Answer:
KI = 4.47
IT = 6.32
Step-by-step explanation:
KI
2²+4² = 4+16 = 20
The square root of 20 is 4.47
IT
2²+6² = 4 + 36 = 40
The square root of 40 is 6.32
A company has 6000 arrivals of Internet traffic over a period of 13,710 thousandths of a minute. Let the random variable x represent the number of such Internet traffic arrivals in one thousandth of a minute. It appears that these Internet arrivals have a Poisson distribution. If we want to use the formula P(x)= μx•e−μ x! to find the probability of exactly 3 arrivals in one thousandth of a minute, what are the values of μ, x, and e that would be used in that formula?
The parameters to the Poisson distribution, to find the probability of exactly 3 arrivals in one thousandth of a minute, are given as follows:
μ = 6000/13719.x = 3.e = 2.71828.What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are listed and explained as follows:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number\(\mu\) is the mean in the given interval or range of values of the input parameter.A company has 6000 arrivals of Internet traffic over a period of 13,710 thousandths of a minute, hence the mean of the distribution is given as follows:
μ = 6000/13719.
The parameter x represents the number of arrivals in each thousandth of a minute, hence it is given as follows:
x = 3.
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Type missing numbers in this sequence
Answer:
-43 and -73
Step-by-step explanation:
gap between -23 and -33 is 10.
so we expect next one to be -43.
then we have -53, followed by -63.
then another gap of 10, to give -73.
Zebina purchased an entertainment center for \$2.798 using a 12-month deferred payment plan with an interest rate of 21.95% . she did not make any payments the deferment period. what will the cost of the entertainment center be if she must pay it off within six years after the deferment period?
The total cost of the entertainment center after six years, if Zebina must pay it off, would be $9,203.19.
When a person purchases an item using a deferred payment plan with interest, the total cost of the item will be greater than the original purchase price due to the added interest.
To calculate the total cost of the entertainment center after six years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the total cost, P is the original purchase price, r is the annual interest rate (expressed as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $2,798, r = 0.2195 (21.95% expressed as a decimal), n = 1 (because the interest is compounded annually), and t = 6. Plugging these values into the formula gives:
A = 2798(1 + 0.2195)^6
A = $9,203.19
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PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer: You can put any number in a/b because 100 is at least greater!
Step-by-step explanation:
Hope this helps, if not... good luck!
Si tienes 2 jarras iguales con agua una tiene 1/2 y la otra 1/3 de litro que cantidad de agua se tendrán que n total
La cantidad total de agua es \(\frac{5}{6}\) de litro.
Nota - El enunciado reporta errores tipográficos. La forma correcta es descrita a continuación:
Si tienes 2 jarras iguales con agua una tiene 1/2 de litro y la otra 1/3 de litro. ¿Qué cantidad de agua se tendrán en total?
Tenemos dos jarras de igual capacidad pero llenadas con diferentes volúmenes, el total es la suma de los volúmenes ocupados de cada recipiente, es decir:
\(x = \frac{1}{2}\,L + \frac{1}{3}\,L\)
\(x = \frac{5}{6}\,L\)
La cantidad total de agua es \(\frac{5}{6}\) de litro.
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Find the value of x that makes 25x^2 + 70x + c a perfect square trinomial
The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.
To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.
A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.
In this case, a = 25, so b = (1/2)(70) = 35.
Expanding (ax + b)^2, we have:
(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2
= 25x^2 + 70x + 1225.
Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.
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Eight students in a small class made the test scores shown in the table. What was the mean absolute deviation for the class?
student Score
James- m
Lou- 2m
Rob- 3m
teri- 4m
shawn- 4m
Skip- 3m
art- 2m
Jim- m
Answer:
-5m/2
Step-by-step explanation:
-m+ (-2m) +(-3m)+(-4m) +(-4m)+(-3m)+(-2m)+(-m)/8
-m-2m-3m-4m-4m-3m-2m-m/8
-20m/8
-5m/2
If ray US is an angle bisector of ∠RUT, find m∠RUT. A. m∠RUT = 80° B. m∠RUT = 40° C. m∠RUT = 20° D. m∠RUT = 10°
Answer:
Answer: m<RUT=80
Step-by-step explanation:
took the test
If ray US is an angle bisector of ∠RUT, m∠RUT = 80°.
What is a bisector in the triangle?
The angle bisector of an angle of a triangle is a straight line that divides the angle into two congruent angles. The three angle bisectors of the angles of a triangle meet in a single point, called the incenter.
What is the angle bisector formula?According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures.
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20 points!
I need help!
I will also be doing a 50 point giveaway later!
Answer:
1) 9
2)5.85
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mark gave 1.80 tip which was 20% of the meal
1.80...................20%
? ........................100%
the meal was 9 dollars , 1.80*5=9
second problem
finance charge was 15% which amounts 39.00 dollars
if 15% is 39 dollars
5% is 39/3=13
100% is 13*20=260
260 was the original price
A person invests 6000 dollars in a bank. The bank pays 6.5% interest compounded semi-annually. To the , how long must the person leave the money in the bank until it reaches 15100 dollars?
Answer:
14.43 years
Step-by-step explanation:
FV = PV (1+i)^n
FV = future value = 15100 PV = present value = 6000
i = period interest in decimal = .065/2 = =.0325
n = periods = the question
15100 = 6000(1+.0325)^n
solve for n = 28.86 periods or 14.43 years (each period is 6 mos)
An increase in the rate of inflation will: Multiple Choice increase the nominal interest rate while lowering the real interest rate. increase the real interest rate but not affect the nominal interest rate. decrease both the real and the nominal rate of interest. increase both the real and the nominal rate of interest. increase the nominal interest rate but will not affect the real interest rate.
An increase in the rate of inflation will increase the nominal interest rate while lowering the real interest rate.
When the rate of inflation rises, it affects both the nominal and real interest rates. The nominal interest rate is the stated or observed interest rate, while the real interest rate is adjusted for inflation and represents the purchasing power of the interest earned or paid. Inflation erodes the purchasing power of money over time.
As inflation increases, lenders and investors demand higher nominal interest rates to compensate for the expected loss in purchasing power. However, while the nominal interest rate rises, the real interest rate, which takes inflation into account, decreases because the purchasing power of the interest earned or paid is reduced.
In summary, an increase in the rate of inflation will result in an increase in the nominal interest rate but a decrease in the real interest rate due to the erosion of purchasing power caused by inflation.
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carlos is using a hose to fill a bucket. the path of the water can be represented by the function f(t) where f(t) represents the height of the water in inches and t represents the time in seconds.
Answer:
The function represents the height of the water in the bucket
Step-by-step explanation:
Given
\(f(t) = -t^2 + 4t\)
Required
State what the function represents
From the question, we understand that t represents the time spent while the function illustrates the water level in the bucket.
This implies that f(t) calculates the height of the water in the bucket, given the value of time (t)
Silicone implant augmentation rhinoplasty is used to correct congenital nosedeformities. The success of the procedure depends on various biomechanicalproperties of the human nasal periosteum and fascia. The article "Biomechnics inAugmentation Rhinoplasty" reported that for a sample of 10 (newly deceased)adults, the mean failure strain (%) was 26.0, and the standard deviation was 3.5.(p. 277 #35)a. Assuming a normal distribution for failure strain, estimate true average strain ina way that converys information about precision and reliability.b. Predict the strain for a single adult in a way that conveys information aboutprecision and reliability. How does the prediction compare to the estimatecalculated in part (a)?
In Asian nations, augmentation rhinoplasty is one of the most often performed cosmetic operations, with silicone implants being the most frequently utilized component.
Despite potential benefits, the use of alloplastic materials in rhinoplasty is frequently avoided in Western nations due to worries about the possibility of infection and implant extrusion. The silicone augmentation rhinoplasty has become a widespread operation in Asia due to the region's cumulative experience with long-term positive results.
Surgical technique, implant design, and surgeon expertise all have a substantial impact on the likelihood of complications with silicone implants. If precautions are taken, silicone implants can be used safely for nasal dorsal augmentation.
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Does (3,1) satisfy 4x + 5y + 19
Answer:
No
Step-by-step explanation:
4*3 = 12
5*1 = 5
12 + 5 = 17
17 = 19 <-- doesn't make sense
Round 20282.93 to the nearest thousand
The number after rounding off the given decimal number is
20283.
What is rounding of a number?Rounding means making a number simpler but keeping its value close to what it's original value. The result is less accurate, but easier to use.
Given is the decimal number as -
20282.93
The given number is -
20282.93
20282.9 {3 < 5}
20283 {9 > 5}
Therefore, the number after rounding off the given decimal number is
20283.
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What is the solution set?
The solution set for the inequality is (-∝, ∝)
How to determine the solution set for the inequalityfrom the question, we have the following parameters that can be used in our computation:
|13d - 6| + 7 > 7
Subtract 7 from both sides of the inequality
So, we have
|13d - 6| > 0
This means that the solution set of d is (-∝, ∝)
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Question
What is the solution set |13d - 6| + 7 > 7?
If statement p and q is true determine all combination of truth values of r and s such that the statement p implies negation r or s and negation s implies q is true
The combination of truth values for r and s that satisfy the given conditions and make the statement true can be any of the four combinations mentioned above.
To determine the combination of truth values for variables r and s that make the statement true, let's break down the given information step by step.
The statement "p implies negation r or s" can be represented as "p → ¬r ∨ s." This means that if p is true, then either ¬r or s must be true (or both).
The statement "negation s implies q" can be represented as "¬s → q." This means that if ¬s is true, then q must also be true.
Combining these two statements, we can conclude that if p is true, then either ¬r or s must be true (or both), and if ¬s is true, then q must also be true.
To find all possible combinations of truth values for r and s, we can create a truth table:
| p | q | r | s | p → ¬r ∨ s | ¬s → q |
|-----|-----|-----|-----|------------|--------|
| T | T | T | T | F | T |
| T | T | T | F | T | T |
| T | T | F | T | T | T |
| T | T | F | F | T | T |
| T | F | T | T | F | F |
| T | F | T | F | T | T |
| T | F | F | T | T | T |
| T | F | F | F | T | T |
| F | T | T | T | T | T |
| F | T | T | F | T | T |
| F | T | F | T | T | T |
| F | T | F | F | T | T |
| F | F | T | T | T | T |
| F | F | T | F | T | T |
| F | F | F | T | T | T |
| F | F | F | F | T | T |
From the truth table, we can see that there are multiple combinations of truth values for r and s that satisfy the given conditions. Therefore, the combination of truth values for r and s that make the statement true can be any of the following:
1. r = T, s = T
2. r = F, s = T
3. r = T, s = F
4. r = F, s = F
In all these cases, the statement "p implies negation r or s and negation s implies q" is true.
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The combination of truth values for r and s that satisfy the given conditions and make the statement true can be any of the four combinations mentioned above Negation.
The combination of truth values for variables r and s that make the statement true, let's break down the given information step by step.
The statement "p implies negation r or s" can be represented as "p → ¬r ∨ s." This means that if p is true, then either ¬r or s must be true (or both).
The statement "negation s implies q" can be represented as "¬s → q." This means that if ¬s is true, then q must also be true.
Combining these two statements, we can conclude that if p is true, then either ¬r or s must be true (or both), and if ¬s is true, then q must also be true.
To find all possible combinations of truth values for r and s, we can create a truth table:
| p | q | r | s | p → ¬r ∨ s | ¬s → q |
|-----|-----|-----|-----|------------|--------|
| T | T | T | T | F | T |
| T | T | T | F | T | T |
| T | T | F | T | T | T |
| T | T | F | F | T | T |
| T | F | T | T | F | F |
| T | F | T | F | T | T |
| T | F | F | T | T | T |
| T | F | F | F | T | T |
| F | T | T | T | T | T |
| F | T | T | F | T | T |
| F | T | F | T | T | T |
| F | T | F | F | T | T |
| F | F | T | T | T | T |
| F | F | T | F | T | T |
| F | F | F | T | T | T |
| F | F | F | F | T | T |
From the truth table, we can see that there are multiple combinations of truth values for r and s that satisfy the given conditions. Therefore, the combination of truth values for r and s that make the statement true can be any of the following:
1. r = T, s = T
2. r = F, s = T
3. r = T, s = F
4. r = F, s = F
In all these cases, the statement "p implies negation r or s and negation s implies q" is true.
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Your Assignment
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. (2 points)
2. Simplify both sides. Show your work.
3. Is x = 6 a solution to the equation? Why or why not? (3 points
4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution. (3 points)
please help me!
Answer:
5(x – 3) = x + 13 with x = 6 substituted: 5(6 – 3) = 6 + 13
Simplifying both sides: 5(3) = 6 + 13
15 = 19
x = 6 is not a solution to the equation because when you substitute it, the left side of the equation (15) does not equal the right side of the equation (19).
To find a value of x that is a solution to the equation, we can start by solving for x:
5(x – 3) = x + 13
5x – 15 = x + 13
4x = 28
x = 7
So, x = 7 is a solution to the equation 5(x – 3) = x + 13. To find this solution, we first substituted x = 7 into the equation and simplified both sides to see if they were equal.
Step-by-step explanation:
30+ Points!!!
5. Solve the following inequalities.
a) 2 log3x – 2 logx3 -3 <0
Answer:
I answered your last question also
2 log3x – 2 logx3 -3 <0
\(\mathrm{Subtract\:}2\log ^3\left(x\right)\mathrm{\:from\:both\:sides}\)
\(2\log ^3\left(x\right)-2logx^3-3-2\log ^3\left(x\right)<0-2\log ^3\left(x\right)\)
\(\mathrm{Simplify}\)
\(-2logx^3-3<-2\log ^3\left(x\right)\)
\(\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\)
\(-2logx^3-3+3<-2\log ^3\left(x\right)+3\)
\(\mathrm{Simplify}\)
\(-2logx^3<-2\log ^3\left(x\right)+3\)
\(Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)\)
\(\left(-2logx^3\right)\left(-1\right)>-2\log ^3\left(x\right)\left(-1\right)+3\left(-1\right)\)
\(\mathrm{Simplify}\)
\(2lx^3og>2\log ^3\left(x\right)-3\)
\(\mathrm{Divide\:both\:sides\:by\:}2lx^3o;\quad \:l>0\)
\(\frac{2lx^3og}{2lx^3o}>\frac{2\log ^3\left(x\right)}{2lx^3o}-\frac{3}{2lx^3o};\quad \:l>0\\\)
\(\mathrm{Simplify}\)
\(g>\frac{2\log ^3\left(x\right)-3}{2lx^3o};\quad \:l>0\)
Step-by-step explanation:
Which equation represents the situation, 12 is 42% of what number?
Answer:
12 is 42% of 28.571428571429 or 28.6
Step-by-step explanation:
You have to set up proportions
Find the product. What is 67.8 x 4.5 (I have to show my work.)
Men and women aren’t equal evaluate this statement. Give some religous scriptures
Answer:
Indeed, men and women are not the same. They have structural differences in their genetic makeup that make them different and compatible with each other. In addition, they have differences in character, behavior, strength and even emotional sensitivity.
Even the scriptures themselves speak of differences between the two: according to the book of Genesis, the woman was created from the rib of Adam, the first man on earth. With this, the woman, theoretically, has one more rib than the man.
7. The population of Westville is decreasing 3.2% per year. If there are 24,806 people living in there this
year, what will the population be in 20 years?
Answer:
A total of 8926 people will be the population in 20 years
Step-by-step explanation:
Every year the population decreases by 3.2%.
This means this year, (24806 × 3.2%) will decrease the population.
24806 × 3.2% = 793.792 = 794 rounded up.
So it will decrease by 794 people each year for 20 years.
Therefore 794 × 20 = 15880
So the population in 20 years will be 24806 - 15880 = 8926
So 8926 people will be available in 20 years to come. That's the population in 20 years.
Six horses eat 12 bales of hay in 12 hours. At the same rate, how many hours will 36 bales of hay last 12 horses
Twelve horses will take 18 hours to consume 36 bales of hay.
Given,Six horses eat 12 bales of hay in 12 hours We need to find,
Let's assume that 1 horse will eat 1 bale of hay in x hours.
As we know,6 horses will eat 12 bales of hay in 12 hours.
Now we can find x as follows:
For 1 horse, 1 bale of hay is consumed in x hours
So, for 6 horses, 6 bales of hay will be consumed in x hours.
Then,6 horses consume 12 bales of hay in 12 hours6 horses consume 6 bales of hay in 6 hours1 horse consumes 1 bale of hay in 6 hours
Now we have to find how many hours will 12 horses take to eat 36 bales of hay.
If 1 horse eats 1 bale of hay in 6 hours, then 12 horses will consume 12 bales of hay in 6 hours.
Therefore, 12 horses will consume 36 bales of hay in 18 hours.
So, the answer is: Twelve horses will take 18 hours to consume 36 bales of hay.
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Select the correct answer.
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11
Answer:
B. y = 11x - 7 passes through the points (2 , 15) and (3 , 26)
Step-by-step explanation:
DEF=XYZ
Which other congruence statements are true?
SELECT ALL THAT ARE TRUE, THERE IS MORE THAN ONE CORRECT ANSWER.
(-1,5) (2,-5) what is the slope can anyone please help
Help help help help help
Net profit is a company's profit after all expenses have been deducted. What remains after deducting fixed costs from gross profit is the net profit.
Why do we calculate net profit?Subtracting the cost function from the revenue function yields the profit function. Assume that the profit is denoted by P(x), the revenue is denoted by R(x), the cost is denoted by C(x), and x is the quantity of goods sold. Consequently, the profit function is denoted by P(x) = R(x0 - C) (x).
Total Revenue - Total Expenses = Net Profit
A company that sells online has a $350,000 revenue and a $50,000 cost of products sold.The net income formula is defined as the difference between the total revenue earned and the total costs.Total revenue minus all costs equals net income.
The money a corporation makes after deducting interest, operational costs, and taxes over a specific time period is known as net profit.Profit After Tax is another name for Net Profit (PAT).
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25 rules in 5 groups
There are five rules in one group
From the question, we have
25 rules in 5 groups
In one group = 25/5 = 5 rules
There are five rules in one group
Divide:
Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.
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An office manager buys 34 chairs for the new office. Each chair costs $205. What is the total amount the office manager pays for chairs? Enter your answer in the box. $_____________
Answer:
so each chair will cost 205
205 will be our cost C this is our dependent due to the entire cost being base on how many chairs that will get order
the independent variable will be how many chairs that will be ordered and there are 34 chairs being ordered
34*205= 6970
the total cost will be 6970