The slope of the line that passes through the points (2,8) and (12, 20) is 6/5.
What is the Slope of a Line?The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of approaches.Given the coordinates of two points on the line, use the slope formula to determine the slope of the line. The slope formula, or the ratio of the change in the y values to the change in the x values, is m=(y2-y1)/(x2-x1).given :
points (2,8) and (12, 20)
slope = m=(y2-y1)/(x2-x1).
= 20-8 / 12-2
= 12/10 =6/5
the slope of the line that passes through the points (2,8) and (12, 20) is 6/5.
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Answer:
6/5
Step-by-step explanation:
For a sample of n = 36 that has a sample variance of 1,296, what is the estimated standard error for the sample? 6 37 36 6. 9
The estimated standard error for the sample is 6
Given,
Sample size, n = 36
Sample variance, \(s^{2}\) = 1296
Standard deviation, s = √1296
= 36
Standard error, SE = \(\frac{s}{\sqrt{n} }\)
= \(\frac{36}{\sqrt{36} }\)
= \(\frac{36}{6}\)
= 6
Concept
Sample size is the number of participants or observations included in a study. It is denoted by ‘n’Sample variance is a measure of the degree to which the numbers in a list are spread out. It is denoted by '\(s^{2}\)'Standard deviation is a measure of how dispersed the data is in relation to the mean. It is denoted by ‘s’Learn more about standard deviation here:https://brainly.com/question/13905583
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it took oliva 2 hour to drive 240 miles. at this rate how long does it take to drive 80 miles
Answer:
40 minutes
Step-by-step explanation:
rate = distance/time = miles/hr
rate = 240 mi/2 hr = 120 mi/hr
time = distance / rate = (80 mi)/(120 mi/hr) = 0.67 hr = 40 minutes
(0.67 hr)(60 min/hr) = 40 minutes
anyone know the answer?
Answer:
It's 15^7/4
Basically just switch what you have for b and c and it'll be right
which of the following is an example of systematic sampling? a) using a random number table, people are chosen and then only the people with even numbers are selected. b) in a population of 500, the first and last 100 for a total of 200 people are chosen. c) in a population of 1000 at a school, every 64th person is chosen. d) a government official uses a list of all the people that have returned tax forms and uses those people that h
The example of systematic sampling is option c) in a population of 1000 at a school, every 64th person is chosen.
In systematic sampling, the population is first divided into a sampling frame (for example, a list or a map) and then every kth individual is selected from the list. In this example, every 64th person is chosen from the list of 1000 individuals, which is an example of systematic sampling. In the example given, there is a list of 1000 individuals, and every 64th person is chosen from the list. This means that the sampling interval k is 64, and the first individual is selected randomly from the first 64 individuals in the list. From then on, every 64th individual is selected to be included in the sample. For instance, if the first individual selected is number 8, then the individuals selected for the sample would be 8+64=72, 8+264=136, 8+364=200, and so on.
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Question 4 (1 point)
THIS RELATION IS A FUNCTION:
(1,-2), (1,1), (1,6),(1,11)
O True
O False
Answer: False
Step-by-step explanation:
The x-value of 1 maps onto 4 different y values.
4 Solve for d. -10 = -2 + 3d O A. d=-24 O B. d=-16 O c. d = -6 OD d=-4 Reset
the expression is
\(-10=-2+\frac{1}{2}d\)\(\begin{gathered} -10+2=\frac{1}{2}d \\ -8=\frac{1}{2}d \\ d=-16 \end{gathered}\)so the correct answer is d = -16
What is this? Someone please help me
Answer and Step-by-step explanation:
Haven't done this in a while, so here we go:
The rule (I'm not really sure) would have to be negative number and negative number.
This means that:
(4, 0) would become (-4, 0) A'
(6, -2) becomes (-6, 2) B'
(8, -7) becomes (-8, 7) C'
and (0, -5) becomes (0, 5) D'
#teamtrees #WAP (Water And Plant)
Different positive integers can be written in the eight empty circles so that the product if any three integers in a straight line is 3240. What is the largest possible sum of the eight surrounding numbers?
Different positive integers can be written in the eight empty circles so that the product if any three integers in a straight line is 3240 the largest possible sum of the eight surrounding numbers is approximately 117.59.
Since the product of any three integers in a straight line is 3240, we can write:
a * b * c = 3240
d * e * f = 3240
g * h * i = 3240
a * d * g = 3240
b * e * h = 3240
c * f * i = 3240
a * e * i = 3240
c * e * g = 3240
We can simplify these equations by taking the cube root of both sides:
abc = def = ghi = 30√6
adg = beh = cfi = 30√2
aei = cgi = 30
ceg = aei = 30
Now we can use these equations to solve for the eight surrounding integers. Without loss of generality, we can assume that a, b, and c are the three largest numbers. Then we have:
abc = 30√6
a > b > c
Since a, b, and c are positive integers, their product must have three prime factors. The prime factorization of 30√6 is 2^2 * 3 * 5 * √6. We can distribute the prime factors as follows:
a = 2 * 3 * 5 = 30
b = 2 * 3 * √6 ≈ 7.75
c = 5 * √6 ≈ 12.25
Since b and c are not integers, we need to swap them with d and e, which are integers. We can assume that d > e > f and solve for them using the equation def = 30√6:
d = 2 * 5 * √6 ≈ 17.32
e = 3 * 5 * √2 ≈ 10.61
f = √2 * √3 * √5 * √6 ≈ 3.87
Finally, we can use the remaining equations to solve for g, h, and i:
g = 2 * 5 * √2 ≈ 14.14
h = 3 * 5 * √6 ≈ 21.65
i = √2 * √3 * 5 ≈ 7.75
The sum of the eight surrounding numbers is therefore:
a + b + c + d + e + f + g + h + i = 30 + 12.25 + 17.32 + 10.61 + 3.87 + 14.14 + 21.65 + 7.75 ≈ 117.59
Therefore, the largest possible sum of the eight surrounding numbers is approximately 117.59.
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the national fire incident reporting service stated that, among residential fires, 73% are in family homes, 20% are in apartments, and 7% are in other types of dwellings. if fourteen residential fires are independently reported on a single day, what is the probability that six are in family homes, four are in an apartment, and four are in another type of dwelling? (round your answer to four decimal places.)
Leonard earned $100 from a bonus plus $15 per day (d) at his job this week. Which of the following expressions best represents Leonard's income for the week? (1 point)
15 + 100d
15d + 100
15 + d + 100
15 + 100
Answer:
...........
\(⟼15d + 100\)
Please help meeeeeeee
Part 2 of 2 An oil company is considering two sites on which to drill, described as follows:
a. Site A has the larger expected profit.
b. the expected profit for Site A is larger than Site B by $18 million
How to determine the site that has larger profitTo find the expected profit for each site we use the formula:
Expected Profit = (Probability of Finding Oil x Profit if Oil is Found) - (Probability of Not Finding Oil x Loss if No Oil is Found)
For Site A we have
Expected Profit = (0.2 x $110 million) - (0.8 x $17 million)
Expected Profit = $ 22 million - $ 13.6 million
Expected Profit = $8.4 million
For Site B
Expected Profit = (0.1 x $ 165 million) - (0.9 x $ 29 million)
Expected Profit = $16.5 million - $26.1 million
Expected Profit = -$9.6 million
b. The expected profit for Site A is $ 8.4 million and the expected profit for Site B is -$ 9.6 million.
the difference in expected profit is
= $ 8.4 million - (-$9.6 million)
= $18 million
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The ratio of the angles in a triangle is 2:3:4. What is the measure of the largest angle?
30°
60°
80°
20°
Answer:
80
Step-by-step explanation:
you can take the ratio 2:3:4 as
2x + 3x + 4x = 180
9x = 180
x= 20
4(20) = 80
Answer:
D) 20
Step-by-step explanation:
Set up an equation: 2x+3x+4x=180
9x=180
180/9=20
Answer: D) 20degrees
-33/9+2 please help I need it ASAP
Answer:
Step-by-step explanation:
\(\frac{-33}{9}+2=\frac{-33}{9}+\frac{2*9}{1*9}\\\\\\=\frac{-33}{9}+\frac{18}{9}\\\\= \frac{-33+18}{9}\\\\=\frac{-15}{9}\)
GCF of 15 and 9 is 3. so divide both numerator and denominator by 3
\(= \frac{-5}{3}\\\\= -1\frac{2}{3}\)
A
B
С
D
If mZACD = 70°, then mZBCD = [? ]°
Answer:
35 is correct
Step-by-step explanation:
hope this helps.
Answer:
35°
Step-by-step explanation:
Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.
Write the equation of the line that passes through the points (-4,9)(−4,9) and (-1,9)(−1,9). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
The equation of the line is: y = 9.
What is the Equation of a Line in Point-slope Form?To write the equation of a line in point-slope form, where (a, b) is a point on the line, and m is the slope, the equation can be expressed as:
y - b = m(x - a).
Given:
Two ponts on a line, (-4, 9) and (-1, 9)
Find the slope (m):
Slope of the line, m = change in y / change in x = (9 - 9)/(-4 -(-1))
Slope (m) = 0/-3 = 0
Substitute m = 0, and (a, b) = (-1, 9) into y - b = m(x - a):
y - 9 = 0(x - (-1))
y - 9 = 0(x + 1)
y - 9 = 0
y = 9
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The area of a rectangle is 21 square meters, and its height is 2 meters. What is the length of the base?
The length of the base of the rectangle with an area of 21 m and height of 2 m is 10.5 meters.
What is the base length of the rectangle?A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.
Area of a rectangle is expressed as;
A = length × breadth
Given that the area of the rectangle is 21 square meters and the height is 2 meters, we can substitute these values into the formula and find the base length:
A = length × breadth
21 = length × 2
To solve for the length, we divide both sides of the equation by 2:
Length = 21 / 2
Length = 10.5 m
Therefore, the length of the rectangle is 10.5 m.
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Can someone please help me with this algebra
Answer:
bounce 1
Step-by-step explanation:
Please answer this question now
Answer:
m∠D = 94°
Step-by-step explanation:
Quadrilateral ABCD is also called a cyclic quadrilateral or a quadrilateral that is inscribed in a circle.
Opposite angles in a cyclic Quadrilateral are supplementary, i.e the sum of two opposite angles in a Quadrilateral = 180°
m∠A + m∠C = 180°
m∠A = 74°
74° + m∠C = 180°
m∠C = 180° - 74°
m∠C = 106°
In a cyclic quadrilateral, the total sum of the angles outside the circle = 360°
i.e =
m∠AB + m∠BC + mDC + mAD = 360°
m∠DAB= ( m∠C) × 2
= 106° × 2 = 212°
m∠DAB = m∠AD + m∠AB
m∠AD = 79°
212° = 79° + m∠AB
m∠AB = 212° - 79°
= 133°
m∠ABC = m∠AB + m∠BC
m∠AB = 133°
m∠BC= 55°
m∠ABC = 133° + 55°
= 188°
We are asked to find m∠D
m∠D = 1/2m∠ABC
m∠ABC = 188°
m∠D = 1/2 × 188°
m∠D = 94°
Therefore, m∠D = 94°
Review the information given based on a principal balance of $8,000 to answer the question:
FICO Score Simple Interest Rate Total # of Payments Total Amount Paid
800-850
12%
29
740-799
670-739
580-669
300-579
O $2,709
O $2,635
O $2,079
15%
O$4,683
18%
21%
28%
33
38
Calculate how much more a household with a credit score of 580 will pay compared to a household with a credit score of 750.
48
60
$9,256.00
$9,812.00
$10,554.00
$11,891.00
$14,945.00
Based on the information given, the FICO score ranges from 300 to 850, with corresponding interest rates and total payments for an $8,000 principal balance.
Determining how much more a household with a credit scoreTo calculate how much more a household with a credit score of 580 will pay compared to a household with a credit score of 750, we need to determine the total amount paid for each credit score range and subtract the difference.
For a FICO score of 580, the total amount paid is $2,079 with an interest rate of 28% and 33 payments.
For a FICO score of 750, the total amount paid is $2,635 with an interest rate of 15% and 29 payments.
The difference in total amount paid between the two credit scores is:
$2,635 - $2,079 = $556
Therefore, a household with a credit score of 580 will pay $556 more than a household with a credit score of 750.
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Answer:
Step-by-step explanation:
the answer is $2,079
i know i just took the test
7 girls : 2 boys is equivalent to what ratio?
Answer:7:2 or 7 to 2
Step-by-step explanation:
Answer:
7 : 2 7/2 we can use two
Step-by-step explanation:
7 : 2 can't simplified
the graph of y=(1/3)x-1
Answer:
Step-by-step explanation:
the indexed variables (members) of an array must be integers. true or false
It is true that the indexed variables (members) of an array must be integers.
The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.
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Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
140 miles on 6 gallons
a.23.3 mi/gal
c.0.042 mi/gal
b.840 mi/gal
d.13.6 mi/gal
Answer:
a
Step-by-step explanation:
because I heard that it was subject to the same time period in which the most popular ob on pov and i was in the empty classroom But I think I can dye my hair It is the most popular ob on pov and i was in the car atm but my phone said the time was the only one ☝
what is the base 10 representation of the number 1406(3 at the bottom)
The base 10 representatiοn οf the number 1406 (3 at the bοttοm) is 118.
Describe Base number?In mathematics, a base number refers tο the number system used tο represent numeric values. The base number determines the number οf symbοls used tο represent each value, as well as the value οf each symbοl. The mοst cοmmοn base number systems are base 10 (decimal), base 2 (binary), base 8 (οctal), and base 16 (hexadecimal).
In base 10, we use 10 digits (0-9) tο represent all pοssible values. In binary, we use οnly twο digits (0 and 1) tο represent values. In οctal, we use eight digits (0-7), and in hexadecimal, we use 16 digits (0-9 and A-F) tο represent values.
Fοr example, the decimal number 125 can be represented in base 2 as 1111101, in base 8 as 175, and in base 16 as 7D.
Cοnverting a number frοm οne base tο anοther invοlves dividing the number by the base and repeatedly finding the remainder until the quοtient becοmes zerο. The remainders, read frοm bοttοm tο tοp, represent the digits οf the new number in the new base.
Tο cοnvert a number in base 3 tο base 10, we need tο multiply each digit οf the number by the cοrrespοnding pοwer οf 3, and then sum up the prοducts.
Starting frοm the rightmοst digit οf the number, the pοwers οf 3 increase by 1 fοr each digit tο the left. Sο, fοr the number 1406 (3 at the bοttοm), we have:
1 × 3⁰ + 0 × 3¹ + 4 × 3² + 1 × 3³ = 1 + 0 + 36 + 81 = 118
Therefοre, the base 10 representatiοn οf the number 1406 (3 at the bοttοm) is 118.
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ellot swims 1/2 of a mile per hour how long will it take Elliot to swim 5 miles
Divide 5 miles by 1/2 of a mile to see how many half miles are there on 5 miles:
\(\frac{5\text{ miles}}{1/2\text{ mile}}=10\)Since each half mile takes one hour, then Elliot would swim 10 half miles on 10 hours.
Therefore, the time that Elliot would take to swim 5 miles is 10 hours.
Which inequality could it be?
Answer:
95 < 60.5 + 3x
Step-by-step explanation:
60.5 + 3x represents how much he will pay each month and wants to keep that under 95, hence the less than sign
Find the total surface area.
The total surface area is 640.56 in².
We have,
The TSA (Total Surface Area) of a cone is given by the formula:
TSA = πr² + πrℓ
Now,
We see that,
There are two cones so we find the TSA for both the cones and add them up to get the TSA.
So,
Cone 1:
r = 6 in
l² = r² + h²
l² = 36 + 64
l² = 100
l = 10
So,
TSA = πr² + πrℓ
= 3.14 x 36 + 3.14 x 6 x 10
= 113.04 + 188.4
= 301.44 in²
Cone 2:
r = 6 in
l = 12 in
TSA = πr² + πrℓ
= 3.14 x 6 x 6 + 3.14 x 6 x 12
= 113.04 + 226.08
= 339.12 in²
Now,
Total surface area.
= 301.44 + 339.12
= 640.56 in²
Thus,
The total surface area is 640.56 in².
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If u can, Can u show the working on typeing it or just tell the answers;)
determine whether the raltion r on the set ofall integers is reflexin x =y^2
The relation "r" on the set of all integers, where x = y^2, is not reflexive.
A relation is reflexive if every element in the set is related to itself. In this case, for the relation x = y^2 to be reflexive, every integer "x" should be related to itself, meaning that x = x^2. However, this is not true for all integers.
For example, if we consider x = 2, it is not equal to 2^2 = 4. Similarly, if we consider x = -3, it is not equal to (-3)^2 = 9.
Since there are integers that do not satisfy the condition x = x^2, the relation x = y^2 is not reflexive on the set of all integers.
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