Using the formula for binomial probability distribution and the provided values, The answer is 0.775 .
What do you mean by probability distribution?A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.
What is binomial distribution and it's formula?The discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success (p) and fail—is known as the binomial distribution with parameters n and p in probability theory and statistics (1-p).
It's formula is:
[tex]P(x) = C(n,x)*p^{x}*q^{n-x}[/tex]
p = 0.89
q= 1-p = 0.11
n=15
P(x>=13) = P(13)+P(14)+P(15)
=0.279+0.322+0.174
=0.775
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Using composition of functions, determine if the two functions are inverses of each other. A. No, because the functions contain different operations. B. Yes, for all values x ≥ 0. C. No, because the composition does not result in an answer of x. D. Yes, because F(x) is equal to –G(x).
Yes, for all values x ≥ 0. If the composition of the two functions is equal to the identity function for all values of x in their domain, then the two functions are inverses of each other.
What is composition of functions?Composition of functions is a mathematical operation that involves combining two functions to form a new function. To determine if two functions are inverses of each other using composition of functions, we need to first define the two functions and then determine if the composition of the two functions is equal to the identity function (f(x) = x).If the composition of the two functions is equal to the identity function for all values of x in their domain, then the two functions are inverses of each other. In this case, the correct answer is B: Yes, for all values x ≥ 0.To learn more about composite functions refer :
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a young rattlesnake grows at a rate of about 20 centimeters per year. Write an expression to represent how much ghe rattlesnake grows in y years
The exponential function to show the growth in y years is P(1.2)^y
Exponential FunctionAn exponential function is a mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
In this problem, this is an exponential growth since the rate increases.
Let;
P = Initial lengthA = Length in y yearsr = rate of growthThe exponential function to represent this will be;
A = P(1 + r)^y
A = P(1 + 0.2)^y
A = P(1.2)^y
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In an exhibition, the cost of tickets for an adult is ₹5 more than thrice the cost of ticket for a child. Which equation relates the cost, , of adult ticket in terms of the cost, , of child ticket?
In an exhibition, the cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
Equation relates the cost, y, of adult ticket in terms of the cost, x, of child ticket.
Cost of Adult ticket = y
cost of child ticket = x
cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.
=> cost of tickets for an adult = 5 + 3 (cost o f ticket for a child.)
=> y = 5 + 3x
=> y = 3x + 5
Equation is y = 3x + 5
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Given MN is perpendicular to MP, PQ is perpendicular to MP, and NR is congruent to OR. Prove triangle NRP is congruent to triangle QRM
1. [tex]\overline{MN} \perp \overline{MP}[/tex], [tex]\overline{PQ} \perp \overline{MP}[/tex] (given)
2. [tex]\angle NMP[/tex] and [tex]\angle MPQ[/tex] are right angles (definition of perpendicular lines)
3. [tex]\angle NMP \cong \angle MPQ[/tex] (all right angles are congruent)
4. [tex]\overline{NR} \cong \overline{QR}[/tex] (given)
5. [tex]\angle NRM \cong \angle QRP[/tex] (vertical angles)
6. [tex]\triangle PRQ \cong \triangle MRN[/tex] (AAS)
7. [tex]\overline{MR} \cong \overline{RP}[/tex] (CPCTC)
8. [tex]\angle NRP \cong \angle MRQ[/tex] (vertical angles)
9. [tex]\triangle NRP \cong \triangle QRM[/tex] (SAS)
Word Problems: (please write out the equations and solve it)
1. David is going out for a pizza. The Pizza costs $10.50 plus $1.50 for each extra
topping ,x. Write an equation to represent the total cost of the pizza, t.
Dependent variable:
Independent variable:
Equation:
Use your equation to determine the total cost of the pizza with 3 extra
toppings.
The total cost of the pizza is
Dependent variable: t (total cost of the pizza)
Independent variable: x (number of extra toppings)
Equation: t = 10.50 + 1.50x
To determine the total cost of the pizza with 3 extra toppings, plug in x = 3 into the equation:
t = 10.50 + 1.50(3)
t = 10.50 + 4.50
t = 15.00
So the total cost of the pizza with 3 extra toppings is $15.00.
What is Dependent Variables?
The dependent variable is the variable that is being measured or studied in a statistical or scientific research study. It is called the dependent variable because it is believed to depend on the value of one or more other variables, known as the independent variables.
What is Independent Variables?
Independent variables are variables that are manipulated or controlled by the researcher in a scientific or statistical study. They are called independent variables because they are believed to have an effect on the dependent variable, which is the variable being measured or studied.
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I need to know what p is 12.4 - p =7.9
Answer: p = 4.5
Step-by-step explanation:
12.4 - 4.5 = 7.9
Answer: p=4.5
Step-by-step explanation:
You do it like this: 12.4=7.9+p
12.4-7.9=p
p=4.5
what is the product of all constants $k$ such that the quadratic $x^2 kx 15$ can be factored in the form $(x a)(x b)$, where $a$ and $b$ are integers?
The value of k as calculated from the information provided is -16 , -8 , 8 , 16.
The given equation is,
x² + kx + 15
= ( x + a ) (x + b)
= x² + (a + b ) x + ab
Therefore,
k = a + b
ab = 15
as known , a and b are integers,
15 = ( -1 x -15 ) , ( 1 x 15)
15 = (-3 x -5) , (3 x 5 )
Therefore,
k = -1 -15
= -16
and
k = -3 - 5
=8
The values of k are -16 , -8 , 8 , 16.
The collection of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.
On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer.
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Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The
area of the patio is 350 ft2. Find the base. Round your answer to the nearest foot.
Hint : Use A = bh.
We may calculate our answer using fractions and the fact that the base is 18.3 feet.
What are fraction ?The components of a whole or group of items are represented by fractions. A fraction consists of two components.
The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.
The denominator is the figure that appears below the line. It displays the total number of identical objects in a collection or the total number of equal sections the whole is divided into.
There are three different methods to express a fraction: as a fraction, as a percentage, or as a decimal. Let's examine each of the three representational styles.
According to our question-
The patio is 280 square feet in size. locate the base.
Height = 5x Area = 280 feet square
Base = 6x
The parallelogram A's area can be expressed mathematically as;
Base + height equals area.
A = b×h
the values of area, base, and height are substituted.
280 = 5x × 6x = 30x^2 \sx^2 = 280/30 \sx = √(280/30)
Given that the base is 6x,
swapping out x's value.
Base = 6x = 6(√(280/30))
Base=18.3 feet
18.3 ft tall is the base
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Answer:
At short 18.7 ft is the answer
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
stays the same
increases
decreases
Population standard deviation, level of significance are same.
Margin of error increased.
With increase in margin of error sample size decreases.
By dividing the population's standard deviation by the sample size and then multiplying the resulting number by the crucial factor, the margin of error—a statistical expression used to estimate how much a result will deviate from the value of the full population—can be determined.
The standard deviation of the sample statistics, if we could take several samples of the same size, is the standard error.
Population standard deviation, level of significance are same.
Margin of error increased.
Margin of error increases leads to decrease in the sample size
as the margin of error is in denominator position in sample size formula. Hence with increase in margin of error sample size decreases.
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(redo) A mistake was made in the steps shown to simplify the expression. which step includes the mistake?? EDMENTUM
The step in which there was a mistake in the simplification of the expression is given as follows:
A. Step 5.
How to simplify the expression?The expression in this problem is defined as follows:
(1 + 3²)/5 + |-10|/2
The first step is applying the absolute value of -10, which is the distance of -10 from the origin of 0, hence it is of 10 and the expression is given then by:
(1 + 3²)/5 + 10/2.
Then the square is applied to 3², as 3 x 3 = 9, hence:
(1 + 9)/5 + 10/2
The parenthesis takes precedence, hence:
10/5 + 10/2.
The first quotient takes precedence, hence:
2 + 10/2.
Then in Step 5 there was the mistake, as the quotient takes precedence over the addition, meaning that the expression should have been simplified as follows:
2 + 5 = 7.
This means that option A is correct.
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STEP BY STEP please help me asap please !!!???
Answer:
(A) 19 times, 16 people.
Step-by-step explanation:
There are 374 people in line and 16 people leave the line without riding, so there are 374 - 16 = <<374-16=358>>358 people who want to ride the Caterpillar.
The Caterpillar seats 18 people, so it must run 358/18 = <<358/18=19.89>>19.89 times to accommodate all the riders.
Since the Caterpillar cannot run a fraction of a time, it must run 19 times.
There are 358 people who want to ride and the Caterpillar can accommodate 19 x 18 = <<19*18=342>>342 of them, so there are 358 - 342 = <<358-342=16>>16 people on the last ride.
Therefore, the Caterpillar runs 19 times and there are 16 people on the last ride, so the answer is (A) 19 times, 16 people.
Tell me if this helped :)
I need help with these
Answer:
[tex] = \frac{11}{10} \\ \\ [/tex]
this is the correct answer for first question
Identify the slope and y-intercept of each linear function's equation. X -3=4 slope = 1; y-intercept at -3 y=1-3x slope =-3; y-intercept at 1 y = 3x. - 1 slope =-1; y-intercept at 3 -x+3=y slope = 3; y-intercept at -1
Using slope-intercept form, the slope and y-intercept of the equation are 1 and - 7 respectively
Slope and Y-interceptThe slope-intercept formula is often used to calculate or identify the slope, the y-intercept, the x-intercept, or the equation of a straight line in the equation.
The slope of the line is defined as the rate of change of the y - axis to the change in the x - axis.
The formula is represented as;
m = Δy / Δx
where Δ represent the change
The y-intercept of a line is the point at which the line touches the y-axis of the graph.
With these information, we can write a slope-intercept form of a straight line which is given as;
y = mx + c
m = slopec = y-interceptIn the given question;
x - 3 = 4
Let's collect like terms
x - 3 - 4 = x - 7
The equation can be rewritten as y = x - 7
In this case, the slope is 1 and the y-intercept is - 7
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Solve the equation below. Only 1 term should be entered in each blank space.
Begin by reducing the fraction on the left by the greatest common factor and entering the new denominator
Since the terms on the left side of the equation are all divisible by that denominator, simplify the left side of the equation
Answer:
it's not easy but I'll try my best when I get the answer I'll come back thanks
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 100 m, find Its area.
Answer:4
Step-by-step explanation:
rectangular prism 1 829 equals the conterpostiive
k3-4j=12,wen k =8,j=2
With the Application of Arithmetic operators the value of given equation is 492.
what is Arithmetic operators?
an operator that works with groups and numbers in arithmetic. The prefix and the binary plus (+) and minus (-) symbols are the only arithmetic operators in AHDL that are supported for Boolean expressions.
solution:
sub k =8,j=2 in equation k^3-4j = 12
Therefore, (8)^3 - 4 (2) = 12
512 - 8 - 12 = 0
492 is the value.
Therefore the value of given equation is 492
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Complete Question:
What Is The Answer
k3 - 4j +12, when k=8, j=2
suppose that a product is designed to function for 10,000 hours with a 3% chance of failure. find the average number of failures per hour and the mttf.
A product is designed to function for 10,000 hours with a 3% chance of failure , then Average number of failures per hour = 0.03/10000 = 0.000003 and MTTF = 1/0.000003 = 333,333 hours
Given,
Chance Product is designed to function for 10,000 hours
of failure is 3%
To find,
Average number of failures per hour
MTTF
Solution,
Average number of failures per hour = Chance of failure/Total hours of function
= 3%/10000
= 0.03/10000
= 0.000003
MTTF = 1/Average number of failures per hour
= 1/0.000003
= 333,333 hours
The product is designed to function for 10,000 hours with a 3% chance of failure. This means that the average number of failures per hour is 0.000003 and the Mean Time To Failure (MTTF) is 333,333 hours. This means that, on average, the product should last 333,333 hours before it fails.
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Round 24.07 to the nearest tenths. It’s for an app it got a number line
24.07 rounded to the nearest tenth is 24.1
question in screenshot (need help ASAP)
Consider the equation y = negative 2 x + 5. Create a table of five ordered pairs that satify the equation. What is the slope of the line represented by the equation? a. M = 2 b. M = 5 c. M = negative 2 d. M = negative 5.
Answer: C
Step-by-step explanation:
Slope is the number right in front of x, which in this case would be -2. So C is the answer.
Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.
x|y
0|5
1|3
2|1
3|-1
4|-3
When solving an equation, Tina gets to the last of line of her work and is left with "7=7." What does this mean?
A
The solution is 7.
B
There is infinite solutions.
C
There is only one solution.
D
There is no solution.
The last line of a solution is 7 = 7. It means there is infinite solutions.
What are types of solution of linear equation?
The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.
The set of linear equations can have one of three different sorts of solutions. As follows:
1) unique solution
2) No solution
3) Infinite solutions
Given that the last line after solving an equation is 7 = 7.
Since the LHS and RHS of the equation is same thus it has infinite many solution.
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Question 5 of 25
Which inequality is true?
OA />2
OB. 107> 30
C. 8-n> 5
D. π+4<7
SUBM
The true inequality in the list of options is (a) 6π > 2
How to determine the true inequality?From the question, we have the following inequality that can be used in our computation:
6π > 2, 7π > 30, 8 - π > 5 and π + 4 < 7
The value of the constant π is 3.142
So, we solve for π in the inequality expressions
A.6π > 2
This gives
π > 2/6
Divide
π > 0.33 -- true
B. 7π > 30
Divide
π > 4.29 -- false
C. 8 - π > 5
This gives
π < 3 -- false
D. π + 4 < 7
This gives
π < 3 -- false
Hence, the true inequality is 6π > 2
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Complete question
Which inequality is true?
A. 6π > 2
B. 7π > 30
C. 8 - π > 5
D. π + 4 < 7
The base of triangle exceeds the height by 4cm if the area is 30cm² then find the langth of base & hight of triangle
Answer:
Base = 10 cm
Height = 6 cm
Step-by-step explanation:
Here is the formula for the area of a triangle.
[tex]A=\frac{bh}{2}[/tex]
We are given
[tex]A=30[/tex]
[tex]b=h+4[/tex]
Replace all occurrences of [tex]b[/tex] with [tex]h+4[/tex] in each equation.
[tex](h+4)*\frac{h}{2} =30[/tex]
Apply the distributive property.
[tex]h(\frac{h}{2})+4(\frac{h}{2})=30[/tex]
[tex]\frac{h*h}{2}+4(\frac{h}{2})=30[/tex]
Use the power rule to combine exponents.
[tex]\frac{h^2}{2}+4(\frac{h}{2})=30[/tex]
Factor 2 out of 4 .
[tex]\frac{h^2}{2}+2(2)(\frac{h}{2})=30[/tex]
Cancel the common factor.
[tex]\frac{h^2}{2}+2h=30[/tex]
Solve for h.
Multiply each term in [tex]\frac{h^2}{2}+2h=30[/tex] by 2 to eliminate the fractions.
[tex]\frac{h^2}{2}*2+2h*2=30*2[/tex]
Simplify each term.
Cancel the common factor of 2.
[tex]h^2+2h*2=30*2[/tex]
[tex]h^2+4h=60[/tex]
Subtract 60 from both sides of the equation.
[tex]h^2+4h-60=0[/tex]
Factor using the AC method.
Consider the form [tex]x^2+bx+c[/tex] . Find a pair of integers whose product is [tex]c[/tex] and whose sum is [tex]b[/tex] . In this case, whose product is − 60 and whose sum is 4 .
−6, 10
Write the factored form using these integers.
[tex](h-6)(h+10)=0[/tex]
Set [tex]h-6[/tex] equal to 0 and solve for h.
Then add 6 to both sides of the equation.
[tex]h-6=0\\h=6[/tex]
Set [tex]h+10[/tex] equal to 0 and solve for h.
Then subtract 10 from both sides of the equation.
[tex]h+10=0\\h=-10[/tex]
The final solution is all the values that make [tex](h-6)(h+10)=0[/tex] true.
[tex]h=6,-10[/tex]
Given [tex]b=h+4[/tex]
Replace all occurrences of h with 6 in each equation.
[tex]b=6+4\\b=10\\h=6[/tex]
Hello can someone help me out with these two questions!?!?! This will help me a lot thank you! :D
The solution to the first inequality is x ≥ -2. Option 1 is correct. The solution to the second inequality is x ≤ -7. Option 1 is correct.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
The inequalities are,
2( x +6 ) > -6( x +1) +2
2x + 12 > -6x - 6 + 2
2x + 6x > -12 - 6 +2
8x > -16
x > -2
-3x - 1 ≥ 20
-3x ≥ 21
x ≥ -7
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Annapurna suppliers sold construction materials of
Rs. 4,40,000 to Angel suppliers making 10% profit
and adding 13% VAT. Angel suppliers spent Rs. 5,000
for transportation cost and made 10% profit on the
purchased price excluding VAT and levied local tax Rs.
2500 and sold to constructor. What VAT amount should
be paid by the constructor?"
Ans: Rs. 70187
First, we need to find the price that Angel suppliers paid for the construction materials, including the profit made by Annapurna suppliers and the VAT.
The price that Annapurna suppliers sold the materials for was Rs. 4,40,000 + Rs. 4,40,000 * 10% = Rs. 4,84,000.
The VAT that Annapurna suppliers added was Rs. 4,84,000 * 13% = Rs. 62,820.
So, the total price that Angel suppliers paid was Rs. 4,84,000 + Rs. 62,820 = Rs. 5,46,820.
Next, we need to find the price that the constructor paid for the materials, including the profit made by Angel suppliers, the transportation cost, the local tax, and the VAT.
The profit that Angel suppliers made was Rs. 5,46,820 * 10% = Rs. 54,682.
The total price that the constructor paid was Rs. 5,46,820 + Rs. 54,682 + Rs. 5,000 + Rs. 2,500 = Rs. 6,58,002.
The VAT that the constructor should pay is Rs. 6,58,002 * 13% = Rs. 70187.
Therefore, the answer is Rs. 70187.
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question 5: on a given day, there is a car accident reported at the intersection of victory blvd and richmond avenue with a probability 0.05. what is the probability that there are at most 2 car accidents reported thoughout a month?
The formula for the cumulative probability of a Poisson distribution can be used to calculate the likelihood that there will be at most 2 reported car accidents over the course of a month:
Cumulative probability is equal to (number of events * e)/(average number of events per time period).
(Number of events / (-average number of events per time period)!)
In this instance, there are typically 0.05 events per time period (the likelihood that a car accident is reported at the intersection on any given day), and there are typically between 0 and 2 events per time period (at most 2 car accidents). With these values entered into the formula, we obtain:
Cumulative probability is equal to (0.05 * e(-0.05)) / 0, (0.05 * e(-0.05)) / 1, and (0.05 * e(-0.05)) / 2, respectively.
That amounts to:
Probability total = 1 + 0.05 + 0.0025
which translates to 1.0525 percent, or 105.25%. It's crucial to keep in mind that this probability exceeds 1, which is impossible. This is because the formula for cumulative probability makes the assumption that each event is independent, which means that the occurrence of one event has no bearing on the probability of the occurrence of another. The cumulative probability calculated using this formula may not accurately reflect the probability of at most 2 car accidents occurring throughout a month because in reality, the probability of a car accident occurring on a given day may be influenced by the number of car accidents that have already occurred. You would need to account for the dependencies between the events in order to calculate this probability precisely.
A storage box with a square base has a length of 2 feet and a height of 2 1/2 feet what is the volume of the storage box
Answer:
10
Step-by-step explanation:
Using this equation,
l × w × h = v
We can simply substitute the numbers into the equation.
2 × 2 × 2 1/2 =?
(We know that the width is equal to 2 because it is a square.)
2 × 2 = 4,
4 × 2 1/2 = 10
The volume of the storage box is equal to 10.
Delma finds that it takes 27 paces to walk from her current location to the rock. She also knows that each of her paces is 14 inches long. Explain how she can use this information to estimate the distance across the river.
To estimate the distance across the river, Delma can multiply the number of paces she takes by the length of each pace to find the total distance she walks.
For example, if Delma takes 27 paces and each of her paces is 14 inches long, she can estimate the distance she walks by performing the following calculation:
27 paces * 14 inches/pace = 378 inches
This means that Delma estimates the distance across the river to be 378 inches, or about 31.5 feet.
It's important to note that this is just an estimate, and the actual distance across the river may be slightly different due to factors such as the terrain or the accuracy of Delma's pacing.
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Find the inverse of the function f(x) = 3x + 2. State the answer in slope-intercept form.
a plane, 50 miles away from its destination, is flying toward the airport at an altitude of 30,500 feet. later, this same plane is 20 miles from the airport and has descended to an altitude of 18,000 ft. how far has the plane flown?
Using the geometry from the question and using the Pythagorean theorem with the distance provided, The answer is 30.09 miles.
What is unit conversion?By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units.
What is Pythagorean theorem and it's formula?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.
It's formula is:
[tex]h^{2} = p^{2} +b^{2}[/tex]
h1=30500 feet = 5.77 miles
d1= 50 miles
h2= 18000 feet = 3.4 miles
d2= 20 miles
for right angle triangle,
height = h1-h2 = 2.37 miles
distance = 50-20 = 30 miles
plane flown = [tex]\sqrt{2.37^{2}+30^{2}}[/tex]
=30.09 miles
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