Calculate the slope of the line that passes through (-10, 3) and (2, -3
Answers
Answer:
slope = - \(\frac{1}{2}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 10, 3 ) and (x₂, y₂ ) = (2, - 3 )
m = \(\frac{-3-3}{2-(-10)}\) = \(\frac{-6}{2+10}\) = \(\frac{-6}{12}\) = - \(\frac{1}{2}\)
Related Questions
If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
Answers
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is the solution to the equation ×+×?
1/4x-1/8=7/8+1/2x
Answer are
X=-5
X=-4
X=4
X=5
Answers
Answer: -4
Step-by-step explanation:
\(\frac{1}{4}x-\frac{1}{8}=\frac{7}{8}+\frac{1}{2}x\)
Multiplying both sides of the equation by 8,
\(2x-1=7+4x\\\\-1=7+2x\\\\-8=2x\\\\x=\boxed{-4}\)
1/4x-1/2x=7/8+1/8
1/4x-2/4x=8/8
-1/4x=1
1/4x=-1
X=-1x4/1
X=-4
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Responses
30 cm²
30 cm²
70 cm²
70 cm²
125 cm²
125 cm²
150 cm²
150 cm²
A cube and a net of the cube are shown. The edge length of the cube is labeled 5 centimeters. The net consists of 4 squares connected vertically, and 1 square is attached to the left of the third square and 1 square is attached to the right of the third square. One square in the net is labeled with a side labeled 5 centimeters.
Answers
The surface area of the cube is 1536 ft².
We have,
The cube can be seen as 6 square areas in the net.
So,
The surface area of the cube.
= 6 x area of one square surface.
Now,
Side = 16 ft
Area of one square surface.
= side²
= 16²
= 256 ft²
Now,
The surface area of the cube.
= 6 x area of one square surface.
= 6 x 256
= 1536 ft²
Thus,
The surface area of the cube is 1536 ft².
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Select the graph that represents two quantities in a proportional relationship
Answers
The correct answer is option D.It is the graph that represents two quantities in a proportional relationship.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
As we can see graph D is showing the correct proportionality. We can also create an equation of proportionality as:-
Y = 2x
Put y = 0.5
0.5 = 2 x 0.5 = 1
As we put y=0.5 we get the value of x = 1 as shown in the graph.
Therefore the correct answer is option D.It is the graph that represents two quantities in a proportional relationship.
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Jose and Gavin are reading the same book. At the beginning of the month, Jose was
on page 10 and Gavin was on page 37. Jose will read 17 pages per day and Gavin will
read 14 pages per day. Let J represent the page of the book that Jose is on at the end
oft days into the month, and let G represent the page of the book that Gavin is on at
the end oft days into the month. Write an equation for each situation, in terms of t,
and determine what page Jose and Gavin will be on on the day they are both on the
same page.
Answers
Using linear functions, it is found that:
Jose's equation is: \(J = 17x + 10\).Gavin's equation is: \(G = 14x + 37\).They will be on the same page on the 9th day.Linear function:A linear function is modeled by:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.Jose:
Initially, he was on page 10, hence \(b = 10\).He reads 17 pages per day, hence \(m = 17\).Hence, Jose's equation is: \(J = 17x + 10\).Gavin:
Initially, he was on page 37, hence \(b = 37\).He reads 14 pages per day, hence \(m = 14\).Hence, Gavin's equation is: \(G = 14x + 37\).The day they will both be on the same page is x for which:
\(J = G\)
Hence:
\(17x + 10 = 14x + 37\)
\(3x = 27\)
\(x = \frac{27}{3}\)
\(x = 9\)
They will be on the same page on the 9th day.
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Convert 2.8 radians to degree measure. Round your answer to the nearest hundredth.
Answers
Answer:
16.04°
Step-by-step explanation:
\(2.8 \: rad = x \: degrees \\ \)
1rad × 180/π = 57.296°
\(x = 2.8 \times \frac{180}{\pi} = 16.0428 \\ x = 16.04\)
complete the statement
20ft 9 in = __in
Answers
Answer:
249 in
Step-by-step explanation:
find by a digit to make the number divisible by 3 1234?
Answers
A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.
To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.
Let's calculate the sum of the digits in 1234:
1 + 2 + 3 + 4 = 10
The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.
To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.
The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.
1234 + 2 = 1236
we obtain the number 1236, which is divisible by 3.
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If a 20-foot tree casts a 40-foot shadow, how tall is a tree that casts a 48-foot shadow?
Answers
On a coordinate plane, f (x) = x cubed + 4 curves up
through (2, negative 3), has an inflection point at (0, 4),
and curves up through (1, 5). G (x) = Rootindex 3
StartRoot x minus 4 EndRoot curves up through
(negative 4, negative 2), has an inflection point at (4, 0),
and curves up through (5, 1).
Consider the function show. Explain why the graph of a
function and its inverse are reflections over the line
y=x.
O The ordered pairs (a, b) of a function are (-a, -b) for
the inverse function.
O The ordered pairs (a, b) of a function are (-b, -a) for
the inverse function.
O The ordered pairs (a, b) of a function are (a, b) for
the inverse function.
O The ordered pairs (a, b) of a function are (b, a) for
the inverse function.
Answers
Answer: B
Step-by-step explanation:
I just solved it
The correct answer is . The ordered pairs (a, b) of a function are (b, a) for the inverse function.
refer to the following equation:y=2x-1. complete the table below to find co-ordinates
Answers
Answer:
Step-by-step explanation:
y=2x1-
So this is a very simple question.
First, analyze the problem
It says y=2x-1
The answer is +1 or 1 I believe
Someone pls correct me If I'm wrong.
Help pldssssssss………………..
Answers
The missing value for the quadratic function is given as follows:
y = -3.
How to obtain the quadratic function?As a function of it's roots x* and x**, the quadratic function is defined as follows:
y = a(x - x*)(x - x**)
In which a is the leading coefficient.
The roots of the function are the values of x when y = 0, hence:
x* = -4, x** = -2.
Thus:
y = a(x + 4)(x + 2)
y = a(x² + 6x + 8).
When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:
8a = -8
a = -1.
Hence:
y = -x² - 6x - 8;
The missing value is the value of y when x = -1, hence:
y = -(-1)² - 6(-1) - 8
y = -3.
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Phil walks around a field 4 times.
The field is 2.1 miles.
About how many miles does Phil walk in all?
Answers
Answer:
8.4
Step-by-step explanation:
You multiply 2.1 and 4
Please provide the answer
Answers
The radius of the circle is determined as r = 5.
option B.
What is the radius of the circle?The radius of the circle is determined by applying the general formula for circle equation.
(x - h)² + (y - k)² = r²
where;
h, k is the center of the circle r is the radius of the circlex, y are the coordinates of any point on the circleThe given circle equation;
4x² + 4y² = 100
Simplify the equation by dividing through by 4;
x² + y² = 25
x² + y² = 5²
So from the equation above, the radius of the circle corresponds to 5.
r = 5
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What is the answer of this triangle congruence question.
Answers
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
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A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.4 pounds and a standard deviation of 6.8 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 63 people on this diet, what would be the mean of the sampling distribution of sample means
Answers
Answer:
The mean of the sampling distribution of sample means would be of 23.4 pounds.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
What would be the mean of the sampling distribution of sample means?
By the Central Limit Theorem, the population mean, that is, of 23.4 pounds.
IXL need finished Help Fast !
Answers
Answer:
x = 9
Step-by-step explanation:
7x + 18 = 81
-18 -18
------------------------
7x = 63
÷7 ÷7
-----------
x = 9
I hope this helps!
Pls help me! This question makes no sense to me
Answers
Answer:
the answer is 208
Step-by-step explanation:
=24× 26/3
=24×26=624
=1×3
= 3
=624÷3
=3÷3
=208
Determine whether you would use a one-dimensional, two-dimensional, or three-dimensional
measurement to answer each of the following questions (you do not have to answer the questions.)
Explain your choice in each case.
a. You are planning to paint all of the walls in your kitchen. How much paint will you need?
b. A box measuring 3 inches by 6 inches by 9 inches is to be wrapped in brown paper. How much
paper will be needed?
c. After the box of part b is wrapped, it is to be tied with string. How much string will be needed?
Answers
Therefore , the solution of the given problem of dimensional comes out to be volume of given dimension is 162 inch cube
What exactly is the dimension?a three-dimensional figure is one with measurements in one or more directions, particularly height, length, or breadth. Two-dimensional When two variables are connected. Similar to how we are asked to locate a space ,Then, it depends on two variables: length and width.
Here,
Given dimensions :
=> length = 3 inch , width = 6 inches and height = 9 inches.
=> Volume = l*b*h
=> Volume = 3* 6* 9
=> Volume = 162 inch cube
Therefore , the solution of the given problem of dimensional comes out to be volume of given dimension is 162 inch cube
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In a large accounting firm, the proportion of accountants with MBA degrees and at least five years of professional experience is 75% as large as the proportion of accountants with no MBA degree and less than five years of professional experience. Furthermore, 35% of the accountants in this firm have MBA degrees, and 45% have fewer than five years of professional experience. If one of the firm's accountants is selected at random, what is the probability that this accountant has an MBA degree or at least five years of professional experience, but not both
Answers
Answer:
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3
Step-by-step explanation:
From the given study,
Let A be the event that the accountant has an MBA degree
Let B be the event that the accountant has at least 5 years of professional experience.
P(A) = 0.35
\(P(A)^C\) = 1 - P(A)
\(P(A)^C\) = 1 - 0.35
\(P(A)^C\) = 0.65
\(P(B)^C\) = 0.45
P(B) = 1 - \(P(B)^C\)
P(B) = 1 - 0.45
P(B) = 0.55
P(A ∩ B ) = 0.75 \(P(A^C \ \cap \ B^C)\)
P(A ∩ B ) = 0.75 [ 1 - P(A ∪ B) ] because \(P(A^C \ \cap \ B^C)\) = \(P(A \cup B)^C\)
SO;
P(A ∩ B ) = 0.75 [ 1 - P(A) - P(B) + P(A ∩ B) ]
P(A ∩ B ) = 0.75 [ 1 - 0.35 - 0.55 + P(A ∩ B) ]
P(A ∩ B ) - 0.75 P(A ∩ B) = 0.75 [1 - 0.35 -0.55 ]
0.25 P(A ∩ B) = 0.075
P(A ∩ B) = \(\dfrac{0.075}{0.25}\)
P(A ∩ B) = 0.3
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is: P(A ∪ B ) - P(A ∩ B)
= P(A) + P(B) - 2P( A ∩ B)
= (0.35 + 0.55) - 2(0.3)
= 0.9 - 0.6
= 0.3
∴
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3
the numbers one through 10 are written on individual cards and place in a bag. If you reach into the bag to pull out card what is the probability that it will be a 7
Answers
Answer:
1 in 10 chance
Step-by-step explanation:
There are 10 cards, so since you reach into the bag and pull out only 1 card, there is a 1 in 10 chance.
Arithmetic mean of marks (out of 25) scored by 10 students was 15. One of the student, named Karishma enquired the other 9 students and find the deviations from her marks are noted as −8,−6,−3,−1,0,2,3,4,6. Find Karishma's marks?
Answers
Answer:
Krishna's marks x marks
so...
xˉ=15
xˉ=15n=10
xˉ=15n=10∑x=x+x−8+x−6+x−3+x−1+x+x+2+x+3+x+4+x+6=10x−3
15=10x-3/10
150+3=10x
x=150/10=15.3 marks
Krishna scored 15.3 marks.
hope it helps you sis...
what is the slope of the line that passes through the points (-1,1) and (1,-15)
Answers
Answer:
\(\boxed{\text{The slope is -8.}}\)Step-by-step explanation:
To find the slope of the line, you have to use a slope formula.
Slope formula:
\(\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }\)
⇒ y2=(-15)
⇒ y1=1
⇒ x2=1
⇒ x1=(-1)
Rewrite the whole problem down.
\(\Longrightarrow: \sf{\dfrac{-15-1}{1-\left(-1\right)}=\dfrac{-16}{2}=\boxed{\sf{-8}}\)
So, the slope is -8, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
BRAINLIEST, 40 points
A girl's feet are negative 2/4 yards from the surface of a pool. A boy's feet are negative 3/4 yards from the surface of the pool. Determine whose feet are closer to the surface.
A. The girl's feet are closer to the surface of the pool because negative 2/4 > negative 3/4.
B. The boy's feet are closer to the surface of the pool because negative 2/4 > negative 3/4.
C. The girl's feet are closer to the surface of the pool because negative 2/4 < negative 3/4.
D. The boy's feet are closer to the surface of the pool because negative 2/4 < negative 3/4.
Answers
Answer:
A
Step-by-step explanation:
as a negitive 1/2 is closer than 3/4
realiza la siguiente operacion y simplifica el resultado.
5/8 - 7/10 + 13/20 - 3/4 + 1
Answers
Find the volume of each solid. Sana po ma answer ty
Answers
A truck with 30-in.-diameter wheels is traveling at 50 mi/h.
Find the angular speed of the wheels in rad/min, "hint convert miles to inches & hours to minutes:
_________rad/min
How many revolutions per minute do the wheels make?
___________rpm
Answers
Answer:
A. the angular speed is 3771.4 rad/min
b. 5921 rpms
Step-by-step explanation: I just got this same question right on a test.
Currently stuck on this problem. Can someone help me solve this? I don’t understand.
Answers
Step-by-step explanation:
the correct one is a = (-b)/2
Lin swims 10 laps in the pool in 25 minutes.
How many minutes per lap is that?
I am not good at math (о´∀`о)
Answers
Answer:
The answer is 2.5 minutes per lap.
Step-by-step explanation:
Divide the number of minutes by the amount of laps:
25/10 = 2.5
To check your answer, multiply 2.5 my the amount of laps.
2.5 x 10 = 25
I hope this helped you! If it did, please consider rating, pressing thanks, and/or giving my answer 'Brainliest.' Have a wonderful day. :)
Answer:
40 seconds per lap
Step-by-step explanation:
10 divided by 25 is 0.4
So im pretty sure the anser is 40 secounds
Sorry if im wrong- im not that great at math eaither I just used a calculator.
A pet store has 11 puppies, including 4 poodles, 5 terriers, and 2 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random with replacement (they may both select the same one), find the probability that Rebecka selects a terrier and Aaron selects a retriever.
Answers
The probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121
How to determine the probability?The distribution of the puppies is given as:
4 poodles, 5 terriers, and 2 retrievers
The probability of selecting a terrier is;
P(terrier) = 5/11
The probability of selecting a retriever is;
P(retriever) = 2/11
The required probability is
P = 5/11 * 2/11
Evaluate
P = 10/121
Hence, the probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121
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