The sum of the given two positive integers is 9.
According to the question,
We have the following information:
The product of two positive integers is 18. the positive difference of these two integers is 3.
Now, let's take the first positive integer (larger one) to be x and the second positive integer to be y.
xy = 18 ...(1)
x-y = 3
x = 3+y
Putting this value in equation 1:
(3+y)y = 18
[tex]y^{2} +3y-18 = 0[/tex]
[tex]y^{2}[/tex]+6y-3y-18 = 0
y(y+6)-3(y+6) = 0
(y+6) (y-3) = 0
y-3 = 0 and y+6 = 0
y = 3 or y = -6
Now, the number is positive so it will be 3.
Putting this value in equation 1:
xy = 18
3x = 18
Dividing by 3 on both sides of the equation:
x= 18/3
x = 6
Sum of integers = 3+6
Sum of integers = 9
Hence, the sum of the given two positive integers is 9.
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Pls help I don’t understand
Answer:
why u remove my answer
Step-by-step explanation:
x^2 - xy (if x = 8 and y = -3)
Answer: 88
Step-by-step explanation:
x^2 - xy
8^2-(8(-3))
64-(-24)
64+24
88
The equation C equals seven and represents how many ice cream cones see are sold within a certain number of minutes M add a certain ice cream shop determine the constant proportionality A 17 B 7 c 1 D 1/7
The constant of proportionality for the given equation is 7.
What is constant of proportionality?
The ratio that establishes a proportional relationship between any two given values is referred to as the constant of proportionality. The constant of proportionality may also be referred to by the names constant ratio, constant rate, unit rate, constant of variation, or even rate of change.
Given:
The equation C = 7M and represents how many ice cream cones see are sold within a certain number of minutes M add a certain ice cream shop.
We have to find the constant of proportionality.
Since, if the equation is of the form y = kx,
then k is the constant of proportionality.
Here the given equation is
C = 7M
Hence, the constant of proportionality is 7.
Option (B) is the correct answer.
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The answer is 7
...........
Therefore option B is correct
Have a nice day! ( : > )
The Excel file Automobile Options provides data on options ordered together for a particular model of automobile. By examining the correlation matrix, suggest some associations.
You must count the instances of each rule and the instances of each item in each rule separately using the data in the Excel file in order to determine the support, confidence, and lift of a rule.
Open the Excel file and look for the information on the options ordered for the specific model of car. This information will probably be presented as a table or a group of columns, where each row represents a distinct order and each column a different choice.
You must count the instances of the rule's components occurring together in the data in order to calculate the support for a rule. You would need to track how frequently the fastest engine choice and the traction control option are selected together, for instance, if the rule is "If the quickest engine, then traction control." This can be accomplished by counting the number of cells in a range that satisfy a specific condition using Excel's COUNTIF function.
The confidence in a rule is calculated by dividing the total number of times the items in the premise (the "if" component of the rule) occur by the total number of times the items in the rule. The number of times the fastest engine and traction control options are selected together must be divided by the total number of times the fastest engine option is ordered, for instance, if the rule is "If the fastest engine, then traction control."
You must divide the rule's confidence by the support of the item in the rule's conclusion to determine the lift of a rule (the "then" part of the rule). You would need to divide the rule's confidence by the support for the traction control option, for instance, if the rule is "If the quickest engine, then traction control."
To calculate the support, confidence, and lift for each of the rules, you can use the Excel formulas indicated above together with any other Excel functions or tools you are familiar with.
It is crucial to keep in mind that the precise formulas and processes you will need to follow will depend on the exact data and rules you are working with, so you might need to modify the following instructions to suit your personal needs.
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FAST
If Gabriel has 25.65 kg an he sold 3.87 how many kg he has?
Correct answer gets a Brainliest and 5 stars.
Answer:
12.78
Step-by-step explanation:
He has 25.65, sold 3.87. 25.65-3.87=21.78
the same 1200 tomatoes from the previous question have a mean weight of 143 grams and a standard deviation of 35 grams. if the weights are normally distributed, approximately how many tomatoes weight between 73 grams and 178 grams?
The number of tomatoes weight between 73 grams and 178 grams is 978.
A data set's mean provides the average and the standard deviation provides information on the range (dispersion) of values around the mean. Squaring is used to determine standard deviation but not mean.
The mean changes when the same value is added to each data point, but the standard deviation remains unchanged.
The standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.
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simple interest on a $198,562 mortgage at 3.99%?
The simple interest on the amount $198,562 mortgage at 3.99% will be $7922.62.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.
As per the given,
Principle amount P = $198,562
Rate = 3.99%
Interest amount = 3.99% of $198,562
⇒ (3.99/100)198562 = $7922.62
Hence "The simple interest on the amount of $198,562 mortgage at 3.99% will be $7922.62".
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A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.
Years of experience Salary
0 $52,000
1 $53,150
2 $54,260
3 $55,285
4 $56,921
5 $57,126
Use the equation for the line of best fit to predict the salary for an employee with 6 years of experience? (Round your answer to the nearest dollar.)
$61,150
$58,587
$59,672
$57,990
The equation for the line of best fit to predict the salary for an employee with 6 years of experience is $58,587.
What is meant by slope?The letter m is frequently used to represent slope; the reason for this is unclear, although it is first used in English by O'Brien in 1844, who wrote the equation for a straight line as "y = mx + b," and by Todhunter in 1888, who wrote it as "y = mx + c."
Finding the ratio of "vertical change" to "horizontal change" between any two unique locations on a line yields the slope. When the ratio is stated as a quotient ("rise over run"), the result is the same for each
We have to take any two points in the given information and find the value of slope.
Let the two points are (0, 52000), (1, 53,150)
m=(53150-52000)/(1-0)
m=1150
Therefore, slope=1150
Now, the equation of the line is y=mx+b
52000=1150(0)+c
c=52000
Therefore, y=1150x+52000
For 6 years experience,
Take x=6 then,
y=1150(6)+52000
y=6900+5200
y=58,900
y=$58,900≈58,587
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Answer:
$58,587.
Step-by-step explanation:
4. Madeleine can type 3 pages in one hour.
How many hours will it take her to type
a 123-page report?
30% of a is 18
Pls help!! Looking for what A is!
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 18}}{\left( \cfrac{30}{100} \right)18}\implies 5.4[/tex]
the mid-state soccer conference has 6 teams. each team plays the other teams once. (a) how many games are scheduled?
The total number of games would be 15 games.
What are the Permutation and Combination?
Permutations and combinations are the various ways in which objects from a set can be selected to form subsets, generally without replacement. When the order of selection is a factor, this selection of subsets is called a permutation; when it is not, it is called a combination.
Consider each team playing with the other team once
Total number of games scheduled = Number of ways of selecting 2 from 6 teams
[tex]=^nC_r\\\\=^6C_2\\\\=\frac{6!}{2!*4!}\\\\=15[/tex]
Hence the total number of games would be 15 games.
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lupita bought 5 pounds of pretzels at a wholesale store for $12.75 how much would it cost lupita to buy 7 pounds of pretzels.
Answer:
17.85
Step-by-step explanation:
You first divide 12.75 by 5, to see the price for one pound of pretzels. Then, you times that by 7, because you want to know how much it would cost for Lupita to but 7 pounds of pretzels. That would equal 47.85, which is your answer.
BRAINLIEST, PLEASE!100 PTS!!!!PLS HELP ASAP!!! THE CHOICES ARE THE SAME FOR REASON 7 AND 6!! ANSWE BOTH REASONS
Answer:
CPCTC
Step-by-step explanation:
BD is perpendicular to AC, forming two right triangles. The hypotenuses are congruent, as is our leg that we will call b. If we use Law of Sines to find our angles a and c (no matter the values), we would find that because b is the same leg in both triangles and the hypotenuses are congruent, angles a and c are congruent, so therefore your missing angle in both triangles is congruent, and using a trig function will find that AD and CD are congruent, making all of both triangles congruent.
Un árbol se vende en base a la circunferencia de su tronco. Si el tronco de un árbol tiene un radio de 4 pulgadas, ¿cuál es la circunferencia del tronco del árbol?
Answer:
25.12 pulgadas
Step-by-step explanation:
What is a formula for the nth term of the given sequence?
2, 4, 8...
I need an answer by december 16, 8:00 am (PLEASE)
Answer: 2n-1
Step-by-step explanation:
Graph the inverse for the relation on the same graph as the function.
The function in the graph is y = x² - 1 and the inverse of the function is y = √(x + 1) and the graph is attached
How to find the inverse functionExamining the graph the vertex is v(h, k) = (0, -1)
Quadratic equation is of the form
y = a(x + h)² + k
using the vertex we write the equation as
y = a(x + 0)² - 1
using point (1, 0) a is calculated
0 = a(1 + 0)² - 1
a = 1
The equation of the graph is
y = a(x + 0)² - 1
y = x² - 1
The domain of the equation is all real numbers and the range is calculated from the inverse
x = √(y + 1)
y + 1 ≥ 0
y ≥ -1
Inverse function
y = x² - 1
x² = y + 1
x = ±√(y + 1)
exchanging the variables
y = ±√(x + 1)
taking the positive function
y = √(x + 1)
here the domain and range is exchanged
range: all real numbers
domain: x ≥ -1
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which number is bigger and why? (7/9 and 5/8) [word problem in attachment]
The player who has the better record between Jamal and Brian as required in the task content is; Jamal.
Which player has the better record of Jamal and Brian?It follows from the task content that the player who has the better record between Jamal and Brian is to be determined.
Since it is given that Jamal and Brian 7/9 and 5/8 of their free throws respectively;
It follows that when expressed as a percentage; we have;
For Jamal;
7 / 9 × 100% = 77.78%
For Brian;
5 / 8 × 100% = 62.5%.
Ultimately, the player who has the better record for free throws is; Jamal since he has a greater percentage success rate for free throws.
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Volcanic eruptions of Mt. Vesuvius follow a Poisson distribution with an average of 2.5 eruptions every 100 years. Use that to answer the following:
a) Find the probability that there will be exactly 3 eruptions in the next 200 years. (6 points) (Round your answer to 4 decimal places)
b) Find the probability the next eruption occurs between 25 and 50 years. (6 points) (Round your answer to 4 decimal places)
(a) The probability that there will be exactly 3 eruptions in the next 200 years is 0.1404
(b) The probability the next eruption occurs between 25 and 50 years is 0.2488
Let X be the random variable denoting the volcanic eruptions as follows
Poisson distribution with parameters λ.
the average of the eruption is λ=2.5 per year.
Also for 200 eruptions the average of the eruptions is λ=2.5 per year.
Also, for 200 eruptions, the average of the eruptions is λ=5 per year.
The probability is:
P(X=3) = e⁻³(5)³/3!
= 0.0067×125/3×2×1
= 0.8422/6
= 0.1404
(b) Let X be the random variable denoting the volcanic eruptions as follows
Poisson distribution with parameters λ and also let 2.5 eruptions in 100 years is same as waiting time of:
100/2.5
= 40 years per eruption
therefore, X ~ Exp(β=40)
the probability density function of X is:
f(x) = { 1/40 e⁻¹/⁴⁰ , x>0
0 , otherwise}
And cumulative distribution function is:
P(X≤x) = 1 - e, x>0
the probability is:
P(25<X<50) = P(X<50)-P(X<25)
P(25<X<50) = e²⁵/⁴⁰ - e⁵⁰/⁴⁰
= e⁻°·°²⁵ - e⁻¹·²⁵
= 0.5353 - 0.2865
= 0.2488
Hence we get the required answer.
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How many times smaller is 1.9 × 103 than 4.085 × 105?
a. 0.46
b. 2.15
c. 46
d. 215
The 1.9 × 103 is 2.15 times smaller than 4.085 × 105. (Option B)
In order to determine a number is how many times smaller than the other number, the second number is divided by the first number. Division and multiplication, both used in the situation are basic arithmetic operations. In the give case, the in order to determine how many times smaller 1.9 x 103 is than 4.085 x 105, is given by
4.085 x 105/1.9 x 103
First simplifying by multiplying the terms in the numerator and denominator
4.085 x 105/1.9 x 103
428.925/195.7
Dividing the numerator by denominator,
428.925/195.7 = 2.15
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8-a/2=3(4-5a)????????????????????
Answer:
a = [tex]\frac{8}{29}[/tex]
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
what is the simple interest on 30000 naira for 4 years at 8% rate
Answer:
Step-by-step explanation:
- Hint: In this question we asked to find the Simple interest. Here, we will calculate simple interest for 4 years at 8% per annum by using the formula of simple interest (SI) =PRN100 .
Complete step-by-step solution -
To find the simple interest first we will know about simple interest.
Simple interest is based on principal amount for a fixed period of time. The amount which we deposit or take loan from the bank is known as principal amount. The period of time for which the money is lent is known as time on interest.
Now, we will calculate here simple interest,
SI =PRN100
Where P (principal amount) = Rs. 3000
R (Rate of interest) = 8%
N (number of period) = 4 years
So, finding simple interest by putting all the value, we get
=3000×8×4100
=30×8×4
=960 Rs.
i am more than $2$ inches taller than my sister, but triple her height is more than $51$ inches greater than double my height. what is the smallest whole number of inches that could be my sister's height?
The smallest whole number of inches that could be my sister's height will be equal to 55 inches.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given information in the question,
Let me be n inches tall, while my sister is m inches tall.
I'm my sister's tallest by over $2 inches.
So, the equation obtained is,
n = 2 + m (1)
However, if we treble her height, it would be more than 51 inches taller than I am.
So, the equation will be,
3m = 51 + 2n (2)
We need to find the value of m.
In the equation, n should be replaced with the aforementioned value (2)
3m = 51 + 2(2 + m)
3m = 51 + 4 + 2m
3m - 2m = 51 + 4
m = 55 inches
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suppose that 8% of the patients tested in a clinic are infected with hiv. furthermore, suppose that when a blood test for hiv is given, 94% of the patients infected with hiv test positive and that 7% of the patients not infected with hiv test positive. what is the probability that
By using Probability, it can be calculated that
a) Probability that the person test positive for HIV is infected with HIV = 0.54
b) Probability that the person test positive for HIV is not infected with HIV = 0.46
c) Probability that the person test negative for HIV is infected with HIV = 0.0056
d) Probability that the person test negative for HIV is not infected with HIV (P(not HIV|-ve)) = 0.9944
What is Probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Probability that the person is infected with HIV (P(HIV)) = 0.08
Probability that the person is not infected with HIV (P(not HIV)) = 0.92
Probability that the person infected with HIV test positive (P(+ve|HIV)) = 0.94
Probability that the person infected with HIV test negative (P(-ve|HIV)) = 0.06
Probability that the person not infected with HIV test positive (P(+ve|not HIV)) = 0.07
Probability that the person not infected with HIV test negative (P(-ve|not HIV)) = 0.93
By using Baye's Theorem of probability,
a) Probability that the person test positive for HIV is infected with HIV (P(HIV|+ve)) =
[tex]\frac{0.94 \times 0.08}{0.94 \times 0.08 + 0.92 \times 0.07}[/tex] = 0.54
b) Probability that the person test positive for HIV is not infected with HIV (P(no HIV|+ve)) = 1 - 0.54 = 0.46
c) Probability that the person test negative for HIV is infected with HIV (P(HIV|-ve) =
[tex]\frac{0.06 \times 0.08}{0.06 \times 0.08 + 0.93 \times 0.92}[/tex] = 0.0056
d) Probability that the person test negative for HIV is not infected with HIV (P(not HIV|-ve)) = 1 - 0.0056 = 0.9944
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Complete Question
Suppose that 8% of the patients tested in a clinic are infected with hiv. furthermore, suppose that when a blood test for hiv is given, 94% of the patients infected with hiv test positive and that 7% of the patients not infected with hiv test positive. what is the probability that
a) The person test positive for HIV is infected with HIV
b) The person test positive for HIV is not infected with HIV
c) The person test negative for HIV is infected with HIV
d) The person test negative for HIV is not infected with HIV
our tendency to believe we can predict the outcome of random events is the ____________.
A person's tendency to believe he/she can predict the outcome of random events is known as the Hindsight bias
What are outcomes and events in math?An event is the total number of results from a random experiment. Trial results are the outcome. The outcome of an event is the totality of all potential outcomes. To better understand this, let's use an example. Example: Chances of rolling a die and getting the desired number
What are the three types of outcomes?The three types of outcomes are Organizational outcomes, Team outcomes, and Personal or Individual outcomes.
A psychological phenomenon called hindsight bias enables people to persuade themselves after an occurrence that they correctly predicted it before it occurred. People may get the conclusion that they can foresee subsequent occurrences with accuracy as a result.
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A research firm determined that the equation y=2x+80 can be used to model the total amount of spending by tourist in florida,y, in billions of dollars, for the years 2013-2017 where x is the number of years since 2013.
determine the key features for the context
domain? range? as x values increase,y values ? slope? x intercept? y intercept? thank ya
Slope of y = 2x +80 is 2, y-intercept is 80, x-intercept is -40.
What is Slope?Slope is defined as how much the y-coordinate changes with respect to the x-coordinate. Slope remains constant anywhere on the line.
Given equation is y = 2x + 80, where y is total amount of spending by tourist in Florida, in billions of dollars and x represents the number of years since 2013.
Equation of a line in slope-intercept form is,
y = mx + c, where m is the slope of the line and c is the y-intercept.
Comparing the given equation with slope-intercept form, we get,
m = 2 and c = 80
Domain of the equation includes number of years from 2013 - 2017 and the range of the equation is the corresponding y values.
Since slope is positive, as x value increases, y value also increases.
x- intercept is the point where the line touches the x-axis. y-coordinate will be zero at that point.
0 = 2x + 80 ⇒ x = -40
For the equation y = 2x +80, slope = 2, y-intercept = 80, x-intercept = -40.
Domain is the set of all number of years from 2013 - 2017 and range is the corresponding amount spend by tourist in the years from 2013-2017. As x value increases, y value also increases.
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PLS ANSWER ASAP!!! 60 PTS
Answer: I think the answer is A.
3+2 x what = 17? This is due tomorrow but I’m stuck pls help
Answer:
7
Step-by-step:
2 * 7 =14 first due to PEMDAS
3 + 14 = 17
Answer:
7
Step-by-step explanation:
Let "x" be denoted as the variable for "what".
The question posted is: 3 + 2x = 17
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 3 from both sides of the equation:
2x + 3 = 17
2x + 3 (-3) = 17 (-3)
2x = 17 - 3
2x = 14
Next, divide 2 from both sides of the equation:
(2x)/2 = (14)/2
x = 14/2
x = 7
7 is your answer.
~
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Stock in Boomer Branding, Inc. started the week at $26.50 per share. During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25) Show the changes on the number line by identifying the original starting point and where each arrow representing the change would end.
Drag each value to correct place on the number line.
The number line is shown in figure.
What is Number line?
Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
Stock in Boomer Branding, Inc. started the week at $26.50 per share.
During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25)
Now,
Since, During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25)
Hence, All the number is shown in figure on that place.
Thus, The number line is shown in figure.
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the board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.00 minutes. to make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 42 randomly selected calls. the mean wait time was calculated to be 4.14 minutes. assuming the population standard deviation is 0.55 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.00 minutes with a 98% level of confidence?
This fails to reject the null Hypothesis.
What is z test?
If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.
a recent survey reported that small businesses spend 24 hours a week marketing their business.
these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.
assuming that the population standard deviation is 6.1 hours.
z = x'- u / α(/√n) = (5.05-4.50/1.83/√38) = 1.85
Hence, This fails to reject the null Hypothesis.
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It's been almost 24 hours since I have gotten an answer, I really need help please answer correcly its not about the points3
At a restaurant all the freezers are set to a temperature that is below 3F let x be the temperature of a freezer which inequality represents temperatures below 3F.
Answer:
The answer is the third one. It means less than 3 degrees. So X is less than 3 degrees meaning the degrees of the freezer is below 3 degrees.
Step-by-step explanation: