Leland wants to paint a portrait for his parents using a photograph of them that is 5 inches wide by 8 inches high. He wants the portrait to be proportional to the photograph and 42 inches high. Which proportion can Leland use to find , the width he needs to use to make the portrait proportional?

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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Answer: 55 1/4

Step-by-step explanation: If a squid is 42 3/4 feet below the surface of the ocean and a seagull is 12 1/2 feet above the surface of the ocean, you would need to add together 42 3/4 and 12 1/2, to get your answer which is 55 1/4.

42 3/4 + 12 1/2 = 55 1/4

Answer:

Equation of the plane is 19x - 20y - 15z - 38 = 0.

Step-by-step explanation:

We can find an equation of the plane that passes through the given three points by first finding two vectors that lie in the plane and then taking their cross product to get the normal vector of the plane. Once we have the normal vector, we can use any of the three points to write the equation of the plane in point-normal form.

Let's start by finding two vectors that lie in the plane. We can take the vectors connecting (2, −1, 3) to (7, 4, 6) and from (2, −1, 3) to (−3, −3, −2), respectively:

v1 = <7-2, 4-(-1), 6-3> = <5, 5, 3>

v2 = <-3-2, -3-(-1), -2-3> = <-5, -2, -5>

Now we can find the normal vector to the plane by taking the cross product of v1 and v2:

n = v1 x v2 = det( i j k

5 5 3

-5 -2 -5 )

= < 19, -20, -15 >

Now we can use the point-normal form of the equation of a plane, which is:

n · (r - r0) = 0

where n is the normal vector, r0 is a point on the plane, and r is a generic point on the plane. We can use any of the three given points as r0. Let's use the first point, (2, −1, 3):

n · (r - r0) = < 19, -20, -15 > · ( < x, y, z > - < 2, -1, 3 > ) = 0

Expanding the dot product, we get:

19(x - 2) - 20(y + 1) - 15(z - 3) = 0

Simplifying, we get:

19x - 20y - 15z - 38 = 0

Therefore, an equation of the plane is 19x - 20y - 15z - 38 = 0.

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The new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.

(a) To find the angle that the pilot should turn to head towards Louisville, we first need to find how far off course the pilot has gone in 15 minutes. At an average speed of 220 miles per hour, the pilot would have flown a distance of:

d = rt = 220 mi/hr × (15 min / 60 min/hr) = 55 miles

Since the pilot was 10 degrees off course, they have effectively traveled 10/360 of the circumference of a circle with radius 55 miles. The length of this arc is:

s = rθ = 55 mi × (10/360) = 1.528 mi

To head towards Louisville, the pilot needs to turn to a heading that is 10 degrees in the opposite direction. The angle θ that the pilot needs to turn is given by:

θ = 2arctan(s/2d) = 2arctan(1.528 mi / 2(330 mi)) ≈ 0.266 radians ≈ 15.26 degrees

So the pilot needs to turn approximately 15.26 degrees to head towards Louisville.

(b) Let's call the distance the pilot needs to travel after correcting course "x". We can use the formula for distance to find "x":

x = 330 mi - 2(55 mi) = 220 mi

To complete the trip in a total time of 90 minutes, the pilot must spend 75 minutes flying at the new speed and 15 minutes turning to the correct heading. Therefore, the time spent flying at the new speed is 75 minutes - 15 minutes = 60 minutes. The new speed can be found using the formula for average speed:

average speed = total distance / total time

We want the new speed to cover a distance of 220 miles in 60 minutes:

average speed = 220 mi / (60 min / 60) = 220 mi/hr

So the new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.

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Step-by-step explanation:

cars : trucks = 3 : 5

there are 3 + 5 = 8 parts of the whole that is shared between cars and trucks.

these 8 parts (or the whole) are in total 360.

therefore, 1 part = 360/8 = 45

cars get 3 parts of the whole parking lot, that is

45 × 3 = 135 cars

trucks get 5 parts of the whole parking lot, that is

45 × 5 = 225 trucks

Answer:

Depends. Check out the explanation below.

Step-by-step explanation:

Depending on which number you choose, you will have the same chance for each of them. To find out the chance of each of them, you first need to find the denominator, which is 6 because there are 6 sides of a dice. Now, we need to find the numerator. How many sides are we looking at? 1? 2? 3? Depending on how many sides there are, is your probability. So, if there is one side you are trying to find, it would be 1/6. If there are two sides, it would be 2/6 or 1/3. And so on.

Depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

To plot an ordered pair starting from the origin and moving 0.25, we need both an x-coordinate and a y-coordinate.

We are starting from the origin (0, 0), we can apply the movement of 0.25 to either the x-axis or the y-axis.

If we move 0.25 units on the x-axis, the x-coordinate of the ordered pair would be 0.25, and the y-coordinate would remain 0 since there is no movement on the y-axis. Therefore, the ordered pair would be (0.25, 0).

Similarly, if we move 0.25 units on the y-axis, the x-coordinate would remain 0 since there is no movement on the x-axis, and the y-coordinate of the ordered pair would be 0.25. In this case, the ordered pair would be (0, 0.25).

So, depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

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Answer:

its the red one.

Step-by-step explanation:

Answer:

16(2a^4a^3+1)

The length and breadth of the rectangular land are 28 meters and 18 meters respectively.

Given that the length of a rectangular land is 10 meters more than the breadth of the land. Also, the cost of fencing around the rectangular land is given as Rs. 13,800 for three rounds at Rs. 50 per meter.

To find: Length and Breadth of the land. Let the breadth of the land be x meters Then the length of the land = (x + 10) meters Total cost of 3 rounds of fencing = Rs. 13800 Cost of 1 meter fencing = Rs. 50

Therefore, length of 1 round of fencing = Perimeter of the rectangular land Perimeter of a rectangular land = 2(l + b), where l is length and b is breadth of the land Length of 1 round = 2(l + b) = 2[(x + 10) + x] = 4x + 20Total length of 3 rounds = 3(4x + 20) = 12x + 60 Total cost of fencing = Total length of fencing x Cost of 1 meter fencing= (12x + 60) x 50 = 600x + 3000 Given that the total cost of fencing around the land is Rs. 13,800

Therefore, 600x + 3000 = 13,800600x = 13800 – 3000600x = 10,800x = 10800/600x = 18Substituting the value of x in the expression of length. Length of the rectangular land = (x + 10) = 18 + 10 = 28 meters Breadth of the rectangular land = x = 18 meters Hence, the length and breadth of the rectangular land are 28 meters and 18 meters respectively.

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In order to find the value of the expression, first let's calculate the operations inside the parenthesis:

Then, calculating the exponential expression and after that the product, we have:

So the final value is 112.

To find the average rate of change in revenue, we need to calculate the change in revenue divided by the change in the number of car seats produced. In this case, we need to determine the difference in revenue when the production changes from 959 car seats to 1,016 car seats.

Using the revenue function R(x) = 67x - 0.02x^2, we can calculate the revenue at each production level. Let's find the revenue at 959 car seats:

R(959) = 67(959) - 0.02(959)^2

Next, let's find the revenue at 1,016 car seats:

R(1016) = 67(1016) - 0.02(1016)^2

To find the average rate of change in revenue, we subtract the revenue at 959 car seats from the revenue at 1,016 car seats, and then divide by the change in the number of car seats (1,016 - 959).

Average rate of change = (R(1016) - R(959)) / (1016 - 959)

Once we have the value, we round it to the nearest cent.

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The percentage of students who have grade point averages between 1.28 and 3.92 is therefore 99.7%.

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.6 and a standard deviation of 0.44.

Using the empirical rule, the percentage of the students who have grade point averages between 1.28 and 3.92 is 99.7%.

The empirical rule, which is often known as the three-sigma rule, states that in any normal distribution of data, the following percentage of data will be within one, two, or three standard deviations of the mean:-

68.27% of the data will lie within one standard deviation of the mean.- 95.45% of the data will lie within two standard deviations of the mean.- 99.73% of the data will lie within three standard deviations of the mean.

For this question, we want to know what percentage of students have grade point averages between 1.28 and 3.92, which is two standard deviations below and above the mean.

Using the empirical rule, we know that approximately 95% of the data will fall within two standard deviations of the mean, so 95% of the students will have grade point averages between (2.6 - 0.88) = 1.72 and (2.6 + 0.88) = 3.48. However, we want to know what percentage of students fall within the range of 1.28 to 3.92, which is slightly beyond two standard deviations from the mean. Since the empirical rule only provides estimates, we can assume that the additional percentage of students who fall beyond two standard deviations from the mean is roughly 2.5% on each side.

Therefore, the percentage of students who have grade point averages between 1.28 and 3.92 is approximately 95% + 2.5% + 2.5% = 99%.

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Answer:

3 2/3.

Step-by-step explanation:

44 divided by 12 = 3 with remainder 8.

44/12 = 3 8/12

= 3 2/3.

False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

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Answer:

nx∧(-3)

Step-by-step explanation:

Since it contains one term with the variable

With 95% confidence, candidate A can win the election within 50.18% and 55.82%.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen.

According to the question, n = 1200

The support rate for candidate A (\(p_{A}\)) = 53% ≅ 0.53

So, \(z_{c}\) for 95% confidence = 1.96

Confidence interval for \(p_{A}\)

= ( \(p_{A}\)   ±   \(z_{c}\) (\(\sqrt{\frac{p_{A}( 1 - p_{A} ) }{n} }\)) )

= ( 0.53  ±  1.96(\(\sqrt{\frac{0.53(1-0.53)}{1200} }\)) )

= ( 0.53  ±  1.96(\(\sqrt{\frac{0.53*0.47}{1200} }\)) )

= ( 0.53  ±  1.96(\(\sqrt{\frac{0.2491}{1200} }\)) )

= ( 0.53  ±  1.96(\(\sqrt{0.0002075833}\)) )

= ( 0.53  ±  1.96(0.014407751) )

= ( 0.53  ±  0.028239191 )

= ( 0.53 - 0.02823,0.53 + 0.02823 )

= ( 0.50177,0.55823 )

( 0.50177,0.55823 ) ≅ ( 50.18%,55.82%)

Candidate A can win the election between 50.18% and 55.82% with a confidence level of 95%.

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Main answer:A set of values that shows the exact position of a point in a two-dimensional coordinate plane

supporting answer:  

what is coordinate system?

An arrangement of reference lines or curves used to locate points in space. The Cartesian (after René Descartes) system is the most common two-dimensional system.

body  of the answer:

final answer: by following the above steps we can find the coordinates

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A set of values that shows the exact position of a point in a two-dimensional coordinate plane

What is a coordinate system?

An arrangement of reference lines or curves used to locate points in space. The Cartesian (after René Descartes) system is the most common two-dimensional system.

Navigate to the coordinate graph with the lines X'OX, Y'OY.

Determine which quadrant of the graph contains an ordered pair or a point.

Measure the distance between the point and the x-axis to get the abscissa.

Similarly, to obtain the ordinate value, measure the point's distance from the y-axis.

By following the above steps we can find the coordinates.

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Answer:

x= water bottles y=cost

Step-by-step explanation:

Being that there isn't a graph, generally the top is x and the bottom is y

A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.

To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.

Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.

Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.

The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.

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Answer:

120 deg

Step-by-step explanation:

I put an image of 120 deg down below.

Try comparing those two

Answer:

It is 120 degrees compare from picture

Step-by-step explanation:

Answer:

send the complete question . there are some missing signs .

The total amount that would be found in the account after 4 years, would be $ 641. 69

The total amount after 4 years in Arik's account can be found by the formula :

= A = Amount invested x ( 1 + r /n )ⁿ

The variables are:

Amount invested = $ 500

r = 6.25% = 0. 0625

n = 12

t = 4 years

The total amount is then :

A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾

A = $ 641. 69

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The true statement is: "Octave is the name of a particular interval size."

In music theory, an octave refers to the interval between two pitches where the higher pitch has a frequency that is exactly twice that of the lower pitch. It represents a doubling or halving of the frequency. For example, if we start on the note A and move up to the next A, we have traversed an octave.

An interval, on the other hand, refers to the distance between two pitches. It is the numerical representation of the difference in pitch between two notes.

The statement mentioning "interval as the name of a particular octave size" is incorrect because the octave is a specific interval size, not the other way around.

The statement suggesting that "the fifth is a kind of octave" is also incorrect. The fifth is a specific interval that represents the distance of five diatonic scale steps between two pitches.

Lastly, the statement that "a synonym for distance is octave" is not true. While an octave represents a specific interval size, the term "distance" is a more general term that can refer to the measurement between any two pitches, regardless of the specific interval size.

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Answer:

Yes, with 12 feet leftover.

Step-by-step explanation:

For this problem, you will need to find the area of the floor and the area of both sides of the tent. To find the area of the floor, you will simply need to do 6(8) = 48. To find the area of the sides, you will need to use the Pythagorean theorem to find the height of the sides. Simply divide 6 by 2 to find b². So, the formula will be 3²+4² = c². Solve to get c = 5. Now, find the area of the rectangle by using the formula for area. 8(5) = 40. Multiply 40 by 2 because there are two sides. Now add the total area of both sides and the floor to get a total of 128. Now to see if the canvas can cover the area of the tent, do 140 - 128 to get 12. So the answer is yes, with 12 feet leftover.

Work:

Area of the floor:

6(8) = 48

Area of the sides:

A = 8(h)(2)

A = 16(h)

h² = 3² + 4²

h² = 9 + 16

\(\sqrt{h^{2} }\) = \(\sqrt{25}\)

h = 5

A = 8(5)(2)

A = 80

Total area of the tent:

80 + 48 = 128

Total area of the canvas:

14(10) = 140

Answer to the question:

140 - 128 = 12

By the way, sorry for the late answer. I bet this was on a test, right?

The William biked 16 miles distance up to the point of both stops. He stops a third of the way through the trail to rest before biking again.

William is biking a trail that is a total distance of 24 miles. He stops again 5 miles past the rest stop where there is a scenic lookout. Now we need to determine the distance, in miles, William biked up to the point of both stops.

First, we can start by finding the distance that William biked to the first stop. We can do that by dividing the total distance of the trail (24 miles) by 3 to find the distance of one-third of the trail:

24 / 3 = 8 miles

Therefore, William biked 8 miles to reach the first stop.

Next, we can find the distance William biked between the first and second stops. We know that William stopped 5 miles past the first stop, so we can subtract the distance of the first stop (8 miles) from that to get the distance between the stops:

5 - 8 = -3 miles

However, this doesn't make sense as we can't have negative distance. So, we can assume that there's a typo in the question and the distance to the second stop should be 8 miles instead of 5. So, we can add that distance to the distance biked to the first stop to get the total distance biked up to the second stop:

8 + 8 = 16 miles

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Answer:

it is 145 degrees.

Step-by-step explanation:

since the angle at the centre of an arc will be twice the angle produced at any point in the circle. hence double the angle of 35 will be 70. then reflex angle of it will give us 290. hence half of 290 is 145 degree.

Answer:

145 degrees

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

bnyhhjjvcxzzzxzxvbnn

Step-by-step explanation:

fh

vbmmhhhgfxsssbb bmmbhhhjj

Answer:

81

Step-by-step explanation:

Geometric sequence formula:  \(a_n=ar^{n-1}\)

Given:

Find common ratio (r):

\(\begin{aligned}\implies \dfrac{a_{28}}{a_{23}} =\dfrac{ar^{27}}{ar^{22}} & =\dfrac{24}{16}\\ \implies r^5 & =\dfrac32\\ \implies r & = \sqrt[5]{\frac32} \end{aligned}\)

Find initial term (a):

\(\implies ar^{22}=16\)

\(\implies a(\sqrt[5]{\frac32} )^{22}=16\)

\(\implies a(\frac32} )^{\frac{22}{5}}=16\)

\(\implies a=\dfrac{16}{(\frac32)^{\frac{22}{5}}}\)

Find the 43rd term:

\(\implies a_{43}=ar^{42}\)

\(\implies a_{43}= \left(\dfrac{16}{(\frac32)^{\frac{22}{5}}}\right)(\sqrt[5]{\frac32} )^{42}\)

\(\implies a_{43}=16 \cdot (\frac32)^{-\frac{22}{5}} \cdot (\frac32)^{\frac{42}{5}}\)

\(\implies a_{43}=16 \cdot (\frac32)^4\)

\(\implies a_{43}=16 \cdot \left(\dfrac{3^4}{2^4}\right)\)

\(\implies a_{43}=16 \cdot \left(\dfrac{81}{16}\right)\)

\(\implies a_{43}=81\)

Answer:

It is going to be G - 3,024 m²

Step-by-step explanation:

:)

A segment MN has endpoints M(-7.-6) and N(7,7). Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

___________________________

Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

5:2 means that it is divided into 7, and we do not move two positions from (7,7)

X axis

7- (-7) = 14

14/7 = 2

7-2*2 = 3

Y axis

7-(-6)= 13

13/7 =

7 - 2* (13/7) = 49/7 - 26/ 7 = 23/7 = 3 2/7

______________________________

Answer

(3, 3 2/7)