Three pairs of coordinate points that form a line segment with a slope greater than 2 are: (x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 7), (x₁, y₁) = (1, 3) and (x₂, y₂) = (5, 13), (x₁, y₁) = (-2, 1) and (x₂, y₂) = (2, 9)
To find three pairs of coordinate points that form a line segment with a slope greater than 2, we need to choose pairs of points where the difference in y-coordinates is at least twice the difference in the corresponding x-coordinates.
Here are three pairs of coordinate points that satisfy this condition:
1. (x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 7)
Using the slope formula, we get:
slope = (y₂ - y₁) / (x₂ - x₁) = (7 - 0) / (3 - 0) = 7/3, which is greater than 2.
2. (x₁, y₁) = (1, 3) and (x₂, y₂) = (5, 13)
Using the slope formula, we get:
slope = (y₂ - y₁) / (x₂ - x₁) = (13 - 3) / (5 - 1) = 10 / 4 = 5 / 2, which is also greater than 2.
3. (x₁, y₁) = (-2, 1) and (x₂, y₂) = (2, 9)
Using the slope formula, we get:
slope = (y₂ - y₁) / (x₂ - x₁) = (9 - 1) / (2 - (-2)) = 8 / 4 = 2, which is exactly 2, but if we extend the line segment beyond these two points, the slope will become greater than 2.
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(a) at least how many sets must be printed to be sure of having at least 4 identical subsets on the list?
The number of sets to be printed to ascertain at least 4 identical subset is there on the list when a computer is printing out subsets of a 5 element set is 97.
The total number of subset for a n element set is 2^{n}. Therefore, for a 5 element set is 2^{5} = 32.
Thus to ensure there are at least 4 identical subset, the computer should print 3 times the total number of subsets possible plus 1 additional subset, i.e. 3×32 + 1 = 97.
-- The question is incomplete, the correct question is as follows --
"A computer is printing out subsets of a 5 element set (possibly including the empty set). a. at least how many sets must be printed to be sure of having at least 4 identical subsets on the list?"
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Determine which line the point (1, -2) lies on. y = x + 5 y = 2x + 1 y = 2x - 4 y = x -2
Answer:
y = 2x - 4
Step-by-step explanation:
Given point (1, -2) so x = 1, y = -2
Just plug in and verify
y = x + 5
y = 1 + 5 = 6 ≠ -2 , noy = 2x + 1
y = 2*1 + 1 = 3≠ -2 , noy = 2x - 4
y = 2*1 - 4 = -2, yesy = x -2
y = 1 - 2 = -1 ≠ -2 , noIf You have this information about return of stock in 3
periods:
-12%, 20% and 25%.
calculate:
a. The arithmetic average.
b. The geometric average.
Answer:
✔ ∅ a. The arithmetic average.Step-by-step explanation:
If You have this information about return of stock in 3
periods:
-12%, 20% and 25%.
calculate:
✔ ∅ a. The arithmetic average.
✘ O b. The geometric average.
What is the slope of the line shown?
There is a step missing from the solution below. Which equation is the
missing step?
P= √ 100.011x+13
5= 10- √ 0.011x+13
-5= -√ 0.011x+13
?
12 = 0.011x
1091 ≈ x
A. 12 = 0.011x + 13
B. 25 = 0.011x + 13
C. 25 = 0.011x + 169
D. 25 = √0.011x + 13
Answer:
B
Step-by-step explanation:
What is the product of 2x-3 and 7-8x ?
Answer:
\( \boxed{\tt26x-21}\)
Step-by-step explanation:
=2x+(−3)(7)+(−3)(−8x)
=2x−21+24x
Combine Like Terms:
=2x−21+24x
=(2x+24x)+(−21)
=26x−21
what do the symbols p with hat on top, x with bar on top, and s represent? variables of interest sample statistics defined variables population parameters
The symbols p,x, and s represent sample statistics.
- p (pronounced "p-hat") is the sample proportion. It is used to estimate the population proportion. It is computed as the number of successes in the sample divided by the sample size.
-x (pronounced "x-bar") is the sample mean. It is used to estimate the population mean. It is computed as the sum of all the values in the sample divided by the sample size.
- s is the sample standard deviation. It is used to estimate the population standard deviation. It measures how spread out the data is in the sample. It is computed as the square root of the sum of the squared deviations from the sample mean divided by the sample size minus one.
These sample statistics are used to make inferences about the corresponding population parameters, which are denoted by Greek letters such as μ (mu) for the population mean and σ (sigma) for the population standard deviation.
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IF x+y=5 and x-2y=-4 find the value of x and y
Answer:
x = 2, y = 3
Step-by-step explanation:
x + y = 5
Shift y to the other side and change to (-y).
x = 5 - y --- Equation 1
x - 2y = -4 --- Equation 2
Substitute x = 5 - y into Equation 2:
x - 2y = -4
5 - y - 2y = -4
Shift 5 to the other side and change to (-5).
-y - 2y = -4 - 5
Evaluate like terms.
-3y = -9
Divide both sides by -3.
y = -9 ÷ -3
y = 3
Substitute y = 3 into Equation 1:
x = 5 - y
x = 5 - 3
x = 2
PLEASE HELP 15 POINTS
Answer:
B
Step-by-step explanation:
Used elimination method.
first plugged in (0,0)which remove A,D
than saw the line is not solid so chose B
n-9 = 13
------------------
Answer:
n-9=13
n=22
Step-by-step explanation:
Answer: n = 22
Step-by-step explanation: to get the answer you have to add 9 to the -9 so that it cancels out. then you are to add the 9 to the 13 and so the answer shall be n=22
Use the graph of the floor function to complete the statements. Over the interval , y = 2. For an input value of –1.5, the corresponding output value is
Answer:
over the interval [2,3)
for an input value of 1.5, the corresponding output value is -2
Step-by-step explanation:
In determining automobile-mileage ratings, it was found that the mpg (X) for a certain model is normally distributed, with a mean of 33 mpg and a standard deviation of 1.7 mpg. Find the following: a. P(X<30) b. P(2835) d. P(X>31) e. the mileage rating that the upper 5% of cars achieve. (Use excel).
In determining automobile-mileage ratings, the probability calculations for specific events regarding mpg (miles per gallon) of a certain model with a mean of 33 mpg and a standard deviation of 1.7 mpg will be determined using Excel.
a. P(X<30):
To calculate the probability that the mpg (X) is less than 30, we need to find the cumulative probability up to 30 using the normal distribution function in Excel. The formula in Excel would be "=NORM.DIST(30, 33, 1.7, TRUE)". Evaluating this formula will give the desired probability.
b. P(28<X<35):
To calculate the probability that the mpg (X) falls between 28 and 35, we need to find the cumulative probability up to 35 and subtract the cumulative probability up to 28. The formula in Excel would be
"=NORM.DIST(35, 33, 1.7, TRUE) - NORM.DIST(28, 33, 1.7, TRUE)".
d. P(X>31):
To calculate the probability that the mpg (X) is greater than 31, we need to find the cumulative probability starting from 31 using the complement of the normal distribution function in Excel. The formula in Excel would be
"=1 - NORM.DIST(31, 33, 1.7, TRUE)".
e. Mileage rating for upper 5%:
To find the mileage rating that the upper 5% of cars achieve, we need to find the value of mpg (X) for which the cumulative probability is 95%. Using the inverse of the normal distribution function in Excel, the formula would be
"=NORM.INV(0.95, 33, 1.7)".
By evaluating the respective formulas in Excel, the probabilities and the mileage rating can be calculated accurately.
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Find the sum or difference: 5+3(-x-9)+4x-2(5x-1)
Please solve
What is the largest number of pancakes that Benjamin can afford
Answer:
See explanation
Step-by-step explanation:
Here is the complete question:
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50 . Let S represent the number of stacks of pancakes that Benjamin buys. What is the largest number of pancakes that Benjamin can afford?
Given:
Cost of chocolate milk = $3.25
Maximum bill that Benjamin wants before tax = $30
Cost of stack of 4 pancakes = $5.50
Let S be the number of stacks of pancakes that Benjamin buys
Solution:
Cost per stack of pancakes = $5.50
Cost of S number of stacks of pancakes = S*5.50 = 5.50 S
So benjamin will spend money on 1 chocolate milk and S number of stacks of pancakes
Compute the total money spent by Benjamin:
Cost of chocolate milk + cost per stack of pancakes = 3.25 + 5.50 S
Maximum bill that Benjamin wants is $30 So,
The total money should be less than equal to the maximum bill that benjamin wants i.e. less than or equal to 30. So it is represented as:
3.25 + 5.50S ≤ 30 ----- (1)
Now using (1) we can find the largest number of pancakes that Benjamin can afford :
3.25 + 5.50S ≤ 30
5.50S ≤ 30 - 3.25
subtract 3.25 from 30
5.50S ≤ 26.75
Divide by 5.50
S ≤ 4.863636
S ≤ 4.86
S≤ 4 approx
Since the restaurant only sells pancakes in stacks of 4 pancakes so,
4 stacks = 4 *4 = 16
So the largest number of pancakes that Benjamin can afford are 16.
If we do not round off the the value stacks then we get:
4.86 stacks = 4.86 *4 = 19.44 pancakes
So the largest number of pancakes that Benjamin can afford are 19
How do you convert cm into mL?
Answer:divideing by the whole number
Step-by-step explanation:
Please help me on my assignment I have to do it before taking the test
Answer:
26
Step-by-step explanation:
w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26
Calculate the area of the regular pentagon.
The area of the regular pentagon is 252.7m²
How to determine the valueThe formula that is used for calculating the area of a regular pentagon is expressed with the equation;
A = 5/2 x s x a
where the parameters are;
's' is the side of the pentagon 'a' is the apothem length.Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.
apothem,a = s/2 tan (180/n)
Substitute the values
Apothem, a = 7.6/2 tan 16
a = 7.6/0.57 = 13.3m
Substitute the values, we get;
Area = 5/2 × 7.6 × 13.3
Multiply the values, we have;
Area = 505. 4/2
Divide the values, we get;
Area = 252.7 m²
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Please answer this question now
Answer:
Surface Area = 85.75 ft²
Step-by-step explanation:
Surface area of pyramid = ½(Perimeter of triangular base * slant height of pyramid) + Area of triangular base
Perimeter of triangular base = sum of all sides of the triangular base = 5+5+5 = 15 ft
Slant height of pyramid = 10 ft
Area of triangular base = ½*base of triangle*height of triangle = ½*5*4.3 = 10.75 ft²
Plug in the above values:
Surface Area = ½(15*10) + 10.75
= (15*5) + 10.75
= 75 + 10.75
Surface Area = 85.75 ft²
Can someone explain this?
Step-by-step explanation:
first of all we need to understand the given information.
2 shapes are similar, when they have the same angles, AND when every pair of corresponding sides (or side lengths) or any other lines like heights or diagonals has the same scaling factor.
A B/X Y = 4 is the scaling factor.
it means that the large side A B is 4 times a long as the corresponding short side X Y in the pair A B, X Y.
and the same goes for e.g. B C/Y Z and all the other side or length pairs - every ratio is 4.
so, in fact, to get the measurements of the small shape we need to multiply the measurements of the large shape by 1/4.
it is not given information, but I assume it is a symmetric hexagon with A B = E D, A F = F E = B C = C D.
and as both hexagons are similar, the same applies to the corresponding sides in the small hexagon.
for the area of ABCDEF we can split the hexagon into 2 equal trapezoids ABCF and EDCF.
the area of such a symmetrical trapezoid is
(baseline + topline)/2 × height
baseline = C F = 10 cm
topline = A B = 5 cm
height = A E/2 = 12/2 = 6 cm
so, the area of the whole hexagon is
ABCDEF = 2×(10+5)/2 × 6 = 15 × 6 = 90 cm²
W Z = C F × 1/4 = 10/4 = 2.5 cm
U V = X Y = A B × 1/4 = 5/4 = 1.25 cm
U Y = A E × 1/4 = 12/4 = 3 cm
the height of a small trapezoid is then U Y/2 = 3/2 = 1.5 cm
to get the shaded area we need to calculate the area of the small hexagon and subtract it from the area of the large hexagon :
UVWXYZ = 2×(2.5 + 1.25)/2 × 1.5 = 3.75 × 1.5 = 5.625 cm²
so, the shaded area is
90 - 5.625 = 84.375 cm² ≈ 84.38 cm²
The graph shows Tony's journey from his home to his holiday cottage.
Calculate Tony's average speed, in km/h, for the whole journey
Answer:
Step-by-step explanation:
ruler
During a winter storm, a ski resort received 9 inches of snow in 12 hours. The snow fell at a steady rate. How many inches of snow fell at each hour.
Answer:
0.75 inches of snow
Step-by-step explanation:
During a winter storm, a ski resort received 9 inches of snow in 12 hours. The snow fell at a steady rate. How many inches of snow fell at each hour.
12 hours = 9 inches of snow
1 hour = x
Cross Multiply
12 hours × x = 1 hour × 9 inches
x = 9/12
x = 0.75 inches
Therefore, 0.75 inches of snow fell at each hour.
Use the Integral Test to determine whether the series is convergent or divergent given ∑1n5
from n=1 to infinity?
The integral test is used to find whether the given series is converged or not. The convergence of series is more significant in many situations when the integral function has the sum of a series of functions.
Solving the problem∫1+∞f(x)dx exists finite ⇒ ∑+∞ (n=1) an coverges.
we know ∫1+∞ 1/x^5dx= (-1/4x^4)1+∞ = 1/4, which is finite, so the series converges.
(If this is wrong you have every right to report me)
I hoped this helped <3333
A hippopotamus can run 6 kilometers in 15 minutes. At this rate, how far can the hippopotamus run in 1 minute? __ kilometer(s) per minute
Answer:
15 minutes=1km
1 minute=?
(15m:m)×1km
minutes cancel minutes
15×1km=15km
trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 18 miles per day. the mileage per day is distributed normally. find the probability that a truck drives between 122 and 127 miles in a day. round your answer to four decimal places.
The probability that a truck drives between 122 and 127 miles in a day is 0.0165, rounded to four decimal places.
To find the probability that a truck drives between 122 and 127 miles in a day, we'll use the z-score formula and standard normal distribution table. Follow these steps:
Step 1: Calculate the z-scores for 122 and 127 miles.
z = (X - μ) / σ
For 122 miles:
z1 = (122 - 90) / 18
z1 = 32 / 18
z1 ≈ 1.78
For 127 miles:
z2 = (127 - 90) / 18
z2 = 37 / 18
z2 ≈ 2.06
Step 2: Use the standard normal distribution table to find the probabilities for z1 and z2.
P(z1) ≈ 0.9625
P(z2) ≈ 0.9803
Step 3: Calculate the probability of a truck driving between 122 and 127 miles.
P(122 ≤ X ≤ 127) = P(z2) - P(z1)
P(122 ≤ X ≤ 127) = 0.9803 - 0.9625
P(122 ≤ X ≤ 127) ≈ 0.0178
So, the probability that a truck drives between 122 and 127 miles in a day is approximately 0.0178 or 1.78%.
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Jamal asks his friend Sam, "How many days are in December?" Is this a statistical question? Why or why not?
Answer:
in total there are seven months with 31 days which means there are 31 days in december. It starts on the same weekday as September and ends on the same weekday as april every year.
This would not be a statistical question because it does not have varying data. An example would be: What is the typical number of pets owned by students in my class.
A card game goes like this: You draw a card from a 52-card deck. If it is a face card (jack, queen or king), you win $4; otherwise, you lose $2. What is your expected value for this game
For a card game with a pack of total 52 cards, where success is that drawn card is face card. The excepted value for this game is - 0.615.
In probability theory, Expected Value is the estimated gain or loss in partaking in an event many times. It is calculated by the formula written as \(E(X) = \sum P(X) × X \)
where, X is the number of trials and
P(x) is the probability of success.In other words, sum of multiplication of probability of gain to gain amount and multiplication of probability of loss to loosing amount. We have a experiment card game. There is a total 52 card deck. Let's consider an event X that one card is drawn from 52.
Number of face cards in pack of 52 = 3× 4 = 12
Number of non- face cards in pack of 52 = 52 - 12 = 40
Probability that drawn card is face card or probability of success = 12/52 = \( \frac{ 3}{13}\)
Probability that drawn card is not face card or probability of loss = \( \frac{40}{52} = \frac{10}{13} \)
winning amount on probability of success= $4
So, excepted value = \(4 \times \frac{3}{13} - 2 \times \frac{10}{13} \)
= \( - \frac{8}{13} \) = - 0.615
Hence, required value is - 0.615.
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Can you help me with my question please.
The scale factor of the map is equal to 1 / 12 centimeters per kilometer.
How to determine the scale of a map
Scales are an useful resource to represent systems at affordable size. In this problem we find the dimensions of a real distance (D), in kilometers, and the expected distance in a map (d), in centimeters. The relationship between these distances is defined as scale factor (r), in centimeters per kilometers, for the case of a map, we need a reduction scale factor:
r = d / D
If we know that D = 120 km and d = 10 cm, then the scale factor for the map is:
r = 10 cm / 120 km
r = 1 / 12 cm / km
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Classify this triangle by its sides and angles.
Answer:
right and scalene
Step-by-step explanation:
all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.
given f(x)=x^2-6x+8 and g(x)=x^2-x-12, find the y intercept of (g/f)(x)
The y-intercept of the function (g/f)(x) is \(\mathbf{-\dfrac{3}{2} }\)
What is the y-intercept of a given function?The y-intercept of a given function f(x) is those values of y when x is equal to zero.
From the information given:
f(x) = x² - 6x + 8g(x) = x² - x - 12The division of the function (g/f)(x) can be computed as:
\(\mathbf{y= \dfrac{x^{12}-x -12}{x^2-6x+8}}\)
The y-intercept of g(x) = x² - x - 12 is: (0, -12)The y-intercept of f(x) = x² - 6x + 8 is: (0, 8)The division of the y-intercept is:
\(\mathbf{=-\dfrac{12}{8} }\)
\(\mathbf{=-\dfrac{3}{2} }\)
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A study examines scores on an employment test and job performance sik months later. This study is most likely attempting to establish a. criterion validity b. face validity c. reliability d. construct validity 11. In the study by Korn, Davis, and Davis, it was determined that department chairs rated B. F. Skinner higher on their "all time" list than historians did. The study featured a(n)scale of measurement. a. nominal b. ordinal c. interval d. ratio
The study is most likely attempting to establish is Criterion validity and the study featured a(n) scale of measurement is Ordinal scale.
10). The study is most likely attempting to establish is: By criterion validity.
Criterion validity measures how well one measure predicts the outcome for another measure.
Here, we are judging how well the scores on the employment test predict the performance of the person.
Nominal Scale: This scale is used to assign labels to variables that have no numerical values.
For eg : Gender (male and female) , colour (brown blue black white)
Ordinal scale: It matters how the values are arranged, but it makes no difference how much they differ.
For eg: 1: Food applications rated from 1 to 5, 5 being the best. If a app is rated as 2 and other is rated as 4 does not mean the later is twice as good as the first.
Interval scale: An interval scale is a numerical scale where the order and size of the difference between the numbers are known. Absolute zero does not indicate absence in an interval scale, it only means there is no value.
For eg: Temperature in degree Celsius. If T1=5o Celsius and T2=15o Celsius this means is a temperature difference of 10o , but with T3=0o does not mean there is no temperature.
Ratio scale: The ratio scale is another numerical scale where the order and size of the difference between the values are known, and where absolute zero denotes the absence of values.
For eg: Salary of people
11). The study featured a(n)scale of measurement is: By ordinal scale
We will rank the chairs on a scale where order counts and the size of the difference is not particularly significant.
Hence, for 10th the option A is correct and for 11th the option B is correct.
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