Which scatter plot does NOT suggest a linear relationship between x and y?

The correct answer is 26.5ft

The distance between the stick and Lisa is C) 45.6 ft.

The sine rule for triangle ABC is a/sinA = b/sinB = c/sinC.

Given, Lisa and Molly are standing on a bridge and see a tree sticking out of the water.

m∠M = 103°, m∠L = 54°, and the side opposite to ∠L is l which is 22 feet and m is the side opposite to ∠M.

∴ 22/sin54° = m/sin103°.

22/0.8 = m/0.97.

m = 26.67 feet.

learn more about the sine rule of triangles here :

https://brainly.com/question/26952873

#SPJ5

Answer:

Answers bellow

Step-by-step explanation:

FIGURE A

Decreasing by 1/4 =25%

Figure B

Increase by 1/5 = 20 %

Page 2

b The amount of sunny days this year is 75% of the amount of sunny days last year

c The amount of houses sold this month is 150 % amount of houses sold last month

d The runner's time to complete this marathon was 110% he needed to complete the last marathon(not sure about that one )( it's either 90 % or 110)

Answer:

Step-by-step explanation:

if the number is x

2x - 7 greater than 19

= 2x greater than 26

The standard deviation of the rate of return on this investment is approximately 0.55. This means the investment’s annual return is expected to deviate from the mean by an average of 0.55.


To calculate the standard deviation, we need to determine the possible returns and their probabilities. Let’s assume an initial investment of $100. With a 0.62 chance of doubling the investment, we have a 0.62 probability of getting a return of $200 (doubling the initial investment) and a 0.38 probability of halving the investment to $50.
Now we calculate the expected return (mean): (0.62 * $200) + (0.38 * $50) = $124 + $19 = $143.
Next, we calculate the variance:
[(($200 - $143)^2 * 0.62) + (($50 - $143)^2 * 0.38)] = ($57^2 * 0.62) + ($93^2 * 0.38) = $2032.86 + $3370.42 = $5403.28.
Finally, we take the square root of the variance to obtain the standard deviation: √$5403.28 ≈ $73.54.
Since we are interested in the rate of return, we divide the standard deviation by the initial investment of $100, yielding a standard deviation of approximately 0.7354 or 0.55 when rounded to two decimal places.

Learn more about Standard deviation here: brainly.com/question/13498201
#SPJ11

Answer: 16x + 8

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

1 + 2 x (8(3 - 2)) + 7

1 + 2 x (24 - 16) + 7

1 + 2 x (8) + 7

1 + 16 + 7

17 + 7

24

Answer:

17.0

Step-by-step explanation:

If you take the sin(39) or cos(51), it is equal to BC/27. Multiply by 27 on both sides to get 27cos(51) or 27sin(39)= x. Plug into the calculator, and voila.

The figure shows three types of unconformities: an angular unconformity (A - A) with tilted and eroded layers, a non-conformity (B- B) between uplifted and underlying rocks, and a paraconformity (C - C ) with a smooth transition between sedimentary layers indicating a potential time gap.

Based on the information provided, the figure shows three different unconformities

(A - A) represents an angular unconformity:

This occurs when horizontally layered rocks (A) are tilted or folded, eroded, and then overlain by younger, undeformed rocks (A). The angular discordance between the older and younger layers indicates a significant period of deformation and erosion.

(B- B) represents a non-conformity:

A non-conformity occurs when igneous or metamorphic rocks (B) are uplifted and eroded, exposing the underlying, usually sedimentary, rocks (B). The boundary between the two types of rocks represents a significant time gap and a change in the geological history of the area.

(C - C) represents a paraconformity:

A paraconformity is a type of unconformity where there is a relatively smooth transition between parallel layers of sedimentary rocks (C - C). Unlike angular unconformities and non-conformities, paraconformities do not show significant tilting, folding, or erosion. The time gap between the two layers may still exist, but it is often difficult to distinguish due to the lack of obvious discontinuities.

In summary, an angular unconformity (A - A) shows significant tilting and erosion, a non-conformity (B - B) indicates an uplift and erosion of older rocks, and a paraconformity (C - C) represents a relatively smooth transition between parallel sedimentary layers with a potential time gap.

To know more about unconformity:

https://brainly.com/question/12975849

#SPJ4

--The given question is incomplete, the complete question is given below " List and explain three different unconformities shown on this

figure. Explain your answer (15 points) "--

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

The dual model for the given primal model is, Maximize W = 55y₁ + 80y₂ + 57y₃ and Subject to 11y₁ + 21y₂ + 31y₃ ≥ 10 and 12y₁ + 22y₂ + 33y₃ ≥ 9, with the nature restrictions: y₁ ≥ 0, y₂ unrestricted, y₃ unrestricted.

To obtain the corresponding dual model for the given primal model

The primal model is:

Minimize Z = 10x₁ + 9x₂ + 8x₃

Subject to:

11x₁ + 12x₂ = 55

21x₁ + 22x₂ + 23x₃ ≤ 80

31x₁ + 33x₃ ≤ 57

x₁ ≤ 0, x₂ ≥ 0, x₃ is unrestricted

a) The dual objective function is obtained by taking the coefficients of the primal model's constraints as the variables in the dual model's objective function. Thus, the dual objective function is:

Maximize W = 55y₁ + 80y₂ + 57y₃

where y₁, y₂, and y₃ are the dual variables corresponding to the primal constraints.

b) The dual constraints are obtained by taking the coefficients of the primal model's variables as the variables in the dual model's constraints. The primal inequalities become the dual equalities and vice versa. Additionally, the sign restrictions of the primal variables become sign restrictions for the dual variables. Thus, the dual constraints are:

11y₁ + 21y₂ + 31y₃ ≥ 10

12y₁ + 22y₂ + 33y₃ ≥ 9

where y₁, y₂, and y₃ are the dual variables corresponding to the primal variables.

c) Nature restrictions of the dual variables:

Since x₁ ≤ 0 in the primal model, the corresponding dual variable y₁ has the restriction y₁ ≥ 0 (non-negativity).

Since x₂ ≥ 0 in the primal model, the corresponding dual variable y₂ has no specific restriction.

Since x₃ is unrestricted in the primal model, the corresponding dual variable y₃ is also unrestricted.

Therefore, the complete dual model is:

Maximize W = 55y₁ + 80y₂ + 57y₃

Subject to:

11y₁ + 21y₂ + 31y₃ ≥ 10

12y₁ + 22y₂ + 33y₃ ≥ 9

y₁ ≥ 0, y₂ is unrestricted, y₃ is unrestricted

To know more about primal dual:

https://brainly.com/question/32640242

#SPJ4

The end of the 48-inch long treadmill is raised approximately 8.36 inches.

The incline of the treadmill is given as 10 degrees.

We can use trigonometry to calculate the height of the end of the treadmill.

The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.

Substitute the values into the formula:

h = 48 inches * sin(10 degrees)

Calculate the sine of 10 degrees using a calculator:

sin(10 degrees) ≈ 0.1736

Multiply the length of the treadmill by the sine of the angle:

h = 48 inches * 0.1736 ≈ 8.36 inches

The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.

To know more about angle of inclination, visit

https://brainly.com/question/31329503

#SPJ11

The number line that represents the inequality -6x - 3 > -9​ has a solution of x > 1

Correct option is: B

A horizontal line having uniformly spaced numerical intervals generally referred to as a number line. The numbers upon that lines should determine whether we response a numbers just on line. How a number is utilized, such as to map a point, is determined by the question which corresponds with it. An equal distance between each number is marked on a horizontal, straight line that is known as a number line. Some of them will have a defined beginning and end. These are referred to as closed number lines. Also possible are blank or empty number lines.

The inequality is given as:

-8x +5 ≥ 29​

or, - 8x ≥ 29 - 5

or, - 8x ≥ 24

or, x ≤ - 3

Hence, the number line that represents the inequality – 8x+5 ≥ 29 has a solution of x ≤ - 3.

Correct option is: B

To learn more about number lines at:

brainly.com/question/4727909

#SPJ1

The probability of drawing a red ball on the first draw is 3/5. Since the ball is not replaced, there are now 4 balls left in the bag, with 2 blue balls. Thus, the probability of drawing a blue ball on the second draw is 2/4 or 1/2. Therefore, the probability of drawing a red ball on the first draw and a blue ball on the second draw is (3/5) * (1/2) = 3/10.

To calculate the probability of drawing a red ball on the first draw and a blue ball on the second draw, we use the multiplication rule of probability. According to this rule, the probability of two events A and B occurring is the product of the probabilities of each individual event.

Here, event A is drawing a red ball on the first draw, which has a probability of 3/5 since there are 3 red balls out of 5 total balls in the bag. Since the ball is not replaced after the first draw, event B is drawing a blue ball on the second draw from the remaining 4 balls. There are 2 blue balls out of 4 total balls left in the bag, so the probability of drawing a blue ball on the second draw given that a red ball was drawn on the first draw is 2/4 or 1/2.

Thus, the probability of drawing a red ball on the first draw and a blue ball on the second draw is (3/5) * (1/2) = 3/10. Therefore, the probability of drawing a red ball on the first draw and a blue ball on the second draw is 3/10.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

Answer: If A is true, then B must be true.

Answer:

ds hj bfsj gjhbyuabfdbsybfy

Step-by-step explanation:

sdbhabjbgfybsbfsad gfhysabfubdfr

Answer:

First Question: x = -8

Step-by-step explanation:

-12x + 4 = 100

firstly we subtract 4 from 4 which will remove it from the equation and then we also subtract 4 from 100.

Now the equation will be -12x=96

Then we divide -12x by -12 to figure out the value of x and we also dive 96 by -12.

-12x/-12= 96/-12

Answer is x = -8

Hopefully that helped :)

Answer:

1. A point at (0, -3) and a point at (1, -1) and connect them

2. A point at (0, 4) and a point at (3, 6) and connect them

Step-by-step explanation:

The last number in the slope intercept form is the y-intercept, so that's one point down. Then all you gotta do is use the slope and do rise over run technique to find another point and then connect them!

If 15 carpenters can build 3 houses in 3 hours, it means that each house takes 1 hour to complete with their combined effort. Therefore, it would take 5 carpenters the same amount of time, 1 hour, to build 1 house.

Given that 15 carpenters can build 3 houses in 3 hours, we can determine their collective rate of work. Since 3 houses are built in 3 hours, it means each house takes 1 hour to complete with the combined effort of the 15 carpenters. Now, if we reduce the number of carpenters to 5 while keeping the rate of work constant, it stands to reason that 5 carpenters would take the same amount of time, 1 hour, to build 1 house. The number of carpenters is inversely proportional to the time taken to complete a task, assuming the rate of work remains constant. Therefore, by reducing the number of carpenters from 15 to 5, we can still maintain the same rate of work and complete 1 house in 1 hour.

Learn more about effort here:

https://brainly.com/question/11514425

#SPJ11

The average (mean) of the data is approximately 16.89 to two decimal places.

To calculate the average (mean) of the given data, you need to sum all the values and divide by the total number of values.

Sum of the data: 25.3 + 27.9 + 16.1 + 6 + 6.8 + 7.7 + 28.4 = 118.2

Total number of values: 7

Average (mean) = Sum of the data / Total number of values

Average = 118.2 / 7

Know more about average (mean) here;

https://brainly.com/question/15397049

#SPJ11

We need at least 5 tosses to be certain that the probability of getting at least one 6 is greater than or equal to 1/2.

The probability of not getting a 6 on a solitary throw of a fair six-sided kick the bucket is 5/6. Subsequently, the probability of not getting a 6 on n throws is \((5/6)^n\). The probability of getting somewhere around one 6 in n throws is 1 - \((5/6)^n\).

To view the quantity of throws expected as sure that the probability of getting somewhere around one 6 is more prominent than or equivalent to 1/2, we can set the probability equivalent to 1/2 and address for n:

1 - \((5/6)^n\) = 1/2

\((5/6)^n\) = 1/2

Taking the normal logarithm of the two sides, we get:

n ln(5/6) = ln(1/2)

n = ln(1/2)/ln(5/6) ≈ 4.807

Hence, we really want something like 5 throws to be sure that the probability of getting no less than one 6 is more prominent than or equivalent to 1/2.

To learn more about probability, refer:

https://brainly.com/question/30439947

#SPJ4

Answer:

A

Step-by-step explanation:

Answer:

Is A

Step-by-step explanation:

The value of sin(x/2), cos(x/2), and tan(x/2) from the given information using half angle formulas and Pythagorean identity is 7/25, 1/5√2, 7 respectively

To find sin(x/2), cos(x/2), and tan(x/2) from the given information, we can use the half-angle formulas.

From the given, cos(x) = -24/25 and 180° < x < 270°.

Since cos(x) = -24/25, we can use the fact that cos(x) is negative in the third quadrant (180° < x < 270°). This means that sin(x) will be positive.

Using the Pythagorean identity: sin^2(x) + cos^2(x) = 1, we can find sin(x):

sin^2(x) = 1 - cos^2(x)

sin^2(x) = 1 - (-24/25)^2

sin^2(x) = 1 - 576/625

sin^2(x) = 49/625

sin(x) = sqrt(49/625)

sin(x) = 7/25

Now, we can use the half-angle formulas:

sin(x/2) = sqrt((1 - cos(x))/2)

sin(x/2) = sqrt((1 - (-24/25))/2)

sin(x/2) = sqrt((25/25 + 24/25)/2)

sin(x/2) = sqrt(49/50)

sin(x/2) = 7/5√2

cos(x/2) = sqrt((1 + cos(x))/2)

cos(x/2) = sqrt((1 + (-24/25))/2)

cos(x/2) = sqrt((1/25)/2)

cos(x/2) = sqrt(1/50)

cos(x/2) = 1/5√2

tan(x/2) = sin(x/2)/cos(x/2)

tan(x/2) = (7/5√2) / (1/5√2)

tan(x/2) = 7/1

tan(x/2) = 7

Therefore, sin(x/2) = 7/5√2, cos(x/2) = 1/5√2, and tan(x/2) = 7.

To learn more about trigonometric functions visit:

https://brainly.com/question/1143565

#SPJ11

Answer:

your answer will bw the option A.

Step-by-step explanation:

Answer:

C: 7/5

Step-by-step explanation:

In determining the slope of a line, the type of fraction we use is (x-axis/y-axis)

Since the only part of the graph where the x and y are whole numbers (except for the origin but that helps us none lol) is (7, 5), the slope of the line is 7/5

The weights of newborn infants at a certain hospital are considered continuous variables. Continuous variables can take on any value within a certain range.

In the case of newborn infant weights, the weight can be measured with precision to any decimal point, allowing for a continuous scale of measurement.

Unlike discrete variables, which have specific distinct values, such as whole numbers, the weight of newborn infants can vary continuously. Infants can have weights such as 2.567 pounds, 5.342 pounds, or any value in between.

Therefore, the weights of newborn infants at a certain hospital are classified as continuous variables due to their ability to vary continuously within a given range.

Learn more about continuous variables here : brainly.com/question/28280608

#SPJ11

Answer:

5544

Step-by-step explanation:

11x24x21=5544

otherwise it is impossible

Answer:

E

Step-by-step explanation:

Here, we want to find the area of the shaded portion on the graph.

That would be P(-1.2<z<0.85)

we complete this by checking these values on the standard score table as follows;

P( z< 0.85) - P(z<-1.2) = 0.68727