Hen interpreting f (7, 31) = 4.78, p > 0.05, how many subjects were tested in this simple one-way anova?
39 subjects were tested in this simple one-way ANOVA.
The df for F distribution is (treatment df, error df)
Using given information
Treatment df = 7
Error df = 31
Total df= 7+31 = 38
Again, total df = N-1, N= number of subjects tested
Then, N-1 = 38
=> N= 39
One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.
The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.
For more information about one-way ANOVA,visit
brainly.com/question/24157862
#SPJ4
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
(13-(1+2))(2)
-----------------
4
Answer:
5
Step-by-step explanation:
(13−(1+2))(2)
4
= (13−3)(2)
4
= (10)(2)
4
= 20
4
= 5 (the answer is 5)
4. in a survey of 3611 adult americans 18 years and older conducted in july 2010, it was found that 542 have used their smartphone to make a purchase. find the 90% confidence interval for the population proportion of adult americans who have used their smartphone to make a purchase. interpret this confidence interval in a sentence.
In other words, based on the given sample, we can say with 90% confidence that between 13.5% and 16.5% of adult Americans have used their smartphone to make a purchase.
To find the 90% confidence interval for the population proportion of adult Americans who have used their smartphone to make a purchase, we can use the following formula:
CI = p ± z*√((p(1-p))/n)
where:
p = sample proportion
= 542/3611
= 0.15 (rounded to two decimal places)
n = sample size
= 3611
z = z-score for 90% confidence level
= 1.645 (from standard normal distribution table)
Plugging in the values, we get:
CI = 0.15 ± 1.645*√((0.15(1-0.15))/3611)
= 0.15 ± 0.015
This means that we are 90% confident that the true proportion of adult Americans who have used their smartphone to make a purchase is somewhere between 0.135 and 0.165.
To know more about confidence interval,
https://brainly.com/question/27375978
#SPJ11
Which of the following numbers
is not equal to the others?
Enter a, b, c, d, or e.
a. 2.5%
c. 2.5 x 10-2
e. 0.025
b.
d.
75
30
Answer:
The question appears garbled. Check my assumption below before accepting this answer:
b and d are not equal to the others.
Step-by-step explanation:
The question appears garbled. I'll assume the table to be:
a. 2.5%
c. 2.5 x 10-2
e. 0.025
b. 75
d. 30
I doubt the values of 75 and 30 are actual options. We can eliminate them. The remaining options are a, b and e:
a. 2.5%
b. 2.5x10^-2
e. 0.025
a, can be written as 0.025
b. is already 0.025
e. can be rewritten as 0.025
a, b, and e are all equal.
b and d came from Mars
The graph represents the system of inequalities shown below. Determine whether the statement that follows the graph is true or false.
Answer:
false
Step-by-step explanation:
there is no graph...
Which summation formula represents the series below?
13 + 9 +5 + 1
Answer:
A
Step-by-step explanation:
edg 2021
I need help here and fast
The image here given an example of perpendicular line.
Correct option is: yes, the lines are intersect at right angle.
What does two perpendicular lines look like?Two lines are perpendicular if they cross at a point where they provide a pair of linear angles that are congruent. If a transversal in a plane is parallel to one of two parallel lines, it is also parallel to the other line. Lines that cross at a straight angle (90°) are said to be perpendicular. Perpendicular lines are those that cross at a right angle when two non-vertical lines in the same plane. Vertical and horizontal lines, or the axes of the coordinate plane, are perpendicular to one another. Two parallel lines' slopes have negative reciprocal slopes.
To know more about perpendicular line refer to:
https://brainly.com/question/1202004
#SPJ1
A computer monitor is 23 inches which is the diagonal distance across the screen.If the screen measures 13 inches in height,what is the actual width of the screen to the nearest inch?
Answer:
width = 19 inches
Step-by-step explanation:
Pythagorean theorem
23^2 = 13^2+x^2
529 = 169+x^2
x^2 = 360
x = 18.97
The actual width of the screen to the nearest inches will be 18.97 inches.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
A PC screen is 23 inches which is the slanting distance across the screen.
If the screen measures 13 inches in height. Then the actual width of the screen will be given as,
23² = 13² + B²
529 = 169 + B²
B² = 360
B = √360
B = 18.97 inches
The actual width of the screen to the nearest inches will be 18.97 inches.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ5
Lelah has budgeted $135
for new clothes. She decides to buy a pair of shoes that cost $35.25,
and then she buys some $18.25
shirts.
Which inequality represents this situation, where s
is the number of shirts she can buy?
The inequality that this situation, where s is the number of shirts she can buy is S>81.5.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
We are given that;
Budget of lelah for clothes= $135
For shoes= $35.25
For shirts= $18.25
Now,
S+$18.25+35.25>135
S>135-18.25-35.25
S>135-53.5
S>81.5
Therefore, the inequality will be S>81.5.
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ1
Unit 2: Logic & Proof
Homework 2: Compound Statements
on using disjunctive syllogism to derive Q from the second premise and the derived value of A. if P is true, then Q must also be true..
In logic, a compound statement is made up of two or more simple statements, known as premises or assumptions, that are combined using logical operators such as "and," "or," and "not." To prove a compound statement, we use rules of inference to derive a conclusion based on the given premises.
In the first proof question, we are given three premises: P, P or R, and not S or A. We need to prove the statement Q using these premises. To do so, we use the disjunctive syllogism rule, which states that if one of two disjunctive statements is false, then the other must be true. By assuming ~P, we derive ~S from the third premise using the rule of disjunction. Then, using modus ponens, we derive A from the assumption of ~P and the third premise. Finally, we use disjunctive syllogism to derive Q from the second premise and the derived value of A.
In the second proof question, we are given three premises: not P or S, not S, and R or Q. We need to prove the statement P implies Q using a conditional world proof. We assume P is true and derive S using the first premise. Using the second premise and modus tollens, we derive not R. Finally, using disjunctive syllogism, we derive Q from the third premise and the derived value of not R. Therefore, we show that if P is true, then Q must also be true..
To know more about disjunctive syllogism. click here:
brainly.com/question/22173899
#SPJ4
A researcher was interested in the relationship between a swimmer’s hand length and corresponding time to complete the 100-meter freestyle. The researcher selected a random sample of twenty swimmers from all participants in a swim competition. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle?.
To investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a linear regression t-test.
1. The researcher collects data on hand length and 100-meter freestyle completion time for twenty randomly selected swimmers.
2. Calculate the correlation coefficient (r) to measure the strength and direction of the relationship between hand length and freestyle completion time.
3. Perform a linear regression analysis to obtain the slope (b) and the y-intercept (a) of the best-fit line.
4. Conduct a linear regression t-test to determine if the slope (b) is significantly different from zero at a 5 percent level of significance.
5. If the t-test results in a p-value less than 0.05 (5 percent level of significance), there is convincing evidence that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle.
to learn more about linear regression t-test click here:
brainly.com/question/29993626
#SPJ11
type the integers that makes the following addition sentence true + (-11) + 12=-16
Answer:
The answer is -17.
Step-by-step explanation:
-17+(-11)+12=
-17+(-11)=-28+12= -16
Answer:
the answer is -15 so this statement is false sry if I didn't answer what u needed
Step-by-step explanation:
The way I figure it out is by a timeline but with numbers. zero goes in the middle and numbers going right are and numbers going left are negitive.
What is rate of change for 3=2x-21
Answer:
Step-by-step explanation:
I believe I need 2 variables to properly work this out but x=12
3=2x-21
24=2x
12=x
Mark went to the hobby shop and bought 2 lego sets at $38.95 each and some remote car. If he
spent a total of $121.85, what was the cost of the remote car?
Answer:
43.95
Step-by-step explanation:
38.95*2 = 77.9
77.9 + x = 121.85
x = 121.85 - 77.9
x = 43.95
I need help with this problem please and thank you
The transformation here is; the original function was moved '1' unit downwards.
What is the Transformation of the given Function?Transformations simply takes the basic function and transforms it to another function.
The rules of transformation are;
f(x) transformed to f(x) + a means that the function will be moved 'a' units upwards.f(x) transformed to f(x) - a means that the function will be moved 'a' units downwards.f(x) transformed to f(x + a) means that the function will be moved 'a' units to the left.f(x) transformed to f(x - a) means that the function will be moved 'a' units to the rightFrom the question, the original function is;
f(x) = x + 4
Now, we are told that it undergoes a transformation to;
f(x + 4) - 1
From the transformation rules above, we can say that the transformation here is; the original function was moved '1' unit downwards.
Read more about Transformation at; https://brainly.com/question/4289712
#SPJ1
Identify the graph and describe the solution set of this system of inequalities.
y < -3x - 2
y > -3x + 8
a. Linear graph; solution set is a line segment.
b. Parabolic graph; solution set is a parabola.
c. Hyperbolic graph; solution set is a hyperbola.
d. Circular graph; solution set is a circle.
The graph of the given system of inequalities is a linear graph, and the solution set is the region below the line y = -3x - 2 and above the line y = -3x + 8. Since the lines are not parallel, the solution set will be a line segment.
The graph and solution set of the given system of inequalities are:
Option a. Linear graph; solution set is a line segment.
Step-by-step explanation: The given system of inequalities is:y < -3x - 2 ……….. (1)
y > -3x + 8 ……….. (2)
Let's draw the graphs of the given inequalities: Graph of y < -3x - 2:First, draw the line y = -3x - 2:Mark a point at (0, -2).
Slope of the line is -3, i.e. it falls 3 units for each 1 unit it runs. Move 1 unit to the right and 3 units down from (0, -2) and mark another point. Connect both points to draw a straight line. Since y is less than -3x - 2, the solution set will lie below the line and will not include the line itself. Graph of y > -3x + 8:First, draw the line y = -3x + 8:Mark a point at (0, 8).Slope of the line is -3, i.e. it falls 3 units for each 1 unit it runs. Move 1 unit to the right and 3 units down from (0, 8) and mark another point. Connect both points to draw a straight line. Since y is greater than -3x + 8, the solution set will lie above the line and will not include the line itself. Therefore, the graph of the given system of inequalities is a linear graph, and the solution set is the region below the line y = -3x - 2 and above the line y = -3x + 8.
Since the lines are not parallel, the solution set will be a line segment.
To Know more about Linear graph visit:
https://brainly.com/question/28494690
#SPJ11
The given system of inequalities is: y < -3x - 2y > -3x + 8. The graph and the solution set of this system of inequalities is a. Linear graph; solution set is a line segment.
Graph of the system of inequalities: The graph represents the lines y = -3x - 2 and y = -3x + 8.
It is a linear graph.
Both the lines are of the same slope, i.e., -3.
The line y = -3x - 2 is the lower line, and the line y = -3x + 8 is the upper line.
The region below the line y = -3x - 2 and above the line y = -3x + 8 is the feasible region.
The points in this region satisfy the given system of inequalities.
Hence, the solution set of this system of inequalities is a trapezoidal region.
The correct option is: a. Linear graph; solution set is a line segment.
To know more about Linear graph, visit:
https://brainly.com/question/28393413
#SPJ11
I’ll give brainliest for whoever is correct
Answer:
Step-by-step explanation:
1.)12.
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator.
Thus, the answer to 4 divided by 1/3 in fraction form is:
\(\frac{12}{1}\)
To make the answer to 4 divided by 1/3 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
12
The answer is rounded to the nearest two decimal points if necessary.
\(\frac{12}{1}\) is an improper fraction and should be written as 12.
2.) 9
A car repair shop receives an average of 10 cars a day that require each a technician to work on them. The average number of days that a car requires the technician is 7 days. The repair shop has 80 technicians that can be called at any time. 1. What is the average number of repairmen present at any given time in the autoshop? а 2. If the arrivals form a Poisson process and the repairman's work time has an exponential distribution, draw the state space diagram of the CTMC. 3. Under this scenario, what is the probability that the car shop has to turn away customers (because of the lack of repairmen available)? 4. How many repairmen should the auto store recruit for this probability to be less than 1%? 5. If the turned away cars are kept on a waiting list instead of rejected, how many repairmen would we need so that the waiting time for a car is less than 2 days?
The average number of repairmen present at any given time in the auto shop can be calculated using Little's Law, which states that the average number of entities in a system is equal to the average arrival rate multiplied by the average time spent in the system. In this case, the average arrival rate is 10 cars per day, and the average time spent in the system (technician working on a car) is 7 days. Therefore, the average number of repairmen present at any given time is:
Average number of repairmen = Average arrival rate * Average time spent = 10 cars/day * 7 days = 70 repairmen
The state space diagram of the Continuous-Time Markov Chain (CTMC) for this scenario can be represented as follows:
State 0: No cars in the system
State 1: 1 car being repaired
State 2: 2 cars being repaired
...
State 80: 80 cars being repaired (maximum capacity)
The transitions between states are determined by the arrivals and departures of cars. Each arrival increases the state by 1, and each departure decreases the state by 1.
The probability that the car shop has to turn away customers due to the lack of repairmen available can be determined by calculating the probability of the system being at the maximum capacity (80 cars being repaired). This can be calculated using the formula for the steady-state probability distribution of a CTMC. Without further information about the arrival and departure rates, it is not possible to provide an exact probability.
To ensure that the probability of turning away customers is less than 1%, the auto shop would need to recruit enough repairmen to increase the maximum capacity of the system. This would depend on the arrival and departure rates, and a detailed analysis would be required to determine the exact number of repairmen needed.
If the turned away cars are kept on a waiting list instead of being rejected, the waiting time for a car to be repaired would depend on the number of cars in the system and the rate at which repairs are completed. To ensure that the waiting time for a car is less than 2 days, the auto shop would need to recruit enough repairmen to reduce the average time spent in the system to less than 2 days. The exact number of repairmen required would depend on the arrival rate of cars and the rate at which repairs are completed, and a detailed analysis would be necessary to determine the specific number.
learn more about average here
https://brainly.com/question/24057012
#SPJ11
an automatic machine inserts mixed vegetables into a plastic bag. past experience revealed that some packages were underweight and some were overweight, but most of them had satisfactory weight. weight % of total underweight 2.5 satisfactory 90.0 overweight 7.5 what is the probability of selecting three packages that are satisfactory? multiple choice 0.729
In this problem, we are given the percentage of bags that are underweight, satisfactory, and overweight. We are asked to find the probability of selecting three bags that are either underweight, satisfactory, or overweight.
To find the probability of selecting three bags that are overweight, we need to multiply the probability of selecting one overweight bag by itself three times, since we are selecting three bags. The probability of selecting one overweight bag is 7.5%, or 0.075. Therefore, the probability of selecting three overweight bags is (0.075)^3 = 0.000421875, or approximately 0.042%.
To find the probability of selecting three bags that are satisfactory, we also need to multiply the probability of selecting one satisfactory bag by itself three times. The probability of selecting one satisfactory bag is 90%, or 0.9. Therefore, the probability of selecting three satisfactory bags is (0.9)^3 = 0.729, or approximately 72.9%.
To learn more about probability, click here:
brainly.com/question/30034780
#SPJ11
Complete question:
An automatic machine inserts mixed vegetables into a plastic bag. Past experience shows that some packages were underweight and some were overweight, but most of them had satisfactory weight.
Weight % of Total
Underweight 2.5
Satisfactory 90.0
Overweight 7.5
a) What is the probability of selecting and finding that all three bags are overweight?
b) What is the probability of selecting and finding that all three bags are satisfactory?
NEED HELP LOTS OF POINTS!!! Diego had $21.32 and gave $9.50 to Elena. How much did he have left?
Answer:
11.18
Step by Step Explanation:
Subtract 9.5 from 21.23
If we multiply three consecutive integers and then add the middle number to the result, the answer is always the middle number cubed.
5 × 6 × 7 + 6 = 216 = 63
10 × 11 × 12 + 11 = 1331 = 113
15 × 16 × 17 + 16 = 4096 = 163
Use what you have learned in this lesson to write a third-degree polynomial expression in factored form and standard form that represents this pattern. Show that the factored form is equivalent to the expression written in standard form. Substitute three different values for the variable to prove this pattern works for other numbers.
Step-by-step explanation:
Let use have a interger,n
Thus three consectice intergers can be represented by
\(n\)
\(n + 1\)
\(n + 2\)
Multiply, and we get
\(n(n + 1)(n + 2)\)
\(n( {n}^{2} + 3n + 2)\)
\(n {}^{3} + 3 {n}^{2} + 2n\)
Then add the middle number, n+1.
\( {n}^{3} + 3n {}^{2} + 3n + 1\)
We must prove that the middle number cubed = the equation.
Using the binomial theroem,
\((n + 1) {}^{3} = {n}^{3} + 3( {n}^{2} 1 {}^{1} ) + 3n( {1}^{2} ) + 1 {}^{3} \)
\((n + 1 ){}^{3} = {n}^{3} + 3 {n}^{2} + 3n + 1\)
So this is indeed true.
You can do the subsitue variables for n to prove it.
4 raise to power 1over6 x 4 raised to power 1 over3
Answer:
32
Step-by-step explanation:Reduce the expression, if possible, by cancelling the common factors.
The magnitude of vector
A
is 7.5 m. It points in a direction which makes an angle of 145
∘
measured counterclockwise from the positive x-axis. (a) What is the x component of the vector −2.5
A
? m (b) What is the y component of the vector −2.5
A
? m (c) What is the magnitude of the vector −2.5
A
? m following vectors? Give the directions of each as an angle measured counterclockwise from the +x-direction. (a)
A
+
B
magnitude unit(s) direction ∘ (counterclockwise from the +x-axis) (b)
A
−
B
magnitude unit(s) direction ∘ (counterclockwise from the +x-axis) (c)
B
−
A
magnitude unit(s) direction - (counterclockwise from the +x-axis)
(a) -2.5A has an x-component of 13.225 m and a y-component of -10.857 m. (b) For A + B, the magnitude is approximately 18.098 m, and the direction is approximately 14.198° counterclockwise from the +x-axis. (c) For A - B and B - A, both have a magnitude of approximately 28.506 m, and the direction is approximately -8.080° counterclockwise from the +x-axis.
Given Magnitude of vector A: |A| = 7.5 m
Angle from the positive x-axis: θ = 145° (counterclockwise)
(a) X-component of vector A:
Ax = |A| * cos(θ)
= 7.5 * cos(145°)
≈ -5.290 m
(b) Y-component of vector A:
Ay = |A| * sin(θ)
= 7.5 * sin(145°)
≈ 4.343 m
Now, let's calculate the components of vector -2.5A.
(a) X-component of -2.5A:
(-2.5A)x = -2.5 * Ax
= -2.5 * (-5.290 m)
≈ 13.225 m
(b) Y-component of -2.5A:
(-2.5A)y = -2.5 * Ay
= -2.5 * (4.343 m)
≈ -10.857 m
Next, let's consider vector B, which has triple the magnitude of vector A and points in the +x direction.
Given:
Magnitude of vector B: |B| = 3 * |A| = 3 * 7.5 m = 22.5 m
Direction: Since vector B points in the +x direction, the angle from the positive x-axis is 0°.
Now, we can calculate the desired quantities using vector addition and subtraction.
(a) A + B: Magnitude: |A + B| = :\(\sqrt{((Ax + Bx)^2 + (Ay + By)^2)}\)
= \(\sqrt{((-5.290 m + 22.5 m)^2 + (4.343 m + 0)^2)}\)
= \(\sqrt{((17.21 m)^2 + (4.343 m)^2)\)
≈ 18.098 m
Direction: Angle from the positive x-axis = atan((Ay + By) / (Ax + Bx))
= atan((4.343 m + 0) / (-5.290 m + 22.5 m))
= atan(4.343 m / 17.21 m)
≈ 14.198° (counterclockwise from the +x-axis)
(b) A - B: Magnitude: |A - B| = \(\sqrt{((Ax - Bx)^2 + (Ay - By)^2)}\)
= \(\sqrt{((-5.290 m - 22.5 m)^2 + (4.343 m - 0)^2)}\)
= \(\sqrt{((-27.79 m)^2 + (4.343 m)^2)}\)
≈ 28.506 m
Direction: Angle from the positive x-axis = atan((Ay - By) / (Ax - Bx))
= atan((4.343 m - 0) / (-5.290 m - 22.5 m))
= atan(4.343 m / -27.79 m)
≈ -8.080° (counterclockwise from the +x-axis)
(c) B - A:Magnitude: |B - A| = \(\sqrt{((Bx - Ax)^2 + (By - Ay)^2)}\)
= \(\sqrt{((22.5 m - (-5.290 m))^2 + (0 - 4.343 m)^2)}\)
= \(\sqrt{((27.79 m)^2 + (-4.343 m)^2)}\)
≈ 28.506 m
Direction: Angle from the positive x-axis = atan((By - Ay) / (Bx - Ax))
= atan((0 - 4.343 m) / (22.5 m - (-5.290 m)))
= atan((-4.343 m) / (27.79 m))
≈ -8.080° (counterclockwise from the +x-axis)
So, the complete step-by-step calculations provide the values for magnitude and direction for each vector addition and subtraction.
Learn more about magnitude here: https://brainly.com/question/31616548
#SPJ11
The complete question is:
The magnitude of vector A is 7.5 m. It points in a direction which makes an angle of 145 ∘ measured counterclockwise from the positive x-axis. (a) What is the x component of the vector −2.5 A ? m (b) What is the y component of the vector −2.5 A ? m (c) What is the magnitude of the vector −2.5 A ? m following vectors? Give the directions of each as an angle measured counterclockwise from the +x-direction. If a vector A has a magnitude 9 unitsand points in the -y-directionwhile vector b has triple the magnitude of A AND points in the +x direction what are te direction and magnitude of the following.
(a) A + B magnitude unit(s) direction ∘ (counterclockwise from the +x-axis) (b) A − B magnitude unit(s) direction ∘ (counterclockwise from the +x-axis) (c) B − A magnitude unit(s) direction - (counterclockwise from the +x-axis)
Find slope of the line shown on the graph to the right
Answer:
Y= x + 1
I really hope this helps you
MATHS HW
P, Q, R and S are points on a circle, centre C.
PCR is a straight line.
Angle PRS = 36°.
Calculate the size of angle RQS.
Answer:
RQS= 54°
Step-by-step explanation:
Angles in a segment are equal.
90-36=54
The measure of <RQS is 54 degree.
What is Exterior angle Theorem?The exterior angle that results from stretching a triangle's side is equal to the sum of the dimensions of the triangle's two opposed interior angles.
Given:
Connect point S and C for SC= RC.
So, <CSR = <PRS= 36 {Equal sides to equal Angle}
Then, <SCP = <CSR + <PSR
= 36+ 36
= 72
Now, <SCP = <SPC = 1/2 (180- <SCP)
= 54
Now, the inscribes angle of the same Arc are same.
<RQS = <SPC = 54 degree.
Learn more about exterior angle Theorem here:
https://brainly.com/question/2995226
#SPJ2
y = x + 1 y = − 4x − 4
Answer:
2y=3x=-4
Step-by-step explanation:
grouping like terms
y+ly =4x-x=-4
2y=3x=-4
solve for m
please help right now im soo confuseds☹️
Answer:
m= 27
Step-by-step explanation:
m° +66° +m°= 120° (vert. opp. ∠s)
Simplify:
2m° +66°= 120°
2m°= 120° -66°
2m°= 54°
Divide both sides by 2:
m°= 54° ÷2
m°= 27°
m= 27
What are vertically opposite angles?
When two lines intersect, the angles facing opposite each other are equalAbbreviated as 'vert. opp. ∠s'if my y-int is (5,0) and my x-int is (0,80) what is my vertex??
PLEASE HELP ME
The vertex of the Quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).
The vertex of a quadratic function given the y-intercept and x-intercept, we need to determine the axis of symmetry, which is the line that passes through the vertex. The x-coordinate of the vertex will be the midpoint between the x-intercepts, while the y-coordinate will be the same as the y-intercept.
Given that the y-intercept is (5, 0) and the x-intercept is (0, 80), we can determine the x-coordinate of the vertex by finding the midpoint of the x-intercepts. The x-coordinate of the midpoint is simply the average of the x-values:
x-coordinate of vertex = (0 + 0) / 2 = 0 / 2 = 0
Since the y-coordinate of the vertex is the same as the y-intercept, the vertex will have the coordinates (0, 0).
Therefore, the vertex of the quadratic function is (0, 0).
In conclusion, the vertex of the quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).
To know more about Quadratic function.
https://brainly.com/question/25841119
#SPJ8
If both pairs of opposite sides of a quadrilateral are congruent, then thequadrilateral is a parallelogram.A. TrueB. False
Answer:
True
Explanation: