PLEASE HELP EXPLAIN HOW TO DO THIS GEOMETRY STEP BY STEP WITH ANSWER FOR BRAINLIEST AND A LOT OF POINTS

“Arc JKF has a radius of 3in, and Arc JLF has a radius of 4in. Arc JKF is semicircle, and the measure of Al JLF is 210°. What is the perimeter of the figure below?”

PLEASE HELP EXPLAIN HOW TO DO THIS GEOMETRY STEP BY STEP WITH ANSWER FOR BRAINLIEST AND A LOT OF POINTS

Answers

Answer 1

Answer:

  (23/3)π ≈ 24.09 in

Step-by-step explanation:

You want the perimeter of the figure bounded by two arcs, one that is a semicircle of radius 3 in, the other being an arc of 210° of radius 4 in.

Arc length

The length of an arc is given by the formula ...

  s = rθ . . . . . where r is the radius and θ is the central angle in radians

Central angles

The central angle of a semicircle is 180°, or π radians.

The central angle of an arc of 210° is 210°, or (210/180)π = 7π/6 radians.

Perimeter

The perimeter of the figure is the sum of the two arc lengths that make it up:

  (4 in)(7π/6) +(3 in)(π) = 23π/3 in ≈ 24.09 in

The perimeter of the figure is about 24.09 inches.

__

Additional comment

Arcs with those dimensions do not meet at their ends. The larger arc would need to have a measure of about 262.8° to meet the ends of a 6" semicircle.

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Related Questions

In a study examining the effect of ignoring text messages on distraction, trying to ignore text messages is the _____ variable, whereas the amount of distraction is the _____ variable.

Answers

In a study examining the effect of ignoring text messages on distraction, the variable "trying to ignore text messages" would be the independent variable, whereas the variable "amount of distraction" would be the dependent variable.

The independent variable is the one that is manipulated or controlled by the researcher. In this case, the researchers are interested in studying the effect of attempting to ignore text messages, so they would manipulate the participants' behavior in relation to text messages (e.g., asking them to ignore the messages or not).

The dependent variable, on the other hand, is the variable that is measured or observed to determine the effect of the independent variable. Here, the researchers would measure the amount of distraction experienced by the participants as a result of trying to ignore the text messages.

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is there a proportional relationship between the original price of an item and it’s sale price?

Answers

Answer:

It seems that your question is missing something, it looks like a question to a previous question. Please add all info when making a question. Also you can comment underneath my reply with that additional info.

Evaluate. what% of 105 is 85? NOTE: Round to the nearest whole number

Answers

Hey bud 85 is the answer ………

Answer:

%80

Step-by-step explanation:

To find  what percent of 105 makes 85 we do the following operation:

85*100/105 = 80 is the answer

We begin our study of regression with what is called simple linear regression (slr). the most basic statistical model says that for an observation xi (called the independent variable), the response variable yi is where which of the following data sets do you think will follow this model?

Answers

To determine which data set will follow the simple linear regression (SLR) model, we need to look for a relationship between the independent variable (xi) and the response variable (yi).

The SLR model assumes that there is a linear relationship between the two variables, meaning that as the value of xi increases or decreases, the value of yi also increases or decreases in a straight line.
Therefore, the data set that shows a clear linear relationship between xi and yi is most likely to follow the SLR model. We can use a scatter plot to visualize the relationship between the two variables and determine if it is linear.
If the scatter plot shows a roughly straight line relationship between xi and yi, then the data set is likely to follow the SLR model. On the other hand, if the scatter plot shows a curved or non-linear relationship between xi and yi, then the data set is not likely to follow the SLR model.
So, in summary, the data set that shows a clear linear relationship between xi and yi is the one that is most likely to follow the simple linear regression (SLR) model.

Simple linear regression (SLR), it is important to note that SLR is a method used to model the relationship between a response variable (yi) and an independent variable (observation xi). In this model, the response variable yi is a linear function of the independent variable xi.
Since you have not provided specific data sets to choose from, I am unable to directly indicate which data set will follow this model. However, to identify a data set that would likely follow the simple linear regression model, look for one that exhibits a linear relationship between the independent variable (xi) and the response variable (yi). In such a data set, you would observe a pattern where, as xi increases or decreases, yi would also consistently increase or decrease in a relatively straight line.
To summarize, to determine if a data set follows the simple linear regression model, check if it exhibits a linear relationship between the independent variable (observation xi) and the response variable (yi).

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The cylinder has a radius of 3 inches and a height of 9 inches. Find the volume of the

cylinder rounded to the nearest tenth.

Answers

Answer:

Volume = 254.3 inches². Step-by-step explanation: The formula for determining the volume of a cylinder is expressed as.Step-by-step explanation:

The probability of both sample information and a particular state of nature occurring simultaneously is known as _____ probability.
a. conditional
b. marginal
c. unconditional
d. joint

Answers

The probability of both sample information and a particular state of nature occurring simultaneously is known as joint probability. Then the correct option is D.

What is joint probability?

Given two random variables that are defined on the same probability space, the joint probability is a statical measure that calculates the likelihood of two events occurring together and at that same point in time.

In the given question it is said that the probability of both sample information and a particular state of nature occurring simultaneously.

So, when the state of nature of the sample remains unchanged it will not affect the sample nor does the output.

Hence, when without affecting the nature of the sample information remains intact. If the nature of the sample is changed the required out will also change.

Since both the measure are occurring simultaneously without changing the nature of the sample.

Hence, in the given condition the correct answer is d which is joint.

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round 9.725 to 2 decimal places​

Answers

Answer:

9.73

explanation:

9.725 = 9.73 rounded to nearest 2 decimal places.

two decimal places should be in two decimals example: 2.63, 8.14

Answer:

\(\huge\boxed{\sf{9.73}}\)

Step-by-step explanation:

Hello.

Remember the Rounding Rules:

If the number you are rounding is followed by a number less than 5, you round down.

If the number you are rounding is followed by a number greater than or equal to 5, you round up.

Let's check our number.

9.725

We have 3 decimal places, and we need to round to 2.

The 2nd decimal place is followed by 5, therefore, we round up:

9.725 => 9.73

And we're done!

I hope it helps & have an outstanding day!

\(\boxed{imperturbability}\)

The weight of muffins at Bob's local bakery is continuously uniform from 3 to 5 ounces. Bob will get full from eating a muffin bigger than 4.5 ounces. He eats a muffin everyday for 10 days. What is the probability that he gets full at least 2 out of these 10 days? What if he eats a muffin everyday for 100 days, what is the probability that he gets full at least 20 out of these 100 days?

Answers

The probability that Bob gets full at least 2 out of 10 days is approximately 0.7004.

The probability that Bob gets full at least 20 out of 100 days is approximately 0.9999.

To calculate the probability, we need to determine the probability of Bob getting full on a particular day.

Given that the weight of muffins at Bob's local bakery is continuously uniform from 3 to 5 ounces, we can model it as a uniform distribution. The probability of Bob getting full on a particular day is equal to the ratio of the length of the interval [4.5, 5] to the length of the entire distribution [3, 5].

For 10 days:

The length of the interval [4.5, 5] is 5 - 4.5 = 0.5.

The length of the entire distribution [3, 5] is 5 - 3 = 2.

The probability of Bob getting full on a particular day is 0.5 / 2 = 0.25.

Now, to calculate the probability that Bob gets full at least 2 out of 10 days, we can use the binomial distribution. The formula for the probability of getting at least k successes in n independent trials is:

P(X >= k) = 1 - P(X < k) = 1 - sum(C(n, i) * p^i * (1-p)^(n-i), i = 0 to k-1)

where P(X >= k) is the probability of getting at least k successes, n is the number of trials, p is the probability of success on each trial, and C(n, i) is the binomial coefficient.

For our case, we have n = 10 (number of days), p = 0.25 (probability of getting full on a particular day), and we want to find the probability of getting at least 2 successes (k >= 2).

Using the formula, we can calculate:

P(X >= 2) = 1 - sum(C(10, i) * 0.25^i * 0.75^(10-i), i = 0 to 1)

P(X >= 2) ≈ 0.7004

Therefore, the probability that Bob gets full at least 2 out of 10 days is approximately 0.7004.

For 100 days:

Using the same approach as above, the probability of Bob getting full on a particular day is still 0.25.

Now, we want to find the probability that Bob gets full at least 20 out of 100 days. Using the binomial distribution formula, we have n = 100, p = 0.25, and k >= 20.

Calculating:

P(X >= 20) = 1 - sum(C(100, i) * 0.25^i * 0.75^(100-i), i = 0 to 19)

P(X >= 20) ≈ 0.9999

Therefore, the probability that Bob gets full at least 20 out of 100 days is approximately 0.9999.

Bob has a high probability of getting full at least 2 out of 10 days, approximately 0.7004. This means that he is likely to feel satisfied with the muffins more often than not during this period.

Similarly, when Bob eats a muffin every day for 100 days, the probability that he gets full at least 20 out of these 100 days is extremely high, approximately 0.9999. This suggests that Bob is almost guaranteed to feel full on the majority of these

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Given b(x) - 1X+4. what is b(-10)?
-10
-6
6
14

Answers

Answer:

D. 1×10⁻⁸ M

Explanation:

[H⁺] [OH⁻] = 10⁻¹⁴

(1×10⁻⁶) [OH⁻] = 10⁻¹⁴

[OH⁻] = 1×10⁻⁸

The answer is -6 you welcome :)

PLEASE HELP!!
Write a paragraph to proof to show that if <1 and <2 are congruent supplementary angles, then <1 and <2 are right angles

PLEASE HELP!! Write a paragraph to proof to show that if &lt;1 and &lt;2 are congruent supplementary

Answers

Answer:

Step-by-step explanation:

Supplementary angles are two or more angles whose the addition of their measures add up to \(180^{o}\).

Given: <1 and <2.

<1 + <2 =  \(180^{o}\) (supplementary angles)

If <1 ≅ <2 (congruent property), then we have;

<1 + <1 =  \(180^{o}\)

2<1 =  \(180^{o}\)

<1 = \(\frac{180}{2}\)

   = \(90^{o}\)

<1 = \(90^{o}\)

So that since <1 and <2 are congruent, then;

<1 ≅ <2 ≅ \(90^{o}\)

Therefore if <1 and <2 are supplementary and congruent, then they are right angles.

Customers who use electricity in off peak hours in orangeburg pay a $12 meter per month plus $0.0365 per kilowatt-hour. Which equation represents the total cost 'c' of a monthly electric bill as a function of kilowatt-hours 'k' ?

A. c = 0.0365k + 12
B. c = 0.0365(k + 12)
C. c + 12 = 0.0365
D. k = 0.0365(c + 12)
E. k = 0.0365c + 12​

Answers

Answer:

A. c = 0.0365k + 12

Step-by-step explanation:

First, answer choices D and E are wrong because they represent k as a function of c.

Answer choices B and C are wrong because they incorrectly represent the cost including the monthly cost and kilowatt-hour price.

Answer choice A is correct because it properly represents the cost per kilowatt-hour (0.0365k) and properly adds the monthly cost ($12)

So, A is the right answer.

Dos correos salen de dos ciudades M y N(N está al oeste de M) distantes entre si 8kms y van ambos hacia el este.El de la msale alas 6:00am y anda 1k/h yel de N sale alas 8:00am y anda 3k/h ¿Aque hora se encontraron y aque distancia de M y N?

Answers

The time at which the two couriers met is 10:00 AM.The distance from M is equal to 4 km.The distance from N is equal to 12 km.

What is distance?

Distance can be defined as the amount of ground covered (traveled) by a physical object over a specific period of time and speed, regardless of its direction, starting point or ending point.

Mathematically, the distance (traveled) by a physical object can be calculated by using this formula:

Distance = speed × time

Making time the subject of formula, we have:

Time = distance/speed

Next, we would calculate the amount of time it will take for the two couriers to meet:

t = d/(Vm + Vn)

t = 8/(1 + 3)

t = 8/4

Time, t = 2 hours.

For the meeting time, we have:

Meeting time = 8:00 AM + 2 hours

Meeting time = 10:00 AM.

For the distance from M, we have:

Distance = 1 × 4

Distance = 4 km.

For the distance from N, we have:

Distance = 3 × 4

Distance = 12 km.

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Complete Question:

Two couriers leave two cities M and N(N is west of M) distant from each other 8kms and both go east. The one from M leaves at 6:00am and goes 1k/h and the one from N leaves at 8:00am and walks 3k/h. At what time did they meet and at what distance from M and N?

correlational studies are not well-suited for answering _________ research questions.

Answers

Correlational studies are not well-suited for answering causal research questions.

Correlational studies examine the relationship between variables and measure the degree to which they are associated or related to each other.

However, they do not establish cause-and-effect relationships between variables. This means that correlational studies cannot determine which variable is causing changes in the other or if there is a third variable influencing both variables.

Causal research questions aim to understand the cause-and-effect relationships between variables, determining whether changes in one variable directly lead to changes in another variable.

Answering causal research questions requires experimental designs or other methods that allow for manipulation of variables and control over potential confounding factors.

While correlational studies are valuable for identifying relationships and patterns between variables, they cannot determine causality.

Therefore, research questions that specifically seek to establish cause-and-effect relationships are better addressed through experimental designs or other research methods that allow for greater control and manipulation of variables.

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a retailer bought a bag for $80 and sold it for $120 calculate the percentage profit​

Answers

Answer:

50%

Step-by-step explanation:

Take the final amount and subtract the original amount

120-80 = 40

Divide by the original amount

40/80 = .5

Multiply by 100

.5 *100 = 50%

Step-by-step explanation:

Profit=Selling Price- Cost Price

=$120-$80

=$40

Profit Percentage= Profit×100/Cost Price

= 40×100/80

=100/2= 50%

hope it helps

all 20 diagonals are drawn in a regular octagon. at how many distinct points in the interior of the octagon (not on the boundary) do two or more diagonals intersect? (2013amc10a problem 25) (a) 49 (b) 65 (c) 70 (d) 96 (e) 128

Answers

the total number of distinct intersection points in the interior of the octagon is (20*5)/2 - 24 = 49. Therefore, the answer is (a) 49.

The number of intersections is equal to the number of intersections between each pair of the 20 diagonals. We can count the number of intersection points by counting the number of ways to choose 4 diagonals out of the 20, and then counting the number of intersection points for each set of 4 diagonals.

To count the number of intersection points for a set of 4 diagonals, note that each intersection point is determined by the intersection of two lines. Thus, we can count the number of intersection points by counting the number of pairs of lines that intersect, and subtracting the number of intersections that occur at the vertices of the octagon.

Each diagonal intersects 5 other diagonals, so there are (20*5)/2 = 50 pairs of diagonals. However, this overcounts each intersection point twice, so we need to divide by 2 to get the total number of intersection points.

At each vertex, 3 diagonals intersect. There are 8 vertices, so there are 8*3 = 24 intersections that occur at the vertices of the octagon.

Thus, the total number of distinct intersection points in the interior of the octagon is (20*5)/2 - 24 = 49. Therefore, the answer is (a) 49.

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The first four nonzero terms in the power series expansion of the function f(x) = sinx about x = 0 are Select the correct answer. a. 1-x+x^2/ 2-x^3 /3 b.1-x^2/ 2+x^4/ 24-x^6/ 720 c. x + x^3 + x^5 + x^7d. x - x^3/ 6+x^5 /120-x^7/5040 e. 1 +x^2 / 2 +x^4 / 4 +x^6 / 6

Answers

The power series expansion of the function f(x) = sinx. The correct answer is (b) 1-x^2/2 +x^4/24 -x^6/720.

To obtain this answer, we can use the power series expansion formula for sinx, which is given by

sinx = x - x^3/3! + x^5/5! - x^7/7! + ... .

Evaluating the first four terms of this expansion around x=0, we get

sinx = x - x^3/3! + x^5/5! - x^7/7! + ...

= x - (x^3/6) + (x^5/120) - (x^7/5040) + ...

= 1-x^2/2 +x^4/24 -x^6/720 + ...,

which is equivalent to option (b).

Therefore, the first four nonzero terms in the power series expansion of f(x) = sinx about x=0 are 1-x^2/2 +x^4/24 -x^6/720. The correct option is B).

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A class comprises 10 students. How many different ways can the students' desks be arranged in a row


Answers

Step-by-step explanation:

John has a ten-dollar bill. He buys a can of pop for $1.29 and 2 candy bars at.89 each. How much does he spend? How much change does he get back?​

Answers

John spends $3.07

John gets  as his change $6.93

John has a ten dollar bill

He buys a pop for $1.29

He also buys 2 candy bars at $0.89

= 0.89×2

= 1.78

The amount he spends

= 1.29 + 1.78

= 3.07

He spends $3.07

The amount of change he gets can be calculated as follows

10-3.07

= $6.93

Hence John spends $3.07 and gets $6.93 as his change

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Solve the following:
4x3 = 2x + 7

Answers

Answer:

If you meant 4x to the third power, than x = 1.34

Please help me please



Please help me please

Answers

All the values are,

a)  lim x → 3 [ 2 f (x) - g (x)] = 18

b)  lim x → 3 [ 2 g (x) ]² = 16

c)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ] = - 1

We have to given that;

Limits are,

lim x → 3 f (x) = 8

lim x → 3 g (x) = - 2

lim x → 3 h (x) = 0

Now, We can simplify all the limits as;

1) lim x → 3 [ 2 f (x) - g (x)]

⇒  lim x → 3 [ 2 f (x)] -  lim x → 3 [ g (x) ]

⇒ 2  lim x → 3 [  f (x) ] - (- 2)

⇒ 2 × 8 + 2

⇒ 16 + 2

⇒ 18

2)  lim x → 3 [ 2 g (x) ]²

⇒ 4 [ lim x → 3  g (x) ]²

⇒ 4 × (- 2)²

⇒ 4 × 4

⇒ 16

3)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ]

⇒ ∛8 / (- 2) + 4 × 0 / (3 + 7)

⇒ - 2/2 + 0

⇒ - 1

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A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0.80. how much of the variance for the y scores is predicted by its relationship with x?

Answers

0.64 or 64% of the variance for the y scores is predicted by its relationship with x.

What is coefficient of determination?

The percentage of the variation in the dependent variable that can be predicted from the independent variable is known as the coefficient of determination, abbreviated R2 or r2, in statistics.

How to find the variance for the y scores?

given that

A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0.80.

now we have to find the variance for the y scores.

here, r=0.80 then \( {r}^{2} = 0.64\)

which means 0.64 or 64% of the variance for the y scores is predicted by its relationship with x.

\(r = \sqrt{ {r}^{2}} \: or \: \sqrt{ {r}^{2}} \\ 0.80 = \sqrt{ {0.80}^{2} } \\ 0.80 = 0.80\)

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write the standard equation of the conic section you chose with its center or vertex at the origin. describe the graph. 15px

Answers

The equation you mentioned, "15px," does not specify a conic section or provide enough information to determine the standard equation or describe the graph.

To determine the standard equation of a conic section with its center or vertex at the origin, you need more specific details about the conic section, such as its shape (circle, ellipse, parabola, or hyperbola) and additional parameters like the radius, semi-major axis, semi-minor axis, eccentricity, or focal length.
Once you have the necessary information, you can use the properties and characteristics of the specific conic section to derive its standard equation. The standard equations for different conic sections will have different forms and coefficients.
Please provide more information or clarify the conic section you are referring to so that I can assist you further in determining its standard equation and describing its graph.


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Helppp!!!! please!!!

Helppp!!!! please!!!

Answers

Answer:

c

Step-by-step explanation:

The formula for the volume of a square pyramid is \(a^{2} \frac{h}{3}\). a is your base edge and the h is your height. In this case it would be \(5^{2} \frac{7}{3}\). when you wokr it out it would be 58.333, or 58 which is c.

also you would do 5 x 5 then you would multiply it by 7/3.

What is the biggest common multiple of 5 and 10

Answers

Answer:

5

Step-by-step explanation:

Find the GCF of 5 and 10, if their LCM is 10. Therefore, the greatest common factor of 5 and 10 is 5. The product of two numbers is 50.

Scientists determined that Antarctica's average winter temperature was -34.44 degrees Celsius. The difference between this and Antarctica's highest recorded temperature was 49.44 degrees. What was Antarctica's highest recorded temperature? (7th grade work)

Answers

Answer:

Antarctica's highest recorded temperature was 15 degrees.

Step-by-step explanation:

I am going to say that Antarctica highest recorded temperature is x.

I suppose there is a small typing mistake.

It is that the difference between Antarctica highest recorded temperature and this is 49.44.

So we have that x - (-34.44) = 49.44 instead of -34.44 - x = 49.44, which would lead to a highest temperature way lower than the one recorded in this winter.

So

x - (-34.44) = 49.44

x + 34.44 = 49.44

x = 49.44 - 34.44

x = 15

Antarctica's highest recorded temperature was 15 degrees.

Answer:

15 degrees

Step-by-step explanation:

true or false? two proofs are required to establish the provable equivalence of two sentences of tfl.

Answers

The statement "two proofs are required to establish the provable equivalence of two sentences of tfl" is false.

Only one proof is required to establish the provable equivalence of two sentences of TFL.

What is TFL? TFL (Truth-Functional Logic) is a form of propositional logic in which the only logical expressions are truth functions. Truth functions are built from a fixed set of truth-functional connectives or operators, each of which operates on one or more sentences to create a compound sentence. TFL's operators are all truth-functional; that is, the truth or falsity of a sentence depends solely on the truth or falsity of its atomic components and how they are combined by the operators.

Here are the five standard truth-functional operators in TFL:

Conjunction: AND (•)

Disjunction: OR (+)

Negation: NOT (~)

Conditional: IF...THEN (→)

Biconditional: IF AND ONLY IF (↔)

Proofs are used to demonstrate the validity of sentences in TFL. It is important to note that a sentence's validity is a property of the sentence itself, not the sentence's meaning. To demonstrate the validity of a sentence in TFL, proofs are created.In TFL, two sentences are provably equivalent if and only if they are logically equivalent. The provable equivalence of two sentences in TFL only requires one proof. Thus, the statement, "Two proofs are required to establish the provable equivalence of two sentences of TFL," is false.

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Help please!!!

12x + 6y= 162
2x + 10y= 126

Solve using system of equations. Show all work

Answers

Answer:

(8, 11)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

12x + 6y = 162

2x + 10y = 126

Step 2: Simplify systems

2x + y = 27

x + 5y = 63

Step 3: Rewrite systems

2x + y = 27

x = 63 - 5y

Step 4: Solve for y

Substitute in x:                        2(63 - 5y) + y = 27Distribute 2:                            126 - 10y + y = 27Combine like terms:               126 - 9y = 27Isolate y term:                         -9y = -99Isolate y:                                  y = 11

Step 5: Solve for x

Define equation:                    x + 5y = 63Substitute in y:                       x + 5(11) = 63Multiply:                                  x + 55 = 63Isolate x:                                 x = 8

Answer:

x = 8 and y = 11

Step-by-step explanation:

solve for y

12x + 6y = 162

-12x          -12x

6y = 162 - 12x

/6             /6  

y = 27 - 2x

substitute

2x + 10(y) = 126

2x + 10(27 - 2x) = 126

2x + 270 - 20x = 126

-18x + 270 = 126

       -270    -270

-18x = -144

-18        -18

x = 8

substitute again:

y = 27 - 2(x)

y = 27 - 2(8)

y = 27 - 16

y = 11

Select the graph of Y = sec X Please help!!!!

Select the graph of Y = sec X Please help!!!!

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A ____________________ allows us to examine how the probability distribution of a dependent variable,Y, might be related to one or more independent variables (collectively called X).
a) regression model
b) sampling distribution model
c) scatter plot model
d) confidence interval
e) hypothesis test
f) prediction interval

Answers

A regression model allows us to examine how the probability distribution of a dependent variable, Y, might be related to one or more independent variables (collectively called X). Therefore, the correct answer is (a) regression model.

A regression model is a statistical tool used to model the relationship between a dependent variable (often denoted as Y) and one or more independent variables (often denoted as X). It can help us understand how changes in the independent variables affect the values of the dependent variable, and can be used to make predictions or estimate values of the dependent variable based on specific values of the independent variables.

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HELP!!!! I don’t know what to do

HELP!!!! I dont know what to do

Answers

Answer:

-2

Step-by-step explanation:

the slope is 4/-2

so when you reduce it you get -2

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