the angle of elevation to an airplane viewed from the control tower at an airport is 7. the tower is 200 feet high and the pilot reports that the altitude is 5200 feet. how far away from the control tower on a straight line is an airplane?
Answers
The distance between control room to airplane is 41027.5 feet.
What is trigonometric function?
The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
Here This distance (d) from tower will be the hypotenuse of a right triangle.
The altitude is the side opposite the angle at the tower
The tower is 200' high, therefore, the altitude above the tower.
=> 5200 - 200 = 5000 feet.
Now using sine ratio then,
=> Sin 7° = AC/BC
=> BC = AC/sin 7°
=> BC = 5000/sin 7°
=> BC = d = 41027.5 feet.
Hence the distance between control room to airplane is 41027.5 feet.
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Related Questions
The following data shows the grades that an 8th grade mathematics class received on a recent exam.
{99, 94, 91, 79, 88, 94, 92, 93, 90, 89, 77, 75, 65, 90, 87, 93, 92, 82, 65, 60, 78}
Part A: Determine the best graphical representation to display the data. Explain why the type of graph you chose is an appropriate display for the data. (6 points)
Part B: Explain, in words, how to create the graphical display you chose in Part A. Be sure to include a title, axis label(s), scale for axis if needed, and a clear process of how to graph the data. (6 points)
Answers
The resulting histogram would show the distribution of the grades on the exam, with the bins and frequency of data points clearly displayed. The title, axis labels, and scales would provide context for the graph and make it easy to interpret the data.
What is graph?In mathematics and computer science, a graph is a collection of points, called vertices or nodes, that are connected by lines, called edges or arcs. Graphs can be used to model and analyze relationships between objects or data, such as social networks, transportation systems, or web pages.
Here,
Part A:
The best graphical representation to display the given data is a histogram. A histogram is a bar graph-like representation of data that divides the data into intervals or bins and shows the frequency of each interval. Histograms are appropriate for displaying continuous data, which the grades on the exam can be considered as, and can also show the distribution of the data.
Part B:
To create a histogram of the given data, follow these steps:
Choose the number of bins or intervals. In this case, we can choose a reasonable number of bins, such as 6-8, to display the distribution of the grades.
Determine the range of the data. The lowest grade is 60 and the highest is 99, so the range is 99-60 = 39.
Calculate the bin size. The bin size is calculated by dividing the range by the number of bins. For example, if we choose 6 bins, the bin size would be 39/6 ≈ 6.5. Since it is difficult to have bins that are fractions of a point, we can round the bin size up to the nearest whole number to get a bin size of 7.
Create the bins. Starting from the lowest grade, create intervals or bins of size 7 that cover the range of the data. For example, the first bin would be 60-66, the second bin would be 67-73, and so on.
Count the frequency of data points that fall into each bin. For example, there are 2 data points in the first bin, 3 data points in the second bin, and so on.
Draw the histogram. On the horizontal axis, label and scale the bins. On the vertical axis, label and scale the frequency of data points in each bin. Draw a rectangle above each bin with a height equal to the frequency of data points in that bin.
Title: Grades on Recent 8th Grade Mathematics Exam
X-axis label: Grades
Y-axis label: Frequency
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Solve for x.
5)
X=
555
X-87
Answers
Answer:
x=162
Step-by-step explanation:
55+x-87+50=180
x+18=180
x=162
Solve for s. . ...................
Answers
Answer:
[tex]S = \dfrac{v^2 - u^2}{2a}[/tex]
Step-by-step explanation:
We can solve for S using algebraic manipulation.
[tex]v^2 = u^2 + 2aS[/tex]
↓ subtract [tex]u^2[/tex] from both sides
[tex]v^2 - u^2 = 2aS[/tex]
↓ divide both sides by [tex]2a[/tex]
[tex]\dfrac{v^2 - u^2}{2a} = S[/tex]
[tex]\boxed{S = \dfrac{v^2 - u^2}{2a}}[/tex]
[tex]\sf \boxed{\sf S=\dfrac{v^{2}-u^{2} }{2a}}[/tex]
Step-by-step explanation:1. Write the expression.[tex]\sf v^{2} =u^{2} +2aS[/tex]
2. Subtract "u²" from both sides of the equation.[tex]\sf v^{2}-u^{2} =u^{2} +2aS-u^{2}\\ \\v^{2}-u^{2} =2aS[/tex]
3. Dividie by "2" and "a" on both sides of the equation.[tex]\sf \dfrac{v^{2}-u^{2} }{2a} =\dfrac{2aS}{2a} \\ \\ \\\dfrac{v^{2}-u^{2} }{2a} =S\\ \\ \\\boxed{\sf S=\dfrac{v^{2}-u^{2} }{2a}}.[/tex]
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Solve each equation:
what is p and q in these equations
2p = 2 p =
q – 3 = 7 q =
Answers
Answer:
Step-by-step explanation:
q – 3 = 7 q
-3=6q
q=-1/2
2p=2p
{p∈IR}
What is the rate of change?
Answers
The rate of change is 0.5/2
Explanation:
For every time the x axis increases by two, the y axis increases by 2/4
2/4 = 0.5
So the rate of change is 0.5/2
725 unit digit of (325)
Answers
The unit digit of 725 unit digit of (325) is given as 5
How to solve for the unit digitUnveiling the unit digit of a number raised to an exact power can be done by analyzing the pattern of the unit digits of said power sequence.
For instance, given the task of ascertaining the unit digit of 325^725, let us observe the recurrent pattern concerning 5's power line:
[tex]5^1 = 5\\5^2 = 25\\5^3 = 125\\5^4 = 625\\5^5 = 3125[/tex]
It is readily evident that the final digit of 5 raised to any affirmative integer power shall invariably remain as 5. Correlatively, the end figure for 325^725 is also 5.
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A large number of coins are divided into four piles according to whether they are pennies, nickels, dimes or quarters. (a) How many ways are there to select 25 coins from the piles?(b) How many ways are there to select 25 coins if at least 5 of the chosen coins must be quarters?(c) Suppose the pile only has 10 quarters, so at most 10 quarters can be selected. How many ways are there to select 25 coins?
Answers
(a) To solve this problem, we need to apply the concept of combinations. We can find the total number of combinations by using the formula:
nCr = n! / r!(n-r)!
where n is the total number of objects, r is the number of objects we want to select.
Let's assume that we have x pennies, y nickels, z dimes, and w quarters. Since we want to select 25 coins, we can write the equation as x + y + z + w = 25
To find the number of ways to select 25 coins, we need to find the number of solutions to this equation. The total number of combinations is given by: (25 + 4 - 1)C(4 - 1) = 28C3
where we have 25 coins to select and four piles to choose from. Thus, the answer is 28C3.
(b) To solve this problem, we need to use the concept of counting with restrictions. Since we must select at least 5 quarters, we can assume that we have selected 5 quarters and we need to select the remaining 20 coins from the remaining piles. Let's assume that we have x pennies, y nickels, and z dimes. We can write it as x + y + z = 20
To find the number of ways to select 20 coins from the remaining piles, we can use the concept of combinations. The total number of combinations is (20 + 3 - 1)C(3 - 1) = 22C2
Thus, the total number of ways to select 25 coins with at least 5 quarters is given as 10C5 x 22C2
where we have selected 5 quarters from 10 quarters and 20 coins from the remaining piles.
(c)To solve this problem, we need to use the concept of counting with restrictions. Since we can select at most 10 quarters, we need to consider two cases:
(i) We select 10 quarters, and we need to select 15 coins from the remaining piles.
For case (i), we need to select 15 coins from the remaining piles. We can assume that we have x pennies, y nickels, and z dimes. We can write the equation as x + y + z = 15
The total number of ways to select 15 coins is (15 + 3 - 1)C(3 - 1) = 17C2
(ii) We select fewer than 10 quarters, and we need to select the remaining coins from the piles.
For case (ii), To calculate the number of ways, we can use the combination formula to select i quarters out of 10, where i can vary from 0 to 9, and select the remaining (25-i) coins from the remaining piles. We can then sum up the number of ways for all possible values of i to get the total number of ways to select 25 coins with at most 10 quarters.
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PLEASE ANSWER!! WILL GIVE BRAINLIEST
Answers
Answer:
the correct answer is option D
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Sunny Town is symmetric
Mean, because Sunny Town is skewed
Median, because Beach Town is skewed
Mean, because Beach Town is symmetric
Answers
Answer:Range, because it measures the difference between the highest and lowest values in a datase........
Step-by-step explanation:
The median should be used to determine which location typically has the cooler temperature, with Beach Town being the location with higher temperatures due to its skewed data.
The measure of center that should be used to determine which location typically has the cooler temperature is the Median, because Beach Town is skewed.
The median is a measure of center that represents the middle value of a data set when it is arranged in ascending or descending order. When comparing the two histograms, Sunny Town's data is symmetric, meaning that it has roughly equal frequencies on both sides of the center. In this case, the median could be a good representation of the typical temperature in Sunny Town.
However, Beach Town's data is skewed, meaning that it is not symmetrical and has a longer tail on one side of the center. This indicates that there are more occurrences of higher temperatures in Beach Town compared to Sunny Town. In skewed data, the mean can be affected by extreme values, making it less reliable as a measure of center. The median, on the other hand, is less influenced by extreme values and can give a better indication of the typical temperature in Beach Town.
Therefore, the median should be used to determine which location typically has the cooler temperature, with Beach Town being the location with higher temperatures due to its skewed data.
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Write a division expresion that has the same value as 51. 2 divided by 6. 4 but is easier to use to find the value. Then, find the value using long division
Answers
The value of 51. 2 divided by 6. 4 using long division is 8.0
To find the value of 512 divided by 64, we can use long division. We start by dividing 5 (the first digit of 512) by 6 (the first digit of 64). Since 5 is less than 6, we bring down the next digit (1) to form the new dividend, 51. We then add a decimal point to the quotient and bring down the next digit (2) to form 512.
We repeat the process of dividing 51 by 6, which gives us 8 with a remainder of 3. We write the quotient (8) above the next digit of the dividend (2) and bring down the next digit (0) to form the new dividend, 30. We continue this process until we have brought down all the digits of the dividend.
At the end of the process, we get a quotient of 8.0, which is the value of our original expression, 51.2 divided by 6.4.
Therefore, 512 divided by 64 is equal to 8.0.
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9. Suppose a boat travels 96 miles downstream and then travels the same distance
upstream. In still water, the boat travels at a speed of 18 mph. Let x be the speed of
the current. If the total trip takes 12 hours, find the speed of the current to the
nearest whole number. Use t = . (Hint: Going downstream, the boat is going
with the current and going upstream, the boat is going against the current.) [10
points]
Answers
If the total trip takes 12 hours, the speed of the current is 1 mph.
What is speed?The speed of an object is described as the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time.
The downstream trip:
distance = rate × time
96 = (18 + x) × t ( 18 + x)
The upstream trip:
distance = rate × time
96 = (18 - x) × (12 - t)
96 = (18 - x) × (12 - t)
8 = x - (x/6)t
We have two equations and two unknowns, so we can solve for x and t.
We solve for x by making t subject fomula and substituting into the equation.
Where x = 1
In conclusion, if the total trip takes 12 hours, the speed of the current is 1 mph.
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what is the sum of the numbers 5,5,6,9,4,3,4,8,10,4
Answers
Answer:
58
Step-by-step explanation: You add them all together
what are the points that are contained in the graph of the equation?
Answers
Answer:
(0, [tex]\frac{1}{2}[/tex] ) , (1, [tex]\frac{5}{4}[/tex] ) , (2, 2 )
Step-by-step explanation:
to determine which points are contained in the graph.
substitute the x- coordinate of each point into the equation and if the value obtained is equal to the y- coordinate of the point then it is contained in the graph.
(0, [tex]\frac{1}{2}[/tex] )
y = [tex]\frac{3}{4}[/tex] (0) + [tex]\frac{1}{2}[/tex] = 0 + [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex] = y- coordinate ← contained in graph
(1, [tex]\frac{5}{4}[/tex] )
y = [tex]\frac{3}{4}[/tex] ( 1) + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{4}[/tex] + [tex]\frac{2}{4}[/tex] = [tex]\frac{5}{4}[/tex] = y- coordinate ← contained in graph
([tex]\frac{1}{2}[/tex], 0 )
y = [tex]\frac{3}{4}[/tex] ([tex]\frac{1}{2}[/tex] ) + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{8}[/tex] + [tex]\frac{4}{8}[/tex] = [tex]\frac{7}{8}[/tex] ≠ y- coordinate ← not contained in graph
(2, 2 )
y = [tex]\frac{3}{4}[/tex] (2) + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 = y- coordinate ← contained in graph
Robert models the volume of a popcorn box as a right rectangular prism. Its dimensions are
2
2 in by
2
1
2
2
2
1
in by
7
7 in. How many cubic inches of popcorn would it hold when it is full? Round your answer to the nearest tenth if necessary.
Answers
The popcorn box can hold 35 cubic inches of popcorn when it is full.
How to calculate the volume of the popcorn box?To find the volume of the popcorn box modeled as a right rectangular prism with dimensions 2 inches by 2.5 inches by 7 inches, you need to multiply the three dimensions together:
Volume = Length × Width × Height
In this case, the dimensions are:
Length = 2 inches; Width = 2.5 inches ; Height = 7 inches
Now, multiply the dimensions:
Volume = 2 × 2.5 × 7
Volume = 5 × 7
Volume = 35 cubic inches
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a spinner has 18 equal-sized sectors labeled 1 through 18. the spinner is spun once. what is the probability that the spinner lands on an even number or a number greater than 10?
Answers
The probability that the spinner lands on an even number or a number greater than 10 is 11/18.
There are two cases where the spinner can land on an even number or a number greater than 10:
Case 1: The spinner lands on an even number.
There are 9 even numbers on the spinner: 2, 4, 6, 8, 10, 12, 14, 16, and 18. The probability of the spinner landing on an even number is 9/18 = 1/2.
Case 2: The spinner lands on a number greater than 10.
There are 7 numbers greater than 10 on the spinner: 11, 12, 13, 14, 15, 16, and 18. The probability of the spinner landing on a number greater than 10 is 7/18.
To find the probability of either event occurring, we add the probabilities of the two cases and subtract the probability of both occurring simultaneously (since the numbers 12, 14, and 16 are even and greater than 10). Therefore, the probability of the spinner landing on an even number or a number greater than 10 is:
(1/2) + (7/18) - (3/18) = 11/18
Thus, the probability that the spinner lands on an even number or a number greater than 10 is 11/18.
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Kendie's family usually pays $36 for admission to the planetarium. On Sundays visitors receive a discount of 1/6 off the total admission price.
How much would Kendie's family pay to visit the planetarium on Sunday?
fraction diagram needed.
Answers
As a result, they would pay: 5/6 x $36 = $30 as Kendie's family would shell out 1/6 less than the standard admission price.
what is unitary method ?In mathematics, the linear approach is a way when resolving issues with direct or negative proportion. It entails figuring out the value of one unit of a quantity and utilising that value to figure out the value of any given quantity divided by that number of units. For instance, using the unitary technique, if we know that 5 oranges cost $10, we may calculate the price of 10 apples by first dividing $5 by 5 to get $2 per apple, multiplying $two by 10 to get $20 for 10 apples, and then using the result to get the price of 5 apples. In industries where proportional correlations are regularly found, like banking, business, and science, the unitary technique is frequently employed.
given
On Sunday, Kendie's family would shell out 1/6 less than the standard admission price, or 5/6 of the standard admission price.
As a result, they would pay: 5/6 x $36 = $30 as Kendie's family would shell out 1/6 less than the standard admission price.
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During his summer internship at a major publishing house, Abe prepared a report on contemporary young-adult fiction. As part of his research, Abe looked at 75 randomly chosen young-adult novels published last year and noted whether they include a love triangle or not. He found that 59 of the 75 did. Estimate the proportion of young-adult novels that include a love triangle, including a margin of error.
Answers
In the above scenario, it can be estimated with 95% confidence that the true proportion of young adult novels that include a love triangle are between 0.6854 and 0.8890
How is this so?First we compute the Point Estimate
PE = 59/75 = 0.7867
Next we compute the standard error
SE = √((- - hat x (1 - p- hat) )/n)
= √( (o.7867 x (1 - 0.7867 ))/ 75
= 0. 509
Since the expected confidence level is 95%,
Margin of error = t - critical x S E
= 1.99 x 0.0509
= 0.101291
Thus,
point estimate ± margin of error
0.7867 ± 0.1013
(0.6854, 0.8880)
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Suppose you are given two ordered pairs A and B. Explain how to write the equation of a line parallel to AB through a given point.
Answers
Answer:
To write the equation of a line parallel to AB through a given point, you need to follow these steps:
1. Find the slope of line AB using the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the given ordered pairs A and B.
2. Since the line you want to find is parallel to AB, it will have the same slope as AB.
3. Use the point-slope form of a linear equation to write the equation of the line. The point-slope form is:
y - y1 = m(x - x1)
where m is the slope you found in step 1, and (x1, y1) is the given point through which the line passes.
4. Simplify the equation by distributing the slope and combining like terms if necessary.
5. Your final equation should be in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Row A in a certain section in a football stadium has 10 seats. Each row behind row A is labeled alphabetically
(B, C, D, and so on) and has 6 more seats than the row immediately in front of it.
How many seats are in row G of this section of the stadium?
A. 52
B. 46
C. 40
D. 60
Answers
If each row behind the "row-A" has 6 more seats than row immediately in front of it, then there are (b) 46 seats in "Row-G".
The number of seats in "Row A" is = 10 seats,
We know that, each row behind the "row-A" has 6-more seats than the row immediately in front of it.
So, Number of seats in "Row-B" are = 10 + 6 = 16 seats,
Number-of-seats in "Row-C" are = 16 + 6 = 22 seats,
Number of seats in "Row-D" are = 22 + 6 = 28 seats,
Number of seats in "Row-E" are = 28 + 6 = 34 seats,
Number of seats in "Row-F" are = 34 + 6 = 40 seats,
So, According to the pattern,
Number of seats in "Row-G" will be = 40 + 6 = 46 seats.
Therefore, there are 46 seats in "Row-G", Option (b) is correct.
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after a snowstorm city workers removed an estimated 10000 cubic yards of snow from the downtown area if this snow were apread in an even layer ocer the entire rectangular football field shown below about how many yards deep would the layer of snow be
Answers
The 10,000 cubic yards of snow were spread evenly over the rectangular football field, the layer of snow would be approximately 1.56 yards deep.
To determine how many yards deep the layer of snow would be if spread evenly over the rectangular football field, we need to know the volume of the snow and the area of the football field.
First, let's find the area of the football field. Assuming standard dimensions for a football field, we have:
Length = 120 yards
Width = 53.3 yards
Area = Length x Width
Area = 120 yards x 53.3 yards
Area = 6,396 square yards
Now, let's find the volume of the snow. We are given that 10,000 cubic yards of snow were removed from the downtown area, so the volume is:
Volume = 10,000 cubic yards
Finally, to find the depth of the layer of snow, we can divide the volume of the snow by the area of the football field:
Depth = Volume / Area
Depth = 10,000 cubic yards / 6,396 square yards
Depth ≈ 1.56 yards
Therefore, if the 10,000 cubic yards of snow were spread evenly over the rectangular football field, the layer of snow would be approximately 1.56 yards deep.
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help! as soon as possible
Answers
The quadrilateral is a type of "kite", as the pair of adjacent angles are equal.
Explain about the features of kite:A quadrilateral known as a kite has four sides that may be grouped into two adjacent pairs of equal-length sides, and the diagonals cross each other at right angles. The quadrilateral is a polygon with four sides.
Kite's two diagonals meet at a right angle to form its properties.A kite's primary diagonal is symmetrical.The diagonal's primary opposed angles are equal.A set of congruent triangles having a common base can be thought of as the kite.The kite is split into two isosceles triangles by the shorter diagonal.Thus, the quadrilateral is a type of "kite", as the pair of adjacent angles are equal.
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A deck of standard playing cards holds 52 unique cards.
36 of these cards are numbered cards (numbered 2-9), 4
of these cards are aces, and 12 of these cards are face
cards (jack, queen, and king). If you play a card game and
draw half of the face cards, one ace, and one fourth of the
numbered cards, how many cards do you have? How
many of each card type of card do you have? Cite
evidence from the problem.
Answers
Answer:
Based on the information in the problem, you would have a total of 16 cards, with 6 being face cards, 1 being an ace, and 9 being numbered cards.
Step-by-step explanation:
According to the issue:
The deck contains 52 distinct cards.
There are 36 numbered cards ranging from 2 to 9.
There are four aces in the deck.
There are 12 face cards (including the jack, queen, and king).
If you draw half of the face cards, one ace, and one-fourth of the numbered cards, you will get the following:
Face cards in half: 1/2 * 12 = 6 face cards
1 ace: 1 ace
One-fourth of a deck of numbered cards: 1/4 * 36 = 9 decks of numbered cards
When you add these up, you get a total of 6 + 1 + 9 = 16 cards.
Based on the information in the problem, you would have a total of 16 cards, with 6 being face cards, 1 being an ace, and 9 being numbered cards.
Graph y=4/7x−2.
Use the line tool and select two points on the line to graph the line.
Answers
Answer:
Therefore, the answer is: The graph of the equation is a straight line passing through the points (0, -2), (7, 2), and (-7, -6).
Step-by-step explanation:
The given equation is y = (4/7)x - 2.
To graph this equation, we need to plot points on a coordinate plane. We can do this by choosing values of x and then finding the corresponding values of y using the equation.
Let's choose some values of x and find the corresponding values of y:
When x = 0, y = (4/7)(0) - 2 = -2
When x = 7, y = (4/7)(7) - 2 = 2
When x = -7, y = (4/7)(-7) - 2 = -6
We now have three points: (0, -2), (7, 2), and (-7, -6). We can plot these points on a coordinate plane and draw a line through them to get the graph of the equation.
Find the solution of the equation:
−6x−2x=5
. None of these
. 516
. −516
. −58
. 58
Answers
-8x = 5
Then, we can isolate x by dividing both sides by -8:
x = -5/8
Therefore, the solution to the equation -6x - 2x = 5 is x = -5/8.
None of the answer choices provided match this result.
Determine whether the function is even, odd, or neither.
h(x) = 2x³ + 9x
even
odd
O neither
Describe the symmetry.
O x-axis symmetry
no symmetry
O y-axis symmetry
origin symmetry
Answers
Since h(-x) = -h(x), the function is odd.
How to solveThe given function is h(x) = 2x³ + 9x.
To determine whether the function is even, odd, or neither, we need to analyze the behavior of the function when x is replaced by -x:
h(-x) = 2(-x)³ + 9(-x) = -2x³ - 9x.
Since h(-x) = -h(x), the function is odd.
Odd functions have origin symmetry, which means that if you rotate the graph 180 degrees around the origin, it remains unchanged. In other words, the graph has symmetry with respect to the origin, which occurs when the point (x, y) on the graph implies the point (-x, -y) is also on the graph.
So, the function h(x) is odd and has origin symmetry.
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The rainfall in a town, measured in inches over the last 7 days has been: 1 , 3 , 0 , 2 , 2 , 1 , 3 Find the median rainfall.
Answers
Answer: 2
Step-by-step explanation: 0 1 1 2 2 3 3 order
011 2 middle one 233
Need answer ASAP
Describe and correct the error in finding the given conditional probability.
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the conditional probability of being from London, given that someone is dissatisfied with their city, is approximately 0.452.
what is conditional probability ?
Conditional probability is the probability of an event A occurring, given that another event B has occurred. It is denoted as P(A | B), read as "the probability of A given B"
In the given question,
Based on the provided information, it seems like you have a table showing the number of satisfied and dissatisfied residents in three cities: Tokyo, London, and Washington D.C. You also have the total number of satisfied residents across all three cities.
The expression P(London|no) represents the conditional probability of someone being from London, given that they are dissatisfied with their city.
Using the formula you provided, we have:
P(London|no) = (P(no and London and don)) / (P(London and don))
where "no" represents being dissatisfied with the city and "don" represents being from the city of interest.
From the table, we see that:
P(no and London and don) = 112
P(London and don) = 248
Substituting these values into the formula, we get:
P(London|no) = 112 / (1000 * 248 / 644) ≈ 0.452
Therefore, the conditional probability of being from London, given that someone is dissatisfied with their city, is approximately 0.452.
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Alma took out a subsidized student loan of $10,925 at a 10.8% APR,
compounded monthly, to pay for her last 2 semesters of college. If she will
begin paying off the loan in 15 months, how much will she owe when she
begins making payments?
A. $10,925.00, since Alma is responsible for the interest on the loan
that accrues before she starts making payments
B. $10,925.00, since the government is responsible for the interest
on the loan that accrues before Alma starts making payments
C. $12,496.52, since Alma is responsible for the interest on the loan
that accrues before she starts making paymelins
D. $12,496.52, since the government is responsible for the interest on
the loan that accrues before Alma starts making payments
Answers
If she will begin paying off the loan in 15 months, . The amount she will she owe when she begins making payments is: C. $12,496.52, since Alma is responsible for the interest on the loan that accrues before she starts making payments.
What is the face value?The formula to calculate the future value of a loan with monthly compounding interest is:
FV = PV * (1 + r/12)^n
where:
PV = present value of the loan
r = annual interest rate
n = number of months
Using this formula, we can calculate the amount that Alma will owe when she begins making payments:
PV = $10,925
r = 10.8% APR = 0.9% monthly interest rate
n = 15 months
FV = $10,925 * (1 + 0.009)^15 = $12,496.52
Therefore, the answer is C. Alma is responsible for the interest on the loan that accrues before she starts making payments, and she will owe $12,496.52 when she begins making payments.
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Can someone please help me get this answer
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Answer:
C. 15 + 18x ≥ 95
Step-by-step explanation:
Given: She has $15 saved so far
She earns $18.00 for each lawn she mows (each lawn she mows = x)
The inequality has to be greater or equal to $95.00, so she can have enough to buy a pair of shoes.
15 + 18x ≥ 95
s = (50 - 44) ÷ 2
help :(
Answers
Answer:
s=3
Step-by-step explanation:
Equation: s=(50-44)/2
First, do the operation(s) in parenthesis:
s=(50-44)/2
s=(6)/2
Next, do the division, since it's the last operation:
s=6/2
s=3
So, your answer is s=3