Answer:
[tex]d=\sqrt[]{2(x^2+36^{})}[/tex]Explanation:
Given the equation of the line as;
[tex]x+y=2[/tex]We can express y in terms of x by subtracting x from both sides of the equation;
[tex]y=-x+2[/tex]Let the point on the line be P(x, y)
We'll use the below distance formula to determine the distance between point P(x, y) to the given point (6, 8) as seen below;
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]\begin{gathered} d=\sqrt[]{(6-x)^2+(8-y)^2} \\ d=\sqrt[]{(36-12x+x^2)+\lbrack8-(-x+2)\rbrack^2} \\ d=\sqrt[]{(36-12x+x^2)+(6+x)^2} \end{gathered}[/tex][tex]\begin{gathered} d=\sqrt[]{(36-12x+x^2)+(36+12x+x^2)} \\ d=\sqrt[]{72+2x^2} \\ d=\sqrt[]{2(x^2+36^{})} \end{gathered}[/tex]The two-way frequency table contains data about how students access courses.
Traditional Online Row totals
Computer: |28| |62| |90|
Mobile device: |46| |64| |110|
Column totals: |74| |126| |200|
What is the joint relative frequency of students who use a mobile device in an online class?
Relative frequency of students who use online class in percentage = 62.17%
What is percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.
For example 2% means [tex]\frac{2}{100}[/tex]. Here 2 is expressed as a fraction of 100.
Here,
Number of students using mobile in traditional class = 46
Total number of students in traditional class = 74
Relative frequency of students who use online class in percentage =
[tex]\frac{46}{74} \times 100[/tex]
= 62.17%
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joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day. on days when he doesn't walk, he runs all that distance at the gym. but if he walks 2 blocks, he cuts of 1/12 a mile off his run. today joshua walked 12 1 12 blocks. how far will he run at the gym?
3.75 miles he run at the gym.
What is distance?
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
Given: Joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day.
On days when he doesn't walk, he runs all that distance at the gym.
But he walks 2 blocks, he cuts of 1/12 a mile off his run.
Today Joshua walked 12 blocks.
As he walked 12 blocks - 6 times 1/12 miles - so that's 0.5 a mile he cut from the exercise.
He will run at the gym for 4.25 - 0.5 = 3.75 miles in total.
4.25 - 6(1/12) = 3.75
Therefore, 3.75 miles he run at the gym.
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A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds in favor of the Cougars winning the toss in exactly two of three games?A.3:5B.3:8C.5:3D.8:3
in irder to solve this problem
we need to now that the probability to win one coin toss is 0.5
so other thing we need to know is
there all these possible scenarios that will happen
w= win
L=lose
WWW
WWL
WLW
LWW
LLW
LWL
LLW
LLL
as you can see only in 3 scenarios when the cougar win exactly 2
so the correct answer is B
Which of the following is equivalent to 1.92?
A.1.92%
B.19.2%
C.25/23
D.1 23/25
Answer :A i think
Step-by-step explanation:
The volleyball team has a record of 6 wins and 2 losses. What other team has a proportional win-loss record? Basketball: 12 wins, 5 losses Football: 3 wins, 1 loss Wrestling: 12 wins, 6 losses Debate: 3 wins, 4 losses
The number of win and losses of the volleyball team is related by a constant number, 3. This means that they're proportional. To find if the other teams also have proportional win-loss records we need to divide the number of their wins by the number of losses, if the result is an integer number, then they're proportional. We have:
[tex]\begin{gathered} \text{ basketball=}\frac{12}{5}=2.4 \\ \text{ football=}\frac{3}{1}=3 \\ \text{ wrestling=}\frac{12}{6}=2 \\ \text{ debate =}\frac{3}{4}=0.75 \end{gathered}[/tex]Since the football team has a proportional win-loss record with the same proportion as the Volleyball team, then this is the correct answer.
the theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the:
The theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the Central Limit Theorem
The Central Limit Theorem is a statistical theorem that states that, given a sufficiently large sample size, the distribution of the mean of any sample will be approximately normal, regardless of the shape of the distribution from which the sample was drawn.
In other words, the theorem states that the mean of a large sample will be close to the mean of the population, and that the standard deviation of the distribution of the sample mean will be small.
The theorem is important because it provides a way to approximate the distribution of any sample statistic, as long as the sample size is large enough. This is useful because many statistical tests, such as hypothesis tests and confidence intervals, require that the data be normally distributed.
The theorem is also important because it provides a way to quantify the amount of error that is introduced when a sample is used to estimate a population parameter. This is known as the standard error, and it is equal to the standard deviation of the distribution of the sample mean divided by the square root of the sample size.
The Central Limit Theorem is one of the most important theorems in statistics, and it is widely used in many different fields.
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Write an equation for a circle in standard
form with a center at (-6, 5) and passes
through the point (-11, 3).
Answer:
is a way to express the definition of a circle on the coordinate plane. The formula is ( x − h) 2 + ( y − k) 2 = r 2. h and k are the x and y coordinates of the center of the circle. ( x − 9) 2 + ( y − 6) 2
Step-by-step explanation:
Hope it helped the answer is up there☝
Suppose that you are designing an aluminum can which will hold a volume of 200pi cm^3 of soup. Find the value of the radius that minimizes the amount of aluminum used, and justify that this gives a local minimum. Include units.
The value of the radius that minimizes the amount of Aluminium is 4.64 cm and it gives the local minimum of the function
How to determine the value of the radius that minimizes the amount of Aluminium?From the question, the volume of the aluminium is given as
Volume = 200pi cm^3
Rewrite this volume properly using the correct symbols and units
So, we have the following representation
Volume = 200π cm³
Solving further, we make use of the volume of a cylinder (i.e. a can)
The volume of a sphere is represented as
V = πr²h
Substitute Volume = 200π cm³ in
πr²h = 200π
Make h the subject in the above equation
This gives
h = 200π/πr²
Cancel the common factors
h = 200/r²
The surface area of a can is
A = 2πr(h + r)
So, we have
A = 2πr(200/r² + r)
This gives
A = 400π/r + 2πr²
Differentiate the function
This gives
A' = -400π/r² + 4πr
Set the differentiated function to 0
-400π/r² + 4πr = 0
So, we have
-400π/r² = -4πr
Cross multiply
-400π = -4πr³
Divide through by -4π
r³ = 100
Take the cube roots
r = 4.64
Hence, the radius that given minimum material is 4.64 cm
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In an experiment, the probability that event B occurs is -, and the probability that event A occurs given 7 기 7 that event B occurs is - 8 What is the probability that events A and B both occur? Simplify any fractions.
ANSWER
P(A and B) = 1/2
EXPLANATION
By the Bayes Theorem we have a relationship between the given probabilities:
[tex]P(A\text{ and B)}=P(B)\cdot P(A|B)[/tex]In this problem P(B) = 4/7 and P(A|B) = 7/8:
[tex]P(A\text{ and B)}=\frac{4}{7}\times\frac{7}{8}=\frac{4}{8}=\frac{1}{2}[/tex]can you solve this quickly
Answer:
A
Step-by-step explanation: The lines are only intersecting with each other once
Answer:
A) 1 solution; consistent and independent
Step-by-step explanation:
on the graph the line only intersects once so there is only 1 solution and if 2 graphs have at least 1 solution it is considered consistent and if it has only one solution then it is independent.
Hopes this helps please mark brainliest
A patient is advised by his doctor to reduce his daily soda intake by 25%. Currently, he drinks 4.5oz. cans of soda per day. How many ounces of soda can the patient drink if he reduces his intake by 25%?
Answer: 3.375oz
Explanation
Given
• Reduce his daily soda intake by 25%.
,• Currently, he drinks 4.5oz. cans of soda per day.
,• Ounces of soda can the patient drink if he reduces his intake by 25%?
We have to build a relation, where 4.5 is our 100% and x is 75% (100 - 25 = 75%):
[tex]\frac{x}{75}=\frac{4.5}{100}[/tex][tex]x=\frac{4.5}{100}\cdot75[/tex]Solving for x:
[tex]x=4.5\cdot0.75[/tex][tex]x=3.375[/tex]Which ordered pair is the solution to this system of equations?• y=x+4x + y = 21 (1,5)2 (0,2)3 (-1,3)4 (4.0)
Given the system of the equations:
y = x + 4
x + y = 2
By substitution with y from the first equation at the second equation
so,
x + (x+4) = 2
solve to find x
so,
x + x + 4 = 2
2x = 2 - 4
2x = -2
Divide both sides by 2
x = -2/2 = -1
Substitute at the first equation with x to find y
So, y = -1 + 4 = 3
so, x = -1 and y = 3
so, the order pair which a solution is (-1 , 3)
A pair of parallel lines is cut by a transversal, as shown:
Which of the following best represents the relationship between angles A and B? (4 points)
Group of answer choices
A = 2B
B = 180 degrees − A
A = B
A = 180 degrees − B
Answer:
A incorrect
Step-by-step explanation:
the degree is a optional request
If y = 45° and a = 7√2 cm, find the
exact area of the triangle.
a
X
C
y
b
Answer:
tan y = a/b = 1
(.tan 45° = 1)
a=b
Areas a=1/2 a * b = 1/2 =1/2 * 7√2 * 7√2 cm
b = 7√2 cm
= 49cm²
Step-by-step explanation:
find range of f(x)=4/3x^2-3x
Answer:
y>= -27/16
Step-by-step explanation:
I just put in the calculator
What are the properties of a translation?Give the coordinates of the.T(3, -1 (AABC) for A(5, 0), B( -1, 2), C(6, -3)
Solution:
Given the coordinates of the image;
[tex]T_{(3,-1)}(\triangle ABC):A(5,0),B(-1,2),C(6,-3)[/tex]The coordinates of the new image is;
[tex]\begin{gathered} A^{\prime}(5+3,0-1),B^{\prime}(-1+3,2-1),C^{\prime}(6+3,-3-1) \\ \\ A^{\prime}(8,-1),B^{\prime}(2,1),C^{\prime}(9,-4) \end{gathered}[/tex]please help The table below shows the probability distribution of a random variable Y. What is the expected value of Y? Write your answer as a decimal.
Step 1. We are given a table with values for Y and their corresponding probability P(Y).
Required: Find the expected value of Y.
Step 2. First, we will label the Y values as Y1, Y2, Y3, Y4 as shown in the diagram:
And we will label the corresponding probabilities as P1, P2, P3, and P4, shown in the following diagram:
Step 3. The formula to calculate the expected value E(Y) is:
[tex]E(Y)=Y_1P_1+Y_2P_2+Y_3P_3+Y_4P_4[/tex]Step 4. Substituting the values from step 2 into the formula from step 3:
[tex]E(Y)=(14)(0)+(15)(0.6)+(16)(0.3)+(17)(0.1)[/tex]Solving the operations:
[tex]\begin{gathered} E(Y)=0+9+4.8+1.7 \\ E(Y)=15.5 \end{gathered}[/tex]The expected value is 15.5
Answer: 15.5
NEED HELP FAST FOR GEOMETRY 10TH PLEASEEEEEE
Answer:
The answer is the first option
Step-by-step explanation:
Tan is opposite over adjacent
so its 24/10
simplify
12/5
hope this helped
find the slopes of the given points -5,-1 and -5,-10
The slope (m) of the given points is -9.
What do we mean by slopes?A line's steepness can be determined by looking at its slope. In mathematics, the slope is determined by dividing the change in y by the change in x, or "rise over run."Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.So, the slope will be:
Slope formula: m = y₂ - y₁/x₂ - x₁Now, calculate as follows:
m = y₂ - y₁/x₂ - x₁m = -10 - (-1)/-5 - (-5)m = -10+ 1/-5 + 5m = -9/0m = -9Therefore, the slope (m) of the given points is -9.
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Write8600asaBabylonianNumeral.
First we need to divide 8600 by 3600 and the remainder divide it by 60, let's see how it goes:
This means that we can write 8600 like this:
[tex]8600=3600x2+60x23+20[/tex]With the quotients and the laste residue we can make the block of symbols:
What are the x and y intercepts? What do they mean in terms of the graph?
please help me someone with math I screenshot the question please help
The correct order of the steps in a trial from first to last, include the following:
Jury selection.Opening statements.Presentation of evidence.Closing statements.Jury deliberation.VerdictSentencingWhat is a trial court?A trial court can be defined as a court of original jurisdiction where issues of fact, evidence, laws, and testimony for a litigation are first received, considered and decided, based on the deliberation by the jury.
Generally speaking, the citizen jury are legally empowered by the constitution to perform the following actions and activities:
Engage in legal proceedings.Deliberate and carry out an investigation with respect to a potential criminal case.Determine whether or not an evidence is quite sufficient to warrant trial of an accused person in a court of competent jurisdiction.In conclusion, a trial court is saddled with the responsibility of persuading the citizen jury before giving its verdict and sentencing a guilty offender, as the case may be.
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Graph the following quadratic equation y=5x^2
Given:
[tex]y=5x^2[/tex]We have the graph below:
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
find the Area and Perimeter of the shaded figure Area = x squre unitsPerimeter = x units
Solution
We want to find the area and perimeter of the shaded figure.
The shape below is a rectangle
Therefore, the area of a rectangle is
[tex]\begin{gathered} A=L\times W \\ \text{ Where L is the length and W is the width} \end{gathered}[/tex]while the perimeter of a rectangle is given by
[tex]P=2(L+W)[/tex]Here, L = 2 unit and B = 3 units
[tex]A=2\text{ units}\times3\text{ units}=6\text{ square units}[/tex][tex]P=2(2+3)=2\times5=10\text{ units}[/tex]Hence,
Area = 6 square units
Perimeter = 10 units
Margie is 4.25 feet tall . The maple tree in her backyard is 5.5 times taller than her. How tall is the maple tree?
Answer:
Given that,
Margie is 4.25 feet tall
The maple tree in her backyard is 5.5 times taller than her.
To find the height of the maple tree.
we get,
Height of the maple tree is,
[tex]=4.25\times5.5[/tex][tex]=23.375[/tex]Maple tree is 23.375 feet tall.
The slope of the line that passes through the points ( 0 , 3 ) a n d ( 5 , 13 )
The formula of a slope:
[tex]\huge\begin{array}{ccc}m=\dfrac{y_2-y_1}{x_2-x_1}\end{array}[/tex]
We have two points:
[tex](0,\ 3)\to x_1=0,\ y_1=3\\\\(5,\ 13)\to x_2=5,\ y_2=13[/tex]
Substitute:
[tex]m=\dfrac{13-3}{5-0}\\\\m=\dfrac{10}{5}\\\\\boxed{m=2}[/tex]
Answer:
Slope = 2
Step-by-step explanation:
Now we have to,
→ find the slope of the line.
Formula we use,
→ Slope(m) = (y2 - y1)/(x2 - x1)
Then the slope will be,
→ m = (y2 - y1)/(x2 - x1)
→ m = (13 - 3)/(5 - 0)
→ m = 10/5
→ [ m = 2 ]
Hence, the slope is 2.
hello, I need help asap on this following problem. I don’t know how to approach and don’t want to get it wrong.
The slope-intercept form of a line equation is given by:
[tex]y=mx+b[/tex]Where m is the slope of the line and b is the y-intercept. From the problem, we identify:
[tex]m=-0.6[/tex]To find b, we use the fact that when x = 20, y = 13:
[tex]\begin{gathered} 13=(-0.6)20+b \\ 13=-12+b \\ \\ \Rightarrow b=25 \end{gathered}[/tex]Finally, for x = 16 (the corresponding y is the height of the candle after 16 hours):
[tex]\begin{gathered} y=-0.6(16)+25=-9.6+25 \\ \\ \therefore y=15.4\text{ cm} \end{gathered}[/tex]Which system of inequalities is shown?55-5.5O A. y>xy<2B. y> xy> 2O c. y< xC.y<2D. y 2
The equations of the two lines are y=2 (the horizontal one) and y=x (the diagonal line).
The region is 'under' y=x without including such line, and 'above' y=2 without including that line.
Therefore, the system of inequalities whose solution is the shaded region is
[tex]\begin{gathered} y>2 \\ and \\ yThus, the answer is y>2, yFor the model y = 150(0.8)^x in the problem, what will be the world population of Iberian lynx in 2020? Year Population2003 1502004 120 A.2B.3C.20D.39
B
1) In this question, y stands for population, and x stands for year.
2) Since the first year is 2003, then 2020 -2003 = 17. Let's plug into x, this value:
[tex]\begin{gathered} y=150(0.8)^{17} \\ y=3.37\text{ } \\ y\approx3 \end{gathered}[/tex]3) Rounding off to the nearest whole number, the population of Iberian lynx will be approximately 3 lynxes.