Answer:
x=2,y=-5
Step-by-step explanation:
−4x+3=x−7
x=2; y=−5
Answer:
y = -5 and x = 2
Step-by-step explanation:
substitute y in the first equation with x-7 from the second equation
x-7 = -4x+3
combine like terms
5x = 10
solve for x
x = 2
plug in x into either equation to solve for y (I used the second equation, but you can use either)
y = 2-7
y =-5
Josephine earns a salary of $560.00 per week, plus a commission of 10% on all sales. Last week, she sold $843 worth of goods. How much was she paid?
The amount that Josephine will be paid is $644.30.
How much was Josephine paid?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred.
In this situation, Josephine earns a salary of $560.00 per week, plus a commission of 10% on all sales and she sold $843 worth of goods.
The amount she'll be paid will be:
= $560 + (10% × $843)
= $560 + $84.3
= $644.30
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What are the x-input values of this relation? (1, 4), (2, 5), (3, 6) Choose all that apply.
1
2
3
4
5
6
pleaseee
Answer:
1, 2 and 3
Step-by-step explanation:
First you must know that the coordinate of a point is expressed as (x, y) wgere
x serves as the input value (domain)
y serves as the output values
Given the coordinates (1, 4), (2, 5), (3, 6), the input values will be the values at the x coordinates of the points that is 1, 2 and 3.
Which section of the graph represents the solution of the system of inequalities shown?
Answer:
Q
Step-by-step explanation:
5x+15y ≥ -20
Solve for y
15 y≥ -5x-20
Divide by 15
y ≥ -5x/15 -20/15
y ≥ -1/3 x -4/3
Y is greater than or equal to so shade above and on the line
4x-2y > 6
Solve for y
-2y > -4x+6
y < 2x -3
Shade below the line
The double shaded area is the solution
==========================================================
Explanation:
Let's focus on the inequality 4x-2y > 6
Plug in (x,y) = (0,0) to find that...
4x-2y > 6
4(0)-2(0) > 6
0 > 6
This is a false statement. So that means (0,0) is not in the shaded region for 4x-2y > 6. So we'll shade the opposite side of the dashed line to shade regions Q and R (i.e. stuff below the dashed line).
-----------------
Let's check the point (0,0) with the other inequality as well
\(5x + 15y \ge -20\\\\5(0) + 15(0) \ge -20\\\\0 \ge -20\\\\\)
This is true because 0 is to the right of -20 on the number line.
So we'll shade regions P and Q to represent the solution set for this inequality. These regions are above the boundary line. Points on the boundary are also included.
------------------
To summarize so far, we found that
regions Q and R make 4x-2y > 6 true, regions P and Q make \(5x + 15y \ge -20\\\\\) true.The overlap is region Q which is the final answer
Any point from region Q satisfies both 4x-2y > 6 and \(5x + 15y \ge -20\\\\\) at the same time. A point on the solid boundary line is part of the solution set, but stuff on the dashed boundary line are not solution points.
Circumference of Circle
Geometry
Answer:
the equation for the circumerence of a circle is pi R squared
Step-by-step explanation:
here the radius is 28
So it would be pi 28squared
so i think it would be 784pi
A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel). Find P(Girl | K-name)
Answer:
2/3
The total probability of a girl having a "K-name" is 3/8. The total probability of there being a girl in the club is 5/8.
Therefore, the conditional probability of having a girl with a "K-name" given that there is a girl in the club can be calculated as follows:
P (Girl | K-name) = P (K-name | Girl) × P (Girl) / P (K-name) = 2/5 * 5/8 / 3/8 = 2/3
Therefore, the probability of a girl with a K-name given that there is a girl in the club is 2/3.
In a club consisting of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve, and Samuel), we are asked to find P(Girl | K-name).
We can use Bayes' theorem to calculate the conditional probability of this event. This theorem states that the probability of an event given another event can be calculated as the product of the probability of the second event Therefore, the probability of a girl having a "K-name" given that there is a girl in the club is 2/3.
The conditional probability of there being a girl in the club given that a girl has a K-name is 2/3.
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y=-2
4x-3y=18
solve by substitution
Answer: x= 3
Step-by-step explanation:
Will give friendliest, 10 points, look at the picture…
I want pictures of how you did it on paper!
The volume of the composite figure is 145.68 cubic meters
Volume of composite figuresComposite figures are figures that is made up of more than one shape. The volume of the figure is expressed as:
Volume = volume of cylinder + volume of prism
Volume = πr²h + lwh
where
r is the radius of cylinder
h is the height
l, w and h are the length, width and height respectively
Substitute the dimensions
Volume = 3.14(2)² * 3 + (2.4*5*9)
Volume = 37.68 + 108
Volume = 145.68 cubic meters
Hence the volume of the composite figure is 145.68 cubic meters
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I1
30
mirror
50 ft
A student is walking to school and sees a mirror on the ground.
She stops a short distance from the mirror to practice her Geometry.
She knows her own height and the height of the school. She also knows
the distance from the mirror to the school from a previous Geometry activity,
She would like to calculate the distance she is
standing from the mirror.
The height of the school is 30 ft.
The distance from the school to the mirror is 50 ft.
The height of the student is 4.5 ft.
What is the distance d between the student and the mirror?
Show all your work.
By answering the presented question, we may conclude that Therefore, equation the distance between the student and the mirror is approximately 8.82 feet.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
Based on the given information
\((4.5 + 0) / d = 30 / (50 + d)\\(4.5 + 0)(50 + d) = 30d\\225 + 4.5d = 30d\\225 = 25.5d\\d = 8.82 feet\)
Therefore, the distance between the student and the mirror is approximately 8.82 feet.
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true or false f o r space s e t s space a space a n d space b comma space i f space a subset of or equal to b comma space t h e n space a intersection b space equals space a true false
False. If A is a subset of or equal to B, it does not necessarily mean that A intersection B equals A. The intersection of two sets A and B is defined as the set of elements that belong to both A and B.
If A is a subset of B, then every element of A also belongs to B. Therefore, the intersection of A and B must include all the elements of A. However, it may also include additional elements that belong to B but not to A.
For example, let A = {1, 2} and B = {1, 2, 3}. A is a subset of B since every element of A also belongs to B. However, the intersection of A and B is {1, 2}, which is not equal to A.
In summary, if A is a subset of or equal to B, it is possible for A intersection B to equal A, but it is not always true. The intersection can also include additional elements from B that do not belong to A.
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Which equation is a function of x?
Answer:
If you input a value of x then we get the output f(x) = y, which is the function of x. This is a function of x. Hence, x² = y is a function of x.
Step-by-step explanation:
The probability that a house in an urban area will be burglarized is 15%. If 30 houses are randomly selected, what is the mean of the number of houses burglarized?
The mean of the number of houses burglarized in this sample is 4.5 based on probability.
The probability of a house in an urban area being burglarized is 15%. This means that out of every 100 houses, 15 will be burglarized.
If 30 houses are randomly selected, we can use the binomial distribution to find the mean number of houses burglarized. The formula for the mean of a binomial distribution is:
Mean = n * p
where n is the number of trials (in this case, 30) and p is the probability of success (in this case, 0.15).
Substituting these values, we get:
Mean = 30 * 0.15
Mean = 4.5
Therefore, the mean number of houses burglarized out of 30 randomly selected houses is 4.5. Note that this is an expected value and may not represent the actual number of houses burglarized in any particular sample of 30 houses.
To find the mean of the number of houses burglarized, we can use the formula:
Mean = (Probability of success) x (Number of trials)
In this case:
- Probability of success (a house being burglarized) is 15%, or 0.15 as a decimal.
- Number of trials (randomly selected houses) is 30.
Using the formula, we get:
Mean = (0.15) x (30) = 4.5
So, the mean of the number of houses burglarized in this sample is 4.5.
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Graph the solution to this inequality on the number line. 2/3 z > 4/5
Answer: Can you post original picture of question please
Step-by-step explanation:
Answer: Open circle on 1 1/5 with arrow going right
Step-by-step explanation: Got correct on test
Would you consider VFITX to be a good investment choice? Explain why or why not.
Yes, I would consider VFITX to be a good investment choice because it has total return of 9.39%.
What is the best investment return?For long-term stock market investments, the majority of investors would consider an average annual rate of return of 10% or above to be a decent ROI.
It shoud be noted that VFINX is been seen as an investment having 5-year annualized total return of 9.39% which can b e seen as top third among its category peers and it has risk tolerance because VFITX are generally considered to be less risky when it is been place side b y side to equity funds.
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Find the intercepts of the function 2x - y = 6.
So the given function is in standard form: Ax + By = C
To find the x-intercept set 'y' to 0 and vice-versa
Solve for x:
2x - 0 = 6
+0 +0
2x = 6
/2 /2
x = 3
x-int: (3, 0)
Solve for y:
2(0) - y = 6
0 - y = 6
-0 -0
-y = 6
/-1 /-1
y = -6
y-int: (0, -6)
Pls help I only have 8 minutes left I need a detailed answer pls be quick
Answer: 2x+4 is the equation
the slope would be 2/1 and the y would be 4 (up) because thats where it is on the y axis
HELP Pls
Solve for x.
−35x+15>720
Drag and drop a number or symbol into each box to correctly complete the solution.
Answer:
x > -1/4
Step-by-step explanation:
-3/5x + 1/5 > 7/20
Subtract 1/5 from each side, you'll have to change 1/5 to 4/20 so they have the same denominator. 7/20 - 4/20 + 3/20
-3/5x > 3/20
Divide each side by -3/5
To divide fractions, you flip the second fraction and then multiply so you would have 3/20 times -5/3.
-3 * 5 = -15
20 * 3 = 60
Answer is -15/60 which simplifies to -1/4
x > -1/4
What is the equation of the line through 1 2 so that the segment of the line intercepted between the axes is?
The equation of the line through (1, 2) so that the segment of the line intercepted between the axes is y+2x=4.
Let's use the slope-intercept form to find the equation of the line,
Hence the equation of the line would be of the form y=mx+c,
now the point at which the line intersects X-axis is (a,0), and the point at which it intersects Y-axis is (0,b).
⇒ m×a+c = 0
⇒a= − c/m
and b=c+0 ⇒ b=c
Now, (1,2) is the midpoint of (a,0) and (0,b)
ie. 2=(0+b)/2 ⇒ c/2 =2
⇒c = 4
and 1=(a+0)/2 ⇒ 1= −c/2m
⇒ m= −c/2
⇒ m= −2
∴ The equation of the line is given by y+2x=4.
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The complete question is-
What is the equation of the line through (1, 2) so that the segment of the line intercepted between the axes is?
a homeowner has budgeted $10,000 for some home remodeling. a contractor has told him the labor and the cost of materials will be about the same amount. the homeowner wants to have about $3,000 left over for furnishings. how much will the homeowner be able to spend on labor and on materials?
Answer:
$3,500 labor and $3,500 materials
Step-by-step explanation:
furnishings + labor + materials = 10,000
furnishings = 3000
3000 + labor + materials = 10,000
labor = materials
3000 + labor + labor = 10,000
2(labor) = 7,000
labor = 7,000/2
labor = 3,500
labor = materials = 3,500
The question is in the image. The final answer is also in the other image.
We have that because the central angle is 90°, the sector represents 1/4 of a circle with a radius of 10 yd.
So, length of the safety rail is given by:
\(l=\frac{1}{4}\cdot2\pi r\)Where:
r = 10 yd
pi = 3.14
Substitute, we have:
\(l=\frac{1}{4}\cdot2(3.14)(10)=\frac{1}{4}\cdot62.8=15.7\text{ yd}\)The Answer is 15.7 yd
Next, area of the deck is given by:
\(A=\frac{1}{4}\pi r^2\)Substitute the values:
\(A=\frac{1}{4}(3.14)(10)^2=\frac{1}{4}(3.14)(100)=\frac{314}{4}=78.5\text{ yd}^2\)The answer is 78.5 yd^2
Please help!
Identify the slope of the function: f(x)=2(3x-7)
A:3
B:6
C:7
D:2
Answer:
The slope is 6
Step-by-step explanation:
f(x)=2(3x-7)
Distribute the 2
f(x)=2*3x-2*7
f(x) = 6x -14
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 6 and the y intercept is -14
The slope is 6
I don’t understand this could someone give me the answer?
Triangle ABC ~Triangle FED.
Triangle CBA ~ Triangle DFE.
What is a triangle?A triangle is described as being equilateral if all of its sides are equal, isosceles if only two of its sides are equal, and scalene if all of its sides have different lengths. The term "isosceles right triangle" refers to a triangle that is both right and isosceles.
There are three sides and three angles in every triangle, some of which may be the same.
One is the smallest angle. We refer to this angle as being acute since it is narrower than a straight angle. Two is the biggest angle. We refer to this angle as being obtuse since it is greater than a straight angle.
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A competency test has scores with a mean of 82 and a standard deviation of 2. A histogram of the data shows that the distribution is normal. Between what two values do about 99.7% of the values lie? SHOW YOUR WORK
(statistics)
Using the Empirical Rule, it is found that 99.7% of the values lie between 76 and 88.
What is the Empirical Rule?
It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:
The mean is of 82.The standard deviation is of 2.99.7% of the values lie within 3 standard deviations of the mean, hence between:
\(82 - 3(2) = 76\)
\(82 + 3(2) = 88\)
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In 2010, the population of a city was 119,000. From 2010 to 2015, the population grew by 6.3%. From 2015 to 2020, it fell by 3.7%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
Step-by-step explanation:
population in 2010=119000
population in 2015=11900*1.063=126497
population in 2020=126497*(1 - 0.037)=126491*0.963= 121817
answer=
\( \frac{121817}{11900} \times 100\)
=1.0237%
simple random sampling is a method associated with a high degree of generalizability.a. trueb. false
The statement is true. Simple random sampling is a method of selecting a sample from a larger population in which every member of the population has an equal chance of being selected for the sample.
This method is associated with a high degree of generalizability because it ensures that the sample is representative of the population. When a sample is representative of the population, the findings from the sample can be generalized to the entire population with a high level of confidence.
Simple random sampling is considered to be one of the most reliable and unbiased methods of sampling, making it a popular choice in many research studies.
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How do you solve #27-30?
g the center for medicare services reported that there were 295,000 reported appeals for hospitalization and other medicare part a services. for this group, 40% of the first round appeals were successful. suppose ten first round appeals were just received. the results follow a binomial distribution. what is the probability of getting more than two heads? enter answer to four decimal places.
The probability that of getting more than two heads is 0.9537.
Describe the binomial probability?There are just two options for each appeal: either it has been accepted or it wasn't. A binomial probability is employed to answer this question since the chances that one appeal will be permitted is independent of the possibility that any other appeals will be granted.The probability of precisely x successes per n repeated trials is known as a binomial probability, and X has only two possible outcomes.
P(X = x) = Cn,ₓ.pˣ(1 - p)ⁿ⁻ˣ ...eq 1
Where Cn,ₓ represents the number of distinct combinations of x items drawn from a group of n elements, as determined by the formula below.
Cn,ₓ = n!/x!(n - x)!
Where p is the likelihood that anything will happen.
10 appeals are necessary; n = 10.
Because 40% of appeals are successful; p = 0.4.
For the probability of getting at least two heads.
P(X ≥ 2) = 1 - P(X < 1)
P(X < 2) = P(X = 0) + P(X = 1)
Put the values in eq 1 and get the values for X.
P(X < 2) = 0.006 + 0.0403 = 0.0463
Now,
P(X ≥ 2) = 1 - 0.0463
P(X ≥ 2) = 0.9537
Thus, the probability that of getting more than two heads is 0.9537.
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explain how the bootstrap confidence interval and the randomization hypothesis test relate to one another in one to two sentences.
When it comes to Bootstrap confidence interval and randomization hypothesis both have a common ground, both of them are regarded as resampling methods that are efficient in measuring accuracy using intervals, prediction error, confidence, variance, bias etc. It also focuses on the crucial point of evaluating the variability of statistics.
The quick set of methods used to construct Bootstrap confidence interval and randomization distribution are similar considering the way they are used.
Furthermore, the thought of using Bootstrap confidence interval or randomization hypothesis depends on the research question. Hence, choosing from both depends on the type of approach the researcher needs to elucidate the research.
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Use the diagrams below to find the lengths of the missing sides. Figures in each diagram are similar.
Answer:
You are going to need to use the sine rule for the right angled triangle and the cosine rule for the other triangle
if the cost of a type i error is high, a smaller value should be chosen for the . a. level of significance b. confidence coefficient c. test statistic d. critical value
A lower degree of significance should be selected if the cost of a Type I error is substantial.
The level of significance chosen for the hypothesis test is equivalent to the likelihood of making a type I error. Therefore, there is a 5% probability that a type I mistake could happen if the threshold of significance is 0.05.
Two things can lead to type 1 errors : poor research methods and random chance. No random sample, whether it be an A/B test or a pre-election survey, can ever accurately represent the population it is meant to characterize.
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