Using the unitary method, we found that the equivalent amount of 750 US Dollars in Egyptian pounds is 1100 Egyptian pounds.
What is meant by the unitary method?The unitary method is a strategy for problem-solving that involves first determining the value of a single unit and then multiplying that value to determine the required value. Therefore, the goal of this method is to establish values in relation to a single unit. Always write the things that need to be calculated on the right side and the things that are known on the left side to simplify things. The unitary approach must be applied whenever we need to determine the ratio of one quantity to another.
Given,
The amount of money in US dollars = 750 US Dollars
The conversion to Egyptian pounds can be done using the unitary method.
1 usd = 18.48 Egyptian pounds
The unitary method can be used to convert single units to multiple units.
So,
750 usd = 750 * 18.48 = 1110 Egyptian pounds.
Therefore using the unitary method, we found that the equivalent amount of 750 US Dollars in Egyptian pounds is 1100 Egyptian pounds.
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Help me solve it please
The value of ratio of lime juice to mint is 3/2.
And the amount of lime juice is 3/2 of the amount of mint leaves.
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)
The ratio of lime juice to mint is 3/4: 1/2. therefore the value of this ratio = 3/4 ÷ 1/2 = 3/2
therefore the amount of lime juice = 1/2 × 3/2 = 3/4
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25 points and brainliest whoever gives right answer
Answer: D
Step-by-step explanation: Disregard the $ and solve algebraically.
[tex]4x+36\leq 52[/tex]
[tex]4x\leq 52-36[/tex]
[tex]4x\leq 16[/tex]
[tex]x\leq 4[/tex]
Answer: Choice D is the correct answer :)
Step-by-step explanation:
3. Given:f(x)=x2+2x−8A: What is the vertex? B: What is the line (or axis) of symmetry (in equation form)? C: What are thex-intercepts and they-intercept? D: What is the Domain: E: What is the Range: F: Increasing interval: G: Decreasing interval:H: End Behavior: asx→+[infinity],y⇒AND asx→−[infinity],y→1: Graph the function. Make sure you graph the vertex and 4 additional key points.
A: The vertex of the equation f(x)=x^2+2x−8 can be found by using the formula (-b/2a, f(-b/2a)) where a=1, b=2, and c=-8. Plugging in the values gives us the vertex (-1, -9).
B: The line of symmetry can be found by using the formula x=-b/2a. Plugging in the values gives us the equation x=-1.
C: The x-intercepts can be found by setting f(x)=0 and solving for x. This gives us the equation x^2+2x-8=0. Using the quadratic formula, we get x=(-2±√(2^2-4(1)(-8)))/(2(1)). Simplifying gives us x=(-2±√36)/2, which gives us the x-intercepts (-5.24, 1.24). The y-intercept can be found by setting x=0 and solving for y. This gives us the equation y=-8.
D: The domain of the function is all real numbers, or (-∞,∞).
E: The range of the function is all real numbers greater than or equal to -9, or [-9,∞).
F: The increasing interval of the function is (-1,∞).
G: The decreasing interval of the function is (-∞,-1).
H: The end behavior of the function is as x→+∞,y→∞ and as x→-∞,y→∞.
I: To graph the function, first plot the vertex (-1, -9) and the x-intercepts (-5.24, 0) and (1.24, 0). Then, plot two additional points on either side of the vertex, such as (-2, -6) and (0, -8). Connect the points with a smooth curve to complete the graph.
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A car starting from rest travels with a uniform acceleration of 5ms^-2 for 4s. Determine the velocity of the car after 4s.
please help me.
The velocity of the car is 80m/s
How to calculate the velocity of the car?v= u + at²
The parameters given are:
velocity= ?
initial velocity(u)= 0
acceleration(a)= 5
time(t)= 4
The velocity can be calculated as follows
v= 0 + 5(4²)
v= 0 + 5(16)
v= 0 + 80
v = 80
Hence the velocity of the car is 80m/s
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The value of y is proportional to the value of x. The constant of proportionality for this relationship is 2.
Answer:
go to the y and go all the way down to two i think
The diagram shows a right triangle and the lengths of two of its sides in inches. Which measurement is closest to the value of d in inches?
Substituting in the given values for a and b, we can solve for d and find that it is approximately 9.48 inches.
What is Pythagorean theorem?Pythagorean Theorem is a mathematical formula that states that the square of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the other two sides. It is expressed as a2 + b2 = c2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
The given diagram is a right triangle with two of its sides labeled in inches. To find the length of the third side (d), one must use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, d is the hypotenuse, so d2 = a2 + b2. Therefore, substituting in the given values for a and b, we can solve for d and find that it is approximately 9.48 inches.
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he velocity of a car that brakes suddenly can be determined from the length of its skid marks d by
v(d)=√12d
where d is in feet and v is in miles per hour. Round answers to 2 decimal places if necessary.
a. Complete the table of values.
d
v
30
50
60
90
b. Evaluate v(250). mph
1.....30 | 18.97
50 | 24.49
60 | 26.83
90 | 32.87
2..... 54.77 mph
a. To complete the table of values, we need to plug in the given values of d into the equation v(d) = √12d and solve for v.
For d = 30:
v(30) = √12(30) = √360 = 18.97 mph
For d = 50:
v(50) = √12(50) = √600 = 24.49 mph
For d = 60:
v(60) = √12(60) = √720 = 26.83 mph
For d = 90:
v(90) = √12(90) = √1080 = 32.87 mph
So the completed table of values is:
d | v
---|---
30 | 18.97
50 | 24.49
60 | 26.83
90 | 32.87
b. To evaluate v(250), we simply plug in the value of d into the equation and solve for v:
v(250) = √12(250) = √3000 = 54.77 mph
So the velocity of the car when the length of its skid marks is 250 feet is 54.77 mph.
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Horizontal Method For Numbers 3 - 4,PLS HELP 100 POINTS
1. ( 3 x − 3 ) ( 8 x + 1 )
= ( ) ( 8 x ) + ( ) ( 1 ) − ( 8 x ) − 3 ( )
= ( ) x ^2 + 3 x − ( ) x − 3
= ( ) x ^2 − ( ) x − 3
2. ( x − 4 ) ( 3 x − y + 3 )
= x ( ) + x ( ) + x ( ) − 4 ( ) − 4 ( ) − 4 ( )
= 3 x ^2 − ( ) + ( ) − ( ) + ( ) + ( )
= 3 x ^2 − x y − 9 x + 4 y + 12
PLS HELP GIVING 100 POINTS
A frequency table is a type of statistic used to organize and display data.
What is data set?A data set is a collection of related data records or observations, usually containing information about a particular subject or area of study. Data sets can be used to analyze trends, make predictions, and provide insights into various phenomena. Data sets can be collected from a variety of sources, such as surveys, experiments, simulations, or other research methods. They are typically organized into tables and can include both quantitative and qualitative data.
It is a chart that shows how often something occurs within a given set of data. The categories in a frequency table are the different values or categories of data, and the frequencies are the number of times each category occurs.
Relative frequency is the ratio of the number of times a category occurs in the data set to the total number of values in the data set. It is usually expressed as a percentage or decimal. For example, if the data set contains 20 values and the category "A" occurs 5 times, the relative frequency of "A" is 25%.
Cumulative frequency is the sum of the frequencies up to a given point in the data set. It is used to show how many values are below or above a certain category. For example, if the data set contains 20 values and the category "A" occurs 5 times, the cumulative frequency of "A" is 5. This means that there are 5 values that are below or equal to "A" in the data set.
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Answer:
A frequency table is a type of statistic used to organize and display data.
What is data set?
A data set is a collection of related data records or observations, usually containing information about a particular subject or area of study. Data sets can be used to analyze trends, make predictions, and provide insights into various phenomena. Data sets can be collected from a variety of sources, such as surveys, experiments, simulations, or other research methods. They are typically organized into tables and can include both quantitative and qualitative data.
It is a chart that shows how often something occurs within a given set of data. The categories in a frequency table are the different values or categories of data, and the frequencies are the number of times each category occurs.
Relative frequency is the ratio of the number of times a category occurs in the data set to the total number of values in the data set. It is usually expressed as a percentage or decimal. For example, if the data set contains 20 values and the category "A" occurs 5 times, the relative frequency of "A" is 25%.
Cumulative frequency is the sum of the frequencies up to a given point in the data set. It is used to show how many values are below or above a certain category. For example, if the data set contains 20 values and the category "A" occurs 5 times, the cumulative frequency of "A" is 5. This means that there are 5 values that are below or equal to "A" in the data set.
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A factory makes rectangular boxes. The area of the top surface can be modeled by the function F(x)=66x^2 +17x + 1. The width of the top surface can be modeled by the function G(x) = 6x + 1
Write an expression, H(x), in a standard form that describes the length of the top surface.
Answer in a complete sentence.
The length of the top surface in standard form is [tex]H(x) = (60x^2 + 16x + 1)/(6x + 1)[/tex]
What are algebraic expressions?Algebraic expressions are mathematical phrases that involve numbers, variables, and arithmetic operations such as addition, subtraction, multiplication, and division. They can also involve exponents, roots, and other mathematical symbols.
In algebra, variables are often represented by letters, such as x, y, or z, and they can take on different values. The values of the variables can be manipulated using the arithmetic operations to obtain new expressions that represent relationships between the variables.
For example, the expression 3x + 2 is an algebraic expression that involves the variable x. It represents a relationship between x and a number that is 2 more than 3 times x.
Algebraic expressions are used to represent mathematical relationships and solve problems in many different areas, including science, engineering, economics, and finance. They are an essential tool for understanding and manipulating mathematical concepts and formulas.
The area of a rectangle can be found by multiplying its length and width. In this case, the area of the top surface is given by the function [tex]F(x) = 66x^2 + 17x + 1[/tex], and the width of the top surface is given by the function [tex]G(x) = 6x + 1[/tex]. Therefore, the length of the top surface can be expressed as:
Length x Width = Area
[tex]Length x (6x + 1) = 66x^2 + 17x + 1[/tex]
Expanding the left side of the equation, we get:
[tex]6x^2 + x Length = 66x^2 + 17x + 1[/tex]
Bringing all the terms to one side, we get:
[tex]60x^2 + 16x + 1 - Length x = 0[/tex]
Rearranging the terms, we get:
[tex]Length x = 60x^2 + 16x + 1[/tex]
Finally, dividing both sides by the width function G(x), we get the expression for the length of the top surface in standard form:
[tex]H(x) = (60x^2 + 16x + 1)/(6x + 1)[/tex]
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ILL MARK BRAINLIEST!!!!!! PLS HELP
A mechanic charges a flat fee of $30 plus $25 an hour of
labor.
Which equation can be used to determine how many
hours, h, the mechanic spends working on a particular job
if the total amount earned is T dollars?
a. T = 25 - 30h
b. T = 25 + 30h
c. T = 30 - 25h
d. T = 30 + 25h
Answer: its D
i suck at explaining but ik its D
Solve the inequality:
2x-3
Please show your work!
Answer:
Step-by-step explanation:
A chocolatier visits Singapore and discovers the incredible taste of durian. They decide to create a durian flavored chocolate bar that costs no more than $4.50 per pound to produce. If plain chocolate costs $3.50 per pound and durian costs $15.75 per pound, how many pounds of durian are needed to produce 216 pounds of durian flavored chocolate bars?
The number of pounds of durian needed to produce 216 pounds of durian-flavored chocolate bars is 50 pounds.
We have,
To determine the amount of durian needed to produce 216 pounds of durian-flavored chocolate bars, we need to calculate the cost and compare it to the budget constraint.
Let's assume x represents the number of pounds of durian needed.
The cost of plain chocolate per pound is $3.50, so the cost of x pounds of plain chocolate is 3.50x dollars.
The cost of durian per pound is $15.75, so the cost of x pounds of durian is 15.75x dollars.
To ensure the cost does not exceed $4.50 per pound, we set up the inequality:
3.50x + 15.75x ≤ 4.50 x 216.
Combining like terms:
19.25x ≤ 972.
Dividing both sides by 19.25:
x ≤ 50.45.
Since we cannot have a fraction of a pound, we round down to the nearest whole number.
Therefore,
The number of pounds of durian needed to produce 216 pounds of durian-flavored chocolate bars is 50 pounds.
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Pqr and qrs are triangle calculate the length of qs give your answer to 3 sf length PQ is 11cm angle qpr is 27°
The length of QS to 3 significant figures is 26.9 cm. QS is the side of the triangle that is adjacent to the angle of 27°.
What is an adjacent angle?An adjacent angle is an angle that shares a common side and a common vertex with another angle. Adjacent angles are commonly seen when two lines intersect, forming four angles.
QS is the side of the triangle that is adjacent to the angle of 27°. To calculate the length of this side, we can use the Law of Sines. The Law of Sines states that for any triangle with sides a, b and c and angles A, B and C respectively, the following equation holds true:
a/sin A = b/sin B = c/sin C
Therefore, for our triangle, we can use the equation as follows:
11/sin 27° = QS/sin 90°
Rearranging this equation, we can solve for QS:
QS = (11/sin 27°) x sin 90°
QS = 26.9 cm
Therefore, the length of QS to 3 significant figures is 26.9 cm.
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pls help! i completely forgot how to do this
8 1/7 - 3 5/7
step 1: convert to improper fraction
57/7 - 26/7
step 2: subtract numerators
31/7
step 3: change to a mixed number
4 3/7
Question
The table shows the water level (in inches) of a reservoir for three months compared to the yearly average. Is the water level for the three-month period greater than or less than the yearly average? Explain.
Thanks!
In the three-month period, the water level was 6.5 inches, 6.3 inches, and 6.7 inches, respectively. This is lower than the yearly average of 7.2 inches
What does water level mean?Water level is a term used to describe the height of a body of water, usually in reference to an ocean, lake, river, or other body of water. It can also refer to the height of the water above sea level or other reference points.
The table indicates that the water level of the reservoir for the three-month period is lower than the yearly average. This can be seen by comparing the data in the table.
This could be due to a number of factors, including decreased precipitation and increased evaporation during the three-month period.
Ultimately, the data shows that the water level of the reservoir for the three-month period is lower than the yearly average. This could be a cause for concern in the long-term, as the water level of the reservoir could become too low to sustain local populations and ecosystems in the area.
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W.7 Power rule RWY Recommendations Simplify. Express your answer using exponents. (n^(-3)p^(12))^(-10) Submit
Simplifying the exponents gives us n^(30)p^(-120) and this is our final simplified answer, expressed using exponents.
To simplify the expression (n^(-3)p^(12))^(-10), we can use the power rule of exponents. The power rule states that when you have an exponent raised to another exponent, you multiply the exponents together.
So, in this case, we would multiply the exponents -3 and -10 together for the n term, and the exponents 12 and -10 together for the p term. This would give us:
n^((-3)*(-10))p^((12)*(-10))
Simplifying the exponents gives us:
n^(30)p^(-120)
And this is our final simplified answer, expressed using exponents.
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how to Find the object's acceleration when it changes direction.
Calculate acceleration using this equation: acceleration = delta v / time. expressions To solve for acceleration, enter the values you calculated for delta v and the amount of time it took the object to change directions.
what is expression ?Multiplying, dividing, adding, and subtracting are all mathematical operations. As an example, consider the following expression: Expression, mathematics, and a numeric value Numbers, parameters, and functions are the components of an expression in mathematics. Using opposing words and phrases is possible. An expression, sometimes referred to as an algebraic expression, is any mathematical statement that includes variables, numbers, and a mathematical action between them. For instance, the expression 4m + 5 is made up of the expressions 4m and 5, as well as the variable m from the previous equation, all of which are separated by the mathematical symbol +.
An object's acceleration adjusts together with its direction. You may use the next several stages to get the object's acceleration at this point:
Calculate the object's initial and ultimate velocities before and after a direction change.
Subtract the end velocity from the beginning velocity to determine the change in velocity (delta v). This will reveal how much the velocity has changed.
Establish the time difference. This is the amount of time it takes for the velocity to switch from one direction to the other.
Calculate acceleration using this equation: acceleration = delta v / time. To solve for acceleration, enter the values you calculated for delta v and the amount of time it took the object to change directions.
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Q1: What percent of males drive sports cars?
Q2: What percent of all drivers are male?
Q3: What percent of sports car drivers are male?
Q4: are question 1 and question 3 the same? (yes or no)
(1) The percentage of males that drive sports cars is 46.43 %.
(2) The percentage of all drivers that are male is 25 %.
(3) The percentage of sports car drivers that are male is 46.43 %.
(4) Yes, question 1 and question 3 are the same.
What percent of males drive sports cars?
The percentage of males that drive sports cars is calculated as follows;
= 39 / 84 x 100%
= 46.43 %
The percentage of all drivers that are male is calculated as follows;
= 60 / 240 x 100%
= 25%
The percentage of sports car drivers that are male is calculated as;
= 39 / 84 x 100%
= 46.43 %
Thus, question 1 and question 3 are the same.
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Bill's father can paint a room in 2 hours less than it would take Bill te paint it. Working together, they can complete the job in 2 hours and 24 minutes. How much time would each require working alon
The amount of time each would require working alone is 6 hours for Bill and 4 hours for his father.
To find the time each person would require working alone, we can use the combined work rate formula: 1/t₁ + 1/t₂ = 1/t, where t₁ is the time for Bill's father, t₂ is the time for Bill, and t is the time they take working together.
We are given that t = 2 hours and 24 minutes, or 2.4 hours. We are also told that Bill's father can paint a room in 2 hours less than Bill, so t₁ = t₂ - 2.
Substituting these values into the formula, we get:
1/(t₂ - 2) + 1/t₂ = 1/2.4
Multiplying both sides by 2.4t₂(t₂ - 2) to clear the denominators gives us:
2.4t₂ + 2.4(t₂ - 2) = t₂(t₂ - 2)
Simplifying and rearranging gives us:
2.4t₂ + 2.4t₂ - 4.8 = t₂² - 2t₂
t₂² - 6.8t₂ + 4.8 = 0
Multiply the whole equation by 5 and factor.
5t₂² - 34t₂ + 24 = 0
(5t₂ - 4)(t₂ - 6) = 0
t₂ = -4/5 or t₂ = 6
Since t₂ cannot be less than 2 (because Bill's father takes 2 hours less than Bill), the only valid solution is t₂ = 6. Therefore, Bill would take approximately 6 hours to paint the room alone, and Bill's father would take approximately 4 hours (6 - 2) to paint the room alone.
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GIVING BRAINLIEST PLEASE HELP
Answer:
Step-by-step explanation:
4 - 2(1) = 2
i'm pretty sure, sorry if its wrong, pls do not report.
how i got it
4 - 2 = 2
2 x 1 = 2
4 - 2y = 2
4 - 2(1) = 2
Type the second one exactly how i did, don't put a symbol or space, just copy and paste it.
I just need the answers quick please thanks a lot ! Problems are in picture
B
-6
...................
Try Again Your answer Is Incorrect. Subtract. -(5)/(6)-(2)/(3) Write your answer in simplest form.
Subtracting -15/18 from -12/18, the answer is -3/18 in simplest form.
Subtracting two fractions with different denominators involves finding a common denominator and then subtracting the fractions.
The common denominator for (-5)/(6) and (-2)/(3) is 6*3=18.
To make the fractions have the same denominator, the numerators need to be multiplied by the denominators and then divided by the denominator.
(-5)/(6) can be rewritten as -(5*3)/(6*3)=-15/18
(-2)/(3) can be rewritten as -(2*6)/(3*6)=-12/18
Subtracting -15/18 from -12/18, the answer is -3/18 in simplest form.
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Prices are reduced by 10%, Natallie buys a pair of shoes for £54, what was the original price?
The original price of the given pair of shoes is; £59.4
It is known the original price is:
OP=(100+DP)/100X.... (i), where,
OP = Original Price
CP = Cost Price = £54,
DP = Discount percentage = 10%.
Substituting the values in equation (i), we get:
OP = (100+10)/100X54 ,
Or, OP = 110/100x54 = 59.4.
Therefore the Original Price of the Pair of Shoes is £59.4.
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Epidemiologists investigate a variety of public health problems or events, not just related to infectious diseases, but also environmental exposures, injuries, etc. Provide three specific examples of public health problems that may be investigated.
Answer: Here are three specific examples of public health problems that epidemiologists may investigate:
Obesity: Epidemiologists may investigate the causes and risk factors for obesity, as well as the prevalence and trends in obesity rates over time. They may also evaluate the effectiveness of interventions to prevent or treat obesity, such as diet and exercise programs, policy changes, or medical treatments.
Environmental exposures: Epidemiologists may investigate the health effects of exposure to environmental toxins, such as air pollution, lead, or pesticides. They may evaluate the risks associated with exposure to these toxins, identify populations that are particularly vulnerable, and assess the effectiveness of interventions to reduce exposure or mitigate health effects.
Injury prevention: Epidemiologists may investigate the causes and risk factors for injuries, such as motor vehicle crashes, falls, or firearm injuries. They may identify populations that are at higher risk for injuries, evaluate the effectiveness of injury prevention programs or policies, and develop strategies to reduce the incidence or severity of injuries.
Step-by-step explanation:
Factored completely, the expression 3x^(2)-3x-18 is equivalent to A. 3(x^(2)-x-6) B. 3(x-3)(x+2) C. (3x-9)(x+2) D. (3x+6)(x-3)
The factored form of the expression [tex]3x^2 - 3x - 18[/tex] is B) 3(x-3)(x+2).
To factor a quadratic expression like this, we want to find two numbers that multiply to the constant term (-18) and add up to the coefficient of the x term (-3). In this case, those numbers are -3 and 6, because (-3) * 6 = -18 and (-3) + 6 = 3.
Then, we can use those numbers to split the middle term into two terms:
[tex]3x^2 - 3x - 18 = 3x^2 - 9x + 6x - 18[/tex]
[tex]= 3x(x-3) + 6(x-3)[/tex]
[tex]= (x-3)(3x+6)[/tex]
[tex]= 3(x-3)(x+2)[/tex]
So the factored form of the expression is 3(x-3)(x+2), which is equivalent to choice B.
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1. Give an example of independent random variables X and Y such that P(X < Y ) = 1.
2. Suppose that 50 people order food at McDonald’s over a certain time period. Each person, independently of all others, orders a Quarter Pounder with probability p1 = 0.2. Assume further that if someone orders a Quarter Pounder, that person also orders a Diet Coke with probability p2 = 0.3. Let X denote the number of people ordering both a Quarter Pounder and a Diet Coke. Determine the PMF of X.
P(X = 1) = (50 choose 1) * (0.06)^1 * (0.94)^49 ≈ 0.198
And so on for the other values of X.
An example of independent random variables X and Y such that P(X < Y) = 1 is X = 0 and Y = 1. Since X is always less than Y, the probability that X is less than Y is 1.
The probability of a person ordering both a Quarter Pounder and a Diet Coke is p1*p2 = 0.2*0.3 = 0.06. Since each person orders independently of all others, the number of people ordering both a Quarter Pounder and a Diet Coke follows a binomial distribution with parameters n = 50 and p = 0.06. Therefore, the PMF of X is:
P(X = x) = (50 choose x) * (0.06)^x * (0.94)^(50-x)
for x = 0, 1, ..., 50.
Using the above formula, we can calculate the probability of X taking on any value between 0 and 50. For example, the probability of X = 0 is:
P(X = 0) = (50 choose 0) * (0.06)^0 * (0.94)^50 = 0.94^50 ≈ 0.076
The probability of X = 1 is:
P(X = 1) = (50 choose 1) * (0.06)^1 * (0.94)^49 ≈ 0.198
And so on for the other values of X.
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Show me the rough calculation of
Calculate the value of angle A and C of ∆ABC, Where b=1435cm, a=782cm and B=115.6°
Therefore, the value of angle A is approximately 76.16°, and the value of angle C is approximately 8.24°.
What is triangle?A triangle is a closed two-dimensional shape with three straight sides and three angles. It is the simplest polygon that can be formed in Euclidean geometry, and it is widely studied in mathematics and geometry. Triangles can be classified based on their sides and angles. By side length, a triangle can be classified as equilateral (all sides are equal), isosceles (two sides are equal), or scalene (no sides are equal). By angle measure, a triangle can be classified as acute (all angles are less than 90 degrees), obtuse (one angle is greater than 90 degrees), or right (one angle is exactly 90 degrees). Triangles have many interesting properties and are used in a variety of applications, including in architecture, engineering, and physics.
Here,
Sure, I can help you with that! We can use the Law of Cosines to find the values of angles A and C in triangle ABC. The Law of Cosines states that:
c² = a² + b² - 2ab cos(C)
where c is the side opposite angle C.
First, let's find the value of side c:
c² = a² + b² - 2ab cos(C)
c² = (782)² + (1435)² - 2(782)(1435) cos(115.6°)
c² = 613524 + 2055225 - 2238015.52
c² = 594733.48
c = √(594733.48)
c ≈ 771.1 cm
Now, we can use the Law of Cosines again to find angle A:
cos(A) = (b² + c² - a²) / 2bc
cos(A) = (1435² + 771.1² - 782²) / (2 * 1435 * 771.1)
cos(A) = 0.2354
A = cos⁻¹*²³⁵⁴⁾
A ≈ 76.16°
Finally, we can find angle C by using the fact that the angles in a triangle add up to 180°:
C = 180° - A - B
C = 180° - 76.16° - 115.6°
C ≈ 8.24°
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23. Without using a calculator, evaluate the following expressions. Show your substitutions. a. Substitutex=4into the expressionx−2b. SubstituteB=−5into the expressionB−2c. Substitutew=−2into the expression−w−4d. Substitutey=−3into the expression(y)4e. Substitutet=4into the expression−t2f. SubstituteR=−10into the expression−R−3
The evaluated expressions are 2, -7, -2, -12, -8, and 7.
To evaluate the expressions without using a calculator, we need to substitute the given values of the variables into the expressions and simplify.
a. Substitutex=4into the expressionx−2
=4-2
=2
b. SubstituteB=−5into the expressionB−2
=-5-2
=-7
c. Substitutew=−2into the expression−w−4
=-(-2)-4
=2-4
=-2
d. Substitutey=−3into the expression(y)4
=(-3)4
=-12
e. Substitutet=4into the expression−t2
=-(4)2
=-8
f. SubstituteR=−10into the expression−R−3
=-(-10)-3
=10-3
=7
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find the tsa of two hemispherical domes if the base radius of each is 0.7m
The total surface area of the two hemispherical domes is 6.16m^2
What is the total surface area of the hemispherical domesTo find the TSA (total surface area) of two hemispherical domes, we need to first find the surface area of one hemispherical dome, and then multiply it by 2.
The surface area of one hemispherical dome can be found using the formula:
SA = 2πr^2
where r is the radius of the base of the hemisphere.
Given that the base radius of each hemisphere is 0.7m, the total diameter of each hemisphere is 1.4m (since the diameter is twice the radius), and therefore the radius is 0.7m.
So the surface area of one hemisphere is:
SA = 2π(0.7m)^2
= 3.08m^2
Therefore, the TSA of two hemispherical domes is:
TSA = 2 × SA
= 2 × 3.08m^2
= 6.16m^2
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how do I do this I'm confused truly can u help me
Answer:
1st one: (x-7)
2nd: (-x+7)
3rd: (5x+3)
Step-by-step explanation:
1: you subtract like terms so first you do 3x-2x which is x and do -2-5 and get -7 so its (x-7)
2: do 2x-3x and get (-x) and then do 5-(-2) and get 7 so the answer is (-x+7)
3: first do 2x+3x and get 5x and then do 5+(-2) and get 3 so the answer is (5x+3)
Answer:
Step-by-step explanation:
( 3x - 2 ) - ( 2x + 5 ) = 3x - 2 - 2x - 5 = x - 7
( 2x + 5 ) - ( 3x - 2 ) = 2x + 5 - 3x + 2 = - x + 7
( 2x + 5 ) + ( 3x - 2 ) = 2x + 5 + 3x - 2 = 5x + 3