Answer: x>15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
>
15
Interval Notation:
(
15
,
∞
)
Find the inverse of f(x)= x+3/x-2
Answer:
Inverse for a number x, denoted by 1/x or x⁻¹.
f(x) = x+3/ x-2
Step-by-step explanation:
f(x)-1 = x-2 /x+3
Alita, Alisa, and Alano are sharing the cost of their mother's birthday gift, which costs $147. About how much money will each child need to contribute?
When the dollar price of pounds rises, for example, from $1 = 1 pound to $2 = 1 pound, the dollar has ______ relative to the pound.
The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.
What is Depreciated relative?Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.
A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.
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Events M and N have probabilities such that P(M) = 0.4, P(N) = 0.28, P(M ∪ N) = 0.56, and P(M ∩ N) = 0.12. Are events M and event N independent?
A.
Yes, because P(M) + P(N) = P(M ∪ N).
B.
No, because P(M) ∙ P(N) ≠ P(M ∩ N).
C.
Yes, because P(M) ∙ P(N) ≠ P(M ∪ N).
D.
No, because P(M) - P(N) = P(M ∩ N).
i need this asap
Answer: The answer is B.
Step-by-step explanation:
This is using the independent probability
Are events M and event N independent. No, because P(M)·P(N) ≠ P(M ∩ N).
What do you mean by independent events?
A and B are said to be independent events if the probability of an event A occurring is unaffected by the occurrence of another event B whereas dependent events influence the probability of other events Independent events can have common outcomes.
If two events A and B are independent of each other, then A and B have equal probability of occurring as
P(A∩B) = P(A) · P(B)
Event M and N have probabilities such that P(M) = 0.4, P(N) = 0.28 , P(M∪N) = 0.56 and P(M∩N) = 0.12
P(M)·P(N) = 0.4 × 0.28 = 0.112
and P(M∩N) = 0.12 (Given)
So, P(M∩N) ≠ P(M)·P(N)
This shows that both the events are not independent events.
Therefore, Event M and N are not independent event.
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Why are soybeans, a legume, often planted in fields in which corn had been planted the previous year?
The soybeans are often planted in fields after corn to increase the nitrogen content of soil.
The soybeans are legumes, which means, they have am efficient ability to fix nitrogen due to their symbiotic relationship with specialist microbes. The specific microbes are capable of fixing nitrogen from the atmosphere.
The crops like corn deprive the soil of nitrogen decreasing its fertility. In such cases, all the legume crops are commonly sowed by the farmers. The process is referred to as crop rotation and serves numerous other benefits as well.
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A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional
$110 per hour for each hour worked over 35 hours per week. A cashier worked 39
hours one week and 37 hours the second -week. Show and explain to the cashier how her salary
would be calculated in this two-week period?
Answer:
total hr worked = 39 + 37 = 76 hr
salary per hr = 110 $
so total salary = 110 * 76 = 8360$
Natalle is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalle $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.
where t is the number of hours worked by Natalle
Here, we want to write an equation that will represent the given scenario
Let the number of hours for which she earned the pay be t
From the question, she earns $11 per hour
So for t hours, the amount earned excluding the tip will be;
\((11\times t)\text{ = \$11t}\)Now, let us add the tip and equate to the total amount earned
We have this as;
\(11t\text{ + 6 = 39}\)A car rental agency has 6 vehicles available, of which 2 are sport utility vehicles.
What is the probability that a randomly selected vehicle will be a sport utility vehicle?
Write your answer as a fraction or whole number.
P(sport utility vehicle)
Answer:
1/3
Step-by-step explanation:
P(Sport utility vehicle) = 2/6 = 1/3
even though emilio writes neatly and legibly, it takes him a very long time to write a few sentences. which strategy may help emilio to write more fluently?
One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.
Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.
Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.
By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.
With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.
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A Moving to another question will save this response. Question 4 A scooter travels along a straight line at a constant speed of 90 km/h with time t=6hr. What will be the distance covered by him ? 840 km 740 km 540 km 640 km
Previous question
The distance covered by the scooter during the 6-hour time period is 540 km.
A scooter travels along a straight line at a constant speed of 90 km/h for a time period of 6 hours. We need to calculate the distance covered by the scooter during this time.
To calculate the distance covered, we can use the formula:
Distance = Speed × Time
In this case, the speed is provided as 90 km/h, and the time is provided as 6 hours.
Plugging in these values into the formula, we get:
Distance = 90 km/h × 6 hours
Multiplying the speed and time, we have:
Distance = 540 km
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What is the sum of please refer to the photo
Answer: the answer is option B
Step-by-step explanation: addition of numbers which has same power
Answer:
The sum of (-9x^4 + 6x^3 + 2x^5 +6) and (3x^5 + 3x^4 + 7x^3 + 8) is:
2x^5 + (-9x^4 + 3x^5) + (6x^3 + 3x^4 + 7x^3) + (6 + 8)
Combining like terms, we get:
5x^5 - 6x^4 + 13x^3 + 14
Therefore, the answer is: 5x^5 - 6x^4 + 13x^3 + 14
Find the x-intercept of the line with equation y=6x +1
Answer:
x = - \(\frac{1}{6}\)
Step-by-step explanation:
the x- intercept is the value of x where the line crosses the x- axis
on the x- axis the y- coordinate of any point is zero
let y = 0 in the equation and solve for x
y = 6x + 1 , then
0 = 6x + 1 ( subtract 1 from both sides )
- 1 = 6x ( divide both sides by 6 )
- \(\frac{1}{6}\) = x ← is the x- intercept
Answer:
\(x = \frac{1}{6}y-\frac{1}{6}\)
Step-by-step explanation:
Find the x-intercept of the line with equation y=6x +1
y = 6x + 1, solve for x
y = 6x + 1 subtract 6x from both sides:
y - 6x = 6x + 1 - 6x
y - 6x = 1
subtract y from both sides:
y - 6x - y = 1 - y
- 6x = 1 - y
divide both sides by -6:
- 6x/-6 = (1 - y)/-6
x = -1/6 + 1/6 y
rearrange left side:
\(x = \frac{1}{6}y-\frac{1}{6}\)
A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 7 customers per hour and an average service rate of 15 customers per hour. What is the probability that this system will contain 6 or more customers? a. 0.9897 b. 0.01033 c. 0.9952 d. 0.9779
The probability that the single server queuing system will contain 6 or more customers is 0.9779 (option d). This means that there is a high likelihood that the system will have at least 6 customers at any given time.
To calculate this probability, we can use the formula for the steady-state probability of the system being in state n or more, which is given by:
P(n or more) = (1 - ρ) * ρ^n / (1 - ρ^(N+1))
where ρ is the traffic intensity (arrival rate / service rate) and N is the number of servers. In this case, we have a single server, so N = 1.
First, we need to calculate the traffic intensity ρ. The arrival rate is 7 customers per hour, and the service rate is 15 customers per hour.
ρ = 7 / 15 = 0.4667
Next, we substitute the values into the formula:
P(6 or more) = (1 - 0.4667) * (0.4667^6) / (1 - 0.4667^(1+1))
P(6 or more) ≈ 0.9779
Therefore, the probability that the system will contain 6 or more customers is approximately 0.9779, or option d.
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A television station claims that the amount of advertising per hour of broadcast time has an average of 16 minutes and a standard deviation equal to 1.4 minutes. You watch the station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 8 minutes. Calculate the z-score for this amount of advertising time. Group of answer choices
Answer:
-4.29
Step-by-step explanation:
The computation of the z score is shown below:
data provided in the question
Average minutes = 16 minutes
Standard deviation = 1.4 minutes
Amount of advertising time = 8 minutes
Based on the above information, the z score is
\(= \frac{x-m}{\sigma} \\\\ = \frac{8-14}{\1.4} \\\\ = \frac{-6}{1.4}\)
= -4.29
Hence, the z score is -4.29. It is come by considering the above formula
Find the area of the figure round to the nearest tenth
Answer:
180 m
Step-by-step explanation:
Marc, a single taxpayer, earns $260,000 in taxable income and $8,000 in interest from an investment in city of Birmingham bonds. Using the U.S. tax rate schedule for year 2021, what is his current marginal tax rate
Marc's current marginal tax rate can be determined by referring to the U.S. tax rate schedule for the year 2021 based on his taxable income.
To calculate Marc's current marginal tax rate, we need to look at the U.S. tax rate schedule for the year 2021. The tax rate schedule consists of several tax brackets, each with its corresponding tax rate. As taxable income increases, individuals move into higher tax brackets and are subject to higher tax rates. Based on Marc's taxable income of $260,000, we would need to refer to the tax rate schedule to determine his marginal tax rate. As the exact tax rates within the brackets can vary, it's important to consult the specific tax rate schedule for the given year.
By locating the corresponding tax bracket for $260,000 in taxable income, we can identify the applicable tax rate. Marc's current marginal tax rate would be the tax rate associated with the bracket that includes his interest.
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simplify the following 7 x 7^4
Answer:
2401
Step-by-step explanation:
7 x 7 to power of 4
7 x 7 x 7 x 7
=2401
Answer:
Step-by-step explanation:
Here you go mate
Step 1
7 x 7^4 Equation
Step 2
7 x 7^4 simplify
7x7x7x7x7
step 3
7x7x7x7x7 multiply
answer
16807
Teboho has to sell a certain number of cars each month. For every car he sells over and above this number he earns 17% commission on the price of the car before VAT is added. He sold three cars on which he earned commission. The VAT included prices were R271 800,00; R316 800,00 and R99 300,00. Calculate:
1.1 The prices of the cars before VAT was added
1.2 The commission he earned on the cars.
The commission earned are R41123.17, R47931.67 and R15024.09
The prices of the cars before VAT was addedThe VAT included prices are given as:
R271 800,00; R316 800,00 and R99 300,00.
The VAT rate is 12.36%.
So, the price before VAT is calculated as:
VAT included = Price without VAT * (1 + 12.36%)
This gives
VAT included = Price without VAT * 1.1236
So, we have:
Price without VAT = VAT included/1.1236
For the three cars, we have:
Price without VAT = R271 800.00/1.1236 = R241901
Price without VAT = R316800.00 /1.1236 = R281951
Price without VAT = R99300.00/1.1236 = R88377
Hence, the prices of the cars before VAT was added are R241901, R281951 and R88377
The commission he earned on the cars.This is calculated as:
Commission = Price * 17%
So, we have:
Commission = R241901 * 17% = R41123.17
Commission = R281951 * 17% = R47931.67
Commission = R88377 * 17% = R15024.09
Hence, the commission earned are R41123.17, R47931.67 and R15024.09
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You find a line of fit for a set of data and calculate that the correlation coefficient for the model is -0.34. Describe the fit of the model to the data.
please help!!!!
The model's fit to the data is weak, indicated by a correlation coefficient of -0.34. There is a weak negative relationship between the variables, with the model's predictions being imprecise and scattered around the line of fit.
A relationship coefficient of - 0.34 shows a frail negative connection between's the factors in the information. This intends that as one variable expands, the other variable will, in general, diminish, however, the relationship isn't a serious area of strength for exceptionally.
The line of fit for the information recommends that there is a general pattern or example, however, it doesn't fit the information focuses intently. The scatterplot of the information would show focuses spread around the line, for certain focuses straying a considerable amount from it.
The model's capacity to foresee the specific upsides of the reliant variable in light of the free variable(s) is restricted. In outline, the attack of the model to the information isn't an area of strength for extremely, there is a frail negative connection between the factors.
The model's forecasts may not be profoundly precise, and there may be different elements or factors not caught by the model that impact the information.
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Write the equation of the line that passes through the points (-1, -6) and (4,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer: y + 6 = 11/5( x + 1)
Step-by-step explanation:
To write the equation in point-slope form we need to first find the slope of the line.
The slope is the difference between the y coordinates divided by the difference between the x coordinates.
-6 - 5= -11
-1 - 4 = -5
-11/-5 = 11/5
The slope is 11/5 .
The point-slope formula says that y - b = m(x - a) where m is the slope and
b is the y coordinate of one of the point and a is the x coordinate of the same point.
We will use the point (-1,-6)
The x coordinate is -1 and the y coordinate is -6.
b will be -6 and a will be -1 while m will be 11/5.
y -(-6) = 11/5(x-(-1)
Reduce it to lowest terms.
y + 6 = 11/5( x + 1)
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
-8 X 3 = -24 + 9 = -15 or you could do -24+9=-15
Step-by-step explanation:
I will give Brainliest!
A collection of paired data consists of the number of years that students have studied Spanish and their scores on a Spanish language proficiency test. A computer program was used to obtain the least squares linear regression line and the computer output is shown below. Along with the paired sample data, the program was also given an x value of 2 (years of study) to be used for predicting test score.
Equation: y = mx + b
Statistics:
r2 = 0.83
r = 0.91
Parameters:
m = 10.90
b = 31.55
Answer the following questions based on the information given above.
If a person studies 4.5 years, what is the single value that is the best predicted test score? Assume that there is a significant linear correlation between years of study and test score.
83.0
80.6
49.1
53.35
Answer:
2.9 years
Step-by-step explanation:
80.6
I know that’s right because I took the test.
E
6. Write a linear equation to represent a line with a
slope of -5 and passes through the point (-1,-8).
Answer:
Point (6, -1) = (x, y)
Slope = -3
The proper linear equation is written in following form: y = mx + b (where m is slope, and b is y-intercept). Since we already have the slope, we need to find the y-intercept, b
So we plug in what we have:
y = mx + b
-1 = (-3)(6) + b, where we solve for b
-1 = -18 + b
b = 17
Finally, the equation of the line that passes through point (6, -1) and has a slope of -3 is y = -3x + 17
Please answer the both questions in the photos below ( will mark brainliest if available + 30p )
The classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent. The Option B is correct.
Why is the equation's classification consistent independent?We have a consistent independent equation when a system of linear equations has exactly one solution. When this occurs, the graphs of the system's lines cross at exactly one point.
For our question, we can start by rearranging the first equation to isolate y:
\(4x + y = 4\\y = -4x + 4\)
We can see that the second equation is already in the form y = mx + b, where m is the slope and b is the y-intercept. So we can identify that the slope of the second equation is -4 and the y-intercept is 4.
Now we can compare the slopes and y-intercepts of the two equations to determine the classification of the system of equations:
If the slopes are the same and the y-intercepts are different, the system is inconsistent and there is no solution.If the slopes are different, the system is consistent and there is a unique solution.If the slopes are the same and the y-intercepts are the same, the system is consistent and there are infinitely many solutions.In this case, we can see that the slopes of the two equations are different (-4 and 0) and the y-intercepts are the same (4). Therefore, the system is consistent and there is a unique solution. So the classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent
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The price of pen is Rs.150.how much price of it will be after 15% discount?
Answer:
Multiple the amount by the discount.
Rs 150 × 15%
Rs.22.5
Adding fractions mixed number
You can separate the whole number and fraction parts to add two mixed numbers. Add the whole numbers first, and then look for a common denominator to add the fractions. Once you've calculated your total, you may need to simplify the fraction to get your final answer.
What is fraction?A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. In mathematics, a fraction is used to represent a piece or part of a whole. It symbolizes the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, while the bottom number is known as the denominator.
Here,
To add two mixed numbers, separate the whole number and fraction parts. First, add the whole numbers, then look for a common denominator to add the fractions to. After you've determined your total, you may need to simplify the fraction to obtain your final answer.
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I need help with thissssss
Answer:
Loading,please wait...
Step-by-step explanation:
A set of equations is given below:
Equation A: y = x + 1
Equation B: y = 4x + 5
Which of the following steps can be used to find the solution to the set of equations?
a
x + 1 = 4x + 5
b
x = 4x + 5
c
x + 1 = 4x
d
x + 5 = 4x + 1
What type of association does the graph show between x and y?
well it should be a positive linear association! This is based of the angle and how straight the line is.
Suppose you are told that 1/2 = 3' on a scale drawing. If there is an object that measures 5" in the drawing, what would its actual length be?
Scale drawings are used to represent a large drawing using smaller measurements
The equivalent of 5" in the drawing is 30' i.e. 30 feet
The scale is given as:
\(\mathbf{\frac 12" = 3'}\)
A single quote means feet, while a double quote means inches
So, the scale can be rewritten as:
\(\mathbf{\frac 12\ inches= 3\ feet }\)
Multiply both sides by 10
\(\mathbf{\frac 12\ inches \times 10 = 3\ feet \times 10}\)
Simplify
\(\mathbf{5\ inches = 30\ feet }\)
Rewrite as:
\(\mathbf{5" = 30'}\)
Hence, the equivalent of 5" in the drawing is 30' i.e. 30 feet
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