Answer:
E) Line 5
Step-by-step explanation:
Line 5 contains the first incorrect mathematical process
Process
x−5(x+1)>3x+2
−4x−5>3x+2
−7x−5>2
−7x>7
x<−1
I need help on the Math HW. I don’t get how to get the answers.
Answer:
1
A= 34
B= 112
C= 34
Step-by-step explanation:
A and C are vertical angles so would have the same angle degree. The 112 and B are same side interior angles so have the same degree
A and 112 are opposite interior angles so they have to add up to 180.
So 180-112=68
then 68 divided by 2 to get both A and C
hope that made sense
find the centroid of the region in the first quadrant bounded by the given curves. y = x9, x = y9
The centroid of the region in the first quadrant bounded by the curves \(\(y = x^9\)\) and \(\(x = y^9\)\) is \(\(\left(\dfrac{10}{11}, \dfrac{10}{11}\right)\)\).
The centroid is given by the following formulas:
\(\[\bar{x} = \dfrac{\int_{a}^{b} x \cdot f(x) \, dx}{\int_{a}^{b} f(x) \, dx}\]\)
\(\[\bar{y} = \dfrac{\int_{c}^{d} y \cdot g(y) \, dy}{\int_{c}^{d} g(y) \, dy}\]\)
Where f(x) and g(y) are the functions that define the curves bounding the region.
Since we want to find the centroid of the region in the first quadrant, the intersection points of the two curves in the first quadrant.
The curves intersect at (1, 1).
Now, let's find the centroid of the region in the first quadrant.
First, find the limits of integration:
1. For x:
The curve \(\(y = x^9\)\) is the upper curve, and it intersects the x-axis at x = 0 and the y-axis at x=1.
So, the limits of integration for x are \(\(0 \leq x \leq 1\)\).
2. For y: The curve \(\(x = y^9\)\) is the right curve, and it intersects the y-axis at y=0 and the x-axis at y=1.
So, the limits of integration for y are \(\(0 \leq y \leq 1\)\).
Now, set up the integrals:
\(\[\bar{x} = \frac{\int_{0}^{1} x \cdot x^9 \, dx}{\int_{0}^{1} x^9 \, dx}\]\)
\(\[\bar{y} = \dfrac{\int_{0}^{1} y \cdot y^9 \, dy}{\int_{0}^{1} y^9 \, dy}\]\)
1. \(\(\int_{0}^{1} x \cdot x^9 \, dx\):\)
\(\[\int_{0}^{1} x \cdot x^9 \, dx = \int_{0}^{1} x^{10} \, dx\)
\(= \left[\dfrac{x^{11}}{11}\right]_{0}^{1} = \dfrac{1}{11}\]\)
2. \(\(\int_{0}^{1} x^9 \, dx\):\)
\(\[\int_{0}^{1} x^9 \, dx = \left[\dfrac{x^{10}}{10}\right]_{0}^{1}\)
\(= \dfrac{1}{10}\]\)
3.\(\(\int_{0}^{1} y \cdot y^9 \, dy\):\)
\(\[\int_{0}^{1} y \cdot y^9 \, dy = \int_{0}^{1} y^{10} \,\) dy
\(= \left[\dfrac{y^{11}}{11}\right]_{0}^{1} = \dfrac{1}{11}\]\)
4. \(\(\int_{0}^{1} y^9 \, dy\):\)
\(\[\int_{0}^{1} y^9 \, dy = \left[\frac{y^{10}}{10}\right]_{0}^{1}\)
\(= \dfrac{1}{10}\]\)
Now, the centroid coordinates:
\(\[\bar{x} = \dfrac{\frac{1}{11}}{\dfrac{1}{10}} = \dfrac{10}{11}\]\)
\(\[\bar{y} = \dfrac{\frac{1}{11}}{\dfrac{1}{10}} = \dfrac{10}{11}\]\)
So, the centroid of the region is \(\(\left(\dfrac{10}{11}, \dfrac{10}{11}\right)\)\).
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The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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3
Write the value of the 3 in each number.
a) 3.65
b) 0.093
c) 18.31
d) 72.439
e) 32.701
f) 19.03
Answer:
A. hundreds
B. ones
C.. tens
D. tens
E. 10,000
F. ones
Answer:
a. units or 3.00
b. thousandths or 0.003
c. tenths or 0.30
d. hundreths or 0.030
e. tens or 30.0
f.hundreths or 0.03
Step-by-step explanation:
Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form.
perpendicular to
7y = x − 4
and passes through the point
(−2, 1)
Answer:
\(y = -7x -13\)
Step-by-step explanation:
Given
Perpendicular to
\(7y = x -4\)
Passes through
\((-2,1)\)
Required
The equation
First, we calculate the slope of:
\(7y = x -4\)
Divide through by 7
\(y = \frac{1}{7}x - \frac{4}{7}\)
A linear function is:
\(y=mx + c\)
Where;
\(m \to slope\)
So:
\(m = \frac{1}{7}\)
For the perpendicular line; the slope is:
\(m_2 = -\frac{1}{m}\)
So, we have:
\(m_2 = -\frac{1}{1/7}\)
\(m_2 = -7\)
The equation is:
\(y = m(x - x_1) + y_1\)
So, we have:
\(y = -7(x - -2) + 1\)
\(y = -7(x +2) + 1\)
Open bracket
\(y = -7x -14 + 1\)
\(y = -7x -13\)
How many ways can 3 of 10 students come first, second and third place is a spelling contest, if there are no ties?
Answer:
Step-by-step explanation:
The number of ways to choose 3 students out of 10 to come in first, second, and third place in a spelling contest, with no ties, is calculated using the combination formula. The combination formula is:
C(n, r) = n! / (r! (n-r)!)
Where n is the total number of items, and r is the number of items to choose. In this case, n = 10 and r = 3.
So, the number of ways to choose 3 students out of 10 is:
C(10, 3) = 10! / (3! (10-3)!) = 10! / (3! 7!) = 10 x 9 x 8 / (3 x 2 x 1) = 120.
Therefore, there are 120 different ways to choose 3 students out of 10 to come in first, second, and third place in a spelling contest, with no ties.
Find (g f)(7) when f(x) = 4x - 9 and g(x) = - 3x ^ 2 - 9x - 7 .
The value of gf(7) = 50
What is a Function ?A function is a mathematical statement used to relate two variable , an independent and dependent variable.
It is given that
f(x) = 4x -9
g(x) = 3x² -9x -7
to find
(gf) (7)
g(x)f(x) has to be determined
= (3x² -9x -7)(4x -9)
= 12x³ -27x²-36x²+81x -28x +36
= 12x³ -63x² +53x +36
Now fg(7 ) =
= 12 (7) -63 (7) +53 (7)+36
=50
Therefore the value of gf(7) = 50
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7 7/8 - 3 1/4 =? What’s the answer
Answer:
4 5/8
Step-by-step explanation:
7 7/8= 63/8
3 1/4= 13/4= 26/8
63/8 - 26/8= 37/8
37/8= 4 5/8
look at the screenshot x
Answer:
31.01
Step-by-step explanation:
A= πr^2= π · 3.142 ≈31.01432
(10 points) Ben, Max, and Yolanda are at the front of three separate lines in the cafeteria waiting to be served. The serving times for the three lines follow independent Poisson processes with respective parameters 1, 2, and 3. (a) Find the probability that Yolanda is served first. (b) Find the probability that Ben is served before Yolanda. (c) Find the expected waiting time for the first person served.
Answer:
1/2 ; 1/3 ; 1/6
Step-by-step explanation:
Given :
Ben ~ exp(1)
Max ~ exp (2)
Yolanda ~ exp(3)
Ben :
X ~ exp(1)
Max:
Y ~ exp(2)
Yolanda :
Z ~ exp(3)
Probability that Yolanda is served first :
P(Z < (X, Y)) = Z /(x + y + z) = 3 /(1 + 2 + 3) = 3/6 = 1/2
Probability that Ben is served before Yolanda :
P(X < Z) = 1/ (1 + 2) = 1/3
Expected waiting time for first person served :
First person served = 1
Total = (1 + 2 + 3) = 6
Expected waiting time; E(x) :
E(x) : 1 / 6
Kurt and Courtney are playing basketball. Kurt makes 2 baskets in the first game and 4 baskets in each game after that. Courtney makes 4 baskets in the first game and 2 baskets in each game after that. The table below shows the number of baskets each made in the first 4 games. Which graph shows the ordered pairs of the total number of baskets each has made after each game?
Answer:
Kurt 10 Courtney 10 Mark brainiest
Step-by-step explanation:
I did this too
Answer:
they each have 10 if you count mark me brainiest, please
Step-by-step explanation:
Each morning, Jon rides 1.5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles.
Which equation can be used to find x, the distance from school to his aunt’s house?
The equation that can be used to determine the distance from school to his aunt's house is x = 29 miles / 10.What equation can be used to represent the total distance travelled? Total miles rode = 10(miles ridden to school) + (10 x miles rode to his aunt's house from school) 44 miles = (10 x 1.5) + (10 × x)44 miles = 15 miles + 10x What equation that can be used to determine distance rode from school to her aunt's house? Given this equation : 44 miles = 15 miles + 10x, take the following steps: Combine similar terms: 44 miles - 15 miles = 10x 29 miles = 10x Divide both sides by 10 x = 29 miles / 10
please help w this i don’t get it :(
Answer:80°
This is the answer i think hope this helps you
Conduct a survey based on the topic below and write a research report. You are required to collect, represent, analyse, interpret and report the data. The number of coins that teachers carry with them •
Research Report:
Title: The Number of Coins Carried by Teachers
Introduction:
This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.
The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.
Results and Analysis:
A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.
Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.
Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.
Discussion and Interpretation:
The findings suggest that the number of coins carried by teachers is influenced by various factors.
Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.
The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.
The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.
This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.
Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.
Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.
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In a random sample of 100 students from a large high school, 37 regularly bring a reusable water bottle from home. Which of the following gives the correct value and interpretation of the standard error of the sample proportion? (a) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home will be at most 0.095 from the true proportion. (b) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home will be at most 0.048 from the true proportion. is ne (c) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.095 from the true proportion.
(d) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion (e) There is not enough information to calculate the standard error.
The standard error tells us how much we can expect the sample proportion to vary from the true proportion in repeated samples of the same size. Option (d) correctly states that "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion." This means that if we were to take many samples of 100 students from the same school and calculate the proportion of students who bring a reusable water bottle from home in each sample, about 95% of the sample proportions would fall within +/-0.048 of the true proportion.
What is the best interpretation of the standard errorThe correct option is (d) "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion."
The standard error of the sample proportion can be calculated using the formula:
SE = √[p*(1-p) / n]
where p is the sample proportion and n is the sample size.
In this case, the sample proportion is 37/100 = 0.37 and the sample size is 100. Plugging in these values, we get:
SE = sqrt[0.37*(1-0.37) / 100] = 0.048
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An angle measures 8° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
41° and 49°
Step-by-step explanation:
Complementary angles are angles that sum up to 90°.
Let x represent the smaller angle, then the bigger angle will be represented with x + 8:
x + x + 8 = 90°
Add like terms.2x + 8 = 90°
Subtract 8 from both sides.2x = 82°
Divide both sides by 2.x = 41° this is the measure of smaller angle, then the bigger angle wpis 49°
The answer is:
⇨ 41 and 49Work/explanation:
If two angles are complementary, their measures add to 90°.
So we can set up an equation to find the angles. Let the unknown angle be w, and its complement will be w + 8:
w + w + 8 = 90
Combine like Terms
2w + 8 = 90
2w = 82
w= 41
The other angle measures 8° more than the measure of w:
41 + 8 = 49
Hence, the angles are 41 and 49°.Of the numbers 7, 8, 9, and 10, which is a solution to the inequality n – 5 < 3? Hurry Plz
Answer:
Answer of this question is 10
can someone answer these questions?
Answer:
The first question I got 1056.25
Step-by-step explanation:
Find the equation for the set of points whose distance from the y-axis equals the distance from the xz-plane.
Answer:
\($ x_1^2 + z_1^2 = y_1^2$\)
Step-by-step explanation:
Let \($ p(x_1, y_1, z_1)$\) be the point.
Any point on y-axis is (0, y, 0)
So, distance is
= \($ \sqrt{x_1^2+0 + z_1^2} $\)
= \($ \sqrt{x_1^2 + z_1^2} $\) ......(1)
Now any point on x-z plane is \($ ( x_1, 0, z_1 ) $\)
Distance from p to this point is
= \($ \sqrt{0+y_1^2 + 0} $\)
= \($\sqrt{y_1^2}$\) .........(2)
Equating (1) and (2), we get
\($ \sqrt{x_1^2 + z_1^2} = \sqrt{y_1^2}$\)
\($ x_1^2 + z_1^2 = y_1^2$\)
This is the required equation.
The number of salespeople assigned to work during a shift is apportioned based on the average number of customers during that shift. Apportion 16 salespeople using Jefferson's method given the information below.
Shift Morning Midday Afternoon Evening
Average number of customers 125 280 460 560
Salespeople to assign
What modified divisor did you use?
a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:
Shift Morning Midday Afternoon Evening Total
Number of
salespeople assigned 1 3 5 7 16
b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.
What is the standard divisor?The standard divisor shows the ratio of the total population to the number of seats.
The standard divisor gives an insight about the number of people each seat represents.
Standard divisor = Total number of customers / Total number of salespeople
The total number of customers = 1,425
The number of salespeople = 16
a) Standard divisor = 1,425 ÷ 16
= 89.0625
Shift Morning Midday Afternoon Evening Total
Average number of
customers 125 280 460 560 1,425
Standard divisor 89.0625 89.0625 89.0625 89.0625
b) Modified divisor 1.4035 3.1438 5.165 6.288
Number of
salespeople assigned 1 3 5 7 16
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A loan of $14,354 was repaid at the end of 16 months. What size repayment check (principal and interest) was written, if a 7.4% annual rate of interest was charged?
Principal = P = $14,354
Rate = r
The second angle of a triangle is 44 less than the first angle. The third angle is two times the first. Find the
three angles.
Answer:
1st: 56, 2nd: 12, 3rd: 112
Step-by-step explanation:
Let's allow "x" to represent the first angle. This would mean:
1st: x
2nd: x-44 [ The second is 44 less than the first(x) ]
3rd: 2x [ The third is double the first(x) ]
Then, we create and equation using each of these expressions, and set it equal to 180. This is because the sum off all the angles in a triangle is equivalent to 180.
x + x - 44 + 2x = 180
4x = 180 + 44 (224)
4x/4 = 224/4
x = 56
Finally, we insert the value of x into the expressions we made in the beginning.
1st: 56
2nd: 12
3rd: 112
To check our work, we simply need to verify whether this equation is true:
56+12+112=180
This equation is valid. Therefore, the answers provided are correct.
The width of a rectangle varies inversely with its length. If the width is 4 when the length is 12, find
the width when the length is 16.
Answer:
Yg skg sms skg skg eksklusif
Answer:
The answer is 8 :)
What is the perimeter of the given composite figure?
A) 140 ft
B) 175 ft
C) 170 ft
D) 182 ft
Answer: C = 170
Step-by-step explanation: 45+45+40+40 = 170
Answer:
Your answer is: B) 175ft
Step-by-step explanation:
To fid the perimeter you need to add all the sides together. Don't forget to add the sides that are not labeled, as well as the extra 5ft.
45+45+40+40+5=175
Two basketball players, Jerry and Henry, want to find out who has the greater height when compared to each of their teams. Jerry has a height of 72.5 inches, and his team has a mean height of 75.5 inches and a standard deviation of 2 inches. Henry has a height of 73 inches, and his team has a mean of 75 inches and a standard deviation of 2.5 inches. Who has the greater height when compared to each of their teams?
Answer:
Due to the higher z-score, Henry has the greater height when compared to each of their teams
Step-by-step explanation:
Z-score:
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Who has the greater height when compared to each of their teams?
Whoever has the higher z-score.
Jerry:
Jerry has a height of 72.5 inches, and his team has a mean height of 75.5 inches and a standard deviation of 2 inches. So \(X = 72.5, \mu = 75.5, \sigma = 2\)
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{72.5 - 75.5}{2}\)
\(Z = -1.5\)
Henry:
Henry has a height of 73 inches, and his team has a mean of 75 inches and a standard deviation of 2.5 inches. So \(X = 73, \mu = 75, \sigma = 2.5\)
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{73 - 75}{2.5}\)
\(Z = -0.8\)
Due to the higher z-score, Henry has the greater height when compared to each of their teams
Assume a normal distribution and that the average phone call in a certain town lasted 12 min, with a standard deviation of 2 min. What percentage of the calls lasted less than 6 min?
Answer:
I think it's 23 but I might be wrong
At Skyrocket Amusement Park, 30% of the rides are roller coasters. There are a total of
18 roller coasters. How many rides are there at Skyrocket Amusement Park in all?
Pick the model that represents the problem.
0%
10%
20%
30%
40%
50%
60%
70%
80%
90% 100%
0
18
?
0%
10%
20%
30%
40%
50%
60%
70%
80%
90% 100%
0
?
18
How many rides are there at Skyrocket Amusement Park in all?
Find the equation of a line that is perpendicular to the line x=-4 and contains the point (-9,9)
9514 1404 393
Answer:
y = 9
Step-by-step explanation:
The given line is a vertical line. The perpendicular line will be a horizontal line with the equation ...
y = constant
To make the line go through a point with a y-coordinate of 9, the constant must be 9.
y = 9 . . . . perpendicular to x = -4
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 9854 total votes, how many no votes were there?
There were approximately 6056 no votes.
Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.
Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.
The total number of votes is given as 9854, so we can set up the following equation:
\(5x + 8x = 9854\)
Combining like terms, we have:
\(13x = 9854\)
To solve for x, we divide both sides of the equation by 13:
\(x = \frac{9854 }{13}\)
\(x \approx 757.23\)
Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.
Now, we can find the number of no votes by multiplying x by the ratio of no votes:
No votes \(= 8x\)
\(= 8 \times 757\)
\(= 6056\)
Therefore, there were approximately 6056 no votes.
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Which of the following statement(s) is (are) true?
I. The set of all second-degree polynomials with the standard operations is a vector space. II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space. III. The set of second quadrant vectors with the standard operations is a vector space A) 1 B) II and III C) II and III D) 11
The true statement is; II. Option D
How to determine the correct statementsFrom the information given, we have that;
I. The set of all second-degree polynomials with the standard operations is a vector space
II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space
III. The set of second quadrant vectors with the standard operations is a vector space
Note that;
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