what is the correlation coefficient of the linear fit of the data shown below, to the nearest hundreth

Answer:

Step-by-step explanation:

4k^2 + 8k + 2 - 2k - 3

4k^2 + 6k - 1

answer is B

Answer:

[B] 4k²+ 6k - 1

Explanation:

(4k² + 8k + 2) - (2k + 3)

Remove Parenthesis

4k² + 8k + 2 - 2k + 3

-2k + 3: -2k - 3

= 4k² + 8k + 2 - 2k - 3

Simplify

4k² + 8k + 2 - 2k - 3: 4k²+ 6k - 1

= 4k²+ 6k - 1

- PNW

Answer:

Hope the picture will help you.........................

Answer:

52300

Step-by-step explanation:

When you multiply by ten the decimal dot moves one space to the right, so here you multiply by ten four times, so you move the dot four spaces to the right and you get 52300

The correct statement regarding the minimum value of the quadratic functions is given as follows:

D) The graphed function has a lower minimum value.

From the graph, the minimum value of the quadratic function is given as follows:

y = -8.

The algebraic function is defined as follows:

f(x) = 0.25x² - 2x.

Hence the coefficients are given as follows:

a = 0.25 and b = -2.

The x-coordinate of the vertex is given as follows:

x = -b/2a

x = 2/0.5

x = 4.

Then the y-coordinate of the vertex, representing the minimum value, is given as follows:

f(4) = 0.25(4)² - 2(4)

f(4) = -4 -> meaning that the graphed function has a lower minimum value.

The graph is given by the image presented at the end of the answer.

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(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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The nearest tenth, 44.5 minutes have gοne by.

Time is the οngοing prοgressiοn οf existence and events that take place in what appears tο be an irreversible οrder frοm the past thrοugh the present tο the future. It is οne οf the quantities that make up variοus measurements that are used tο cοmpare the lengths οf events οr the gaps between them, tο cοmpare hοw lοng they last, tο οrder events, and tο measure hοw quickly certain quantities in the physical wοrld οr in cοnsciοus experience change. The fοurth dimensiοn, in additiοn tο the three spatial dimensiοns, is frequently referred tο as time.

If Teresa has finished 57% οf her run, then she has 43% left tο cοmplete.

Let x be the number οf minutes that have gοne by.

Since 57% οf the run is cοmpleted in 78 minutes, we can set up the fοllοwing prοpοrtiοn:

57/100 = x/78

Sοlving fοr x, we get:

x = (57/100) * 78

x = 44.46

Therefοre, tο the nearest tenth, 44.5 minutes have gοne by.

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The fraud triangle is used to model the causes of frauds in an organization or company.

The scenario in her wife's company shows that the fraud leg that applies to Jessica is pressure.

From the question, we understand that:

Financial trouble as used in the question implies that her wife's company are in debts or mismanagement.

This means that Jessica is under pressure to commit fraud in her own company in other to assist her wife's company.

Hence, the leg of the Fraud Triangle best applies to Jessica's situation is pressure

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Answer:

The equation of a right triangle is given by a2 + b2 = c2, where either a or b is the height and base of the triangle and c is the hypotenuse. Using the Pythagorean Theorem, finding the missing side of a triangle is pretty simple and easy. The two special right triangles include: 45°; 45°; 90° Triangle.

a correct answer that guy  ☝ is rude can i get brainliest for answering

Answer:

Two crates, A and B, are connected with a rope of negligible mass over a frictionless pulley as represented in the diagram shown on the left. The crates are at rest.

Crate A has an unknown mass and hangs vertically to the right of the slope and crate B, with mass 14 kg, hangs on the slope to the left. The slope makes and angle of 68° with the horizontal.

The coefficient of static friction between crate B and the surface of the slope is 0.3. The direction of the frictional force is up the slope. Calculate the mass of crate A.

Answer:

2x-5=-x+12

2x-x=12+5

.°. x=17

A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

How to determine the amount of carpet needed for a rectangular room?

To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.

The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),

18 feet ÷ 3 feet/yard = 6 yards

So the dimensions of the room in yards are 10 yards by 6 yards.

To find the total area of the room, we need to multiply the length and width,

10 yards × 6 yards = 60 square yards

Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

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The y-intercept of the function is (0, c)

The coefficients b determine the horizontal shift of the parabola compared to the parent function

If a is negative, the parabola opens downward

The y-intercept of the function is (0, c).

This means that when x = 0, the y-value is equal to c.

The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.

The coefficient b determines the horizontal shift of the parabola compared to the parent function.

The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.

A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.

If a is negative, the parabola opens downward.

The coefficient a determines the shape of the parabola.

If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.

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Answer:

\(\displaystyle \textcolor{black}{4.}\:[-3, -5]\)

\(\displaystyle \textcolor{black}{3.}\:[8, -1]\)

\(\displaystyle \textcolor{black}{2.}\:[4, -7]\)

\(\displaystyle \textcolor{black}{1.}\:[3, -2]\)

Step-by-step explanation:

When using the Elimination method, you eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:

\(\displaystyle \left \{ {{2x - 3y = 9} \atop {-5x - 3y = 30}} \right.\)

{2x - 3y = 9

{⅖[−5x - 3y = 30]

\(\displaystyle \left \{ {{2x - 3y = 9} \atop {-2x - 1\frac{1}{5}y = 12}} \right. \\ \\ \frac{-4\frac{1}{5}y}{-4\frac{1}{5}} = \frac{21}{-4\frac{1}{5}} \\ \\ \boxed{y = -5, x = -3}\)

------------------------------------------------------------------------------------------

\(\displaystyle \left \{ {{x - 2y = 10} \atop {x + 3y = 5}} \right.\)

{x - 2y = 10

{⅔[x + 3y = 5]

\(\displaystyle \left \{ {{x - 2y = 10} \atop {\frac{2}{3}x + 2y = 3\frac{1}{3}}} \right. \\ \\ \frac{1\frac{2}{3}x}{1\frac{2}{3}} = \frac{13\frac{1}{3}}{1\frac{2}{3}} \\ \\ \boxed{x = 8, y = -1}\)

_______________________________________________

\(\displaystyle \left \{ {{y = -3x + 5} \atop {y = -8x + 25}} \right.\)

{y = −3x + 5

{−⅜[y = −8x + 25]

\(\displaystyle \left \{ {{y = -3x + 5} \atop {-\frac{3}{8}y = 3x - 9\frac{3}{8}}} \right. \\ \\ \frac{\frac{5}{8}y}{\frac{5}{8}} = \frac{-4\frac{3}{8}}{\frac{5}{8}} \\ \\ \boxed{y = -7, x = 4}\)

------------------------------------------------------------------------------------------

\(\displaystyle \left \{ {{y = -x + 1} \atop {y = 4x - 14}} \right.\)

{y = −x + 1

{¼[y = 4x - 14]

\(\displaystyle \left \{ {{y = -x + 1} \atop {\frac{1}{4}y = x - 3\frac{1}{2}}} \right. \\ \\ \frac{1\frac{1}{4}y}{1\frac{1}{4}} = \frac{-2\frac{1}{2}}{1\frac{1}{4}} \\ \\ \boxed{y = -2, x = 3}\)

_______________________________________________

I am joyous to assist you at any time.

Answer:

1

Step-by-step explanation:

The price of a pair of gloves is $6.

The first step is to determine the total amount spent on sports equipment.

Amount spent on sports equipment = 25 % x $300

0.25 x $300 = $75

Now, calculate the amount spent on the racket and a pair of ski.

Amount spent on the racket and ski = $30 + $30 = $60

The third step is to determine the amount that is left to purchase the tennis balls and the gloves.

Amount left = $75  $60 = $15

Let the price of gloves be represented with x

Price of balls = 2x - 3

2x -  3 + x = $15

3x = $18

x = 18 / 3

x = $6

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

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Step-by-step explanation:

when the exponent is an even number, the value is -1 and real.

when the exponent is uneven (odd), then the result is i and therefore imaginary.

i¹⁴ real

i⁴³ imaginary

i⁷ imaginary

i¹⁰ real

(4 - 5i)² = 4² - 40i + 25i² = 16 - 40i - 25 = -9 -40i imaginary

(7 + 2i)(7 - 2i) = 49 - 4i² = 49 + 4 = 53 real

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

1+i

Step-by-step explanation:

I do believe i to be the imaginary unit.

Let's write out some partial sums from power=0 to power=7 or whatever we need to see a pattern.

i^0=1

i^0+i^1=1+i

i^0+i^1+i^2=1+i+-1=i

i^0+i^1+i^2+i^3=i+i^3=i+-i=0

i^0+i^1+i^2+i^3+i^4=0+i^4=0+1=1

Hmmm.... we might see 1+i, then i, then 0 again.... let's see.

i^0+i^1+i^2+i^3+i^4+i^5=1+i

Coolness so we should see a pattern

Sum from power=0 to power=multiples of 4 will give us 1.

Sum from power=0 to power=remainder of 1 when final power is divided by 4 gives us 1+i.

Sum from power=0 to power=remainder of 2 when final power is divided by 4 gives us i.

Sum from power=0 to power=remainder of 3 when final power is divided by 4 gives us 1

0.

So 2021 divided by 4....

Since 2020 is a multiple of 4, then 2021 has a remainder of 1 when divided by 4.

So the answer is 1+i.

Answer:

b. The students find a p-value less than 0.05

c. Carrie ends up losing the election.

e. The students make the conclusion that Carrie does not have more than 50% of the vote.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis.

Type I error is one in which we reject a true null hypothesis.

In the given scenario Type I error will be the one where students incorrectly estimates the p value and reject the null hypothesis when it was true. This error will result in losing the elections.

Answer:

Jordan, Its been 5 hours, whats the answer?

Step-by-step explanation:

There can be only 1 triangle formed by the given information.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

Given that, ABC can be formed if C=60∘, c=17√3 and a=34

Using the sine law for triangle,

A/sina = B/sinb = C/sinc

34/sina = 17√3/sin60°

⇒ sina = 90°

Since, The triangle ABC is a right triangle,

Hence, There can be only 1 triangle formed by the given information.

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Answer: 6 tablets.

Given:

• A certain medication is available only in 400 μg tablets.

So, in milligrams :- 0.4 mg

• It is also given that the patient needs to take 2.4 mg per day.

Solution:

So, in order to know how many tablets she should take, please do as following:-

\( \frac{2.4}{0.4} \)

\( = > \: 6\)

Hence, she must take 6 tablets per day.

✍️ By Benjemin ☺️

Answer:

The 1st one and the last one

Step-by-step explanation:

Answer : 31

Explanation : Every numbers have a gap of 6 as you can see:

1 + 6 = 7

7 + 6 = 13

13 + 6 = 19

19 + 6 = 25

So,

25 + 6 = 31

Hope This Helps You!

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

a)  \(t_{0.035},11=\pm2.201\)

b)  \(t=-2.963\)

c)  \(Reject\ H_0\ when\ \alpha=0.05\)

d)   \(t<t_{\alpha/2},d_t\)

   \(-2.963<2.201\)

Step-by-step explanation:

From the question we are told that:

Sample size \(n=12\)

Mean \(\=x=42.5\)

Standard deviation \(\sigma=3.8\)

Population mean \(\mu=45.75\)

Significance \(\alpha=0.05\)

Generally the hypothesis given by

\(H_0;\mu=45.75\\H_1:\neq =45.75\)

Generally the equation for test statistics is mathematically given by

\(t=\frac{\=x-\mu}{\sigma/\sqrt{n} }\)

\(t=\frac{42.5-45.75}{3.8/\sqrt{12} }\)

\(t=-2.963\)

Generally the Critical value is mathematically given by

\(t_{\alpha/2},d_t\)

\(\alpha=0.05 \\\alpha/2=0.025\\d_t=n-1=11\)

\(t_{0.035},11\)

From table

\(t_{0.035},11=\pm2.201\)

Therefore

\(t<t_{\alpha/2},d_t\)

\(-2.963<2.201\)

\(Reject\ H_0\ when\ \alpha=0.05\)

Answer:

121 square feet

Step-by-step explanation:

The area of a triangle is the height multiplied by the base divided by 2. Since this is a right triangle, you can simply use the two legs for this. The area of this triangle is therefore:

\(\dfrac{24.2\cdot 10}{2}=\dfrac{242}{2}=121\)

Hope this helps!

Answer:

Area: 121 feet²

Step-by-step explanation:

The formula for the area of any triangle is \(\frac{1}{2} *b*h\)

This triangle's base is 10 feet

This triangle's height is 24.2 feet

\(\frac{1}{2} *10*24.2=\\5*24.2=\\121\)

The area of the triangle is 121 square feet or 121 ft²