Answer:
x = -2
Step-by-step explanation:
5x−3−7(x−2)=2(4x+3)−3(2x−4)+1
5x+−3+(−7)(x)+(−7)(−2)=(2)(4x)+(2)(3)+(−3)(2x)+(−3)(−4)+1(Distribute)
5x+−3+−7x+14=8x+6+−6x+12+1
(5x+−7x)+(−3+14)=(8x+−6x)+(6+12+1)(Combine Like Terms)
−2x+11=2x+19
−2x+11=2x+19
Step 2: Subtract 2x from both sides.
−2x+11−2x=2x+19−2x
−4x+11=19
Step 3: Subtract 11 from both sides.
−4x+11−11=19−11
−4x=8
Step 4: Divide both sides by -4.
−4x /−4 = 8/ −4
x=−2
Suppose that an investment has 0.5% chance of a loss of $10
million and a 99.5% chance of a loss of $1 million. What is the
Value-at-Risk (VaR) for this investment when the confidence level
is 99%
To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).
Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:
Loss Amount | Probability
$10 million | 0.5%
$1 million | 99.5%
To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.
The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.
Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.
The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.
To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.
Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:
VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)
VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)
VaR = $50,000 + $995,000
VaR = $1,045,000
Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
I believe that is the diameter.
Answer:
C. Diameter
Step-by-step explanation:
Circumference: The distance around the edge outside of the circle.
Diameter: The distance across the circle that goes through the center.
Radius: The distance halfway across the circle, which is half the diameter.
Center: The point or dot in the middle of a circle.
solve the equation, and enter the solutions from least to greatest. If there is only one solution, enter “n.a” for the second solution. (picture of equation listed below)
Answer
x = 1 or x = n.a.
Step-by-step explanation
\(\frac{1}{x}+\frac{1}{x-10}=\frac{x-9}{x-10}\)Multiplying by (x - 10) at both sides of the equation:
\(\begin{gathered} (x-10)(\frac{1}{x}+\frac{1}{x-10})=\frac{x-9}{x-10}(x-10) \\ \text{ Distributing and simplifying:} \\ \frac{x-10}{x}+\frac{x-10}{x-10}=x-9 \\ \frac{x-10}{x}+1=x-9 \end{gathered}\)Multiplying by x at both sides of the equation:
\(\begin{gathered} x(\frac{x-10}{x}+1)=x(x-9) \\ \text{ Distributing and simplifying:} \\ \frac{x(x-10)}{x}+x=x^2-9x \\ x-10+x=x^2-9x \\ 2x-10=x^2-9x \end{gathered}\)Subtracting 2x and adding 10 at both sides of the equation:
\(\begin{gathered} 2x-10-2x+10=x^2-9x-2x+10 \\ 0=x^2-11x+10 \end{gathered}\)We can solve this equation with the help of the quadratic formula with the coefficients a = 1, b = -11, and c = 10, as follows:
\(\begin{gathered} x_{1,2}=\frac{-b\pm{}\sqrt{b^2-4ac}}{2a} \\ x_{1,2}=\frac{11\pm\sqrt{(-11)^2-4\cdot1\operatorname{\cdot}10}}{2\operatorname{\cdot}1} \\ x_{1,2}=\frac{11\pm\sqrt{81}}{2} \\ x_1=\frac{11+9}{2}=10 \\ x_2=\frac{11-9}{2}=1 \end{gathered}\)The solution x = 10 is not possible because it makes zero the denominator in 2 of the rational expressions of the original equation. In consequence, it must be discarded.
Put these steps in order to solve this equation
2(2x+8)+9=37
1.) the solution is x=3
2.)subtract 25 from both sides
3.) multiply 2 by 2x and 8
4.) add the like terms on the left hand side to get 25
5.) divided by 4 on both sides
Answer:
2(2x+8)+9=37
4x+16+9=37
4x+25=37
4x=37‐25
4x=12
x=12/4
x=3
Answer:‐ (1)
The solution is x = 3
The box-and-whisker plot below represents some data set. What is the value of the second quartile?
Answer:
second quartile Q₂ = 60
Step-by-step explanation:
the second quartile Q₂ is positioned at the right side of the box, that is
Q₂ = 60
How do I write a phrase in words as an algebraic expression for 8/d?
Answer:
The quotient of 8 and d.
Step-by-step explanation:
I hope this helps you have a wonderful day! :D
Charlotte can't wait to read the newest issue of her favorite comic, The Notorious Ninja, so
she plans to bike 3 miles to the comic book store after school. If Charlotte can usually bike 12
miles in an hour, how many minutes will it take her to get there?
Answer:
The answer is 15
Step-by-step explanation:
What is the gradient of the line y = -7x + 13?
Answer:
y = 7 x - 13. y=7x−13. Swap sides so that all variable terms are on the left hand side. Swap sides so that all variable terms are on the left hand side.7x-13=y. 7x−13=y. Add 13 to both sides. ... 7x=y+13. 7x=y+13. Divide both sides by 7. ... \frac{7x}{7}=\frac{y+13}{7} 77x=7y+13 Dividing by 7 undoes the multiplication by 7.
Step-by-step explanation: hope this helps
Answer:
-7
Step-by-step explanation:
A plane is heading 24° west of south. After 250 km the pilot changes his direction to 68° west of south. After he has travelled 520 km further, find the distance and bearing from its starting point. (15 marks)
The distance and bearing from the starting point are 766.38 km and 29.63° south of west respectively.
Given the following information, the plane is heading 24° west of south. After traveling 250 km, the pilot changes his direction to 68° west of south. After traveling 520 km further, we have to find the distance and bearing from the starting point.Let us assume that the plane travels first 250 km while moving 24° west of south and then travels 520 km further while moving 68° west of south. Now, we can calculate the horizontal displacement and vertical displacement by using sine and cosine formulas.
Let us assume that the angle between the plane's path and the southern direction is θ. Then we have;North displacement, N = -250 sin(24) - 520 sin(68)N = - 157.74 - 489.72N = -647.46 kmWest displacement, W = 250 cos(24) + 520 cos(68)W = 214.65 + 164.14W = 378.79 km Therefore, the distance from the starting point is;D = √(N²+W²)D = √(647.46² + 378.79²)D = √(588758.95)D = 766.38 km And the angle that the line from the starting point to the plane makes with the south is given by;θ = tan⁻¹(W/N)θ = tan⁻¹(378.79/647.46)θ = 29.63° south of west Therefore, the distance and bearing from the starting point are 766.38 km and 29.63° south of west respectively.
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After 3 days a sample of radon-222 has decayed to 58% of its original amount. a) What is the half life of radon-222?
The half-life of radon-222 is approximately 3.84 days. We can find it in the following manner.
The half-life of a radioactive substance is the amount of time it takes for half of the initial amount of the substance to decay.
We can use the fact that the sample of radon-222 has decayed to 58% of its original amount after 3 days to determine its half-life.
Let N0 be the original amount of radon-222 and N(t) be the amount remaining after time t. We know that:
N(3) = 0.58N₀
We can use the formula for radioactive decay:
\(N(t) = N₀ * (1/2)^(t/h)\)
here h is the half-life.
Substituting in N(3) and simplifying:
\(0.58N₀ = N₀ * (1/2)^(3/h)\)
0.58 = (1/2)^(3/h)
Taking the natural logarithm of both sides:
\(ln(0.58) = ln[(1/2)^(3/h)]\)
ln(0.58) = (3/h) * ln(1/2)
h = -3 / ln(1/2) * ln(0.58)
Using a calculator, we get:
h ≈ 3.84 days
Therefore, the half-life of radon-222 is approximately 3.84 days.
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4(7-x)+5x<-3
Please help
Answer:
x<−31
Step-by-step explanation:
Answer:
i am pretty sure the answer will be
Step-by-step explanation:
x>8
Which equation correctly demonstrates the distributive property?
A. 7(6c - 4d) = 14cd
B. 30(3a + 2b) = 90a + 60b
C. 16(3j - 4k) = 48j - 4k
D. 4(2f + 5g) = 28fg
Answer:
B.
Step-by-step explanation:
b is the correct answer
Write a function called count characters that counts the number of times each character appears in a user-supplied string s
This output shows the counts of each character in the string "hello world". The letter 'l' appears 3 times, the letter 'o' appears 2 times, and so on.
Here's an example Python function called count_characters that counts the number of times each character appears in a user-supplied string s:
def count_characters(s):
Given a string s, returns a dictionary containing the count of each character in the string.
char_count = {}
for char in s:
if char in char_count:
char_count[char] += 1
else
char_count[char] = 1
return char_count
This function creates an empty dictionary called char_count to store the counts of each character. It then loops through each character in the string s and checks if it's already in the char_count dictionary. If it is, it increments the count for that character. If it's not, it adds the character to the dictionary with a count of 1. Finally, the function returns the char_count dictionary.
You can call this function like this:
string = "hello world"
char_count = count_characters(string)
print(char_count)
Output:
python
{'h': 1, 'e': 1, 'l': 3, 'o': 2, ' ': 1, 'w': 1, 'r': 1, 'd': 1}
This output shows the counts of each character in the string "hello world". The letter 'l' appears 3 times, the letter 'o' appears 2 times, and so on.
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The table shows how many hours Sara spent at several activities one Saturday.
Activity "Hours
Soccer practice 2
Birthday party 3
Science project 1
What is the ratio of hours spent at soccer practice to hours spent at a birthday party?
Choose 1 answer:
1 for every 2
B
2 for every 1
2 for every 3
3 for every 2
Answer:
Its2 for every 3
Step-by-step explanation:
need help omg I’ve been stuck
Answer:
x = -2.75
Step-by-step explanation:
:D
14 - 3 = 11
11 / -4 = -2.75
Which ordered pair is a solution of the equation? y = 7 x − 3 y=7x−3
Answer:
(1,4)
Step-by-step explanation:
Which ordered pair is a solution of the equation? y = 7 x − 3
a. (1,4) b. (-1,-4) c. both d. neither
Solution
y=7x-3
Solve by trying each ordered pair
a. (1,4)
x=1, y=4
Substituting the value of x and y into the equation
y=7x-3
4=7(1)-3
4=7-3
4=4
This is a true statement
b. (-1,-4)
x=-1, y=-4
Substitute the value into the equation
y=7x-3
-4=7(-1)-3
-4= -7-3
-4= -11
This is not a true statement
This true statement is when x=1 and y=4
So, the ordered pair (1, 4) is the solution
What is the value of the expression below? 5(−4)−(−10+5)
Answer:
-15
Step-by-step explanation:
Answer:
The answer is -5. I hope this is right.
5(-4)-(-10+5)
-20+15
= -5
16 15 5 209 parking charges at superior parking garage are $5.00 for the first hour and $1.50 for each additional 30 minutes. if margo has $12.50, what is the maximum amount of time she will be able to park her car at the garage?
margo will able to park the car for 6 hrs according to constraints given
What is linear equation in one variable and how to solve one?
Linear equation in one variable is an equation of degree one and having one variable. and to solve the linear equation we separate the constants and variable and find the value of variable.
We are given that,
Parking charges at superior parking garage are $5.00 for the first hour and $1.50 for each additional 30 minutes.
Margo had $12.5
Let the number of hours she can park be 'x'
For each hour she has to pay additional $1.50
Hence the equation becomes
5+1.5x=12.5
1.5x=7.5
x=5
Hence she can park the car for the 6 hours
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hi im confused with this one question its about properties and exponents on math i really need help:(
Which diagram shows the correct solution for 420 divided by 15 = ?
The probability of an event happening is 5/9 . What are the odds in favor of the event happening?
The odds in favor of the event happening are 5 to 4.
We have,
To find the odds in favor of an event happening, we use the formula:
Odds in favor = Probability of the event happening / Probability of the event not happening
In this case,
The probability of the event happening is 5/9.
The probability of the event not happening is 1 - 5/9, which simplifies to 4/9. So the odds in favor of the event happening are:
Odds in favor
= 5/9 / 4/9
= 5/4
Therefore,
The odds in favor of the event happening are 5 to 4.
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Help fast!
so I heard an answer for 9 = 8n n = __ that was 9/8 and the mixed was 11/8 I am so confused bc it doesn't say to simply or not and someone says they thought it said 11/8 and got wrong so I need help what do I put?-
want to come up down to gotta amen Cheech jjk
The width of a 2-by-4 piece of wood is actually 3 1/2 inches. Find the total width of 30 2-by-4s laid side by side. Simplify your answer.
This is equivalent to 8.75 feet
====================================================
Explanation:
3 & 1/2 inches = 3.5 inches since 1/2 = 0.5
30 boards of this width total to 30*3.5 = 105 inches
This is equivalent to 105/12 = 8.75 feet. I'll leave the answer in inches since the original unit is inches. I would ask your teacher for further clarification.
Variables y and x have a proportional relationship, and y = 21 when x = 14.
What is the value of x when y = 12?
Enter your answer in the box. please help me
Answer: 18
We know that y is 1.5 times x, so when x = 12, y = (1.5)(12)=18.
3.5 divided by 470.75 with solution.
Answer:
0.00743494
Step-by-step explanation:
1.) First start by writing down your equations.
It should look like this: 3.5/470.75
2.) Next you want to move the decimal place equally on both sides.
It should look like this: .00350 divided by .47075
3.) Lastly solve by seeing how many times 47075 goes into 3.5 which results in 0.00743494
Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Body Temperatures (in F) of adult males 98.2 97.8 99.2 98.1 96.4 96.4 98.9 97.5 97.1 98.0 96.5 98.2 96.5 96.6 98.4 96.9 97.0 96.4 99.2 97.6
On solving the provided question, we cans ay that by standard deviation, \(SE = 0.1590 (approx.)\)
What is standard deviation?Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed. Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed.
By sample standard deviation, we mean standard error. Hence, we have that:
Therefore, Standard deviation\(= 0.6929891\)
The sample size \((n) = 19.\)
Hence:
\(SE = 0.1589826.\\ SE = 0.1590 (approx.)\)
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how many solutions does 1-5h=-6h-3 have
Answer:
One solution, h=-4.
Step-by-step explanation:
1-5h=-6h-3
1-5h-(-6h)=-3
1-5h+6h=-3
1+h=-3
h=-3-1
h=-4
Solve the equation. − 3 ( 3 − 4 x ) = 5 ( x − 1 ) + 7 ( x + 2 ) Show each step you used to solve the equation. Determine whether the equation has one solution, no solution, or infinitely many solutions. Explain your reasoning.
Answer:
0=18
Step-by-step explanation:
-3(3 - 4x) = 5(x - 1) + 7(x + 2)
-3( -4x + 3) = 5(x - 1) + 7(x + 2)
A die is tossed. If the number rolled is greater than 2, what is the probability that the number rolled is 3?
Answer:
1/4
Step-by-step explanation:
The probability that the number rolled is 3 is, 1/4.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A die is tossed.
And, The number rolled is greater than 2.
Here, The number rolled is greater than 2.
Hence, Total outcomes are 3, 4, 5, 6
So, The probability that the number rolled is 3 is,
⇒ 1 / 4
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Mr. Mikie hired 3 students to deliver advertising fliers. He paid each student the same amount. Let x be the total amount the students earned. Write an expression that tells how much 1 student earned.
Answer:
$x/3
Step-by-step explanation: