what is the angle of elevation of the top of a 8m high from a point on the ground 9.2 m away from the foot of the tree​

The score that separates the lower 60% from the top 40% is 213.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

Find the z-score that corresponds to the probability in the z-table. (see attached images)

probability = 60% = 0.60

z-score = 0.25362694300518124

Then solve for the value of the score that separates the lower 60% from the top 40% using the formula below.

z-score = (x – μ) / σ

where x = individual data value = score

μ = mean = 200

σ = standard deviation = 50

0.25362694300518124 = (x - 200) / 50

x = 212.68

x ≅ 213

Hence, the score that separates the lower 60% from the top 40% is 213.

Learn more about probability here: brainly.com/question/26822684

#SPJ4

The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

To learn more about the equation of a line visit:

brainly.com/question/2564656.

#SPJ1

The sum of forecast errors is also known as total forecast error. Therefore, the correct answer is option A, which is "2."

The absolute error of the given data is calculated by subtracting the actual value from the forecasted value, followed by the absolute value.

The errors are then summed up to get the mean absolute deviation. The value used for ||18−20|| in the calculation of MAD and summing up the forecast errors is 2.

Therefore, the correct answer is option A, which is "2."Formula for calculating MAD:MAD = Σ ( | A_i - F_i | ) / n

Where: MAD is the mean absolute deviation|A_i - F_i| represents the absolute error between the actual value (A) and the forecasted value (F)n is the total number of observations, Sum of forecast errors:Σ ( A_i - F_i )Where: A_i is the actual valueF_i is the forecasted value

The sum of forecast errors is also known as total forecast error.

Learn more about absolute deviation here:

https://brainly.com/question/32547820

#SPJ11

The equations which can be used to solve for y, the length of the room are;

It follows from the task content that the equations which can be used to solve for y, the length of the rectangular room are to be determined.

Let y be the length of the room;

On this note, the width of the room is; (y - 5).

Hence, since the area of a rectangle is given by;

Area = length × width.

Therefore;

750 = y (y - 5)

y² - 5y = 750

OR

750 - y (y - 5) = 0.

OR

750 - y² + 5y = 0

y² - 5y - 750 = 0

(y + 25) (y - 30) = 0.

On this note, the required equations are;

Read more on area of a rectangle;

https://brainly.com/question/25292087

#SPJ1

Answer:40

Step-by-step explanation:304

                                           -264

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

                                            40

Answer:

40

Step-by-step explanation:

Just do 304-264=40

PLS RATE AS BRAINLIEST ANSWER

The resulting vector, known as the resultant vector, is the vector that starts from the origin and ends at the head of the second vector.

For constructing a vector using the rule for addition, we need to follow the following steps:

1. Identifying the magnitudes and directions of the vectors involved.
2. Placing the tail of the first vector at the origin (0,0) of a coordinate system.
3. Using the magnitude of the first vector to draw an arrow in the direction indicated.
4. Placing the tail of the second vector at the head of the first vector.
5. Using the magnitude and direction of the second vector to draw an arrow starting from the head of the first vector.

Learn more about Vector from the given link!

https://brainly.com/question/17157624

#SPJ11

Answer:

Step-by-step explanation:

If I found the mean, the answer would be:

3+ 4+4+4+5+6+7+23= 56

56/ 8 = 7

If I found the average value using the median, the answer would be 4.5.

In this set of data, the anomaly is 23 as it is much higher than the other numbers.

The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.

Therefore, the median is better to work out the average in this set of data.

:)

The correct option is A. limx→[infinity] (2 + 8x + 8x³) / x³.

The given limit is limx→[infinity] (2 + 8x + 8x³) / x³.  

Limit of the given function is required. The degree of numerator is greater than that of denominator; therefore, we have to divide both the numerator and denominator by x³ to apply the limit.

Then, we get limx→[infinity] (2/x³ + 8x/x³ + 8x³/x³).

After this, we will apply the limit, and we will get 0 + 0 + ∞.

limx→[infinity] (2+8x+8x³)/x³ = ∞.

Divide both the numerator and denominator by x³ to apply the limit. Then we will apply the limit, and we will get 0 + 0 + ∞.

To know more about Limit visit:

https://brainly.com/question/12211820

#SPJ11

Answer:

I believe it would be D, the smiley face that's on the bottom.

Step-by-step explanation:

Since the smiley face is first reflected on the y axis, (vertically,) it'd be upside down. Then, turning it 90 degrees clockwise is simply just turning it left once.

The Holmberg radius of a galaxy is related to its effective radius and the corresponding isophotal surface brightness, which is why it can be described using the equation rH = rc (4.18 - 0.12μc)4.

The Holmberg radius of a galaxy, rH, is the radius at which a galaxy's surface brightness profile becomes flatter than the r1/4 law.

This radius can be related to the galaxy's effective radius, rc, and the corresponding isophotal surface brightness, μc, with the equation rH = rc (4.18 - 0.12μc)4.

The effective radius is defined as the radius at which half of the total luminosity of the galaxy is enclosed.

This radius is usually related to the isophotal surface brightness, μc, which is the surface brightness at the effective radius.

The Holmberg radius is related to the effective radius and the isophotal surface brightness because a galaxy's surface brightness profile becomes flatter than the r1/4 law at the Holmberg radius.

The equation for the Holmberg radius includes the effective radius, rc, and the isophotal surface brightness, μc.

The constants in the equation, 4.18 and 0.12, are derived from observational data,

showing that the Holmberg radius is approximately four times the effective radius when the isophotal surface brightness is around 26.2 mag arcsec-2.

To know more about Holmberg radius refer here:

https://brainly.com/question/30522719#

#SPJ11

I know five things about the Ferris wheel, including its distance above the ground, maximum and minimum elevations, diameter, and time it takes to complete one full revolution.

Regarding the Ferris wheel, I know that its distance above the ground is one of the crucial pieces of information, as it helps determine the wheel's diameter. Additionally, I am aware of the maximum and minimum elevations that the wheel reaches during a full revolution. Another essential aspect that I know is the diameter of the wheel, which is equal to the difference between the maximum elevation and the distance above the ground. Lastly, I am also aware of the time it takes to complete one full revolution, which is also known as the period of the Ferris wheel.

To plot the maximum and minimum heights of the Ferris wheel for two full periods, I would need to use an x-y graph with the x-axis representing time and the y-axis representing the height of the Ferris wheel. I would plot the maximum and minimum heights of the wheel for one full period, and then repeat the process for the second period. This way, I would have a clear picture of how the Ferris wheel moves and operates over time.

In summary, I know five things about the Ferris wheel, including its distance above the ground, maximum and minimum elevations, diameter, and time it takes to complete one full revolution. To plot the maximum and minimum heights, I would use an x-y graph and repeat the process for two full periods.

Learn more about maximum and minimum elevations here:

https://brainly.com/question/32091379

#SPJ11

Answer:

C

Step-by-step explanation:

Equation A

16x - 7 = 11x - 32

(16x - 7) - 11x = (11x - 32) -11x

5x - 7 = -32

(5x - 7) + 7 = (-32) + 7

5x = -25

(5x)/5 = (-25)/5

x = -5

Equation B

-4x - 10 = 2x + 20

(-4x - 10) - 2x = (2x + 20) - 2x

-6x - 10 = 20

(-6x - 10) + 10 = (20) + 10

-6x = 30

(-6x)/-6 = (30)/-6

x = -5

Both Equation A and Equation B have a solution of -5.

Answer:

supplementary angles

Step-by-step explanation:

Answer:

supplementary angle

The solutions for the quadratic equation 9x² - 6x + 5 = 0 are A. 2 complex roots

To determine the the type of roots the quadratic equation 9x² - 6x + 5 = 0, we use the quadratic formula to find the roots.

So, for a quadratic equation ax + bx + c = 0, the roots are

\(x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}\)

With a = 9, b = -6 and c = 5, the roots of our equation are

\(x = \frac{-(-6) +/- \sqrt{(-6)^{2} - 4 X 9 X 5} }{2 X 9} \\x = \frac{6 +/- \sqrt{36 - 180} }{18} \\x = \frac{6 +/- \sqrt{-144} }{18} \\x = \frac{6 +/- \sqrt{-12} }{18}\\x = \frac{6}{18} +/- i\frac{12}{18} \\x = \frac{1}{3} +/- i\frac{2}{3} \\x = \frac{1 + 2i}{3} or \frac{1 - 2i}{3}\)

Since the roots of the equation are (1 + 2i)/3 and (1 - 2i)/3, there are 2 complex roots.

So, the solutions for the quadratic equation 9x² - 6x + 5 = 0 are A. 2 complex roots

Learn more about quadratic equations here:

https://brainly.com/question/18117039

Answer:

2 complex roots

Step-by-step explanation:

Just took the exam

Answer:

2y

Step-by-step explanation:

\((-2)(-y) = (-1)(2)(-1)(y) = (-1)^2\ccdot 2y = 2y\)

None of the given equations—4(x + 3) = 6(x + 2) - 5, 2(3 - 2x) = x - 3(x + 1), and 5(x + 3) = 4(x + 3) - 3—have no solution.

We can solve each equation individually to determine if it has a solution.

Equation 1: 4(x + 3) = 6(x + 2) - 5
Expanding the brackets and simplifying, we get 4x + 12 = 6x + 12 - 5.
Combining like terms, we have 4x + 12 = 6x + 7.
By subtracting 4x from both sides, we get 12 = 2x + 7.
Subtracting 7 from both sides, we have 5 = 2x.
Dividing by 2, we find x = 2.5.
This equation has a solution.

Equation 2: 5(x + 3) = 4(x + 3) - 3
Expanding the brackets and simplifying, we get 5x + 15 = 4x + 12 - 3.
Combining like terms, we have 5x + 15 = 4x + 9.
Subtracting 4x from both sides, we get x + 15 = 9.
By subtracting 15 from both sides, we have x = -6.
This equation has a solution.

Therefore, none of the given equations has no solution.

Learn more about Equation click here :brainly.com/question/13763238

#SPJ11

Answer:

The answer is A. Yes, because the points in the plot are all very close to the line, which indicates a strong association.

Step-by-step explanation:

plouto answer

Answer:

Yes, because the points in the plot are all very close to the line, which indicates a strong association.

Step-by-step explanation:

When the points in a scatter plot are very close to the line of best fit, there is a strong association between the two variables and the line of best fit can be expected to make reliable predictions.

So, yes, the line of best fit could be used to make reasonable predictions, because the points in the plot are all very close to the line, which indicates a strong association.

The probability of picking a card less than 7 from a standard deck of cards is 2/13.

To find the probability (P) of picking a card less than 7, we need to determine the number of favorable outcomes (cards less than 7) and divide it by the total number of possible outcomes.

In this case, the favorable outcomes are the cards with values less than 7, which are 5 and 6. The total number of possible outcomes is the total number of cards in the deck, which depends on the specific deck being used.

Assuming a standard deck of 52 cards, there are four 5s and four 6s, making a total of eight favorable outcomes.

Therefore, P(less than 7) = favorable outcomes / total outcomes = 8 / 52.

Simplifying the fraction, we find that P(less than 7) = 2 / 13.

For more such questions on probability

https://brainly.com/question/251701

#SPJ8

Step-by-step explanation:

Step-by-step explanation:

Here, we want to know the shop with the best value for 20 items

For the Tesco shop, we have 4 for 1.84

So the price for 20 items will be 20/4 * 1.84 = 5 * 1.84 = 9.2

for the Asda shop, we have 5 for 2.4

Price for 20 items will be 20/5 * 2.4 = 9.6

This shows that Tesco is the best in value

Answer:

shop for clothes to take a clothes up?.

by a clothes to take the shop.so is may be able too.44|?.

Answer:

x = 4

Step-by-step explanation:

perpendicular lines have opposite and reciprocal slopes

the line y = 2 is a horizontal line, which means the slope is zero

also, y = 2 intersects the y-axis at 2

a line perpendicular to a horizontal line is a vertical line and, if it passes through the point (4,5) will intersect the x-axis at 4

therefore, the equation would be x = 4

The water left in the bird bath  is  mathematically given as

x=53.21ounces

Water is a compound of hydrogen and oxygen that may exist as a gas, a liquid, or a solid. It's a very common and crucial chemical element.

A colorless, odorless, and tasteless liquid at room temperature, it is still useful because of its capacity to dissolve a wide variety of other compounds.

Generally, the equation for the statement is  mathematically given as

x=72-6.19-12.6

Therefore

x=53.21

In conclusion, water left in the bird bath is given as

x=53.21ounces

Read more about water

https://brainly.com/question/19920929

#SPJ1

Answer:

If it's the area of the parallelogram, then it's 21.5m². But if it's the area of the red triangle, then it's 10.75m². Together, they are both 32.25m².

Step-by-step explanation:

Answer:

bar chart

Step-by-step explanation:

you are right box plot, histogram and a circle graph aren't the right ones

Frederick Taylor's theory is known as "scientific management," which aimed to improve workplace productivity by emphasizing efficiency and standardization.

Here are some pros and cons of his theory:

Pros:

1. Increased productivity and efficiency: Taylor's approach helped companies streamline their processes and make better use of their resources. This led to increased productivity and efficiency, which can lead to greater profits and growth.

2. Improved worker skills: By breaking down work into smaller tasks and optimizing them, Taylor's method allowed workers to learn new skills and become more specialized in their work. This can lead to a sense of mastery and increased job satisfaction.

3. Clear division of labor: Taylor's method led to a clear division of labor, which allowed companies to better organize their workers and maximize their output. This also helped to reduce conflict and confusion in the workplace.

Cons:

1. Dehumanization of workers: Taylor's approach viewed workers as mere cogs in a machine rather than as human beings. This led to a lack of respect and dignity for workers, which can lead to low morale and high turnover rates.

2. Lack of creativity and innovation: Taylor's method emphasized standardization and efficiency over creativity and innovation.

3. Potential for abuse: Taylor's approach can be abused by employers who are more concerned with profit than with worker welfare.

Know more about the Frederick Taylor's theory

https://brainly.com/question/28609073

#SPJ11

Answer:

7

Step-by-step explanation:

3x- 1/9y = 18

value of x when y is 27

3x- 1/9*27 = 18

3x- 3 = 18

3x = 18 + 3

3x = 21

x= 21/3

x = 7

Hope this helps you!

Answer:

x = 7

Step-by-step explanation:

3x-1/9(27) = 18

x = 21/3

=7

The Number of ways that four people can be seated on the bench so that john is not next to paul is 12

In mathematics, An arrangement of things or items in a specific sequence is known as a permutation. One should think about both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important.

The arrangement of n items in r ways is given by

Here we have

4 people (John, Paul, George, and Ringo) are seated in a row on a bench

Here total No of ways that 4 can be seated = 4 × 3 × 2 × 1 = 24

The number of ways of seating the four people so that john is next to paul is 12

Then the number of ways the four people on the bench so that john is not next to paul can find as given below

= Total No of ways, 4 can be seated - No of ways that john next to paul  

= 24 - 12 = 12        

Learn more about Permutations at    

https://brainly.com/question/27058178

#SPJ1

The R-Square value indicates the proportion of variability in reasoning scores explained by the treatment variable, the treatment degrees of freedom represent the number of treatments minus one.

1. The R-Square for the ANOVA of SCORE on TREATMENT is 0.147. This indicates that approximately 14.7% of the total variability in the reasoning scores can be explained by the treatment variable.

2. The Treatment degrees of freedom for this ANOVA is 3. Since there are four treatments and the degrees of freedom for treatment is calculated as the number of treatments minus one (4 - 1 = 3), the treatment degrees of freedom is 3.

3. The statement "The Sum of Squares for the Treatment is larger than the Sum of Squares for the Error" is not definitively true or false based on the given information. The comparison of the sums of squares for the treatment and error depends on the specific data and the variability within and between the treatment groups. Further analysis would be needed to determine the relative sizes of these sums of squares and their significance in explaining the variability in reasoning scores.

In summary, the R-Square value indicates the proportion of variability in reasoning scores explained by the treatment variable, the treatment degrees of freedom represent the number of treatments minus one, and the comparison of sums of squares for treatment and error requires additional analysis.

Learn more about squares here:

https://brainly.com/question/28776767

#SPJ11

Answer:

10√10=10×3.162=31.622 is in decimal or 10×11½

10√10=10×3.162=31.622

Answer:

[

Step-by-step explanation: