Answer:
72m^2
Step-by-step explanation:
Conevert the lengths into what they really are
Length of Patio:12
width of patio:6
Soooo.....
multiply
12x6=72
In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2?
A.
A F:AE
B.
BC:EF
C.
EF:AI
D.
AI:EF
E.
AI:AD
Answer: AI:EF
Step-by-step explanation:
Answer:
D. ) AI:EF
Step-by-step explanation:
PLATO
What percentage of temperatures are below 55°?
A.20%
B.50%
C.75%
D.25%
Answer:
D
Step-by-step explanation:
7. Choose the correct equation for the statement:
When the sum of 3 consecutive even integers is divided by 6, the quotient is 8.
A
3n+3
=
= 8
6
B
3n+6+6=8
I
3n+6
= 8
6
n+n+2+n+4:6=8
Let's see
The integers be
nn+2n+4So their sum
n+n+2+n+4Divided by 6
n+n+2+n+4/6Tune down into ratio
n+n+2+n+4:6Put final equation on line
n+n+2+n+4:6=8Spare equations
3n+6:6=8The correct equation for the statement: 3n+6:6=8
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
Let the three consecutive integers be
nn+2n+4So their sum
n+n+2+n+4
and,
=n+n+2+n+4/6
=(3n+6)/6
= (n+2)/6
Hence, correct equation for the statement: 3n+6:6=8
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Find the area of hexagon DEFGHI.
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
Is it possible to construct a triangle with side lengths of 6 cm, 11 cm, and 13 cm? Why or why not?
A.
No, because 6 + 11 < 13.
B.
Yes, because 6 + 11 ≠ 13.
C.
No, because 6 + 11 = 13.
D.
Yes, because 6 + 11 > 13.
Answer:
B. Yes, because 6 + 11 ≠ 13.
Step-by-step explanation: So for this one, you have to add two numbers and if the third number is bigger it is a possible construct but if it less than the third number than it is not a possible construct. So 6+ 11 = 17 (its good so far) 11 + 13 = 24(its good so far) 13 + 6 = 19( its good so far) everything checks out that means B is right. And also it is not D because that is saying 6 + 11 is less than 13 which is wrong. Hope this helps someone :)
What is the value of the function when x = 2?
Answer:
The corresponding y-value where x = 2 is -2
From the given graph, we can see that we have a straight line almost passing through the origin.
There are several points on the line expressed as a coordinate (x, y). This means that for every x-value on the x-axis, there are corresponding y values
From the line, we can see that the corresponding y-value where x = 2 is -2
Step-by-step explanation:
Answer:
-2
Similarly construct a horizontal line which goes through the point of intersection. The value of the function here at x = 2 is -2. Therefore, the value of the function is -2.Step-by-step explanation:
A simple random sample of 15 year old boys from one city is obtained in their weights are listed below use a 0.01 significance level to test the claim the these sample ways come from a population with a mean equal to 148 pounds. Assume that the standard deviation of the weight of a 15-year-old boys in the city is known to be 16.1 pounds. Use the traditional method of testing hypotheses.
Answer:
Step-by-step explanation:
What you are testing is a distribution of means, because you have a sample of eleven individuals (N=11), a population mean, and the population variance. Basically, the problem is asking: what is the likelihood that the sample mean (153.45 lbs) could have been obtained from a population where (M=149) if the null hypothesis is true?
p1: 15 year old boys with a mean weight of 153.45 lbs from City "Unknown".
p2: 15 year old boys with a mean weight of 149.00 lbs from the population.
H1: The sample of boys from City "Unknown" was not drawn from a population where the average weight of 15 year old boys = 149lbs.
H0: The sample of boys from City "Unknown" was drawn from a population where the average weight of 15 year old boys = 149lbs.
Mean = 149 [μM = μ = 149]
Variance = 16.2squared/11 = 262.44/11 = 23.86 [σM2 = σ2/N]
Standard Deviation = 4.88 [σM = √σM2 = √(σ2/N)]
Shape = normal
Using .01 level of significance for a two-tailed test, the cutoff sample score is +/- 2.575
Z = (M-µ) / σM = (153.45 - 149) / 4.88 = .91
.91 < 2.575
σM or the Standard Error of the Mean is 4.88 so...
for 99% confidence interval,
lower limit = 153.45 + (-2.575)(4.88) = 140.88
upper limit = 153.45 + (2.575)(4.88) = 166.02
the 99% confidence interval = 140.88 — 166.02 (lbs)
the population mean (µ=149.00) is included in the interval, which confirms results of Z test.
Conclusion: retain null, there is <.01 probability that the sample from City "Unknown" was drawn from a population where the mean weight is NOT = 149.00lbs.
What is the constant in the algebraic expression to represent the patter below??
15,11,7,3,-1,...
Answer:
The constant in the algebraic expression to represent the pattern below is 4.
Step-by-step explanation:
Imortant Tip:
An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent termsGiven the pattern
\(15,11,7,3,-1,...\)
computing the differences of all the adjacent terms
\(11-15=-4,\:\quad \:7-11=-4,\:\quad \:3-7=-4,\:\quad \:-1-3=-4\)
The difference between all the adjacent terms of the pattern is the same which is
\(d=-4\)
Hence, the given pattern represents the Arithmetic sequence.
Therefore, the constant in the algebraic expression to represent the pattern below is 4.
PLEASE IM BEGGING YOU PLEASE 100 POINTS
Hazel is trying to solve this inequality. After she solves it, she shows it to you, and she asks you if she did it correctly. This is the work she completed:
3(t+1)−4t≥−5
Step 1: 3t +3−4t≥−5
Step 2: −t+3≥−5
Step 3: −t≥−8
Step 4: t≥8
Part A: In which step did Hazel make a mistake?
Part B: How would you explain to Hazel what her mistake was, so she won't make the mistake again on a future test?
BoldItalicUnderline
Answer:
The step Hazel made the mistake in was step 2. She made the mistake of subtracting 3t-3. You cannot do this because they are not like terms. To be like terms, the second 3 would have to have a t on it as well.
Step-by-step explanation:
what is the equation in slope intercept form of the line that passes throught the points (-4, 2) and (12, 6)
The equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?The points are given as
(-4, 2) and (12, 6)
Calculate the slope of the points using
m = (y2 - y1)/(x2 - x1)
So, we have
m = (6 - 2)/(12 + 4)
Evaluate
m = 0.25
The equation is then calculated as
y = m(x - x1) + y1
Where
(x1, y1) = (-4, 2)
So, we have
y = 0.25(x + 4) + 2
Expand
y = 0.25x + 1 + 2
Evaluate
y = 0.25x + 3
Hence, the equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3
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The upper and lower specifications for a service are 10 min. and 8 min., respectively. the process average is 9 min. and the process capability ratio is 1.33. what is the process standard deviation?
The process standard deviation is mathematically given as
Standard deviation = 0.25
What is the process standard deviation?Generally, the equation for is mathematically given as
Process capability ratio,
Cp = \(\frac{USL - LSL}{ 6*\sigma}\)
Upper specifications USL= 10 min
Lower specifications LSL= 8 min
Standard deviation as \(\sigma\)
Therefore,
Cp = (10-8)/ 6*\(\sigma\)
1.33 = (10-8)/ 6*\(\sigma\)
\(\sigma\) = 0.25
In conclusion, the process standard deviation is
\(\sigma\) = 0.25
standard deviation = 0.25
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347.92 in the tenths
Answer:
In 1867, the first such national organization was formed. Led by OLIVER KELLEY, the PATRONS OF HUSBANDRY, also known as the GRANGE, organized to address the social isolation of farm life. Like
Morgan dollar
Morgan dollar (1878-1891)
FARMERS' ALLIANCES went one step further.
Answer:
The number in the tenths place is 9
Step-by-step explanation:
13. Cosmetic surgeon takes 120 minutes to serve one patient. Demand is 4 patients per 10-hour day. The surgeon has a wage rate of $250 per hour. What is the cost of direct labor for the surgeon expressed in $ per patient? A. $200 B. $410 C. $515 D. $625
To calculate the cost of direct labor for the surgeon per patient, we need to determine the total labor cost for a day and then divide it by the number of patients served.
First, let's calculate the total labor cost for a 10-hour day. The surgeon takes 120 minutes (2 hours) to serve one patient, so in 10 hours, they can serve:
10 hours / 2 hours per patient = 5 patients
The wage rate for the surgeon is $250 per hour, so the total labor cost for a 10-hour day is:
10 hours/day $250/hour = $2500
Now, let's calculate the cost of direct labor per patient:
Total labor cost / Number of patients = $2500 / 5 patients = $500 per patient
Therefore, the cost of direct labor for the surgeon expressed in $ per patient is $500.
None of the options provided match the calculated value of $500, so none of the given options (A, B, C, D) are correct.
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Calculate the slope given the 2 points: (0,0) & (4,2)
The slope between the two points given (0,0) and (4,2) is 2.
What do you mean by the slope?A line's slope is a measure of its steepness as well as direction.
The slope of a line is defined as the variation in y coordinate in relation to a modification in x coordinate.
The net change in y coordinates is Δy, while the net change in x coordinates is Δx.As a result, the y coordinate change in relation to the x coordinate change could be composed as,m = Δy/Δx
where, m is the slope
And, tan θ = Δy/Δx
This tan is also recognized as the slope of the line.
The slope of a line can be calculated using only two points on a straight line. Then with coordinates of two points, we could use slope of line formula.
Now, as per the given question;
Consider their coordinates;
P1 = (x₁, y₁)
P2 = (x₂, y₂)
Then slope will become;
Slope = m = tan θ = (y₂ - y₁)/(x₂ - x₁)
See the values given in the question;
(x₁, y₁) = (0,0) and,
(x₂, y₂) = (4,2)
Put the values in the formula of the slope;
Slope = m = (4 - 0)/(2 - 0)
m = 4/2
m = 2
Therefore, the slope of the line passing from the two given points is 2.
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regarding using personality testing as part of the hiring process experts have concluded that
While personality testing can provide insights into a candidate's traits, its effectiveness in predicting job performance is not universally agreed upon by experts. It should be used as part of a broader assessment strategy, with consideration given to legal and ethical considerations.
Personality testing has been a topic of discussion in the hiring process. Experts have come to various conclusions regarding its use. Here are some key points to consider:
1. Validity and reliability: One concern is whether personality tests accurately measure traits relevant to job performance. Experts have found mixed results, with some tests demonstrating good validity and reliability, while others may lack these qualities.
2. Legal considerations: Experts also highlight the importance of complying with legal standards when using personality tests. These tests should not discriminate against protected groups or violate any laws related to equal opportunity employment.
3. Complementing other methods: It is generally recommended to use personality tests as part of a comprehensive hiring process, alongside other methods such as interviews and work samples. Combining multiple assessment tools can provide a more holistic view of a candidate's suitability for a role.
4. Limited predictive power: Personality tests should not be solely relied upon as a predictor of job performance. Other factors, such as skills, experience, and work environment, also play significant roles.
5. Ethical considerations: Experts emphasize the need for transparency and informed consent when using personality tests. Candidates should understand the purpose and implications of the test and have the option to decline participation.In conclusion, while personality testing can provide insights into a candidate's traits, its effectiveness in predicting job performance is not universally agreed upon by experts. It should be used as part of a broader assessment strategy, with consideration given to legal and ethical considerations.
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(a) how many ternary strings (digits 0,1, or 2) are there with exactly seven 0's, five 1's and four 2's?
There are 210 ternary strings with exactly seven 0's, five 1's, and four 2's.
To solve this problem, we can use the formula for combinations. The total number of strings is the number of ways we can arrange all 16 digits, which is 16!. However, since there are 7 identical 0's, 5 identical 1's, and 4 identical 2's, we must divide by the number of ways to arrange those identical digits. This gives us:
16! / (7!5!4!) = 51,090,480 / (5,040 * 120) = 210
Therefore, there are 210 ternary strings with exactly seven 0's, five 1's, and four 2's.
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Find two negative odd integers such that 5 times the first plus the square of the second equals -14
The two negative odd integers such that 5 times the first plus the square of the second equals -14 are: -3 and -1.
What are negative odd integers?In a multiplication or division issue, an odd number of negatives will always result in a negative odd integer.
A negative odd integer carries a negative sign and is not exactly divisible by 2.
According to the question, an equation can be formed as follows:
\(5a+b^{2}=-14\)
Here, a and b are the two negative odd integers.
Let a= -3 and b= -1,
\(5a+b^{2}=5(-3)+(-1)^{2}\\\)
= -15+1
= -14
Thus, the required negative odd integers are -3 and -1.
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Which undefined geometric term is described as an infinite set of points that has length but not with?
A undefined geometric term is described as an infinite set of points that has length but not width is "line".
What is a line?A line has length but no width, making it a one-dimensional figure. A line consists made up of a collection of points that can be stretched indefinitely in opposing directions.
Some key features regarding a line are-
Two points in such a two-dimensional plane determine it. Collinear points are two points that are located on the same line.There are many distinct kinds of lines in geometry, including horizontal, vertical, parallel, and perpendicular lines. These lines are crucial in the creation of various kinds of polygons. Four lines of equal length, for instance, make a square, whereas three lines joined end to end form a triangle.To know more about a line segment, here
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Question 9 You are rushing out to get to your appointment in 30 minutes. From experience you know that most of the time you travel this distance in 30 minutes. However, half of the time there is heavy traffic. In the past, there has been heavy traffic and you have made it to your appointment within 30 minutes 34% of the time. You get out on the street and see that there is heavy traffic. What is the chance you will get to your appointment on time
Answer:
0.68
Step-by-step explanation:
According To the Question,
Let, H ⇒ "heavy traffic" & T ⇒ "get there on time".
Then, "half of the time there is heavy traffic" ⇔ P(H)=0.5.
Given, In the past, there has been heavy traffic and you have made it to your appointment within 30 minutes 34% of the time. This has to be taken to mean P(H and T) = 0.34.Now, you are given that there is heavy traffic, so We need to find P(T I H).
P(T l H) = P(H and T) / P(T)
P(T l H) = 0.34/0.5 ⇒ 0.68
Solve:p^2+2p^2-5*2p+5=0
These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.
To solve the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0, we need to simplify and rearrange the equation to its standard form and then solve for p.
Combining like terms, the equation becomes:
3p^2 - 10p + 5 = 0
Now, we can use the quadratic formula to solve for p. The quadratic formula states:
p = (-b ± √(b^2 - 4ac)) / (2a)
For our equation, a = 3, b = -10, and c = 5. Substituting these values into the quadratic formula, we have:
p = (-(-10) ± √((-10)^2 - 4 * 3 * 5)) / (2 * 3)
Simplifying further:
p = (10 ± √(100 - 60)) / 6
p = (10 ± √40) / 6
p = (10 ± 2√10) / 6
Now, we can simplify and find the two possible values of p:
p₁ = (10 + 2√10) / 6
p₂ = (10 - 2√10) / 6
These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.
In simplified form, the solutions are:
p₁ = (5 + √10) / 3
p₂ = (5 - √10) / 3
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Out of 1500 students at a school 85% made grade check. How many students passed grade check?
Answer:
1275
Step-by-step explanation:
Please help me will mark brainest
Answer:
your work is hard
Step-by-step explanation:
let the width and length be real numbers the perimeter remains a constant 24cm draw a graph 2|<w|<11
Answer:
Step-by-step explanation:
These represent the points on the graph with w as the x-axis and l as the y -axis. You only need two pairs to make a line, but it is always best to use a 3rd point as a check.
please help me with this queston and I will follow you.
Step-by-step explanation:
A square has all 4 equal sides.
Therefore (6x - 1) = (4x + 6), 2x = 7, x = 3.5.
Hence the length of the square side
is 6(3.5) - 1 = 20cm.
Given the following scatterplot, if a point was added in the upper left corner with an x-value of 10 and ay-value of 20, what would happen to the value of the correlation coefficient, r?
The upper left corner with an x-value of 10 and a y-value of 20 to the given scatterplot would likely decrease the value of the correlation coefficient, r.
The correlation coefficient, r, measures the strength and direction of the linear relationship between two variables. It ranges from -1 (perfect negative correlation) to 1 (perfect positive correlation), with 0 indicating no correlation. In a scatterplot, points that are closer to forming a straight line indicate a stronger linear relationship, while points that are more scattered indicate a weaker linear relationship.
In the given scatterplot, adding a point in the upper left corner with an x-value of 10 and a y-value of 20 would likely introduce an outlier that deviates from the overall pattern of the data. This outlier would be located far away from the other points, potentially causing the scatterplot to become more scattered and less linear. As a result, the linear relationship between the two variables, as measured by the correlation coefficient, r, would likely decrease. This is because the outlier would have a disproportionate influence on the calculation of the correlation coefficient, pulling it closer to 0 or even changing the direction of the correlation, if the outlier introduces a different pattern to the data.
Therefore, adding a point in the upper left corner with an x-value of 10 and a y-value of 20 to the given scatterplot would likely decrease the value of the correlation coefficient, r.
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Help ill give brainlist
6. 3x2 – 2x = 5
Quadratic formula
Answer:
The solution to the quadratic equation be:
\(x=\frac{5}{3},\:x=-1\)
Step-by-step explanation:
Given the expression
3x² – 2x = 5
Solving with the quadratic formula
\(3x^2-2x=5\)
subtract 5 from both sides
\(3x^2-2x-5=5-5\)
Simplify
\(3x^2-2x-5=0\)
For a quadratic equation of the form ax²+bx+c=0
\(x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)
For a = 3, b = -2, c = -5
\(x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:3\left(-5\right)}}{2\cdot \:3}\)
\(x_{1,\:2}=\frac{-\left(-2\right)\pm \:8}{2\cdot \:3}\)
Separate the solutions
\(x_1=\frac{-\left(-2\right)+8}{2\cdot \:3},\:x_2=\frac{-\left(-2\right)-8}{2\cdot \:3}\)
solving
\(x_1=\frac{-\left(-2\right)+8}{2\cdot \:3}\)
\(=\frac{2+8}{2\cdot \:3}\)
\(=\frac{10}{6}\)
\(=\frac{5}{3}\)
also solving
\(x_2=\frac{-\left(-2\right)-8}{2\cdot \:3}\)
\(=\frac{2-8}{2\cdot \:3}\)
\(=\frac{-6}{2\cdot \:3}\)
\(=\frac{-6}{6}\)
\(=-\frac{6}{6}\)
\(=-1\)
Therefore, the solution to the quadratic equation be:
\(x=\frac{5}{3},\:x=-1\)
Write the equation of a line of the table below.
PLS HELP WILL GIVE BRAINLIEST :)
Answer:
2
Step-by-step explanation:
To find the slope of a line, we can use the formula \(\frac{y_{1}-y_{2}}{x_{1}-x_{2}}\). We can choose the first two sets, (0,2) and (3,8). 8-2=6 and 3-0=3, so \(\frac{6}{3} = 2\). The slope of the line is 2
The area of a quarter circle is 19.625 square meters. What is the quarter circle's radius?
Answer:
2.5m
Step-by-step explanation:
Solve this using elimination
-4x+6y=24
2x+y=8