10.
Use the formula P = 2ℓ + 2w. Find the perimeter of a rectangle with a length of 5.6 ft and a width of 6.1 ft.


A. 23.4 ft

B. 22.2 ft

C. 24.4 ft

D. 24.8 ft

Answer:

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to.

Step-by-step explanation:

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to.

The sampling type in this scenario would be systematic sampling. This method involves selecting every nth individual from a population to form the sample.

In this case, every 10th person from the phonebook is chosen, which follows the systematic sampling approach.

The sampling type would be systematic sampling.

Systematic sampling involves selecting every nth individual from a population. In this case, every 10th person from the phonebook is chosen, making it a systematic sampling method. This approach ensures that the sample is representative of the entire population, as it provides an equal chance for each individual to be selected.

Systematic sampling is a method used to select a sample from a population. It involves selecting every nth individual from the population, where n is a predetermined number. In this case, the sampling type would be systematic sampling, as every 10th person from the phonebook is chosen.

This method is commonly used when there is a list of individuals or items that can be ordered in some way. By selecting individuals at regular intervals, systematic sampling aims to ensure that the sample is representative of the entire population. This sampling approach provides an equal chance for each individual to be selected, reducing the risk of bias and increasing the reliability of the results.

The sampling type used, if the subjects were picked by selecting every 10th person out of a phonebook, is systematic sampling.

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There are infinitely many solutions to an equation with two variables.

We know that an equation is a mathematical statement that contains equal symbol between two mathematical expressions.

In this question need to solve  an equation with x and y in one equation.

Consider an equation with two variables: 5x + y = 8

If we solve given equation for x then it would be,

5x + y = 8

5x + y - y = 8 - y

5x/5 = (8 - y)/5

x = (8 - y)/5

for any arbitrary real value value of y we can find the value of x.

This means there are infinitely many solutions.

If we solve given equation for y then it would be,

5x + y = 8

5x + y - 5x = 8 - 5x

y = 8 - 5x

for any arbitrary real value value of x we can find the value of y.

Therefore, an equation with two variables has infinitely many solutions.

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Answer:

Step-by-step explanation:

Comment

The greatest common factor of 5 10 and 20 = 5 Nothing more can be put with the five that is a coefficient.  

The greatest common factor of x x^2 and x^3 is x. It is the only thing that can be taken out.

y has no common factor. C does not contain a y.

Answer: 5x

Answer:

You need to use sohcahtoa to find your answer.

first you gotta identify what sides of the triangle you have.

You're missing the hypotenuse, and you have the value of the adjacent.

since you have the adjacent and need the hypotenuse, you're going to use cosine to find x

cos(65) = 16/x

x = 37.859

Answer:

x = 37.85

this is a standard "trig" question

it requires two pieces  of insight.

First that a triangle has 180° interior angles.

from that you can determine that the third angle is 25° because

90 + 65 + β = 180

the red symbol lets you know that it is 90°

the second think that will help is SOHCAHTOA

that is if you have a "right triangle" (one with a 90° angle)

in this problem (in your mind rotate the triangle so the 65° is at the bottom left and the two long sides are pointing up

in this case you have the 16 on the bottom (adjacent to the angle) and

the x is on the hypotenuse...

you have the A& H that is COS

thus you have cos(65) = \(\frac{16}{x}\)

x = 37.85

Step-by-step explanation:

Answer:

7x^2-49x+42

Step-by-step explanation:

X*x=x^2 X*-6=-6x -1x*x=-1x -1*-6=6

7(x^2-6x-1x+6)

The answer

The probability of selecting two socks of same color is 0.96.

According to the given question.

Total number of green socks = 4

Total number of yellow socks = 6

So, the total number of socks in a drawer = 4 + 6 = 10

Since as we know that, the probability of an event is computed as: P(E) = Number of favourable outcome /Total number of outcomes. Hence, the probability is the possibility of the occurrence of a random event.

So, the probability of selecting a green scoks = 4/10 = 2/5

And the probability of selecting a yellow socks = 6/10 = 3/5

Therefore, the probability of selecting two socks of same color

= probability of selecting both the green socks or probability of selecting both the yellow socks

= [( 2/5) + (2/5)] × [(3/5)+(3/5)]

= (4/5) × (6/5)

= 24/25

= 0.96

Hence, the probability of selecting two socks of same color is 0.96.

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The poll conducted among 1755 internet users indicates that a portion of them have posted a photo or video online. However, it is not possible to definitively conclude whether more than half of internet users have done so based solely on this survey.

The poll results show that a specific percentage of the surveyed internet users have posted a photo or video online. However, it is important to note that the sample size of 1755 users might not represent the entire population of internet users accurately. The survey participants might not be a diverse and representative sample, which can introduce biases. Additionally, there may be various reasons why some internet users choose not to share photos or videos online, such as privacy concerns, lack of interest, or limited access to technology. Therefore, while the poll provides insights into the habits of the surveyed individuals, it is not sufficient to draw a conclusive statement about the behavior of all internet users. To make a more accurate conclusion about the overall proportion of internet users who post photos or videos online, a larger and more diverse study encompassing a broader population would be needed.

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Answer:

25%

bc its 1/4 = 0.25 of the purchase price.

the other percentage is 45

108/240 = 54/120 = 18/40 = 4.5/10 = 45/100

Answer:

SECTION C (i think)

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

section c

it's square root is 4.123......

The solution to the inequality ||8-3p|| ≥ 2 is:p ≤ 2 or p ≥ 10/3. To solve the inequality ||8-3p|| ≥ 2, you'll first want to isolate the absolute value expression.

Once you've done that, you'll be left with two inequalities to solve. How to solve the inequality ||8-3p|| ≥ 2?The first inequality is 8-3p ≥ 2.

To solve for p, you can start by subtracting 8 from both sides to get:-3p ≥ -6.

Then divide both sides by -3 to get:p ≤ 2. The second inequality is -(8-3p) ≥ 2. To solve for p, you can start by distributing the negative sign to get:-8 + 3p ≥ 2.

Then add 8 to both sides to get:3p ≥ 10. Finally, divide both sides by 3 to get:p ≥ 10/3. So the solution to the inequality ||8-3p|| ≥ 2 is:p ≤ 2 or p ≥ 10/3.

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Answer:

its 945 or 982

Step-by-step explanation:

The angular speed of the wheel is given by;

ω = v/r

Here, v = 14.2 m/s (velocity of the bicycle)

r = 85/2 cm

= 0.425 m (radius of the wheel)

ω = 14.2 / 0.425

ω = 33.41 rad/s

The rotational kinetic energy of the wheel is given by;

K(rotational) = (1/2)Iω²

Where I = (1/2)MR²

I = (1/2) x 2.02 kg x (0.425 m)²

I = 0.193 kg-m²K(rotational)

= (1/2) x 0.193 kg-m² x (33.41 rad/s)²K(rotational)

= 109.4 J

The translational kinetic energy of the wheel is given by;

K(translational) = (1/2)MV²

Where V is the velocity of the wheel

K(translational) = (1/2) x 2.02 kg x (14.2 m/s)²K(translational) = 455.9 J

The total kinetic energy of the wheel is given by;

K(total) = K(rotational) + K(translational)

K(total) = 109.4 J + 455.9 J =

565.3 J

When the wheel reaches the bottom of the hill, all of the energy is kinetic, and there is no potential energy.

Therefore, the total kinetic energy of the wheel is 565.3 J.

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The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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A road is 6 degrees inclined after 4900 feet of travel. The driver's increasing in altitude is 509.6

Given that,

A road is 6 degrees inclined after 4900 feet of travel.

We have to find the driver's increasing in altitude.

In a right angle triangle,

According to the definition of a right triangle, a triangle is referred to as a right-angled triangle or simply a right triangle if one of the angles is a right angle (90°). Triangle ABC is a right triangle in the illustration, consisting of the base, altitude, and hypotenuse. The significant side of a right triangle is the hypotenuse, which is the longest side and sits in opposition to the triangle's right angle.

Sinθ=Altitude/Hypotenuse

Sinθ×Hypotenuse=Altitude

Altitude=Sin6°×4900

Altitude=0.104×4900

Altitude=509.6

Therefore, The driver's increasing in altitude is 509.6

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Answer:

\(g^{-1} (7)=5\)

Step-by-step explanation:

We are asked to find \(g^{-1} (7)\).

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair \((a,b)\) of function \(g\), then the corresponding ordered pair of \(g^{-1}\) would be \((b,a)\).

As we are asked to find \((7,b)\) of  \(g^{-1}\), we can instead find \((b,7)\) of \(g\).

This means that we are looking for where \(g(b)=7\).

From the graph, we can see that for this to be true, \(b=5\)

This means that \(g^{-1} (7)=5\)

The value of g^-1(7) is 5.

What is the value of g^-1(7)?

A function f from a set X to a set Y is said to be invertible if for every y in Y and x in X, there exists a function g from Y to X such that f(g(y)) = y and g(f(x)) = x. function is invertible only if each input has a unique output. That is, each output is paired with exactly one input. That way, when the mapping is reversed, it will still be a function.

Given that:

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair (a, b) of function g , then the corresponding ordered pair of g^-1 would be (b, a).

As we are asked to find (7,b)  of  g^-1, we can instead find (b, 7) of g .

This means that we are looking for where  g(b)=7.

From the graph, we can see that for this to be true, b=5.

So, the value of g^-1(7) is 5.

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The solutions to the given quadratic equation, 4x² + 2x - 2 = 1, are:

x = (-1 + √13) / 4

and

x = (-1 - √13) / 4

From the question, we are to solve the given quadratic equation

To solve the equation 4x² + 2x - 2 = 1,

Simplify by moving all the constants to one side and leaving the variable terms on the other side.

Add 2 to both sides:

4x² + 2x - 2 + 2 = 1 + 2

Simplifying the left-hand side gives:

4x² + 2x = 3

Next, we divide both sides by 2 to isolate the x^2 term:

2x² + x = 3/2

Now, we have a quadratic equation in standard form, ax² + bx + c = 0, where a = 2, b = 1, and c = -3/2. We can solve this using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values gives:

x = (-1 ± √(1 - 4(2)(-3/2))) / (2(2))

Simplifying under the square root:

x = (-1 ± √13) / 4

Hence, the solutions to the equation 4x^2 + 2x - 2 = 1 are:

x = (-1 + √13) / 4

and

x = (-1 - √13) / 4

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Answer:

10.44y - 12.32

Step-by-step explanation:

Use the distributive property.

4(2.61y − 3.08) =

= 10.44y - 12.32

The Laplace transform of the given function \((t)-{: 01277 1, 0\)is given by:

\(L{(t)-{: 01277 1, 0} = L{(t - 1)e^(-2t) u(t - 1)} + L{e^(-2t) u(t)}\) where u(t) is the unit step function.

Step-by-step solution is given below: Given function is (t)-{: 01277 1, 0Laplace transform of the given function is \(L{(t)-{: 01277 1, 0}=L{(t-1)e^-2t u(t-1)}+L{e^-2t u(t)}\) Where u(t) is the unit step function.

We have to find the Laplace transform of the given function.\((t)-{: 01277 1, 0 = (t-1)e^-2t u(t-1) + e^-2t u(t)\)Laplace Transform of \((t-1)e^-2t u(t-1) = L{(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)} = e^{-as} * F(s)So, (t-1)e^-2t u(t-1) = 1(t-1)e^-2t u(t-1)\)

Taking Laplace transform on both sides,\(L{(t-1)e^-2t u(t-1)} = L{1(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\)(On substituting a = 2)

Now, Let's solve \(L{e^-2t u(t)}\)

Taking Laplace transform on both sides,\(L{e^-2t u(t)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\) (On substituting a = 2) Laplace transform of the given function L{(t)-{: 01277 1, 0}= L{(t-1)e^-2t u(t-1)} + L{e^-2t u(t)}= F(s+2) + F(s+2)= 2F(s+2)= 2L{e^-2t} = 2 / (s+2)

Hence, the Laplace transform of the given function is 2 / (s+2) which is a transfer function of a system with a first-order differential equation.

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The probability that the sample mean would be less than 127 wpm if 84-speed typists are randomly selected is: 0.033625

What is Mean?

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply said, the mean is the average of the values in the given collection. It indicates that values in a certain data collection are distributed equally. The three most often employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to get the mean. When all of the values are organized in ascending order, the Median is the median value of the provided data. While the number in the list that is repeated a maximum of times is the mode.

We have

\(\mu=124\)  

\(\sigma=15\)

n=84

We want to find the probability that the sample mean would be greater than 127 WPM is

\(\begin{aligned}P(\bar{X} > 127) &=P\left(\frac{\bar{X}-\mu}{\sigma / \sqrt{n}} > \frac{127-124}{15 / \sqrt{84}}\right) \\&=P(Z > 1.83)\end{aligned}\)

\(=0.033625\)

The required probability is 0.0336.

Hence, The probability that the sample mean would be less than 127 wpm if 84-speed typists are randomly selected is: 0.033625

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Answer:

\(3 \sqrt{5} \)

Step-by-step explanation:

Solve using Surd

\( \sqrt{45} = \sqrt{9 \times 5} \\ = \sqrt{ {3}^{2} \times 5 } \\ = 3\sqrt{5} \)

The expression 3√5 will be equivalent to a square root of 45.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the expression √(45)

⇒ √(9×5)

⇒ √(3²×5)

⇒ √(3²)√(5)

Since the square root of a square is the same number

So,

⇒ 3√5

Hence "The expression 3√5 will be equivalent to a square root of 45".

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Answer:

Step-by-step explanation:

To calculate the expected payoff, we need to multiply the amount won by the probability of winning, and then add up all the results.

There are 10 odd numbers and 10 even numbers in the deck, so the probability of drawing an odd number is 10/20 = 1/2, and the probability of drawing an even number is also 1/2.

If we draw an odd number, we win $13, and if we draw an even number, we win $0. Therefore, the expected payoff is:

(1/2) × $13 + (1/2) × $0 = $6.50

So on average, we can expect to win $6.50 per game if we play this game many times.

A triangular prism with an equilateral base can serve as a single plug to block light in the square, triangular, and circular holes.

To design a single plug that can block the light in any of the three holes, we need to create a convex solid shape that can fit into each hole separately.

Given that the diameter of the circle is equal to the side of the square, and the base and height of the triangle are also equal, we can construct a shape that combines these dimensions.

One possible solution is a triangular prism with an equilateral triangle as the base. The height of the prism would be equal to the side of the square and the diameter of the circle. This shape can be inserted into the square hole by aligning the base with the hole's shape. It can also fit into the triangular hole by aligning the triangular base, and into the circular hole by fitting the prism through the circular opening.

By constructing a convex solid shape with these dimensions, we can effectively block the light in any of the three holes using a single plug.

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Answer:

m=-1/13 is the slope of the line

The production method that breaks a complex job into a series of smaller tasks is called option 1: assembly line.

What is assembly line?

A production method known as an assembly line divides the creation of a good into steps that are finished in a predetermined order.

The most often utilised technique in the mass manufacture of goods is assembly lines. Because they train unskilled workers to complete particular activities, they lower labour costs.

So, in assembly line a large complex job is first divided into small jobs.

Then the trained workers do the smaller jobs and in a fixed order.

Therefore, this process is known as assembly line.

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Answer:3/5

Step-by-step explanation:

The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

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