Answers
The value of the gradient is 1
How to determine the gradientThe gradient of a line can be described as s the measure of the degree of steepness of a straight line.
It can be either positive or negative.
Another name for gradient is slope.
The formula for calculating the gradient of a line is expressed as;
Slope, m = y₂ - y₁/x₂ - x₁
From the graph shown, let us pick the line of best fit, we have that;
y₂ = 6
y₁ = 3
x₂ = 4
x₁ = 1
Now, substitute the values, we get;
Slope, m = 6 - 3/4 - 1
subtract the values
Slope, m = 3/3
Divide the values
Slope, m = 1
Hence, the value is 1
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Related Questions
(-9, -6) and (3, -9) I keep getting my answer right but it is saying it's not the right answer so I need help-
Answers
A robot along the surface of the curved pit reaches a ( blank 1) depth of ( blank 2) feet.
Blank 1 ( maximum, minimum, or constant.)
Blank 2 ( -3,-9, 4, or -7)
The equation above for this question is y=0.75x^2 - 13.5x + 57.75
Answers
Answer: Minimum; -3
Step-by-step explanation:
I found the answer by entering it into Desmos Graphing Calculator and then looking at the point of the vertex, which in this case would be (9,-3).
You could also find the x-intercepts, (p,0) and (q,0), using the quadratic formula and then plug them into the equation: x=p+q/2 which will give you your axis of symmetry, or your x value in your vertex. Then, plug that number into your equation. You can plug it into the equation you posted here or the equation of your x-intercepts. (x-p) (x-q) Keep in mind that the minus refers to you putting the opposite of your x-intercept. For example, if your x-intercept was 4, then you would have -4 in the equation.
The base salary is $54,300. The commission is 2.75% of the total sales of $950,000. find the total earnings.
Answers
Answer:
Total earnings = $80,425
Step-by-step explanation:
Commission = Sale Price × Commission %
Commission = $950,000 × .0275 2.75% as a decimal is .0275
Commission = $26,125
Total earnings = Base salary + Amount of Commission
Total earnings = $54,300 + $26,125
Total earnings = $80,425
Write the ratio 4/7 to 14 as a fraction in simplest form.
Answers
2 : 49
stay safe
Step-by-step explanation:
Convert the whole number 14 to a fraction with 1 in the denominator.
We then have:
4/7 : 14 = 4/7 : 14/1
Convert fractions to integers by eliminating the denominators.
We now have:
4/7 : 14 = 4/7 : 98/7
Our two fractions now have like denominators so we can multiply both by 7 to eliminate the denominators.
We then have:
4/7 : 14 = 4 : 98
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 4 and 98 is 2
Divide both terms by the GCF, 2:
4 ÷ 2 = 2
98 ÷ 2 = 49
The ratio 4 : 98 can be reduced to lowest terms by dividing both terms by the GCF = 2 :
4 : 98 = 2 : 49
Therefore:
4/7 : 14 = 2 : 49
Raffle tickets cost $6 for 5 tickets. What is the price of 1 ticket? How many tickets can you get for $90
Answers
Answer:
1 ticket is worth 1.2$
90$ gets you 75 tickets
Step-by-step explanation:
t=ticket(s)
6=5t
6/5=t
90/(1.2)=75
Answer:
1 ticket = $1.2
Step-by-step explanation:
How do you calculate 150 percent?
Answers
After solving, the 150 percent of x is 1.5 times of the given number.
In the given question, we have to explain how to calculate 150 percent.
A figure or ratio stated as a fraction of 100 is called a percentage. It is frequently indicated by the percent sign, "%."
To find the 150 percent of any number, we write 150 percent as;
150/100 = 1.5
Now we multiply 1.5 to the given number.
Let he number is x.
So the 150 percent of x is;
=1.5x
So now we can say that the 150 percent of x is 1.5 times of the given number.
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Pls help me ..................
Answers
Answer:
B.
D.
E.
Step-by-step explanation:
what is the area of the polygon (-3,3) (-3,-1) (4,-1) (4,3) with the given verticies
Answers
The area of the polygon with the given vertices: (-3,3) (-3,-1) (4,-1) (4,3) is 28 square units
What is rectangle ?A rectangle is a polygon with four sides. The opposite sides of a rectangle are equal while the angles at the vertex is orthogonal
How to solve for area of the rectangleThe following are the data given in the question
polygon with the given vertices' as:
(-3,3)
(-3,-1)
(4,-1)
(4,3)
plotting the given polygon shows it is a rectangle with sides
Length, L = 7 units
Width, w = 4 units
Area if a rectangle is given by
= L * w
= 7 * 4
= 28 square units
The area of the polygon is 28 square units
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to determine the probability that a certain component lasts more than 350 hours in operation, a random sample of 37 components was tested. of these 24 lasted longer than 350 hours
Answers
The probability that a certain component lasts more than 350 hours in operation, based on the random sample of 37 components tested, is approximately 0.649.
To calculate the probability, we divide the number of components that lasted longer than 350 hours (24) by the total number of components tested (37).
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 24 / 37 ≈ 0.649
Therefore, the probability that a certain component lasts more than 350 hours in operation, based on the given sample, is approximately 0.649.
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What’s the answer??????
Answers
Explanation:
Problem 1. Let A be a finite set and let f : A → P (A) be any function. A. Show that f cannot be surjective. B. Show that f can be injective. C. Give a specific example of A and f such that f is injective.
Problem 2. Let A, B both be subsets of some universal set U. A. Show that (A × B)c = (Ac × B) ∪ (A × Bc) ∪ (Ac × Bc). B. Under which conditions is (A × B)c = Ac × Bc?
Problem 3. Let A = {1, 2}. A. Write out P (A). B. Now write out P (P (A)).
Answers
A. Suppose that f is surjective. Then for every subset B of A, there exists an element x in A such that f(x) = B.
Consider the set C = {x ∈ A : x ∉ f(x)}. Since f is surjective, there exists some y ∈ A such that f(y) = C. Now consider two cases:
Case 1: y ∈ C. Then by definition of C, y ∉ f(y) = C, which is a contradiction.
Case 2: y ∉ C. Then by definition of C, y ∈ f(y) = C, which is also a contradiction.
Since both cases lead to contradictions, the assumption that f is surjective must be false.
B. Let A = {1, 2, 3} and define f : A → P(A) by f(1) = {1}, f(2) = {2}, and f(3) = {1, 2}. Then f is injective, since each element of A is assigned a distinct subset of A.
C. Let A = {1, 2} and define f : A → P(A) by f(1) = {1} and f(2) = {2}. Then f is injective, since each element of A is assigned a distinct subset of A.
Problem 2:
A. To show (A × B)c = (Ac × B) ∪ (A × Bc) ∪ (Ac × Bc), we need to show that every element in (A × B)c is in the right-hand side, and vice versa.
Suppose (x, y) is an element of (A × B)c. Then either x ∉ A or y ∉ B. If x ∉ A, then (x, y) is in Ac × Bc. If y ∉ B, then (x, y) is in Ac × B ∪ A × Bc.
Now suppose (x, y) is an element of Ac × Bc. Then x ∉ A and y ∉ B, so (x, y) is not in A × B. Therefore, (x, y) is in (A × B)c.
Similarly, suppose (x, y) is an element of Ac × B ∪ A × Bc. Then either x ∉ A or y ∉ B. If x ∉ A, then (x, y) is in Ac × B ∪ Ac × Bc = (Ac × Bc). If y ∉ B, then (x, y) is in A × Bc ∪ Ac × Bc = (Ac × Bc). Therefore, (x, y) is in (A × B)c.
B. We have (A × B)c = Ac × Bc if and only if every element in (A × B)c is of the form (x, y) where x ∉ A or y ∉ B. This is equivalent to saying that A and B are disjoint.
Problem 3:
A. P(A) = {∅, {1}, {2}, {1, 2}}.
B. P(P(A)) = {∅, {{1}}, {{2}}, {{1, 2}}, {{∅}}, {{1}, {2}}, {{1}, {1, 2}}, {{2}, {1, 2}}, {{1, 2}, {1}, {2}}, {1, 2}}, where we write each subset of P(A) as a set of sets.
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a game of chance consists of spinning an arrow on a 3 circular board, divided into 8 equal parts, which comes to rest pointing at one of the numbers 1, 2, 3, ..., 8 which are equally likely outcomes. what is the probability that the arrow will point at (i) an odd number?
Answers
The probability of the arrow landing on an odd number is the number of odd numbers divided by the total number of possible outcomes. Therefore, the probability of the arrow landing on an odd number is 0.5 or 50%.
To find the probability that the arrow will point at an odd number on a circular board with 8 equal parts, we'll first determine the total number of odd numbers present and then divide that by the total number of possible outcomes.
Step 1: Identify the odd numbers on the board. They are 1, 3, 5, and 7. The game consists of spinning the arrow on a circular board with 8 equal parts, which means there are 8 possible outcomes or numbers. Since we want to know the probability of landing on an odd number, we need to count how many odd numbers are on the board. In this case, there are four odd numbers: 1, 3, 5, and 7.
Step 2: Count the total number of odd numbers. There are 4 odd numbers.
Step 3: Count the total number of possible outcomes. Since the board is divided into 8 equal parts, there are 8 possible outcomes.
Step 4: Calculate the probability. The probability of the arrow pointing at an odd number is the number of odd numbers divided by the total number of possible outcomes.
Probability = (Number of odd numbers) / (Total number of possible outcomes)
Probability of landing on an odd number = Number of odd numbers / Total number of possible outcomes
Probability of landing on an odd number = 4 / 8
Step 5: Simplify the fraction. The probability of the arrow pointing at an odd number is 1/2 or 50%.
So, the probability that the arrow will point at an odd number is 1/2 or 50%.
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The staff of Mr. Wayne Wertz, VP of Operations at Portland Peoples Bank, prepared a frequency histogram of waiting time for walk-in customers. Approximately how many walk-in customers waited at least 6 minutes? (Note the position of the labels on the x-axis — the first column is the number of customers who waited 1 minute and the last column is the number of customers who waited 10 minutes)
Answers
The number of people who waited at least 6 minutes is given as follows:
50 people.
What is shown by the histogram?The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.
The desired outcomes for this problem are given as follows:
Between 6 and 7 minutes: 20 people.Between 7 and 8 minutes: 15 people.Between 8 and 9 minutes: 10 people.Between 9 and 10 minutes: 5 people.Hence the number of people who waited at least 6 minutes is given as follows:
20 + 15 + 10 + 5 = 50 people.
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I need help, please
and can someone explain so I can stop posting so many of these?
Answers
it's infinitely many bc the equations have the same line
Answer:
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here a1, b1, c1, a2, b2, c2 are all real numbers.
Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0
Step-by-step explanation:
How many solutions does the following system have?
y = -2x – 4
y = 3x + 3
Solution:
Given y = -2x – 4
y = 3x + 3
Rewriting to the general form
-2x – y – 4 = 0
3x – y + 3 = 0
Comparing the coefficients,
(a1/a2) = -⅔
(b1/b2) = -1/-1 = 1
(a1/a2) ≠ (b1/b2)
Hence, this system of equations will have only one
A house sold for 350,000. The real estate agent makes a 5.5% commission. How much did he/she make from the sale
Answers
Answer:
350,000 x .055 = $19,250.00
The roots of 100x2 – 20x + 1 = 0 is:
Answers
Answer:
x = 0.1Step-by-step explanation:
\(100x^2-20x+1=0\\\\(10x)^2-2\cdot10x\cdot1+1^2=0\\\\(10x-1)^2=0\\\\10x-1=0\\\\10x=1\\\\x=0.1\)
Construct a vertical transversal and horizontal transversal to lines AB and DC that intersect each other at F. Label the points of intersection to the parallel lines A, B, C, and D.
Pls help!!
Answers
The missing statement in the given proof is ΔFDC ≅ Δ FAB, reason SAS. Option C is correct.
What is congruent geometry?In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
here,
As given in the quesiton,
Consider the triangle formed by the given construction,
ΔFDC and Δ FAB
AB║CD
∠FAB = ∠FCD
∠FBA = ∠FDC
So, ΔFDC ≅ Δ FAB, by SAS congruency.
Thus, the missing statement in the given proof is ΔFDC ≅ Δ FAB, reason SAS. Option C is correct.
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Which of the following is equal to g(x)?
Answers
Answer:
Option A
Step-by-step explanation:
As you can see on the y axis at 0, it intercepts at 0.333, this shows that the first option is the most viable as it is the only equation that would cause the graph to intercept at that point. B and C would intercept at 1 (don't forget that anything to the power of 0 is one):
Put 0 into equation B:
\(2^{\frac{1}{3}0 }\) = \(2^{0}\) = 1
So at x = 0, y = 1.
The same happens for option C.
For option D, the y intercept at x = 0 would be 3:
3 * \(2^{x}\) = 3 * \(2^{0}\)
= \(3 * 1 = 3\)
Hope this helps!
Please help! i need 5 answers expect for the 1st one! 20 points
Answers
Answer:
The answer for number 2 is 700,000
3: 125,991 (62,776+439= 63,215, 63,215+ 62,776= 125,991)
4:754 (193+368=561, 561+193=754)
5: 350,000 (266,176+68,525+10,996=345,424: rounded to the nearest 10,000 is 350,000)
can someone please help me?
Answers
Answer:
= _51_x+ __1_y
10 5
Step-by-step explanation:
Khloe ate 60% of the candies in the bag. If Khloe ate 75 candies, how many candies were there total in the bag?
Answers
Answer:
125
Step-by-step explanation:
60 percent of 125=75
Sam has ⅙ of a book left to read. He wants to finish the book by reading the same amount every day for 4 days. How much of the book will Sam need to read each day?
Answers
4 (1/16) = 4/16 = 1/4
(1/4) / 4 = 1/16 each day
Answer:
\(\frac{5}{24}\) of the book each day
\(83\frac{1}{3}\) % of the book each day
Step-by-step explanation:
1 - ⅙
⅚
⅚ ÷ 4
\(\frac{5}{24}\)
+X
Factor 2
Using Tiles to Multiply a Monomial by a Binomial
+ Factor 1
What is the product of x(x + 1)?
O2ri
0x²+2x
* 2x²+x
0x²+x
Answers
Answer:4x 3+x
Step-by-step explanation:
Mrs. Grupa, the math teacher, has 12 logic puzzles and 18 visual puzzles that she wants
to group into sets for students who finish their tests early. Mrs. Grupa wants each set to
be identical containing the same combination of logic puzzles and visual puzzles, with
no puzzles left over. What is the greatest number of sets she can create?
Help please
Answers
Answer:12
Step-by-step explanation:
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Cruz has been saving his earnings from his lemonade stand. Cruz has 100 dollars to spend. If he buys a new hat for 32 dollars, how many scarves can he buy with the remaining money if they cost 6 dollars each?
Answers
Answer:
11.
Step-by-step explanation:
100-32 = money after hat purchase
(100-32) dollars / 6 dollars / scarf = 11.33 or 11 scarves (because you cannot buy a fraction of a scarf)
What does That symbol mean
Answers
Answer:
That symbol is a square root.
Step-by-step explanation:
The price of a video games was reduced from $60 to $45. By what percentage was the price of the video game reduced?
Answers
Answer:
25% is the answer. hdhdhdhdhd
Suppose Alice has 8 close friends in her group. What is the probability that at least two of them have the same birthday? Assume that none of them was born in a leap year.
Answers
The probability that at least two of Alice's friends have same birthday is 0.32 if none of them was born in a leap year.
We can approach this problem by calculating the probability that none of Alice's friends share a birthday, and then subtracting that probability from 1 to get the probability that at least two of them have the same birthday.
The probability that the first friend does not share a birthday with Alice is 364/365 (assuming a non-leap year). Similarly, the probability that the second friend does not share a birthday with Alice or the first friend is 363/365. Continuing in this way, the probability that none of the eight friends share a birthday with Alice is
(364/365) * (363/365) * (362/365) * (361/365) * (360/365) * (359/365) * (358/365) * (357/365) ≈ 0.68
Therefore, the probability that at least two of Alice's friends share a birthday is:
1 - 0.68 = 0.32
So there is about a 32% chance that at least two of Alice's eight friends have the same birthday.
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21 pointQuadrilateral QRST has diagonals that do NOT bisect each other, are congruent, and are not perpendicular. Which type of quadrilateral could describe QRST?RhombusRectangle
Answers
Given:
Quadrilateral QRST has diagonals that do NOT bisect each other, are congruent and are not perpendicular.
By checking the options:
Rhombus, rectangle and the square each of them the diagonals bisect each other
So, the answer will be option 4) Isosceles Tra
Calculate the test statistic 2
A local retailer currently schedules employees based on the assumption that they serve customers uniformly throughout the week (the same number each day). Management is starting to question this assumption and decides to collect data on the number of customers served each day of the week to
perform a Chi-Square goodness-of-fit test at a 5% significance level.
Monday Tuesday Wednesday Thursday Friday
Number Served 40 33 35 32 60
Total 200
Provided the assumptions of the test are satisfied, calculate the test statistic 2
Answers
The value of a Chi-Square goodness-of-fit test at a 5% significance level is 13.45
We need to perform a Chi-Square goodness-of-fit test at a 5% significance level.
First we need to calculate the expected count
expected value = ∑(x)/n
= (40 + 33 + 35 + 32 + 60)/5
= 200/5
= 40
Now we need tocalculate the test statistic value
Observed expected O - E (O - E)^t/E %
40 40 0 0 0
33 40 -7 1.225 9.11
35 40 -5 0.625 4.65
32 40 -8 1.6 11.90
60 40 20 10 74.35
Chi square test is 13.45
Therefore, the value of test statistics is 13.45.
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