.40, and -$4.40.

The missing values from the given table of the changes that occurred in Ariel's bank account balance is determined as follows:

Week 4 change:

Change = -$41.40 - $182.35

Change =  -$223.75

Week 5 balance: this is obtained from the sum of the change and the balance of the previous week:

Balance = -$41.4 + $40

Balance = -$1.40

Week 6 change:

Change = -$5.80 - (-$1.4)

Change  = -$4.40

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Rounded to the nearest inch, the length of side PR is 75 inches.

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Answer:

1 microgram per day = 0.000000001/86400 kilograms per second

Those who want a simple tax want no tax, therefore option D is correct answer.

Taxes are mandatory payments that citizens and businesses must make to the government, whether they are local, regional, or federal. Tax revenues are used to pay for government programmes like Social Security and Medicare as well as public works and services like roads and schools.

Taxes are paid by whoever is responsible for covering their cost, whether that is the taxed entity, such as a business, or the consumers of the goods that the business produces.

From an accounting perspective, all taxes, including payroll taxes, federal and state income taxes, and sales taxes, must be considered.

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Answer:

The percentage of increase in price is 175%. To calculate this, you can subtract the cost price (in this case, $1) from the selling price ($2.75) to find the profit ($1.75). Then divide that profit by the cost price and multiply by 100 to express it as a percentage.

$2.75 - $1 = $1.75

$1.75/$1 * 100 = 175%

If you want to calculate the percentage increase in price, use the formula:

Percentage Increase = (New Price - Original Price) / Original Price x 100

In this case, the original price is $1 (the price of buying the cards) and the new price is $2.75 (the price of selling the cards). So, plugging these values into the formula:

Percentage Increase = (2.75 - 1) / 1 x 100 = 175%

The percentage increase in price is 175%.

The answer is 75.96 degree.

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: The perpendicular = 2 and base=8

 Thus tan ∅ = 2/8

           tan ∅=1/4

                 ∅=tan⁻¹(1/4)

                   = 14.03

Therefore the required angle is 180-(90+14.03)=  75.96°

Hence, The answer is 75.96 degree.

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Answer:

[tex]\dfrac{223}{64}=3.484375[/tex]

Step-by-step explanation:

The Riemann sum is a method by which we can approximate the area under a curve using a series of rectangles.

The Lower Riemann Sum uses the minimum height of the rectangle on each subinterval.  

As the Lower Riemann Sum is entirely below the curve, it is an underestimation of the area under the curve.

The number of partitions is the number of rectangles used.  

Partitions can be of equal length or not of equal length.

Given:

The given partition divides the interval [0, 1] into 3 subintervals:

To calculate the areas of the rectangles, multiply the width of each rectangle by its height.

The width is the difference between the x-values of each subinterval.

The height is the minimum value of the function across the subinterval. For the given function, this is the value of the function for the right side of the subinterval.

First rectangle [0, 1/2]:

[tex]\begin{aligned}\implies \left(\dfrac{1}{2}-0\right) \cdot f\left(\dfrac{1}{2}\right)&=\dfrac{1}{2} \cdot \left(4-\left(\dfrac{1}{2}\right)^2\right)\\\\&=\dfrac{1}{2} \cdot \dfrac{15}{4}\\\\&=\dfrac{15}{8}\end{aligned}[/tex]

Second rectangle [1/2, 3/4]:

[tex]\begin{aligned}\implies \left(\dfrac{3}{4}-\dfrac{1}{2}\right) \cdot f\left(\dfrac{3}{4}\right)&=\dfrac{1}{4} \cdot \left(4-\left(\dfrac{3}{4}\right)^2\right)\\\\&=\dfrac{1}{4} \cdot \dfrac{55}{16}\\\\&=\dfrac{55}{64}\end{aligned}[/tex]

Third rectangle [3/4, 1]:

[tex]\begin{aligned}\implies \left(1-\dfrac{3}{4}\right) \cdot f\left(1\right)&=\dfrac{1}{4} \cdot \left(4-\left(1\right)^2\right)\\\\&=\dfrac{1}{4} \cdot 3\\\\&=\dfrac{3}{4}\end{aligned}[/tex]

Therefore, the Lower Reimann Sum for the given function over the given interval and partitions is the sum of the area of the rectangles:

[tex]\implies \dfrac{15}{8}+\dfrac{55}{64}+\dfrac{3}{4}=\dfrac{223}{64}=3.484375[/tex]

Answer:

66 units

Step-by-step explanation:

Diagonals in a rectangle are congruent (equal)

14x + 10 = 11x + 22

Subtract 11x from the right side and subtract -10 from the left to isolate the x's with a constant

You would get: 3x = 12

Divide both sides by 3 to isolate the x by itself;

You would get: x = 4

Next, plug in the value of 4 for whichever equation you want.

11(4) + 22 is what I chose and I got 66.

Hope this helps.

Answer: -4

Step-by-step explanation: u have to do -14x+11x=-3 then u do 22-10=12 now u  have to do 12 divide by -3 and u will get -4 as ur answer

The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or deceleration of changes.

When something changes over time, it does so at a certain rate, or ROC. Therefore, rather than the size of each change individually, it is the rate of change—or, more specifically, its acceleration or deceleration. Rate of change is a concept in finance that is used to comprehend price returns and pinpoint trends' momentum.

A ratio is used to express the rate of change, which contrasts the values of the y and x variables. The slope of the line represents the rate of change if it is linear, constant, and so on. Positive, negative, zero, or undefinable slopes are all possible for lines.

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Answer:

1250 in savings

Step-by-step explanation:

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \:f(x) = {x}^{2} + 2x + 9[/tex]

[ plug in the value of x in the expression ]

[tex]\qquad \sf  \dashrightarrow \: f(3) = (3) {}^{2} + 2(3) + 9[/tex]

[tex]\qquad \sf  \dashrightarrow \: f(3) = 9+6 + 9[/tex]

[tex]\qquad \sf  \dashrightarrow \: f(3) = 24[/tex]

The  slope of the line with the points (-2/3,-3) and (-1.5,-5/7) is 2.743.

The concept that will be used is the slope. A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The slope of  the line passing through the points9 x1 y1) and (x2, y2 ) can be written as :

m= (y2 - y1)/(x2 -x1)

x1 = -2/3 , y1 = -3

x2 = -1.5 , y2 = -5/7

Then substitute the values,

Then the slope = [ (-5/7+3) / (-1.5+2/3 )]

= (16/7)/(-5/6)

=2.743

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The range for the given domain is {4, -5, -1, 44}.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Here set A is the domain and the images of the elements of set A is range.

Given the function,

f(x) = x² - 5

Domain is {-3, 0, 2, 7}

Domain is the values of x and range is the value of f(x).

If x = -3, f(x) = (-3)² - 5 = 4

If x = 0, f(x) = 0² - 5 = -5

If x = 2, f(x) = 2² - 5 = -1

If x = 7, f(x) = 7² - 5 = 44

So the range is {4, -5, -1, 44}

Hence the set {4, -5, -1, 44} is the range of the function given.

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Answer: To find the solution of a system of equations, we can either use substitution or elimination method.

For this system of equations, we can use the substitution method:

First, we solve one equation for one of the variables. For example, we can solve the first equation for y: y = -2x - 4

Then, we substitute this expression of y into the second equation and solve for x: 1/2x + 6 = -2x - 4

We can simplify this equation by adding 2x to both sides: 1/2x + 2x + 6 = -4

And then by adding 6 to both sides: 1/2x + 2x + 12 = 2

And then by multiplying both sides by 2: x + 4x + 24 = 4

And then by simplifying: 5x = -20

Finally, we find x = -4

Now that we have found x, we can substitute it back into one of the equations to find y:

y = -2(-4) - 4 = 8 - 4 = 4

So the solution of the system of equations is x = -4 and y = 4

We can check that this solution satisfies both equations.

Step-by-step explanation:

The unit rate of the number of pages penny reads per hour is; 56 pages per hour

A unit rate is also called unit ratio and it describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

Now, we are told that;

Number of pages penny reads = 14 pages

Time he takes to read the 14 pages = 1/4 hours

Thus, applying the concept of unit rate gives;

Unit rate = 14/(1/4)

Unit rate = 14 * 4/1

Unit rate = 56 pages per hour

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Answer: -3

Step-by-step explanation:

ubuve 2.2 it stay the same -2.4 is -3

A) The appropriate hypothesis test to determine if there is a statistically significant association between sales and profits is B. H_0: There is no linear relationship between sales and profits, beta_1 = 0. H_A:

There is a linear relationship between sales and profits, beta_1 ≠ 0. This test will determine if there is a linear relationship between the two variables, regardless of the direction of the relationship (positive or negative).

B) The conclusion of this test would be based on the p-value obtained from the test. If the p-value is less than the significance level of 0.05, we would reject the null hypothesis and conclude that there is a statistically significant linear relationship between sales and profits.

If the p-value is greater than 0.05, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a linear relationship between the two variables.

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[tex]4 \frac{1}{4}(x-4)=17[/tex]

1. Simplify.

[tex]\frac{17}{4} x-17=17[/tex]

2. Add 17 to both sides.

[tex]\frac{17}{4} x-17+17=17+17[/tex]

[tex]17/4x=34[/tex]

3. Multiply both sides by 4/17.

[tex]\frac{4}{17} \times(\frac{17}{4}x )=(\frac{4}{17}) \times(34)[/tex]

[tex]x=8[/tex]

Concluding that there is an effect when in reality no effect exists is known as a: Standard error.

The approximate standard deviation of a statistical sample population is known as the standard error (SE) of a statistic.

By utilizing standard deviation, the standard error is a statistical concept that assesses how accurately a sample distribution represents a population. In statistics, the difference between a sample mean and the population's actual mean is known as the standard error of the mean.

The difference between the population's computed mean and one that is widely regarded as correct is described by the standard error.

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