Answers
Answer:
Step-by-step explanation:
A=100
Related Questions
Find the equation of a straight line cutting off the y-intercept 4 from the axis of y and inclined to 60° with the positive direction of X-axis.
Answers
The linear function is given as follows:
\(y = \sqrt{x} + 4\)
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The y-intercept is of 4, hence the parameter b is given as follows:
b = 4.
The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:
m = tan(60º)
\(m = \sqrt{3}\)
Thus the function is given as follows:
\(y = \sqrt{x} + 4\)
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Of 120 students from College of Education DIVERS State 19 read both accoch tacy and sociology to read Accountacy or Sociology but not french 27 read Sociology but not accountary or french, 53 read sociology or french but 19 read French but not AccoLLA not Accountacy tacy or Sociology an French but not sociology and and 8 read Accountay Assume that each Student reads at least one of the courses. How many students read; (1) All three courses. (11) Only one course (11) two courses (N) Accountacy irrespective of sociology or french
Answers
(1) 6 students read all three courses.
(II) 37 students read only one course.
(III) 77 students read exactly two courses.
(IV) 73 students read Accountancy irrespective of Sociology or French.
How to solveLet A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.
Let X be the number of students reading all three.
From the information given:
A ∩ S = 19
A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)
S - A - X = 27
S + F - X = 53
F - X = 19
A - X = 86 - 19 = 67
Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120
Solving, we get X = 6, A = 73, S = 52, F = 25.
(1) 6 students read all three courses.
(II) 37 students read only one course.
(III) 77 students read exactly two courses.
(IV) 73 students read Accountancy irrespective of Sociology or French.
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Can someone please help me
Answers
Step-by-step explanation:
For y=g(x) and y = f(x), we can set f(x) = g(x) and go from there.
\(4(2)^{-x} +3 = 8-2^{x}\\4 (2)^{-x} - 5 = -2^{x}\\\)
Here, we simply subtracted 8 from both sides
Next, we can substitute u in for 2^x to get
4 * (1/u) - 5 = -u
4/u - 5 = -u
Multiply both sides by u
4 - 5u = -u²
Add u² to both sides
u² -5u +4 = 0
Factor
(u-4)(u-1) = 0
We now know that our solutions to this are u = 4 and u = 1, so we must figure out when 2^x = 4 and 2^x = 1. We can then figure out that 2² = 4 and 2^0 = 1, so our answers are 2 and 0 for the second question.
For the first, we can simply plug 2 and 0 into f(x) to get (2,4) and (2,7) as our answers
to make sure you understand the derivation based on the five assumptions (a-e), select the correct order in which the assumptions were used in the derivation above.
Answers
The correct order of the assumptions used in the derivation is: A, B, C, D, E. A states that the population is large, B: random, C: representative, D: large, and E states that the sampling is done without replacement.
The derivation of the Central Limit Theorem was based on five assumptions: (a) The population is large, (b) The sample is random, (c) The sample is representative, (d) The sample size is large, and (e) The sampling is done without replacement. The first assumption used in the derivation is that the population is large, which means that the number of individuals in the population is much greater than the sample size. This is important because the Central Limit Theorem states that the mean of the sample will approach the population mean as the sample size increases. The second assumption used is that the sample is random, which means that each individual in the population has an equal chance of being selected for the sample. This helps to ensure that the sample is representative of the population as a whole. The third assumption is that the sample is representative, which means that the characteristics of the sample are similar to those of the population. This is important because it allows us to make generalizations about the population based on the sample. The fourth assumption is that the sample size is large. This is important because the Central Limit Theorem states that the mean of the sample will approach the population mean as the sample size increases.
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A block of wood has a density of 0.6g/cm^3 and a volume of 1.2cm^3.What is the mass of the block of wood?
Answers
Answer:
Below
Step-by-step explanation:
You can use this formula to calculate the mass of an object
Mass = Volume x Density
Plugging everything in....
Mass = ( 1.2cm^3 ) ( 0.6g/cm^2 )
= 0.72 g
Hope this helps!
A professor is concerned that not enough courses at his college hold class meetings on Fridays. After speaking with administrators, the professor finds out that 15% of courses have class meetings on Fridays. At this school, classes meet on either Monday-Wednesday-Friday or 'Tuesday-Thursday and do not meet on Saturday or Sunday - The 15% figure is about right because Friday is one of seven days of the week.
- The 15% figure is low because it is less than 20%, and Friday is one of five days on which classes meet.
- We cannot make a decision about the 15% figure because we do not know how courses are divided among teaching days (e.g., Monday- Wednesday-Friday or Tuesday-Thursday).
- The 15% figure is high because students tend to skip classes on Fridays.
Answers
The 15% figure is low and indicates that there might be fewer classes held on Fridays compared to other weekdays.
% figure is low because it is less than 20%, and Friday is one of five days on which classes meet.
To better understand this, let's consider the following explanation:
In a week, classes meet on either Monday-Wednesday-Friday or Tuesday-Thursday, making a total of 5 class meeting days.
If classes were equally distributed between the two schedules, we would expect 3 out of the 5 class meeting days (or 60%) to have classes on Mondays, Wednesdays, and Fridays, and the remaining 2 out of 5 days (or 40%) to have classes on Tuesdays and Thursdays.
However, the professor found out that only 15% of courses have class meetings on Fridays, which is less than the expected 20% if the courses were evenly distributed (since Friday is one of the five class meeting days).
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The scouts were constructing a scale model of their clubhouse. They were building the model out of toothpicks.
Below are some of the measurements they used.
One wall was made of 18 bricks and they used 3 toothpicks on the model.
A second wall they built used 6 toothpicks to represent 36 bricks on the actual clubhouse.
What was the scale factor (bricks : toothpicks) being used by the scouts?
A 6:1
B 8:1
12:1
D 16:1
Answers
In the following diagram,
What is the measure of
∠x
Answers
Answer:
Step-by-step explanation:
BAD = 42
x + 103 + 42 = 180
x = 180 - 145
x = 35
I NEED HELP WITH THIS QUESTION PLEASE NO LINKS!!!
Answers
Answer:
-1/3
Hope this helps also I would appreciate brainliest is possible please :)
Answer:
c
Step-by-step explanation:
How many solutions does the system of equations below have? y=-3/4x+1/6
Answers
The solution is the point (0, 1/6) y = 1/6
Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.
In this case, the equation is in slope-intercept form (y = mx + b),
where m represents the slope (-3/4) and b represents the y-intercept (1/6).
The slope-intercept form allows us to determine various properties of the equation.
Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.
Each pair of x and y values that satisfy the equation represents a solution.
For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:
y = (-3/4)(0) + 1/6
y = 1/6
Therefore, the solution is the point (0, 1/6).
In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.
Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of
the second and third angles is five times the measure of the first angle. The third angle
is 26 more than the second. Let x, y, and z represent the measures of the first, second,
and third angles, respectively. Find the measures of the three angles.
Answers
The measures οf the three angIes are x = 51.43 degrees, y = 92.85 degrees, and z = 118.85 degrees.
What is Iinear equatiοn?A Iinear equatiοn is a mathematicaI equatiοn that describes a straight Iine in a twο-dimensiοnaI pIane.
We can use the infοrmatiοn given in the prοbIem tο fοrm a system οf three equatiοns with three variabIes. Let x, y, and z represent the measures οf the first, secοnd, and third angIes, respectiveIy.
Frοm the first piece οf infοrmatiοn, we knοw that: x + y + z = 180
Frοm the secοnd piece οf infοrmatiοn, we knοw that: y + z = 5x
Frοm the third piece οf infοrmatiοn, we knοw that: z = y + 26
We can substitute the third equatiοn intο the secοnd equatiοn tο eIiminate z:
y + (y + 26) = 5x
2y + 26 = 5x
2y = 5x - 26
y = (5x - 26)/2
We can substitute this expressiοn fοr y intο the first equatiοn tο eIiminate y and z:
x + (5x - 26)/2 + (5x - 26)/2 + 26 = 180
2x + 5x - 26 + 26 = 360
7x = 360
x = 51.43
We can substitute this vaIue οf x back intο the expressiοn fοr y tο find y:
y = (5x - 26)/2
y = (5(51.43) - 26)/2
y = 92.85
FinaIIy, we can use the equatiοn z = y + 26 tο find z:
z = y + 26
z = 92.85 + 26
z = 118.85
Therefοre, the measures οf the three angIes are x = 51.43 degrees, y = 92.85 degrees, and z = 118.85 degrees.
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Write the anwser in the simplest form.
Answers
Answer:
6/9
Step-by-step explanation:
really sorry if I'm wrong good luck!
A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank and the proportion of its "small" customers who also have an account with another bank. Of the 200 “big” customers who were randomly selected, 160 claimed to also bank with other banks. Of the 300 “small” customers who were randomly selected, 120 claimed to also bank with other banks.
Based on the 99% confidence interval (0.297, 0.503), is there convincing evidence of a difference in the proportion of “big” bank customers who bank with more than one bank as compared with the “small” customers who bank with more than one bank?
Because
contained in the interval, there is
to believe there
a difference in the proportion of “big” bank customers who bank with more than one bank as compared to the “small” customers who bank with more than one bank.
Answers
Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.
The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.
To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.
Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.
Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.
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5. Refer to the image in question #2. Determine whether the following
statement is true or false, "If the front base edge of the rectangular prism is
decreased by 1 inch, it will hold more than the triangular prism."*
True
False
Answers
Two linear functions, f(x) and g(x), are combined by addition to form h(x). The same two linear functions are combined by multiplication to form j(x). Graphs of the resulting combined functions are shown. Which statements are true? Check all that apply. Graph A represents j(x). Graph A represents h(x). The y-intercepts for f(x) and g(x) can be 1 and 3. The y-intercepts for f(x) and g(x) can be 3 and 4. The rate of change of the sum of f(x) and g(x) is greater than that of either function.
Answers
Answer: this is the right answer Graph A represents j(x). The y-intercepts for f(x) and g(x) can be 1 and 3. And The rate of change of the sum of f(x) and g(x) is greater than that of either function. your welcome
Step-by-step explanation:
The rate of change of the sum of f(x) and g(x) is greater than that of either function.
How to determine the true statement?From the question, we have the following parameters:
h(x) = f(x) + g(x)j(x) = f(x) * g(x)The graphs of the functions are not given;
However, if all the functions are linear functions, then the slopes of the sum of functions f(x) and g(x) could be greater than the slopes of h(x) and j(x)
Hence, the true statement (by observation) is (c)
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Find the value of this expression if x=-9.
Answers
Answer:
if x = -9
then, (-9)×(-9) + 3
= 81 +3
= 84
(-9) + 6
= -3
so, ans is = 84/(-3)
= (-84)/3
Please please help :((((
Answers
Answer:
y = x-4
Step-by-step explanation:
The y intercept is -4
We have 2 points so we can find the slope
( 0,-4) and(4,0)
m = ( y2-y1)/(x2-x1)
= ( 0- -4)/ (4-0)
= 4/4
=1
The slope intercept form is
y = mx+b
y = 1x-4
y = x-4
There are 738 students going on a school field trip. Each bus can carry 33 students. How many buses should the school reserve?
Answers
Answer:
23 buses
Step-by-step explanation:
It comes to 22.3636364 so you need to round up.
#11: Write the equation below in standard form.
*
y - 2 = -4(x - 1)
Answers
Answer:
y - 2 = -4x + 4
Step-by-step explanation:
Just simplify is out ^-^
4 x + y = 6 Should do the trick
present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.
Answers
Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.
Calculating the duration to get the sum to 45Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.
Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;
let x represent the number of years from now when the sum of square of their respective age will be
45.(x + 2)² + (x + 5)² = 45
Expanding the brackets;
x² + 4x + 4 + x² + 10x + 25 = 45
2x² + 14x + 29 = 45
2x² + 14x + 29 - 45 = 0
2x² + 14x - 16 = 0
Solving the quadratic equation for x;
x = 1, x = -8
Taking the positive value, the value of x is 1
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Question 5 of 10
Which of the following is most likely the next step in the series?
CO
Answers
Answer:
c. because the first one has 6 sides the second one has 5 sides and the third one has 4 sides so that means has 3 sides which is the triangle.
What is the value of c in the equation 2c + 5(c − 5) = 10? 02510
Answers
Answer:
c=5
Explanation:
Given the equation:
\(2c+5\left(c−5\right)=10\)First, open the bracket:
\(\begin{gathered} 2c+5\left(c)−5(5\right)=10 \\ 2c+5c-25=10 \\ 7c-25=10 \end{gathered}\)Next, add 25 to both sides:
\(\begin{gathered} 7c-25+25=10+25 \\ 7c=35 \end{gathered}\)Finally, divide both sides by 7:
\(\begin{gathered} \frac{7c}{7}=\frac{35}{7} \\ c=\frac{5\times7}{7} \\ c=5\times\frac{7}{7} \\ c=5\times1 \\ c=5 \end{gathered}\)The value of c in the equation is 5.
Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.
Answers
The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).
To find an ordered triple representing \(3u - 2v\),
where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),
we can perform the following operations:
\(3u = 3(5, -2, 3)\)
\(3u = (15, -6, 9)\)
\(2v = 2(1, 1, 2)\)
\(2v = (2, 2, 4)\)
Now, subtracting 2v from 3u gives:
\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)
\(3u - 2v = (15-2, -6-2, 9-4)\)
\(3u - 2v = (13, -8, 5)\)
Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).
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plssssssssssssssss help me i need help
Answers
I don’t wanna fail if you know the answer pls help :(
Answers
Answer:
26.64 or 27 is the answer because rounded 26.6 will turn to 27.00
The following angles are supplementary to each other.
m∠C = (x + 19)° and m∠D = (3x − 19)°
Determine x.
60
45
38
19
Answers
Answer:
45
Step-by-step explanation:it gives you the answer chiices if you plug each number into x and then do the equation you will get 180
Answer: 45
Step-by-step explanation:
Did the test.
Graph g(x) = f(x) + 2
Answers
Answer:
You cannot graph this equation. So there is no solution.
The answer is no solution
Step-by-step explanation:
HELP PLEASE ITS ON EDGE
Answers
it might be adding by 2’s in x.
7+2=9
9+2=11
11+2=13
and for y it might be going by 1’s.
16. 17. 18. 19.
i’m not that sure if it’s C.
Write the following ratios in their simplest form.
27:30
Answers
Answer:
9/10
Step-by-step explanation:
Answer:
9:10
Step-by-step explanation:
27:30 = 9:10
BRAINLIEST PLEASE
aley was asked to solve this system of equations:
Answers
The required value of the F in the matrix is given as -8. Option B is correct.
Given that,
A system of equations is given, convert the equation into matrix form, and determine the corresponding value of the F.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
-2x + 5y -3z = -25
-4x - 3y - 8z = -39
6x + 8y - 5z = 14
Converting the above system of equations in the matrix form,
\(\left[\begin{array}{ccc}-2&5&-3\\-4&-3&-8\\6&8&-5\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}-25\\-39\\14\end{array}\right]\)
Now compare the above matrix with the given matrix, where F = -8
Thus, the required value of the F in the matrix is given as -8. Option B is correct.
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