How is ahow is a linear relationship between two variables measured in statistics? explain. select all the true statements.

Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

Sione needs to play 21 games to score more than 150 points

The total number of points needed is 150. And we are told he already has 110 goals on standby. If he averages 2 points per game. Then we would have a mathematical inequality in the range

where x is the amount of games needed. And 2x represents the amount of points needed.

The equation can be solved by collecting like terms and solving

2x = 150 - 110

2x = 40

x = 40/2

x = 20

This means that Sione needs to play at least 20 games to equal 150 points and at least 21 games to surpass this tally.

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9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

You can compare parts of each expression to see that x in the left-side expression is replaced by 10 in the right-side expression.

  x = 10

__

If you'd rather, you can work your way down to the same conclusion by undoing the operations that have been done to x.

  (6x -1)° = (6(10) -1)° . . . . . . given

  6x -1 = 6(10) -1 . . . . . . . . . divide both sides by °

  6x = 6(10) . . . . . . . . . . . .  add 1 to both sides

  x = 10 . . . . . . . . . . . . . . . . divide both sides by 6

The Solution:

Given:

We are required to find the key features of the given function.

Below is the graph of the function:

Thus, the correct answers are:

The x-intercepts are:

Simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

As given in the question,

Simple Interest:

The simple interest is an amount that is paid for loan or borrowed money over a certain period at a fixed percentage of borrowed money.

Principal amount:

Principal amount is the money that is taken as loan or borrowed.

Formula of Simple Interest:

Simple interest = Principal amount × Rate × Time

Since,

Principal amount = $10,000

Rate = 4% per year

Time = 5 years

Then,

Simple interest = 10,000 × 4 × 5

Simple interest = $ 12000

Total value after 5 years = $ 12000

Principal amount = $ 10000

Interest Earned = (Total value) - (Principal amount)

Interest Earned = $ 12000 - $ 10000

Interest Earned = $ 2000

Therefore, simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

The complete question is:

Fabian is taking out a loan in the amount of $10,000. His choices for the loan are a 5-year loan at 4% rate of interest .What is the amount of simple interest and interest earned Fabian would have to pay?

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Answer:

a = 20°

b = 160°

c = 125°

u = 110°

v = 70°

w = 110°

x = 70°

y = 110°

z = 110°

Step-by-step explanation:

Theorems

Using the Vertical Angles Theorem:

⇒ a = 20°

Using the Angles on a straight line Theorem:

⇒ 20° + b = 180°

⇒ b = 180° - 20°

⇒ b = 160°

Using the Vertical Angles Theorem:

⇒ c + 35° = b

⇒ c + 35° = 160°

⇒ c = 160° - 35°

⇒ c = 125°

Using the Vertical Angles Theorem:

⇒ u = 110°

⇒ v = 70°

Using the Same-side Exterior Angles Theorem:

⇒ v + w = 180°

⇒ 70° + w = 180°

⇒ w = 180° - 70°

⇒ w = 110°

Using the Corresponding Angles Postulate:

⇒ y = 100°

Using the Vertical Angles Theorem:

⇒ y = z = 110°

Using the Angles on a straight line Theorem:

⇒ x + z = 180°

⇒ x + 110° = 180°

⇒ x = 180° - 110°

⇒ x = 70°

Answer:

1)

A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show. - 6x + 3 = 27

Explanation: As it is revealed in the situation, the family buys six tickets and the price of these tickets is unknown, so we must replace that with a variable, which gives us 6x so far. Next, it is shown that an additional three dollars were spent for a parking fee, so the next part of the equation is + 3. In total, they spend twenty-seven dollars, including the three dollars spent for the parking fee, which gives us the final part of the equation; = 27. Therefore, the equation will be 6x + 3 = 27.

Diego has 27 ounces of juice. He pours equal amounts for each of his three friends and has six ounces left for himself. - 3x + 6 = 27

Explanation: From the situation, we are told that Diego has three friends he shared the juice with and was left with six ounces for himself, meaning how much the friends took was unknown, but what was left after giving it away is clear, which was six ounces. So, the first part of the equation would be 3x + 6. It is also known that there was 27 ounces of juice at first, meaning what he shared and what he had left would equal 27, so the equation would be 3x + 6 = 27.

Jada worked for six hours preparing for the art fair. She spends three hours on a sculpture and then paints 27 picture frames. - 27x + 3 = 6

Explanation: When you first look at the story, you can see that six hours total were spent on the whole project together, meaning the final part of the equation would be = 6. The first part, however, would be concluded through how Jada spent an unknown amount of time for 27 picture frames and spent three more hours on a sculpture, which would lead to equal six. So the first part would be 27x + 3, and the actual equation for the story would be 27x + 3 = 6.

a) First story (6 tickets story) - x = price of tickets

   Second story (27 ounces of juice story) - x = ounces of juice given to each friend

   Third story (art project) - x = time spent on each picture frame

Important note: These are all what is unknown!

b)

6x + 3 = 27 (original equation)

Subtract three on both sides to isolate x: 6x = 24

Divide by four on both sides to isolate x: x = ($)4

3x + 6 = 27 (original equation)

Subtract by six on both sides to isolate x: 3x = 21

Divide by three on both sides to isolate x: x = 7 (oz.)

27x + 3 = 6 (original equation)

Subtract by three on both sides to isolate x: 27x = 3

Divide by twenty-seven on both sides to isolate x: x = 1/9 (hours)

c)

Diego gave each of his friends seven ounces of juice.

Inferred: We can infer that Diego had more than one friend that we was giving to. Seven ounces of juice were being given, and there are unknown amount of friends that are getting the ounces of juice.

Mommy spent $4 per person to attend the show.

Inferred: There was probably more than one person attending. The cost for one person('s ticket) was four dollars. The cost was at least $8 dollars as the mother also attended. They were trying to attend a show with an unknown amount of people.

Hope this helped somewhat! Please give brainliest, if that's okay with you! It just took a lot of effort lol :P Have a great night!

B. 72

1st. 60/130

= .461538462 or 6/13

2nd. Multiply by 156. (Use decimal or fraction)

= 72

Answer: y= 10x+50 for Extreme and y= 15x+30

Step-by-step explanation: the additional fee is your add on and the cost per month is your slope

The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.

We have,

To prove the equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 using mathematical induction,

We will follow the three steps of mathematical induction:

The base case, the induction hypothesis, and the inductive step.

Step 1: Base case

Let's start by checking if the equation holds true for the base case, which is n = 1.

When n = 1, the left-hand side (LHS) is 1² = 1, and the right-hand side (RHS) is 1(1 + 1)(2(1) + 1) / 6 = 1.

Since LHS = RHS for the base case, the equation holds true.

Step 2: Induction hypothesis

Assume the equation holds true for some positive integer k, where k ≥ 1. This is our induction hypothesis:

1 + 4 + 9 + ... + k² = k(k + 1)(2k + 1) / 6

Step 3: Inductive step

We need to prove that if the equation holds true for k, it also holds true for k + 1.

Starting with the left-hand side of the equation, we add (k + 1)² to both sides:

1 + 4 + 9 + ... + k² + (k + 1)² = k(k + 1)(2k + 1) / 6 + (k + 1)²

Simplifying the right-hand side:

= [k(k + 1)(2k + 1) + 6(k + 1)²] / 6

= [(2k³ + 3k² + k) + (6k² + 12k + 6)] / 6

= (2k³ + 9k² + 13k + 6) / 6

= [(k + 1)(k + 2)(2k + 3)] / 6

We can see that the right-hand side is now in the form

(k + 1)((k + 1) + 1)(2(k + 1) + 1) / 6, which matches the equation for k + 1.

Since the equation holds true for k implies it holds true for k + 1, and the base case is true, we have proven the equation using mathematical induction.

Therefore,

The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.

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Answer:

AB/ PQ = BC/QR

Step-by-step explanation:

In similar triangles, ratio of corresponding sides are equal.

So, \(\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}\)

Answer:

C. and D.

Step-by-step explanation:

We can cross of A. because if A. were to be correct, nothing else would be correct.

Now we know it has to be B. or C. and D.

D. has to be one of them since you can't have B. and C.

To find out if it is either B. or C. we need to think into it more. So if we had the mean of 80%, that means we need to have some scores over 75%. That would be C. since it says 75% or greater.

Answer:

The third graph is precise

Step-by-step explanation:

-2 > n ≥ 4

n<-2 or n≥4 compound inequality is represented in the third graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given inequality is n<-2 or n≥4

The third number line represents the inequality  n<-2 or n≥4.

The open circle at -2 indicates that n is not included in the solution set, since the inequality is strict.

The closed circle at 4 indicates that n is included in the solution set, since the inequality is not strict.

Hence, n<-2 or n≥4 compound inequality is represented in the third graph.

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The equation of the parabola is

The equation of the parabola is solved using the equation

y = a(x - r1) (x - r2)

where r1 and r2 are the roots or x-intercept

The roots of the equation is given as -2 and 4.

hence we have that

y = a(x + 2) (x - 4)

Using (-1, -3) we solve for a

-3 = a(-1 + 2) (-1 - 4)

-3 = a(1) (-5)

-3 = -5a

a = 3/5

Plugging this figure back into the original equation,

y = 5/3(x + 2) (x - 4)

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Answer

a. 720

b. 24

c. 1/30

Step-by-step explanation

a. To find in how many ways can they arrive we need to calculate the number of permutations.

The number of permutations of n things chosen r at a time is found using:

In this case, we have n = 6 people, and we have to choose r = 6 of them. The number permutations is:

b. If Maria arrives first and Sarah last, then there are 4 places to select randomly (from 2nd to 5th) and 4 people to be ordered. Therefore, we have n = 4 people, and we have to choose r = 4 of them. The number permutations is:

c. The probability that Maria will arrive first and Sarah last is calculated as follows:

Answer:

about =502.65

Step-by-step explanation:

To decrease the width of the confidence interval, the researcher can take the following steps:

1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.

2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.

Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.

The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.

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Answer:

4) x = 110° & y = 70°

Step-by-step explanation:

Answer:

t = -17/49

Step-by-step explanation:

25t-13=-24t-30

Add 24t to each side

25t+24t-13=-24t+24t-30

49t-13=-30

Add 13 to each side

49t-13+13=-30+13

49t = -17

Divide each side by 49

49t/49 = -17/49

t = -17/49

The right answer is - 17/49

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Number of students need to be sampled = 610

A study to determine the true average number of alcoholic drinks consumed by Greek students is conducted.

Standard Deviation, σ = 6.3

Margin Error of population mean, E = 0.5

Probability = 95% = 0.95

The p-value corresponding to 0.95 probability = (1+0.95)/2 = 0.975

The z-score corresponding to this p-value = 1.96 [from the z-tables]

Now, The margin error, E = zσ/√n, where n is the sample size

⇒ n = (zσ/E)²

⇒ n = (1.96 x 6.3/0.5)²

⇒ n ≈ 610

Hence 610 students need to be sampled.

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Yes line TV is also parallel to line QS according to transverse property

According to the transitive property, all the quantities are equal to each other if two quantities are equal to the third quantity.

When the term equal is replace by parallel it suits the case at hand hence transitive property of parallel lines is introduced

When attempting to demonstrate that several parallel lines have congruent properties, the transitive property of parallel lines can be used to create a link between numerous equal quantities.

Therefore, it can be interpreted as: if line TV || line ZX and line ZX || line QS then line TV || line ZX

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Answer:

do you know your less than and greater than

Answer:

12500000000000

Step-by-step explanation:

Answer:

5

4

x100100000

Step-by-step explanation:

5x108

4

x105

Simplifies to:

5

4

x100100000

=

5

4

x100100000

The global maximum value of the function f(x,y) = (1/4)x - 5y occurs at the critical point (1/4, 0) and the global minimum value occurs at the point (0, -1/5).

In mathematics, to find the global maximum and minimum of a function, we need to first find the critical points.

The critical points are the points where the partial derivatives of the function with respect to the variables are zero or undefined.

In the given function f(x,y) = (1/4)x - 5y, we can find the partial derivatives with respect to x and y as follows:∂f/∂x = (1/4) and ∂f/∂y = -5

We can see that the partial derivatives are never zero or undefined.

So, there are no critical points of the function on the interior of the region defined by the inequality 4x - 5y ≤ 1.

Now, let's consider the boundary of the given region. The boundary consists of two lines: x = 0 and 4x - 5y = 1. We can find the intersection points of these lines with the x and y-axis as follows:

x = 0 → y = 0 and 4x - 5y = 1 → x = 0 and y = -1/5

Now, we can evaluate the function f(x,y) = (1/4)x - 5y at the three points (0, 0), (0, -1/5), and (1/4, 0) to find the global maximum and minimum of the function over the given region.

f(0, 0) = 0

f(0, -1/5) = 1/4 - (-1/5) = 9/20

f(1/4, 0) = (1/4)(1/4) - 5(0) = 1/16

Therefore, the global maximum value of the function f(x,y) = (1/4)x - 5y over the given region is 1/16 which occurs at the critical point (1/4, 0) and the global minimum value of the function is 9/20 which occurs at the point (0, -1/5).

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Answer:

6

Step-by-step explanation:

Priscilla bought cheese that weighs ¾ of a pound. If she divides it into portions that are each 1/8 of a pound, how many portions can she make?

¾÷⅛= 6

answer 6

Answer:

That would be 0.87

Step-by-step explanation:

Is that the answer you wanted...?

Answer:

15/9= 1 6/9

Step-by-step explanation:

8/9+ 7/9 is basically doing 8+9. But remember you need a common denominator to add fractions.

Triangles A and F could lie on a graphed line with a slope of 0.95

Triangles B and E could lie on a graphed line with a slope of

Triangles C and D could lie on a graphed line with a slope of

The slope of the triangles is found using the formula:

The slope of Triangles A and F

Slope = (54 - 13)/(52 - 9)

Slope = 0.95

The slope of Triangles B and E:

Slope = (72 - 15)/(60 - 12)

Slope = 1.19

The slope of Triangles C and D:

Slope = (18 - 16)/(45 - 40)

Slope = 0.4

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