Ratios Equivalent to 15:6 (not 6:15)
Pls tell me what ratios they are

Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.

Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.

the complete question is :

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

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The dimensions of the cliff found using trigonometric ratios and Pythagoras Theorem are;

The height of the sorter cliff found using trig ratios is about 158.97 feet

The height of the taller cliff is about 218.46 feet

The difference in heights of the cliff is about 59.49 feet

The length of the bridge is about 317.62 feet

Pythagoras Theorem states that in a right triangle, the square of the length of the longest side is equal to the sum of the square of the lengths of each of the other two sides.

The ratio of the the height of the shorter cliff to the distance between the base of the two cliffs is tan(27°).

Therefore;

tan(27) = AB/312

The height of the shorter cliff, AB = 312 × tan(27°) ≈ 158.97

The height of the shorter cliff is about 158.97 feet

The ratio of the height of the taller cliff, CD, to the distance between the two cliffs is tan(35°)

Therefore, tan(35°) = CD/312

CD = 312 × tan(35°) ≈ 218.46

The height of the taller cliff is about 218.46 feet

The difference between the height of the two cliffs, d ≈ 218.46 - 158.97 ≈ 59.49

The length of the bridge, x, is the hypotenuse side of the right triangle ΔBB'C, formed by the difference in height between the two cliffs, CD - AB, the horizontal distance between the cliffs, AD, and the bridge, therefore, according to Pythagorean Theorem, we get;

x² = (CD - AB)² + (AD)²

x = √((CD - AB)² + (AD)²)

Plugging in the known values, we get;

x = √(59.49² + 312²) ≈ 317.62

The length of the bridge can also be found using the law of cosines as follows;

∠ACD = 90° - 35° = 55°

tan(∠ACD) = AD/AC

Therefore;

tan(55°) = 312/AC

AC = 312/(sin(55°))

∠BAC = 90° - 35° = 55°

The length of the bridge, x, can be found using the law of cosines as follows;

x² = (AB)² + (AC)² - 2 × (AB) × (AC) × cos(∠BAC)

Therefore;

x² = (312×tan(27°))² + (312/(sin(55°))² - 2 × (312×tan(27°)) × (312/(sin(55°)) × cos(55°)

Therefore;

x = √((312×tan(27°)² + (312/(sin(55°))² - 2 × (312×tan(27°)) × (312/(sin(55°)) × cos(55°)) ≈ 317.62

The length of the bridge, x ≈ 317.62 feet

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The value of the expression 17[cos(315°) + isin(315°)] will be (17√2 / 2) – (17√2 / 2)i. Then the correct option is A.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The rectangular form of 17(cos(315°) + isin(315°)).

We know that the value of cos 315° and sin 315°.

\(\sin 315^o = \dfrac{-1}{\sqrt2}\\\cos 315^o = \dfrac{1}{\sqrt2}\)

Then the value of the expression will be

⇒ 17[(1/√2) – (1/√2)i]

⇒ (17√2 / 2) – (17√2 / 2)i

Then the correct option is A.

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Answer:

A

Step-by-step explanation:

The correct expansion of (3x – 2)(2\(x^2\) + 5) is 3x • 2\(x^2\) + 3x • 5 + (–2) • 2\(x^2\) + (–2) • 5. Thus, option A is the right answer to the given question.

To expand an expression of multiplication of two variables to two variables is done as follows:

1. We take the first term of the first expression which in this case is 3x

2. We multiply it by the first term of the second expression. In this case, we get 3x • 2\(x^2\).

3. Subsequently we multiply the first term with further terms and add them. In the given case, the expression we get is 3x • 2\(x^2\) + 3x • 5

4. Then we take the second term of the first expression and repeat the above steps and add it to the existing equation.

We get x • 2\(x^2\) + 3x • 5 + (–2) • 2\(x^2\) + (–2) • 5 as the answer.

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The point estimate of the proportion p is 0.71.  To find the point estimate of the proportion p, we divide the number of successful outcomes (letters delivered the day after they were mailed) by the total number of outcomes (total sample size).

In this case, y represents the number of successful outcomes (142 letters delivered the day after they were mailed) and n represents the total sample size (200 letters). Therefore, the point estimate of p is given by:

Point estimate of p = y / n

Substituting the values, we have:

Point estimate of p = 142 / 200

Simplifying the expression, we get:

Point estimate of p = 0.71

Therefore, the point estimate of the proportion p is 0.71.

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A) Graph is shown in image.,

B) T(25) = 19 - 5ln(53 - 25)

C) The age of a haddock that is 25 centimeters long is, 13.38 years

D) the length of a haddock that is 12 years old is,

L = 53 -   \(e^{(19 - T)/5}\)

A) To draw a graph of age versus length, we can plot points by substituting various values of L between 25 and 50 cm into the equation T = 19 - 5ln(53 - L) and then plotting the resulting values of T.

B) To express the age of a haddock that is 25 centimeters long using functional notation,

Hence, we simply substitute L = 25 into the equation T = 19 - 5ln(53 - L):

T(25) = 19 - 5ln(53 - 25)

C) To calculate the age of a haddock that is 25 centimeters long, we can substitute L = 25 into the equation T = 19 - 5ln(53 - L) and solve:

T(25) = 19 - 5ln(53 - 25)

= 19 - 5ln(28)

≈ 13.38 years

Therefore, the age of a haddock that is 25 centimeters long is , 13.38 years.

D) To find the length of a haddock that is 12 years old, we can rearrange the equation T = 19 - 5ln(53 - L) to solve for L in terms of T:

T = 19 - 5ln(53 - L)

5ln(53 - L) = 19 - T

ln(53 - L) = (19 - T)/5

53 - L = \(e^{(19 - T)/5}\)

L = 53 -   \(e^{(19 - T)/5}\)

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Answer:

PR = 10

Step-by-step explanation:

PR = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for P and R are (0,4) and (-6,-4) respectively.

So you plug in the values:

PR = \(\sqrt{(-6-0)^2+(-4-4)^2}\)

PR = \(\sqrt{(-6)^2+(-8)^2}\)

PR = \(\sqrt{36+64}\)

PR = \(\sqrt{100}\)

PR = 10

Answer:

Rate of sales tax = 6% of $60

Sales tax = \(\frac{6}{100}\) × 60

               = $3.60

Answer:

Step-by-step explanation

Substitute 2y-1 for x in the second equation:

7x + 5y = -66

7(2y-4) + 5y = -66

then solve for y:

14y - 28 + 5y = -66

19y = -38

y = -2

Substitute -2 for y in the first equation:

x  = 2y - 4

x = 2(-2) - 4

x = -8

The lines intersect at (-8,-2)

Answer:

.52 x 10^7

Step-by-step explanation:

Hey there!☺

\(Answer:\boxed{5.2\times10^{-3}}\)

\(Explanation:\)

\(0.0052\) in scientific notation would be written like this:

\(5.2\times10^{-3}\)

Hope this helps!☺

Enchanted Rock State Natural Area is located at latitude 30.506130 and longitude -98.820064. The geographic coordinates of Enchanted Rock State Natural Area in Fredericksburg, United States, are 30° 30' 22.068" N and 98° 49' 12.2304" W. Enchanted Rock State Natural Area falls under the Mysterious Sites category.

The standard datum used by default for GPS devices used for commercial and recreational purposes is WGS84. GPS users are advised to always verify the datum of the maps they are utilising.

WGS 84, also known as the datum, is now in use by US forces.

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The pressure at sea level is considered to be 101.325 kPa, and as altitude increases, the pressure decreases accordingly.

At sea level, the pressure is referred to as standard atmospheric pressure. The value commonly used for standard atmospheric pressure is 101.325 kilopascals (kPa) or 1 atmosphere (atm).

This value is derived from the average pressure observed at sea level under standard atmospheric conditions.

As altitude increases, the pressure decreases due to the decrease in the density of air molecules in the atmosphere. This decrease in pressure with altitude is primarily caused by the decreasing weight of the air column above.

For every 8.5 kilometers of altitude gain, the pressure approximately halves.

The relationship between altitude and pressure can be described by the barometric formula, which is based on the ideal gas law and takes into account factors such as temperature variations.

However, for simplicity, the common approximation is to consider a linear relationship where the pressure decreases by about 1 kPa for every 10-meter increase in altitude.

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9514 1404 393

Answer:

  35%

Step-by-step explanation:

Of those 28+52 = 80 who would recommend their game, 28 tested game A. The probability is ...

  28/80 = 0.35 = 35%

The probability that a recommending customer tested game A is 35%.

Answer:

D) 24

explanation:

Sana makatulong

The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

We have to find the area of the region enclosed by one loop of the curve.

The given curve is:

r = sin(10θ)

Consider the region r = sin(10θ)

The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is

A = \(\int^{b}_{a}\frac{1}{2}r^2d\theta\)

Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.

sin(10θ) = 0

sin(10θ) = sin0   or    sin(10θ) = sinπ

So θ = 0             or      θ = π/10

Hence, the limit of θ is 0 ≤ θ ≤ π/10.

Now the area of the required region is

A = \(\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta\)

A = \(\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta\)

A = \(\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right]\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right]\)

A = 1/4[(π/10-0)-(0-0)]

A = 1/4(π/10)

A = π/40

Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

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Answer:

Height of cylinder = 12 cm

Step-by-step explanation:

Given:

Radius of cylinder = 6 cm

Curved surface area of cylinder = [2/3][Total surface area of cylinder]

Find:

Height of cylinder

Computation:

Curved surface area of cylinder = [2/3][Total surface area of cylinder]

2πrh = [2/3][2πr(h + r)]

h = 2h/3 +[2/3][6]

h - 2h/3 = 4

[3h - 2h] / 3 = 4

h = 12

Height of cylinder = 12 cm

Answer:

X< 7/8

Step-by-step explanation:

X< 2/7×4

X< 2×4/7

X< 7/8

Answer:

\(\boxed{\sf{x < -\dfrac{20}{7} }}\)

Step-by-step explanation:

To solve this problem, all you have to do is isolate it on one side of the equation.

x/4+<2/7

First, multiply by 4 from both sides.

x/4*4+4<2/7*4

Solve.

2*4=8

Rewrite the problem down.

x+4<8/7

Then, you subtract by 4 from both sides.

x+4-4<8/7-4

Solve.

x<-20/7

Therefore, the correct answer is x<-20/7.

I hope this helps you! Let me know if my answer is wrong or not.

The statement "Choosing a smoothie containing apple and choosing a smoothie containing blueberry are not mutually exclusive events." can be inferred from the calculation.

Firstly, we identify the total number of each type of smoothies available. We have 12 apple smoothies, 7 blueberry, 8 other, and 3 smoothies that are common to both apple and blueberry. This brings our total smoothies to 30.

a) To find the probability that a smoothie contains either apple or blueberry, we need to consider the apple smoothies and smoothies that are common to both apple and blueberry then blueberry smoothies and smoothies that are common to both apple and blueberry. So, we add up the numbers of these smoothies and divide by the total number of smoothies.

P(contains apple) = (12 apple + 3 common) / 30 total = 15 / 30 which equals 0.5

P(contains blueberry) = (7 blueberries + 3 common) / 30 total = 10 / 30 which equals 0.33

Then, we find P(contains apple) + P(contains blueberry) = 0.5 + 0.33 which equals 0.83.

b) To find the probability that a smoothie contains apple or blueberry, we add up the number of apple smoothies, blueberry smoothies and smoothies common to both, then divide by the total number of smoothies.

P(contains apple or blueberry) = (12 apple + 7 blueberries + 3 common) / 30 total = 22/30 which equals 0.73.

c) The events of choosing a smoothie containing apple and choosing a smoothie containing blueberry are mutually exclusive if P(contains apple) + P(contains blueberry) is equal to P(contains apple or blueberry). As 0.83 is not equal to 0.73, these are not mutually exclusive events.

Therefore, the statement "Choosing a smoothie containing apple and choosing a smoothie containing blueberry are not mutually exclusive events." can be inferred from the calculation.

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The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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Answer:

4/10

Step-by-step explanation:

Since the denominators are the same, add the numerators (3 + 1)

and you are smart

Answer: $79.43

Step-by-step explanation:

$30 + ($18.25 x 3 h) = $84.75

$164.18 - $84.75 = $79.43

Step-by-step explanation:

To find the percent change in price of the four new tires, we can use the formula:

percent change = (new value - old value) / old value * 100%

Here, the old value is $638 and the new value is $523.

percent change = ($523 - $638) / $638 * 100%

percent change = -$115 / $638 * 100%

percent change = -0.18 * 100%

percent change = -18%

The result is a decrease of 18%, so the answer is A. 18% decrease.

Okay, let's solve this step-by-step:

Original price of 4 tires: $638

New price of 4 tires: $523

To calculate the percent change, we use the formula:

Percent Change = (New Price - Original Price) / Original Price

So in this case:

Percent Change = ($523 - $638) / $638 = -$115 / $638 = -0.18 = 18%

Since the new price is less than the original price, this is a decrease.

Therefore, the answer is A: 18% decrease

So the answer is A: 18% decrease

Answer:

n=3.478

Step-by-step explanation:

n+0=n

n=3.478

Answer:

n = 3.478

Step-by-step explanation:

To create a square with 50px sides, we need to draw four lines that are each 50px long and perpendicular to one another.

A square is a quadrilateral (a four-sided shape) with four equal sides and four equal angles of 90 degrees each. To create a square with 50px sides, we need to follow a few steps.

Step 1: Draw a line that is 50px long using a ruler or any other measuring tool.

Step 2: At the end of the line, draw a second line that is also 50px long and perpendicular to the first line. This will form the first side of the square.

Step 3: From the end of the second line, draw a third line that is also 50px long and perpendicular to the second line. This will form the second side of the square.

Step 4: Finally, draw a fourth line that is 50px long and perpendicular to the third line, connecting back to the starting point of the first line. This will form the remaining two sides of the square.

By following these steps, you have successfully created a square with 50px sides.

In summary, a square is a four-sided shape with four equal sides and angles of 90 degrees each. The resulting shape will be a square with 50px sides.

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Answer:

f = v + at

at = f - v

a = (f - v) / t

Step-by-step explanation:

Answer: 26.6 repeating number or 26 2/3

Step-by-step explanation:

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Answer:  D) 339 sq. units

Step-by-step explanation:

see attachment

Answer:

1.09×10^2

Step-by-step explanation:

................

The presented statement states that a square pyramid has a surface area of 340 cm².

For instance, we may calculate the area of a rectangle by multiplying its length by its width. The area of the rectangle seen above is 24 or 8. There are eight little squares in all if you count them.

The following formula may be used to determine a square pyramid's surface area:

(Base Area) + Surface Area (Area of 4 triangular faces)

The base area of the pyramid would have been 10 cm x 10 cm, or 100 cm2, as the pyramid's base is a squares with a diameter of ten centimeters.

Each triangle face's area may be calculated using the formula for

Area = (1/2)bh

where b denotes the bottom and h the top.

The area of each triangle face will be (1/2) x 10 cm x 12 cm = 60 cm², given that the pyramid's height is 12 cm.

As a result, the pyramid's total surface area would be as follows: 100 cm² + (4 x 60 cm²) = 100 cm² + 240 cm² = 340 cm².

So, the correct response is B) 340 cm².

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