Simplify the expression

Answer:

t = b + n

Step-by-step explanation:

for the 2 lines to be parallel then their slopes must be equal

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (x₁, a + n ) and (x₂, y₂ ) = (x₂, t ) ← 2 points on line k

m = [tex]\frac{t-(a+n)}{x_{2}-x_{1} }[/tex] = [tex]\frac{t-a-n}{x_{2}-x_{1} }[/tex]

repeat with

(x₁, y₁ ) = (x₁, a ) and (x₂, y₂ ) = (x₂, b ) ← 2 points on line j

m = [tex]\frac{b-a}{x_{2}-x_{1} }[/tex]

equating the 2 slopes gives

[tex]\frac{t-a-n}{x_{2}-x_{1} }[/tex] = [tex]\frac{b-a}{x_{2}-x_{1} }[/tex]

since the denominators are the same on both sides, then equate the numerators

t - a - n = b - a ( add a to both sides )

t - n = b ( add n to both sides )

t = b + n

Answer:

40

Step-by-step explanation:

40

Answer:

Below

Step-by-step explanation:

( x * (-8) )  - 7 =  1

  - 8x = 8

      x = -1

Answer:

the unknown number is -1

Step-by-step explanation:

-8x-7=1

     +7. +7

-8x=8

/-8.   /-8

x= -1

hopes this helps please mark brainliest

The probability of success and failure is the same in both cases.

Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment that has two possible outcomes.

Sample space for throwing (H, H), (H, T), (T, H), (T, T).

So, N(S) = 4.

P(S) = 2/4 = 1/2 and P(F) = 2/4 = 1/2.

The probability of success is [tex]\frac{1}{2}^{(745)}[/tex].

And the probability of loss is also [tex]\frac{1}{2}^{745}[/tex].

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Answer: 9.1 lb/in.^2

Step-by-step explanation:

To begin, plug in your X value to get P=14.7e^(-0.21(2.3)).

With this you can solve for P=9.1 lb/in.^2

A graph which shows the system of equations and its solution is graph B.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.

In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

-x - 2y = -4

5x - y = -13

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each, which is given by the ordered pair (-2, 3);

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The average value of the function f(x) on [0, 2] is 3.03515625.

A function is a relationship between the inputs, such that each input is related to one and only one output. If it is related to more than one output, then the relation is not a function.

The question did not specify the value of f(x). Considering the value of f(x) as f(x)= [tex]x^4[/tex] on (0,2)

Now, partitioning the interval into four sub-intervals of equal length, we get,

2-0/4=2/4 or 1/2 or 0.5

Thus, we get the four intervals:

[0, 0.5], [0.5, 1], [1, 1.5], and [1.5, 2].

When finding the mid-points of the intervals, we get the mid-points as:

[0, 0.5] = 0.25

[0.5, 1] = 0.75

[1, 1.5] = 1.25

[1.5, 2] = 1.75

Now, finding the f(x) of each interval, by substituting the value of the mid-point in the place of x we get:

Thus, f(0.25) = [tex]0.25^4[/tex]

f(0.75) = [tex]0.75^4[/tex]

f(1.25) = [tex]1.25^4[/tex]

f(1.75) = [tex]1.75^4[/tex]

Now, find the average value of f(x) =[tex]x^4[/tex]  on [0, 2].

1/2[([tex]0.25^4[/tex]+[tex]0.75^4 +1.25^4+1.75^4[/tex])/2]

= 3.03515625

Thus,

The average value of the function f(x) on [0, 2] is 3.03515625.

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a)  The probability that from 3 to 6 have blowouts is 0.7073

b)  The probability that fewer than 4 have blowouts is  0.4613

c)  The probability that more than 5 have blowouts is 0.1483

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given : In testing a certain kind of truck tire over rugged terrain, it found

that 25% of the trucks fail to complete the test run without a  blowout,

15 Truck Tested

To Find : probability that

(a) from 3 to 6 have blowouts:

(b) fewer than 4 have blowouts,

25% of the trucks fail to complete the test run without a  blowout,

=> probability of blow out p = 1/4

q  = 1 - p = 3/4

n = 15  

P(x)   = ⁿCₓpˣqⁿ⁻ˣ

probability that

(a) from 3 to 6 have blowouts:

= p(3) + p(4) + p(5) + P(6)

= ¹⁵C₃(1/4)³(3/4)¹² + ¹⁵C₄(1/4)⁴(3/4)¹² + ¹⁵C₅(1/4)⁵(3/4)¹⁰ + ¹⁵C₆(1/4)⁶(3/4)⁹

=0.7073

b) fewer than 4 have blowouts,

= P(0) + P(1)  + P(2)   + P(3)

= ¹⁵C₀(1/4)⁰(3/4)¹⁵ + ¹⁵C₁(1/4)¹(3/4)¹⁴ + ¹⁵C₂(1/4)²(3/4)¹³ + ¹⁵C₃(1/4)³(3/4)¹²

= 0.4613

c) more than 5 have blowouts

 Formula:

P(X>5) = 1 - P ( X≤ 5 )  = 1 - ( P(0) + P(1)  + P(2)   + P(3) + P(4) +P(5) )

Using the similar calculations , we get

P(X>5) =  1 - 0.8517 = 0.1483

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The values of the trigonometric functions sin(∅) and cos(∅) are -1/2 and [tex]\frac{\sqrt{3} }{2}[/tex] respectively.

The trigonometric functions and identities are the ratio of sides of a right-angled triangle. The sides of a right triangle are the perpendicular side, hypotenuse, and base, which are used to calculate the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulae.

if ∅ = [tex]\frac{11\pi }{6}[/tex] rad converting to degree

we know that [tex]\pi[/tex] rad = 180°

which means  ∅ in degrees = 11/6 x 180 which is 330°

sin(330) = -1/2

cos(330) = [tex]\frac{\sqrt{3} }{2}[/tex]

In conclusion, the function values of the sin(∅) and cos(∅) are -1/2 and  [tex]\frac{\sqrt{3} }{2}[/tex]

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As per the confidence interval, the average weight gain for composites of this kind is smaller than 0.43% is 0.0006​

Confidence interval

In statistics, the probability that a population parameter will fall between two set values is known as Confidence interval.

Given,

Here the weight gains of a collection of n =21 samples of composite subjected to water diffusion were obtained. The sample mean is x=0.42% with a sample std. of S=0.04%

Here we need to find the 95% confident from the results of this experiment that the average weight gain for composites of this kind is smaller than 0.43% .

As per the given question, we have the following details,

=> x=0.337%,

=> s=0.025%,

=> n=18.

And then we use next test hypotheses 

=> H0​:μ≥0.36 versus HA​:μ<0.36.

And then first we will calculate t-statistic and then p-value to decide which hypotheses we will accept.

=> [(0.337−0.36)/ 0.025] x √18​

=> -3.903,

=> p = TDIST(∣t∣, n − 1 , 1)

=> p = TDIST(∣−3.903∣,17,1)=0.0006​

Therefore, p-value is smaller than 0.01, we reject H0​ and accept HA​.

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Answer:

g=7

Step-by-step explanation:

To solve this equation, we need to isolate the variable g on one side of the equation. We can do this by first dividing both sides of the equation by 2. This gives us:

g - 4 = 3

Next, we can add 4 to both sides of the equation to isolate the variable g on the left side of the equation. This gives us:

g = 7

Therefore, the value of g that satisfies the equation is 7.

The area on the graph that is not shaded is the region of feasibility. The shape is a triangle and the vertices of the feasible region are: (5,1.5), (.75,.75), (1.5,.5)

The system of inequalities below, We need to determine the shape of the feasible region and find the vertices of the feasible region

x+y<=2

3x+y>=3

x+3y>=3

x>=0

y>=0

Now, we would graph with the following inequalities

x+y>=2

3x+y<=3

x+3y<=3

x<=0

y<=0

Therefore, the area on the graph that is not shaded is the region of feasibility and the shape is a triangle, the vertices of the feasible region are: (5,1.5) (0.75, 0.75), (1.5,.5).

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Therefore you can use midpoint to find the other endpoint  (x2,y2), then by rewriting the (x2,y2)= (2a-x1,2b-y1) .

The exact midpoint between two other plane points needs to be found on occasion. For example, you might seek out a line that splits a particular line segment into two equal halves. This central region is known as the "halfway."

Here,

If you are aware of one endpoint (x1, y1) and the midpoint (a, b), but are unaware of the second endpoint (x2, y 2), you can solve the problem by rewriting the

=> a=[tex]\frac{x1+x2}{2}[/tex]

=> 2a=x1+x2

=>2a-x1=x2

=> b=[tex]\frac{y1+y2}{2}[/tex]

=>2b=y1+y2

=> 2b-y1=y2

So, the unknown endpoint can be found by

(x2,y2)=(2a-x1,2b-y1)

Therefore you can use midpoint to find the other endpoint  (x2,y2), then by rewriting the (x2,y2)= (2a-x1,2b-y1) .

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The appropriate statistical decision that researcher should use is that (d) Reject the null hypothesis with either a = 0.05 or a = 0.01

The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable.

Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not.

According to the null hypothesis, there is no relationship between the independent variable and the measured event (the dependent variable). To test the null hypothesis, we don't have to think it's accurate. In contrast, you can suppose that a group of variables (dependent and independent) are connected.

According to the question ,

A researcher is testing a null hypothesis stating that for the general population there is no preference between the two leading brands of cola In a sample of n = 100 people, 35 preferred brand A and 65 preferred brand B.

The appropriate statistical decision is (d) Reject the null hypothesis with either a = 0.05 or a = 0.01

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The value of x is 6.

What is system of linear equations?

A collection of one or more linear equations involving the same variables is known as a system of linear equations in mathematics. For instance, the system of three equations 3x + 2y - z = 1, 2x - 2y + 4z = -2, -x + y - z = 0 has the three variables x, y, and z.

A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.

Graphically, a system of linear equations that has no solution indicates two parallel lines-that is, two lines that have the same slope but different y-intercepts.

To have the same slope, the x-and y-coefficient must be the same.

To get from -2/3 to -8 you multiply by 12, so multiply  -1/2x by 12 as well to yield 6x.

Because the other x-coefficient is a, it must be that a = 6  and (D) is correct.

Note that, even though it is more work, you could also write each equation in slope-intercept form and set the slopes equal to each other to solve for a.

Hence, the value of x is 6.

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Answer:

Yes, we can use both ASA Postulate or the AAS Theorem to prove the triangles congruent. ASA postulate says that if two angles and the included side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

The final balance after 10 years is $33257.92.

The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.

The expression for the amount for compound interest is given as,

A = P(1 + r/100)ⁿ

After 6 years the amount can be calculated as,

A =  10000(1 + 10/100)⁶

  =  10000 × (11/10)⁶

  =  0.01 × 11⁶

  = 17715.61
As per the question $ 5000 is added at the end of 6 years.

So, the principal becomes 17715.61 + 5000 = 22715.61.

And, the remaining time is 10 - 6 = 4 years.
Now, the amount obtained after 10 years can be calculated as,

A = 22715.61(1 + 10/100)⁴

   = 22715.61 × 1.1⁴

   = 33257.92

Hence, the end of 10 years, the balance in Jarad's account is given as $33257.92.

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Answer:

4x+y=-2

Step-by-step explanation:

y=-4x-2

Write this in standard form:

Ax+By=C  ==> C is a constant

First, put x and y on one side of the equation:

y+4x=-4x+4x-2 ==> isolate -2 by adding 4x on both sides

y+4x=-2

4x+y=-2  ==> switch x and y to make the equation in standard form

the consumption function for this data can be expressed as:

y = 0.97x + 11.3

To find the consumption function, we can use a least-squares regression analysis. This process involves finding the line of best fit that minimizes the sum of the squared errors of the data points.

We can use a graphing calculator or a statistical software package to calculate the slope and intercept of the line of best fit. Using a graphing calculator, the slope and intercept of the line of best fit are 0.97 and 11.3, respectively.

Therefore, the consumption function for this data can be expressed as:

y = 0.97x + 11.3

The consumption function is a mathematical expression of the relationship between consumption (y) and disposable income (x). The consumption function for this data can be expressed as:

y = 0.97x + 11.3

This equation states that for every one dollar increase in disposable income, consumption is expected to increase by 0.97 dollars. The 11.3 in the equation represents the intercept, which is the expected consumption level when disposable income is zero.

This equation can be used to estimate the expected consumption level for any given level of disposable income. For example, if disposable income is $10,000, then the expected consumption level is $9,703 (10,000 x 0.97 + 11.3).

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The best approximation for the area of a circle with a diameter of 19 meters is 283.4 m².

What is the diameter?

Any straight line segment that cuts through the center of a circle and has ends that are on the circle is considered a circle's diameter in geometry. It is also known as the circle's longest chord. The diameter of a sphere can be defined using either of the two methods.

Here, we have

the area of a circle with a diameter of 19 meters.

By using the area formulas, we get

A = πr²

d = 2r

Solving for A

A = 1/4πd²

= 1/4×π×19²

≈283.52874m²

Hence, the best approximation for the area of a circle with a diameter of 19 meters is 283.4 m².

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A meta - operation defines any form or protocol for the operation, but doesn't its implementation. Option (a) is correct.

Programmers reverence type of protocols. We think about protocols as some thing given to us from on excessive through the Cerfs, Postels, and Berners-Lees of the world. But the fact is that programmers construct protocols all of the time. Sometimes those are advert hoc and different instances they're constructed with the assist of a metaprotocol. Communication protocols in general, in addition to protection protocols, want a better degree of pliability to deal with evolution.

Many method will increase the extent of code sharing and reuse. I additionally observed that protection protocols are best-suitable for the utility of my framework due to the fact maximum protection protocols proportion a comparable set of capabilities and showcase not unusualplace sequences and styles withinside the manner they operate. Therefore, I proven the framework through making use of it to the implementation of numerous protection protocols: Needham-Schroeder Authentication Protocol, ISAKMP, and SSL.

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It takes about 13.33 hours for the friend to paint a room by himself.

If two persons are working on the same project together, their work rates add up and they can finish the project faster. If x is the time taken by person 1 to complete a task, then the work rate is 1/x. If y is the time taken by person 2 to complete a task, then the work rate is 1/y.  Then, the formula to calculate the work-rate problem is [tex]\frac{1}{x}+\frac{1}{y}=\frac{1}{t}[/tex].

Here, the rate of work done by person 1 is 1/8. Together, the rate is 1/5. Then,

[tex]\begin{aligned}\frac{1}{8}+\frac{1}{y}&=\frac{1}{5}\\\frac{y+8}{8y}&=\frac{1}{5}\\5y+40&=8y\\3y&=40\\y&=\frac{40}{3}\\&=13.33\end{aligned}[/tex]

Therefore, the answer is 13.33 hours.

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Answer: May I see the graph?

Step-by-step explanation:

A rhombus is a quadrilateral with 4 equal sides. A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.

A rhombus is a closed two-dimensional plane figure. It is considered a special parallelogram, and because of its unique properties, it gets an individual identity as a quadrilateral. A rhombus is also called an equilateral quadrilateral since all of its sides are equal in length. The term ‘rhombus’ has been derived from the ancient Greek word ‘rhombos', which actually means something that spins

given that

a parallelogram with all sides of equal length without any right angles

A rhombus is a quadrilateral with 4 equal sides. A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.

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The equation which represents the counters inside the rectangle is,

12 ÷ 3 = 4.

What is equation?

Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

In the given diagram there is a rectangle containing 4 counters.

Each counter containing 3 red balls.

So, the total number of red balls are 4 x 3 = 12.

From this the equation which represents the counters inside the rectangle is,

12 ÷ 3 = 4.

Hence, the equation which represents the counters inside the rectangle is, 12 ÷ 3 = 4.

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Yes, it's true that the interpretations that participants make of events can be best studied through qualitative research techniques like participant observation or in-depth interviews.

Going into the field without telling every subject of the field research who you are is always unethical. The following are a number of the methodologies normally utilized in qualitative research: Ethnography commonly entails researchers immediately gazing members of their herbal environments over time. A key characteristic of ethnography is the truth that herbal settings, unadapted for the researchers' interests, are used.

A famous and useful categorization separate qualitative strategies into 5 groups: ethnography, narrative, phenomenological, grounded theory, and case study. John Creswell outlines those 5 strategies in Qualitative Inquiry and Research Design. As maximum qualitative information is amassed via interactions with members via the usage of interviews, surveys, questionnaires, or awareness groups, a researcher have to discover members who're inclined to talk approximately their experiences.

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Correct Question:

Qualitative research methods, such as participant observation or intensive interviews, are particularly strong in studying the meanings that participants attach to events. state true or false.

The measure of angle C in the vertical angles is B. 28.3°.

Vertical angles are the angles formed when two lines intersect. The term "vertical" in this context refers to the fact that they share the same Vertex (corner point), rather than the usual meaning of up-down.

When two lines intersect, vertical angles are formed. Because the angles are opposite each other, they are sometimes referred to as vertically opposite angles. Real-world examples of vertical angles include a railroad crossing sign, the letter "X," open scissors pliers, and so on.

There angles are equal. Therefore, it'll be 28.3°.

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Answer: 28.3 GO GET UR A+ BROSKI

Step-by-step explanation:

They're virtical angles which mean

THEY'RE THE SAME BRO

so just do 28.3 :)

The expected value means what we expect to lose -$1.05 if the 1st is correct and lose -$.63 for the 2nd if that is correct.

Alright so we need to know the equation for expected value. So this turns our to be a pretty simple equation being:

E(X)=ΣxP(X=x)

So since we have all of our information we just need to use the equation. So:

E(X)= -$5*125/216+ $5*75/216+$10*15/216+$24*1/216 = -$1.045

I did notice however that there might be a mistake on this question since you have the win if 2 dice are correct as only being $10 instead of what i would think of being 16. If that is the case then the expected value is below

E(X)= -$5*125/216+ $5*75/216+$16*15/216+$24*1/216 = -$.6300

So the expected value means what we expect to lose -$1.05 if the 1st is correct and lose -$.63 for the 2nd if that is correct.

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The structure of the Binary search tree as follows:

A

/ \

B  D

/   \

C    G

 \

  E

  \

   F

Step 1: Create an empty binary search tree.

Step 2: Insert the node "A" into the tree.

Step 3: Insert the node "B" into the tree, with "A" as its left child.

Step 4: Insert the node "C" into the tree, with "B" as its right child.

Step 5: Insert the node "D" into the tree, with "A" as its right child.

Step 6: Insert the node "E" into the tree, with "C" as its left child.

Step 7: Insert the node "F" into the tree, with "E" as its right child.

Step 8: Insert the node "G" into the tree, with "D" as its right child.

Step 9: The resulting binary search tree is as follows:

A

/ \

B  D

/   \

C    G

 \

  E

  \

   F

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