Whose answer is correct? Explain your reasoning.

The 3 trigonometric ratios of the right triangle with respect to angle A are as follows:

sin A = 12 / 13

cos A = 5 / 13

tan A = 12 / 5

The side of a right angle triangle can be found using trigonometric ratios as follows:

Therefore, let's find the 3 trigonometric ratios with respect to angle A.

sin A = opposite / hypotenuse

sin A =  36 / 39

sin A = 12 / 13

cos A = adjacent  / hypotenuse

cos A = 15 / 39

cos A = 5 / 13

tan A = opposite / adjacent

tan A = 36 / 15

tan A = 12 / 5

learn more on trigonometric ratios here: https://brainly.com/question/31511607

#SPJ1

In the given angles X is 73 degrees, Y is 107 degrees, and Z will be 73 degrees respectively according to the given figure.

In plane geometry, an angle is a shape made up of two rays or lines with the same terminal.

The vertex, or identical termination of the two rays, is referred to as an angle's sides.

Since we lack a measurement for angular rotation, the angle is a valuable tool for measuring angular distance.

For instance, a meter or an inch is a unit of measurement for linear motion.

So, one is 107° given the four angles.

in the opposite vertical angle:

y = 107°

Since x and z are vertically opposing angles, both will have the same value.

So,

x = z = n

The total angle will now equal 360°.

107 + x + z + y = 360

107 + 2n + 107 = 360

2n = 146 ⇒ n = 73°

Therefore, In the given angles X is 73 degrees, Y is 107 degrees, and Z will be 73 degrees respectively according to the given figure.

Kow more about angles here:

https://brainly.com/question/25716982

#SPJ1

The length of each segment is:

YW = 5 units

WZ = 8 units

The length of each segment can be found by using "bisector of an angle in a triangle theorem".

The theorem states that "the bisector of an angle in a triangle theorem divides the opposite sides in the ratio of the sides containing the angle".

Applying the theorem on the given triangle, we can say:

XY/XZ = YW/WZ

8/12.8 = (t/2)/(t-2)

8(t-2) = 12.8(t/2)

8t - 16 = 6.4t

8t - 6.4t = 16

1.6t = 16

t = 10

YW = t/2

YW = 10/2

YW = 5 units

WZ = t - 2

WZ = 10 - 2

WZ = 8 units

Learn more about triangles on:

brainly.com/question/11967894

#SPJ1

The quadratic function f(x) = g(4x) has a turning point at (-3, 8)

If the quadratic function g(x) has a turning point at (-12,8), then it has the form

g(x) = a(x + 12)^2 + 8

where "a" is a constant that determines the shape of the quadratic curve.

To find the turning point of the function f(x) = g(4x), we substitute 4x for x in the equation for g(x)

f(x) = g(4x) = a(4x + 12)^2 + 8

Simplifying this expression, we have:

f(x) = 16a(x + 3)^2 + 8

This is also a quadratic function with a turning point at (-3, 8), which we can find by comparing it to the standard form of a quadratic function:

f(x) = a(x - h)^2 + k

where (h, k) is the turning point.

Therefore, the turning point at (-3, 8).

Learn more about quadratic function here

brainly.com/question/30221023

#SPJ4

Answer: Let x be the number of race entries. In order to raise at least $55,000, we must have 45x + 17,900 ≥ 55,000 −45x ≥ −37,100 x ≤ -37,100/45 x ≤ 824.44 Therefore, the charity needs 824 or more race entries to raise at least $55,000.

Answer:

x=60

y=30

z=64

Step-by-step explanation:

By using triangle sum theorem, 84+36+x=180

You then isolate the variable, resulting in x=60

x and y are complementary, therefore, x+y=90

Since x is already known, y must be isolated, resulting in 60+y=90 then y=30

By using triangle sum theorem, 86+y+z=180

Since y is already known, z must be isolated, resulting in 86+30+z=180 then z=64

Organizational skills

Organizational skills and the ability to communicate effectively are crucial for a systems analyst who needs to work with individuals at all levels of an organization, manage conflicting user needs, and ensure that information is communicated clearly and efficiently. Interpersonal skills are important to a systems analyst who must work with people at all organizational levels, balance conflicting needs of users, and communicate effectively. The knowledge and skills in leadership and strategic management are essential for the creation and achievement of an organizational vision and strategy. These skills include effective communication, decision-making, and the ability to evaluate and measure success, as well as a deep understanding of the organization and its environment. Leadership and strategic management play a crucial role in the success of any organization. A strong and effective leader with a well-developed understanding of strategic management is essential for the creation and achievement of an organizational vision and strategy.

Learn more about Organizational skills here: brainly.com/question/30471901

#SPJ11

Applying the rule of  angle of intersecting chord, the value of arc AC is

The measure of arc AC is done using the concept of 2 chords intersecting inside a circle this results to the formula

angle x = 1/2 (measure of arc AC + measure of arc BD)

Solving for measure of arc AC

2 * angle x = measure of arc AC + measure of arc BD

measure of arc AC = 2 * angle x - measure of arc BD

Learn more about angle of intersecting chord at

https://brainly.com/question/30920640

#SPJ1

Para entender mejor esta función, podemos expandirla y simplificarla:

f(x) = (x+2)(-x+6)

f(x) = [tex]-x^2 + 4x + 12[/tex]

Esta es una función cuadrática, lo que significa que tiene la forma de una parábola. El término cuadrático ([tex]-x^2[/tex]) hace que la parábola tenga una concavidad hacia abajo, lo que significa que el valor máximo de la función se encuentra en el vértice de la parábola.

Podemos encontrar el valor del precio de venta que maximiza la ganancia utilizando la fórmula x = -b/(2a), donde "a" es el coeficiente del término cuadrático y "b" es el coeficiente del término lineal.

En este caso, a = -1 y b = 4, por lo que:

x = -4/(2-1)

x = -4/-2

x = 2

Por lo tanto, el precio de venta que maximiza la ganancia es de 2 por unidad. Si se venden las unidades a este precio, la ganancia total sería de:

f(2) = [tex]-2^2 + 4(2) + 12[/tex]

f(2) = -4 + 8 + 12

f(2) = 16 dólares

Es importante tener en cuenta que la función f(x) también puede ser utilizada para calcular la ganancia total para cualquier precio de venta "x". Por ejemplo, si se venden las unidades a 3 por unidad, la ganancia sería:

f(3) = [tex]-3^2 + 4(3) + 12[/tex]

f(3) = -9 + 12 + 12

f(3) = 15 dólares

for such more question on mejor esta

https://brainly.com/question/1030576

#SPJ11

Answer:  1/6.

Step-by-step explanation: The probability of rolling a 4 or 6 on a number cube with numbers 1-6 is 2/6 or 1/3. The probability of the spinner landing on a square or circle when it has four equal sections is 2/4 or 1/2. Since the two events are independent, the probability of both events happening is the product of their individual probabilities. Therefore, the probability that Veronica will roll a 4 or 6 and the spinner will land on a square or circle is (1/3) * (1/2) = 1/6.

Answer:

3/8

Step-by-step explanation:

This level of granularity can be particularly useful when analyzing complex datasets or when trying to identify subtle relationships between variables.

What is a graph?

In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).

One advantage of being able to see each individual data point in a graph when comparing two data sets is that it allows for a more accurate and detailed analysis of the similarities and differences between the two sets. By examining the distribution and spread of the data points, it is possible to identify patterns and trends that may not be immediately apparent from a simple comparison of summary statistics, such as means or medians.

Additionally, by seeing each individual data point, it becomes possible to detect outliers or anomalies that may be skewing the data, which can lead to more informed decision-making and a deeper understanding of the underlying trends and patterns in the data. This level of granularity can be particularly useful when analyzing complex datasets or when trying to identify subtle relationships between variables.

To learn more about graph from the given link:

brainly.com/question/17267403

#SPJ1

To interpret the residual plot, we need to understand that the residuals are the differences between the actual values and the predicted values from the regression model.

I. The residual plot can give us an indication of the linearity of the relationship between the two variables. If the plot shows a clear pattern or curvature, it suggests that the relationship is non-linear. From the given information, we cannot see the residual plot and thus cannot determine if the relationship between the number of employees at Microsoft and the year is non-linear.

II. If the regression equation overestimates the number of employees at Microsoft in 1982, it means that the actual number of employees in 1982 was lower than what the regression equation predicted. Looking at the residual plot, if the residuals for the year 1982 are mostly positive (i.e., above the horizontal line), it suggests that the regression equation overestimated the number of employees in 1982. We cannot see the residual plot from the given information to determine if this statement is true.

III. If the number of employees at Microsoft decreased from 1976 through 1982, it means that the actual number of employees in 1982 was lower than the number of employees in 1976. Looking at the residual plot, if the residuals for the years from 1976 to 1982 are mostly negative (i.e., below the horizontal line), it suggests that the regression equation overestimated the number of employees during those years, which would be consistent with a decrease in the number of employees. Therefore, this statement could be true based on the residual plot.

Learn more about regression model:https://brainly.com/question/14983410

#SPJ1

The answers are:

a. The new expression becomes 50.879(2.3)^(0.1x)

b. The constant percent change rate is 8.68%

c. A person in China ate 1611 kilocalories.

Given:

f(x) = 50.879(2.3)^x

a. To rewrite the expression in years

One year is one-tenth of a decade, thus, the new expression becomes 50.879(2.3)^(0.1x)

b. The constant percent change rate:

Percent rate = new value - old value/old value x 100

Thus, if we put in the values,

55.298- 50.879/50.879 x 100

= 8.68%

c. To find the calories in kilo

g(0) = 1611(1.013)^6 = 1611

Therefore, a person in China ate 1611 kilocalories.

Read more about percent change rate here:

https://brainly.com/question/30687529

#SPJ1

Answer:miami is 43431.16 rounded to 43431 because you can't have .16 of a person.

washington dc is 4249.22 which is round to 4249 because you can't have .22 of a person.

and new york city is 27348.99 which is rounded to 27349 because you can't have .99 of a person.

Step-by-step explanation:

im smart and im really good at math

Rounding to the nearest degree, the angle of depression from the airplane to the airport is 22 degrees.

What is the angles of depression from the airplane to the airport ?

We can see that the angle of depression is the angle between the horizontal ground and the line of sight from the airplane to the airport.

Using the tangent function, we have:

tan(θ) = opposite / adjacent

where opposite = height of airplane = 3 miles, and adjacent = distance from airplane to airport = 7.5 miles.

So, tan(θ) = 3 / 7.5

Taking the inverse tangent of both sides, we get:

θ = tan⁻¹(3 / 7.5) ≈ 22 degrees

Therefore, the angle of depression from the airplane to the airport is approximately 22 degrees (rounded to the nearest degree).

to know more about angle

brainly.com/question/28451077

#SPJ1

The value of function k(f(x)) is 12x³ + 32x - 8.

Function composition is a way to combine two or more functions to form a new function. In this case, we are given two functions f(x) and k(x), and we need to find the value of k(f(x)), which means we need to apply the function k(x) to the output of the function f(x).

Here we have

Functions f(x)= 3x³ +8x -2 and k(x) = 4x

To find k(f(x)), we need to substitute the expression for f(x) into k(x) wherever we see x. So, we have:

k(f(x)) = 4(f(x)) = 4(3x³ + 8x - 2)

We can simplify this expression by distributing the 4:

k(f(x)) = 12x³ + 32x - 8

Therefore,

The value of function k(f(x)) is 12x³ + 32x - 8.

Learn more about Functions at

https://brainly.com/question/23972305

#SPJ1

This means that we can be 95% confident that the true population means examination score falls within this range based on the sample data.

The confidence interval estimate of the population means examination score can be calculated using the sample mean and the margin of error. The margin of error depends on the level of confidence and the sample size.

For example, if a sample of 100 applications provided a sample mean score of 80, and a 95% confidence level is used, the confidence interval estimate of the population mean examination score would be:

Margin of error = (critical value) x (standard error)

The critical value for a 95% confidence level with 99 degrees of freedom is 1.984. The standard error can be calculated using the formula:

Standard error = (standard deviation) / sqrt(sample size)

If the standard deviation of the examination scores is known, it can be used in the formula. If not, the sample standard deviation can be used as an estimate.

Assuming a sample standard deviation of 10, the standard error would be:

[tex]Standard\  error = \frac{10} { \sqrt{(100)}} = 1[/tex]

Therefore, the margin of error would be:

Margin of error = 1.984 x 1 = 1.984

The confidence interval estimate of the population means examination score would be:

80 ± 1.984, or between 78.016 and 81.984.

This means that we can be 95% confident that the true population means examination score falls within this range based on the sample data.

learn more about confidence intervals,

https://brainly.com/question/24131141

#SPJ11

The 95% confidence interval for the population mean examination score would be between 72.23 and 77.77, to the

nearest whole number.

To determine the confidence interval estimate of the population mean examination score based on a sample mean

provided to the nearest whole number, we need to know the sample size and the level of confidence.

Assuming a normal distribution and a level of confidence of 95%, we can use the following formula to calculate the

confidence interval estimate:

Confidence interval = sample mean +/- (critical value) x (standard error)

The critical value can be found using a t-distribution table or a calculator, based on the sample size and degrees of

freedom (n-1). For a sample size of 30 or more, we can use the z-score instead of the t-score.

The standard error is the standard deviation of the sample divided by the square root of the sample size.

For example, if a sample of 50 applications provided a sample mean of 75, and the standard deviation was 10, the

standard error would be 10/sqrt(50) = 1.41.

Assuming a level of confidence of 95%, the critical value for a sample size of 50 and degrees of freedom of 49 would be 1.96.

Therefore, the confidence interval estimate would be:

75 +/- 1.96 x 1.41 = 75 +/- 2.77

for such more question on confidence interval

https://brainly.com/question/20309162

#SPJ11

the function f(x) in vertex form that shifts left 10 units is f(x) = (x - 0)² - 5, where the vertex is at (0, -5) and the parabola opens upwards

How to solve the question?

To write the function f(x)=x² + 5 in vertex form that shifts left 10 units, we can use the completing the square method.

First, we can factor out the coefficient of x², which is 1, and rewrite the function as f(x) = 1(x²) + 0x + 5. Then, we can add and subtract a constant term inside the parentheses that will allow us to complete the square.

f(x) = 1(x² - 0x + 0) + 5

f(x) = 1(x² - 2(0)(x) + 0² - 0²) + 5 (adding and subtracting 0)

f(x) = 1(x² - 2(0)(x) + 0² - 0² + 10 - 10) + 5 (adding and subtracting 10)

f(x) = 1[(x - 0)² - 10] + 5

Simplifying this expression, we get:

f(x) = (x - 0)² - 10 + 5

f(x) = (x - 0)² - 5

Therefore, the function f(x) in vertex form that shifts left 10 units is f(x) = (x - 0)² - 5, where the vertex is at (0, -5) and the parabola opens upwards. The shift to the left is achieved by subtracting 10 inside the parentheses, and the constant term outside the parentheses is adjusted accordingly to maintain the same value of the function at x=0.

To know more about functions visit :-

https://brainly.com/question/11624077

#SPJ1

Answer:

The corresponding sides:

[tex]NO[/tex]≅[tex]ZW[/tex]

[tex]PM[/tex]≅[tex]XY[/tex]

[tex]MN[/tex]≅[tex]YZ[/tex]

[tex]OP[/tex]≅[tex]WX[/tex]

The corresponding angles:

[tex]< M[/tex]≅[tex]< Y[/tex]

[tex]< P[/tex]≅[tex]< X[/tex]

[tex]< O[/tex]≅[tex]< W[/tex]

[tex]< N[/tex]≅[tex]< Z[/tex]

Three shoppers are in the elevator of a department store. the anticipated number of stops the lift makes sometime recently the three customers have all cleared out the lift is 21/4, or 5.25 stops on normal.

E(X) = ∑ x P(X = x) where the summation is over all conceivable values of X, and P(X = x) is the likelihood that X takes on the esteem x.

The conceivable values of X are 3, 4, and 5, The likelihood that X = k for k ≥ 3 is the likelihood that the three customers will have all left the lift after k stops, which is 7/8 times the Probability that they have not all cleared out after k - 1 stops. That's, P(X = k) = (7/8) P(X = k-1)

Utilizing this recursive relationship, ready to compute the probabilities of X taking on each conceivable esteem: P(X = 3) = 7/8

P(X = 4) = (7/8)(1/8) = 7/6

P(X = 5) = (7/8)(7/64) = 49/512

P(X = 6) = (7/8)(49/512) = 343/4096

Presently we are able to utilize the equation for anticipated esteem to discover E(X): E(X) = ∑ x P(X = x)

= 3(7/8) + 4(7/64) + 5(49/512) + 6(343/4096) + ...

= ∑ (3/2)[tex]^{k}[/tex] (7/8)[tex]^{k}[/tex]

= (7/8) (3/2) / (1 - 3/2)

= (7/8) (3/2) / (1/2)

= 21/4

To learn about Probability visit:

https://brainly.com/question/30034780

#SPJ4

Answer:

x >-15

Step-by-step explanation:

Please here is it.

where x >-15

Answer:

Surface area of prism A is approximately 12.4 square units.

Step-by-step explanation:

Since prism A and prism B are similar, their corresponding side lengths are proportional. Let's use the scale factor k to represent the ratio of the side lengths of prism B to those of prism A. Then, the volume of prism B is (k³)(27) = 27k³ cubic units. Similarly, the surface area of prism B is (k²)(surface area of prism A).

We are given that the volume of prism B is approximately 512 cubic units. Therefore, we can solve for k:

27k³ = 512

k³ = 512/27

k ≈ 3.62

Now, we can use k to find the surface area of prism A:

surface area of prism B = (k²)(surface area of prism A)

128 = (3.62²)(surface area of prism A)

surface area of prism A ≈ 12.4 square units

Therefore, the surface area of prism A is approximately 12.4 square units.

When comparing the data from the two locations, the measure of center that should be used to determine which location typically has the cooler temperature is the median.

In Sunny Town, the histogram shows that the shaded bars are skewed to the right, indicating that the distribution is positively skewed. This means that there are a few high temperatures that pull the mean towards the higher end.

However, the median, which represents the middle value when the data is arranged in ascending order, is less affected by extreme values and is a better measure of the center for skewed distributions.In Desert Landing, the histogram shows a symmetric distribution, with the shaded bars evenly distributed around the center.

In this case, both the mean and median can be considered reliable measures of the center.Therefore, to determine which location typically has the cooler temperature, we should use the median.

For more such questions on data

https://brainly.com/question/30459199

#SPJ11

Answer: Exact Form (simplify form):

8/125

Decimal Form:

0.064

Step-by-step explanation:

The correct option is - C. The data for the two population of the weight of squirrels have different skews.

Data that produces an uneven, skewed curve on a graph is referred to as skewed data. In statistics, a data set with a normal distribution has a bell-shaped, symmetrical graph. Skewed data, however, has a "tail" on each side of the graph. Two of the most typical skew types are:

For the given  population of the weight of squirrels:

The data for the two population of the weight of squirrels have different skews.

Know more about the skewed data:

https://brainly.com/question/24055593

#SPJ1

The measures of variation show how data is spread out or dispersed and include range, variance, standard deviation, IQR, percentiles, and coefficient of variation.

The measures of variation show how data is spread out or dispersed from its average or central tendency. Measures of variation give information on the diversity, range, and distribution of the data. They include the following things-

By assaying the measures of variation, we can gain perceptivity into the nature and characteristics of the data and draw conclusions grounded on the degree of variation present.

Learn more about Percentiles;

https://brainly.com/question/28395856

#SPJ4

Answer: 213.75

Step-by-step explanation:

Add a zero to the hundredths place of 345.5 making it 345.50, then subtract as you would normally.