Answers
Answer:
x² + y² = 3
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
Using Pythagoras' identity in right triangle CRT
CR² = 1² + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3 ( take the square root of both sides )
CR = r = [tex]\sqrt{3}[/tex] , then
x² + y² = ([tex]\sqrt{3}[/tex] )² , that is
x² + y² = 3
Related Questions
At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths. The machine has a dial that sets the length of the bars to be cut. However, the dial is currently out of alignment and the plant manager is collecting data to assess the situation. The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut. All measurements are in millimeters.
(a) Use the following grid to construct a scatterplot in which dial setting is the explanatory variable and output length is the response variable. Based on your graph, does a linear model seem appropriate? Justify your answer.
(b) Use the data to construct a least-squares regression line to predict output length from dial setting.
(c) Assume that all conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting
(d) The test statistic for the appropriate test is t=9.018. Do the data provide convincing statistical evidence that there is a linear relationship between output length and dial setting?
Answers
Check Attached Photos. Sorry, it didn't let me submit it through text because of "inappropriate language," despite me not having any in my answer.
For the plant which manufactures bars of steel, the conclusions are as follows;
A. The scatter graph is shown.
B. The equation is y = 2.204 + 1.007x
C. Null hypotheses (H₀); β = 0
Alternative hypotheses (Hₐ); β ≠ 0
D. P-value (0.0001) is less than the significance level (α = 0.05).
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths.
The machine has a dial that sets the length of the bars to be cut.
The dial is currently out of alignment and the plant manager is collecting data to assess the situation.
The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut.
All measurements are in millimeters.
Dail setting Output length
75 78
77 79
79 82
80 83
81 85
82 83
83 86
85 88
A. The scatter plot is shown below.
Based on the scatter plot, a linear model seems appropriate to the model relationships between the dial setting of the machine and the output length of the steel bar.
The scatter plot shows the strong (r = 0.965), positive, linear association. There do not appear to be any outliners.
B. From the data to construct a least-squares regression line to predict output length from dial setting. Then
y = (a + bx)
Let x be the dial setting machine and y be the output length of steel bars (in mm).
y = 2.204 + 1.007 x
C. All conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting.
Let β be the true slope of the population regression line relating the dial setting of the machine (x) and the output length of the steel bars (y) at the manufacturing plant.
Null hypotheses (H₀) ; β = 0
Alternative hypotheses (Hₐ) ; β ≠ 0
Appropriate test = slope of regression line t-test.
D. The test statistic for the appropriate test is t = 9.018 with 6 degrees of freedom (7 - 1)
The normal curve is shown;
Using calculator command t-CDF, with the alternative hypotheses as β≠0, then P-value = 0.0001.
In probability notation;
P(b≥0.017) = P(t≥9.018) = 0.00005
P-value = (2) × (0.00005) = 0.0001
P-value = 0.0001
Assume α = 0.05
Since our P-value (0.0001) is less than the significance level (α = 0.05), we do not convince statistical evidence that there is a linear relationship between output length and dial setting.
As the dial setting (x) increases, the output length of the steel bar (y) increases as well.
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
PLEASE HELP!!
what is the arrow pointing to? (l
CHECK THE PHOTO
Answers
Answer:
3.7
Step-by-step explanation:
each tick represents .1 unit
Find the height of a trainable with an area of 22 square inches and a base of 4 inches. Include the measurement of the shape in your answer. First who gets it right gets brainliest
Answers
Answer:
The height is 11 in
Step-by-step explanation:
I think you mean triangle?
area of a triangle is A = 1/2 b h
fill in and solve for h
22 = 1/2 4 h
44 = 4h
11 = h
Which equations are equal to this equation? Select all that apply. 1/4(8x + 56) = 20 A. 56 + 8x = 80 B. 14 = 20 – 8x C. 2x + 14 = 5 D. 2x = 6
Answers
Answer: Hewo, there! your answer is below
B, C, D Are your Answers
Step-by-step explanation:
These Answers Are correct On Edge
Hope this Helps!!!
Have a great day!!!
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
Hey There!
The Answer = 2
[tex]5(x + 2) = 20 \\ x + 2 = 20 \div 5 \\ x + 2 = 4 \\ x = 4 - 2 \\ x = 2[/tex]
Answer:
x=2
Step-by-step explanation:
5(2x+2)=20
5(4)=20
20=20
Delta Math Help!!!
Triangle proofs help. I’ve gotten this far, but I have no idea what to do next!!
Answers
The triangle ΔBAD is congruent to the triangle ΔCDA by SSS postulates.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
If the corresponding sides of the triangles are equal. Then the triangles will be a congruent triangles. And it is known as SSS postulates.
BD = AC and AB = CD
In triangles ΔBAD and ΔCDA, we have
BD = AC (Given)
AB = CD (Given)
AD = AD (Common side)
Then the triangle ΔBAD is compatible with the triangle ΔCDA by SSS proposes.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
please please help!!, please show help if possible :D
Answers
In the figure below, DF is a straight line. What is the degree measure of <FEG?
Answers
Answer:
c. 56 degrees
Step-by-step explanation:
angle FEG and angle DEG add up to 180.
2x-6+3x-31=180
x=31
2(31)-6=56
The measure of angle ∠ FEG is,
∠ FEG = 56°
We have to given that,
Angles are defined as,
∠ FEG = (2x - 6)°
∠ DEG = (3x + 31)°
Here, Angles FEG and angle DEG are linear pair.
Hence, angle FEG and angle DEG add up to 180.
2x - 6 + 3x + 31 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 155 / 5
x = 31
Therefore, The measure of angle ∠ FEG is,
∠ FEG = (2x - 6)°
∠ FEG = (2 × 31 - 6)°
∠ FEG = (62 - 6)°
∠ FEG = 56°
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ6
Members of a soccer team raised $1416.50 to go to a tournament. They rented a bus
for $877.50 and budgeted $24.50 per player for meals. Determine the number of
players the team can bring to the tournament.
Answers
Answer: The answer is 22 players
Step-by-step explanation:
find the area of the shaded part
Answers
Answer:
Step-by-step explanation:
the easiest thing to do is to make the half squares which you have 4 into 2 whole squares then base times height
4x3=12
Answer:
26cm²
Step-by-step explanation:
Alrighty, let's go count squares:
On the top row, there's 4 (adding the halves together), on the second row there's 5, and on the bottom row there's also 4, so we add that all together to get:
4 + 5 + 4 = 13
But, because each square is 2 cm, we have to multiply:
13 x 2 = 26
So, the area of the shaded section is 26cm²
hope this helps:)
A group Students is painting a background piece for the school play what is the area of the part that is painted grey?
Answers
Answer:
108 inches
Step-by-step explanation:
6X6X3
The number of music CDs sold in 1993 by one company was approximately 2.4 x 100. The number of music CDs sold by the same
company in 2001was approximately 7.3 x 107. What is the difference in CDs sold between 1993 and 2001?
sobod uopsand
A. 70,600,000
OB. 16,700,000
C. 7,060,000
D. 1,670,000
Reset Selection
US 5:33
o
Lenovo
Answers
Answer:
A
Step-by-step explanation:
Get Big Brain for this!!!
Ok so if u go to the very bottom of the world will u be in all the time zones???
Answers
Answer:
That would be impossible because you would get melted by the earth core
Step-by-step explanation:
When you say bottom of the world, I'm assuming you mean the middle or the core. Like the other answer said, I'd just die. BUT if I didn't die, then yes, I think I'd be in all the time zones. :) Or I just wouldn't have a sense of time.
We tell time based on how much sunlight we get, so would that mean it would be midnight forever?
Add 5 and 14, triple the sum, and then add four-
fifths.
Answers
Answer:
57.8 or 57 and four fifths
Step-by-step explanation:
5+14=19
19*3=57
57+0.8= 57.8
Which diagram best represents the relationship among integers, rational numbers, and whole numbers?
Answers
Rational numbers, integers and whole numbers
Malik bought a pack of erasers for $3.50 and some pencils for $0.99 each. He paid a total of $10.43. Which equation can be used to find the number of pencils Andrew bought? \
Answers
Answer:
The equation that can be used to find the number of pencils Andrew bought is:
x=(c-3.50)/0.99
Step-by-step explanation:
With the information provided, you can say that the total amount paid would be equal to the price of the pack of erasers plus the price per pencil for the number of pencils purchased, which can be expressed as:
c=3.50+0.99x, where:
c is the total cost
x is he number of pencils purchased
Now, you can solve for x in order to find the equation to calculate the number of pencils Andrew bought:
c-3.50=0.99x
x=(c-3.50)/0.99
According to this, the answer is that the equation that can be used to find the number of pencils Andrew bought is:
x=(c-3.50)/0.99
classify the polynomial 11x^2-10x+7
Answers
At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles?
Answers
And 74 kids have freckles, so we have to find the % of those kids with freckles.
258–100%
74-?%
Let’s find 1% of the kids.
258/100=2.58
Now let’s find the % of 74 kids.
74/2.58=28.68%~28.7%
(The percent of the kids with freckles is 28.7%)
What is the slope of the line?
Answers
Explanation: Rise over Run. Since the line is going downwards, the slope is negative
An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability of the spinner not landing on red.
Red = 8
Blue = 7
Green = 9
Yellow = 6
A. 3/5
B. 11/15
C. 2/5
D. 4/15
Answers
Answer:
Probability(Not red) = 11 / 15
Step-by-step explanation:
Given:
Outcomes;
Red = 8
Blue = 7
Green = 9
Yellow = 6
Find:
Probability(Not red)
Computation:
Probability(Not red) = 1 - Probability(red)
Probability(Not red) = 1 - [Number of red/ Total]
Probability(Not red) = 1 - [8/(8+7+9+6)]
Probability(Not red) = 1 - [8/30]
Probability(Not red) = 1 - [4/15]
By taking LCM
Probability(Not red) = (15 - 4) / 15
Probability(Not red) = 11 / 15
solve this question step by step on paper
8.1÷4
Answers
Answer:
2.025
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/8.1%5Cdiv4%E2%80%8B
26 beats in 1/6 minutes equals what beats per minute
Answers
Answer:
156
Step-by-step explanation:
Answer:
156
Step-by-step explanation:
26 for every 1/6
So we multiply 26 times 6 to get the full minute
What is the value of the expression 3b+20 for b=30
Answers
Answer:
110
Step-by-step explanation:
3×30=90
90+20=110
hope this helps
plz can i get brainliest:)
Anthony starts with $400 in his bank account. Over the course of a week, he withdraws $50, deposits $70, and withdraws $20. How much money is in his account?
show your work, please
Answers
Answer:
The answer is 400
Step-by-step explanation:
Withdraw means to take out, deposit means to put in. So you adding and subtracting all the numbers. 400-50+70-20= 400
HELP ME PLEASE I'll give brainless.
Answers
POL= 59
need by midnight pretty simple i just don't know how to explain it.
Answers
Answer:
Side x is adjacent to 30° angle.
Correct method is:
cos 30° = x/15 ⇒ x = 15*cos 30° ⇒ x = 12.99Diego is correct and Steven is wrong.
when finding sine consider the opposite side to the angle, not hypotenusewhen finding cosine consider adjacent side to the angle, not hypotenuseASAP, Please help me with this question this is time sensitive.
Erik buys a new combination lock for his locker at the gym. The lock has 3 dials, each with the numbers 0 through 9.
The probability that he sets the combination as 4-3-9 is _____.
Answers
Answer: did anyone find the answer???
Step-by-step explanation:
Madison makes $1,800 per month at the salon, but 15% of that amount goes to her rent for her booth. What two numbers can you multiply to find out how much she has after paying her rent?
Answers
Answer:
well the answer is 120
Step-by-step explanation:
Solve for y: 5(y + 2/5) = -13
Answers
Hope this help
Answer:
y = -3
Step-by-step explanation:
Let's solve your equation step-by-step.
5 (y+2/5) = −13
Step 1: Simplify both sides of the equation.
5(y+2/5)= −13
(5)(y) + (5)(2/5) = −13(Distribute)
5y + 2 = −13
Step 2: Subtract 2 from both sides.
5y + 2 − 2 = −13 −2
5y = −15
Step 3: Divide both sides by 5.
5y/5 = −15/5
y = −3
Answer:
y = −3
hope this helps and is right :)
What is the area of the triangle?
Answers
Answer:
A = 6.36
Step-by-step explanation: