(06.02 LC)
Which line best represents the line of best fit for this scatter plot?
Line P
Line Q
Line R
Line S
Answers
hope this helps:)
Answer:
The correct option is 3. Line R represents the line of best fit for this scatter plot.
Step-by-step explanation:
A straight line is called line of best fit if it minimize the sum of the squared prediction errors. It means the distance of all the points from the line is minimum.
The best fit line may or may not passes through the scatter points. Some scatter points lie above the line and some lie below the best fit line. In other words the best fit line passes through the middle points.
From the given graph it is clear that the line R passes through 3 points. The number of points above the line is equal to the number of points below the line. So, R is the line of best fit
Line R represents the line of best fit for this scatter plot. Therefore the correct option is 3.
Related Questions
You roll two standard number cubes. What is the probability that the sum is odd, given than one of the number cubes shows a 1? Show your work.
Answers
This probability is different because they give us a restriction with the "given that one f the cubes shows a one". The denominator becomes the number total number of rolls with a 1, and the numerator is the sum is odd.
P (odd sum is, given 1 number is a 1) = 6/11
Find the surface area of a sphere with a volume of 36π in3.
SHOW WORK
will give medals and mark brainliest
its 113.10 inches squared
Answers
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
[tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
[tex]r=\sqrt[3]{\frac{3(36\pi)}{4\pi}}[/tex]
[tex]r=\sqrt[3]{27}[/tex]
[tex]r=3[/tex]
Then use the radius to get the surface area:
[tex]A_{surf}=4 \pi r^{2}[/tex]
[tex]A_{surf}=4 \pi 3^{2}[/tex]
[tex]A_{surf}=4 \pi 9[/tex]
[tex]A_{surf}=36\pi\approx113.09[/tex]
To find the surface area of a sphere given the volume, first solve for the radius using the volume formula (4/3πr³). In this case, the radius is 3. Then, use the surface area formula (4πr²), which gives the surface area as 36π square inches, or an approximate value of 113.10 square inches.
Explanation:The volume of a sphere is given by the formula V = 4/3 * π * r³. First, we need to find the radius of the sphere. Set the volume of the sphere (36π in³) equal to the volume formula and solve for r:
36π = 4/3πr³
From this, we find that r = 3. Now, we use the radius to find the surface area with the formula A = 4πr²:
A = 4π * 3² = 36π in²
So, the surface area of a sphere with a volume of 36π in³ is 36π square inches or approximately 113.10 square inches.
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150 centimeters is equivalent to
Answers
John is participating in a marathon that is 26.2 miles. His distance (d, in miles) depends on his time (t, in hours). Which is an appropriate range for this situation?
Answers
The appropriate range for John's distance in miles (d) during the marathon is A. [tex]$0 \leq d \leq 26.2$[/tex].
In a marathon, the distance (d) John covers depends on the time (t) he spends running. The distance is fixed at 26.2 miles, so we need to find the appropriate range for the time (t) he spends running.
Let's calculate John's average speed (v) during the marathon. We know that speed is given by:
[tex]\[ v = \frac{d}{t} \][/tex]
Where:
- v = average speed (miles per hour)
- d = distance covered (miles)
- t = time spent running (hours)
Given that John's distance is 26.2 miles, and the marathon covers this distance, we have:
[tex]\[ 26.2 = \frac{26.2}{t} \][/tex]
Solving for t:
[tex]\[ t = \frac{26.2}{26.2} = 1 \][/tex]
So, John takes 1 hour to cover the 26.2 miles.
Now, let's consider the maximum and minimum possible times for John to complete the marathon:
- Minimum time: John completes the marathon in the fastest time possible. Let's say this is 0. This implies he runs the marathon in 0 hours.
- Maximum time: John takes his time and completes the marathon at the slowest pace possible. Let's use the average time for a marathon, which is around 4.5 hours.
Thus, the appropriate range for the time (t) is:
[tex]\[ 0 \leq t \leq 4.5 \][/tex]
This corresponds to option C: [tex]$0 \leq t \leq 4.5$[/tex].
Complete Question:
John is participating in a marathon that is 26.2 miles. His distance (d, in miles) depends on his time (t, in hours) Which is an appropriate range for this situation?
A. [tex]$0 \leq d \leq 26.2$[/tex]
B. [tex]$0 \leq d \leq 4.5$[/tex]
c. [tex]$0 \leq t \leq 4.5$[/tex]
D. [tex]$0 \leq t \leq 26.2$[/tex]
(05.02)
What is the y-intercept of the line shown?
−1
0
0.5
1
Answers
Which answer is correct
Answers
diagonal is square root of A^2+b^2
so C is the correct answer
Which shows 54^2 − 46^2 being evaluated using the difference of squares method?
54^2 − 46^2 = (2916 + 2116)(2916 − 2116) = 4,025,600
54^2 − 46^2 = (54 + 46)(54 − 46) = (100)(8) = 800
54^2 − 46^2 = 2916 − 2116 = 800
54^2 − 46^2 = (54 − 46)^2 = 8^2 = 64
Answers
(a^2-b^2)=(a+b)(a-b)
So in this case:
(54^2-46^2)=(54+46)(54-46)=(100)(8)=800
hope it helps
The diffrence between a term and
coefficient
Answers
- A coefficient tells you how many times to multiply a variable.
· Ex: 4xy = Coefficient: 4
- A term is each of the numbers in an equation, ratio, etc.
· Ex: 5x + 7y + (4x - 4y) + 2 = Terms: 5x, 7y, (4x - 4y), and 2
I am 99.9% sure this is the correct answer, but if it isn't I am truly sorry, and please forgive me.
can you help me????????
Answers
now, if AC is that much, recall, BD is the midsegment, thus AB = BC, so AB is just one of the equal halves of AC, so, AB is AC/2.
What is the solution of sqrt 2x + 4 = 16 ? x = 6 x = 72 x = 126 no solution
Answers
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
[tex]\sqrt{2x+4}=16[/tex]
We need to find the value of 'x'.
First we squaring the both sides:
[tex](\sqrt{2x+4})^2=16^2\\\\2x+4=256\\\\2x=256-4\\\\2x=252\\\\x=\dfrac{252}{2}\\\\x=126[/tex]
Hence, the value of x is 126.
Therefore, Third option is correct.
Answer:
C on Edge
Step-by-step explanation:
Received a 100% on the quiz.
The area of a rectangular plot 24 feet long and 16 feet wide will be doubled by adding an equal distance to each side of the plot. What is the distance added to each side?
Answers
24*16 = 384
384*2 = 768
24+d * 16+d =768
384 + 40d+d^2 = 768
d^2 + 40d-384 =0
(d+48) (d-8) = 0
d=-48, d=8 can't use a negative number so d = 8
check:
24+8=32, 16+8=24, 32x 24 = 768
so 8 feet is added to each side
last question
help me pls c:
Answers
The sum of two numbers, x and y, is 12. The difference of x and two times y is 6. What are the values of x and y? x = 8, y = 4 x = 10, y = 2 x = 18, y = -6 x = 20, y = -8
Answers
x-2y=6
hmm
multiply 2nd equation by -1 and add to first
-x+2y=-6
x+y=12 +
0x+3y=6
3y=6
y=2
sub back
x+y=12
x+2=12
x=10
x=10, y=2
In the diagram, ∠ABC = 90°. What is the radius of the circle?
A. 5.7 in
B. 16.5 in
C. 24.6 in
D. 12.3 in
Answers
D. 12.3 in
Explanation and solution;We are give that ∠ABC = 90°; therefore a line from point A to point C is the diameter, this is because a diameter subtends an right angle to the circumference of the circle. Therefore; triangle ABC is a right-angled triangle, thus AC is the hypotenuse.Using the Pythagoras theorem;
AC² = AB² + BC²
= 22.1² + 10.9²
= 607.22
AC = √ 607.22
= 24.64
But, since AC is the diameter and the radius is half of the diameter, then
Radius = 24.64/2
= 12.32
≈ 12.3 (to 1 decimal place)
Which theorem could Chelsea use to show the measure of angle KPR is equal to the measure of angle QRL?
Answers
Given f(x) = x2 + 4x − 1 and g(x) = 5x − 7, identify (fg)(x).
Answers
(fg)(x) = (x^2 + 4x − 1)(5x − 7)
(fg)(x) = 5x^3 + 20x^2 - 5x - 7x^2 - 28x + 7
(fg)(x) = 5x^3 + 13x^2 - 33x + 7
answer is C. third choice
(fg)(x) = 5x^3 + 13x^2 - 33x + 7
The product of the functions[tex]\( f(x) = x^2 + 4x - 1 \) and \( g(x) = 5x - 7 \) is \( 5x^3 + 13x^2 - 33x + 7 \).[/tex]
The correct answer is indeed [tex]{C} \),[/tex] which matches [tex]\( 5x^3 + 13x^2 - 33x + 7 \).[/tex]
To find the product[tex]\( (f \cdot g)(x) \)[/tex], where [tex]\( f(x) = x^2 + 4x - 1 \)[/tex] and [tex]\( g(x) = 5x - 7 \),[/tex]we need to perform the multiplication of these two functions.
Start by expanding [tex]\( f(x) \cdot g(x) \):[/tex]
1. Write down ( f(x) ):
[tex]\[ f(x) = x^2 + 4x - 1 \][/tex]
2. Write down ( g(x) ):
[tex]\[ g(x) = 5x - 7 \][/tex]
3. Perform the multiplication [tex]\( f(x) \cdot g(x) \)[/tex]:
[tex]\[ f(x) \cdot g(x) = (x^2 + 4x - 1)(5x - 7) \][/tex]
4. Distribute [tex]\( x^2 + 4x - 1 \)[/tex] across ( 5x - 7 ):
[tex]\[ f(x) \cdot g(x) = x^2 \cdot (5x - 7) + 4x \cdot (5x - 7) - 1 \cdot (5x - 7) \][/tex]
5. Perform the multiplications:
[tex]\[ x^2 \cdot (5x - 7) = 5x^3 - 7x^2 \][/tex]
[tex]\[ 4x \cdot (5x - 7) = 20x^2 - 28x \][/tex]
[tex]\[ -1 \cdot (5x - 7) = -5x + 7 \][/tex]
6. Combine all the terms:
[tex]\[ f(x) \cdot g(x) = 5x^3 - 7x^2 + 20x^2 - 28x - 5x + 7 \][/tex]
7. Simplify by combining like terms:
[tex]\[ f(x) \cdot g(x) = 5x^3 + (20x^2 - 7x^2) + (-28x - 5x) + 7 \][/tex]
[tex]\[ f(x) \cdot g(x) = 5x^3 + 13x^2 - 33x + 7 \][/tex]
Therefore, the product [tex]\( (f \cdot g)(x) \) is \( 5x^3 + 13x^2 - 33x + 7 \).[/tex]
The correct answer is indeed [tex]{C} \),[/tex] which matches [tex]\( 5x^3 + 13x^2 - 33x + 7 \).[/tex]
Help asap plz ill give a gold medal. the label on cars antifreeze claims to protect the car between -30celsius and 130celsius. to convert Celsius temperature Fahrenheit temperature, the formula is, c=5/9(F-32). Write an solve and inequality to determine the Fahrenheit temperature range at which antifreeze protects the car.
Answers
[tex]-30\ \textless \ \frac{5}{9} (F-32)\ \textless \ 130[/tex]
Now it's just a matter of solving the inequalities simultaneously. Get rid of the fraction by multiplying everything by 9:
[tex]-270\ \textless \ 5(F-32)\ \textless \ 1170[/tex]
Then distribute the 5 into the parenthesis:
[tex]-270\ \textless \ 5F-160\ \textless \ 1170[/tex]
Now add 160 everywhere:
[tex]-110\ \textless \ 5F\ \textless \ 1330[/tex]
and finally divide everything by 5:
-22<F<266
Consider the relation y = 4|x + 2| + 7. What are the coordinates of the vertex?
(7, −2)
(2, 7)
(4, −2)
(−2, 7)
Answers
x + 2 = 0
Then, we solve for the value of x.
x + 2 - 2 = 0 - 2
Hence, the value of x from the equation above is equal to -2.
Then, substitute the value of x to the equation and drop the absolute value symbol.
y = 4(x + 2) + 7
Substituting,
y = 4(-2 + 2) + 7
y = 4(0) + 7
y = 7
Thus, the vertex of the absolute value equation is equal to (-2,7). The answer is the last choice.
How to find the x intersept
Answers
For problem 22, the x intercept is the point (-4,0) as this is where the S shaped curve crosses through the horizontal x axis. See the attached diagram for a visual of what I'm talking about. Note the highlighted point in red.
What is the answer? (Tip- to undo multiply both sides by 4/7)
x|4/7 = 28
Answers
x / |4/7| = 28
Multiply by |4/7|
x = |4/7| x 28
Ignore the absolute for a second and note 4/7 x 28 is 16 because...
28 / 7 = 4
4 x 4 = 16
x = |16|
The local theater has three types of seats for broadway plays: main floor, balcony, and mezzanine. main floor tickets are $59, balcony tickets are $50, and mezzanine tickets are $40. one particular night, sales totaled $73,785. there were 435 more main floor tickets sold than balcony and mezzanine tickets combined. the number of balcony tickets sold is 78 more than 33 times the number of mezzanine tickets sold. how many of each type of ticket were sold?
Answers
Final answer:
10 mezzanine tickets, 408 balcony tickets, and 853 main floor tickets were sold.
Explanation:
Let's solve this problem step-by-step to find out how many of each type of ticket were sold:
Let's assume that the number of mezzanine tickets sold is x. Therefore, the number of balcony tickets sold is 33x + 78 (since it is 78 more than 33 times the number of mezzanine tickets sold).
The number of main floor tickets sold is 435 + (33x + 78) + x = 435 + 34x + 78 = 34x + 513 (since there were 435 more main floor tickets sold than balcony and mezzanine tickets combined).
The total sales amount is $73,785.
Now, we can set up an equation to solve for x:
$40x + $50(33x + 78) + $59(34x + 513) = $73,785
Simplifying the equation:
40x + 1650x + 3900 + 59(34x + 513) = 73785
40x + 1650x + 3900 + 2006x + 30567 = 73785
3696x + 34467 = 73785
3696x = 39318
x = 39318/3696
x = 10.65
Since we can't have a fraction of a ticket, we can round down to the nearest whole number. So, x = 10.
Therefore, 10 mezzanine tickets were sold, 33x + 78 = 408 balcony tickets were sold, and 34x + 513 = 853 main floor tickets were sold.
What number is 7 units to the left of -1?
Answers
-1 - 7 = -8
answer
- 8
-1 - 7 = -8
A carpenter trims a triangular peak of a house with three 7-ft pieces of molding. The carpenter uses 21 ft of molding to trim a second triangular peak. Are the two triangles formed congruent? Explain.
Answers
The two triangles formed by trimming the peaks of the house with the 7-ft pieces of molding are congruent.
Explanation:To determine if the two triangles formed by trimming the peaks of the house with the 7-ft pieces of molding are congruent, we can use the concept of the Side-Angle-Side (SAS) congruence criterion.
In the first case, the carpenter uses three 7-ft pieces of molding to trim the first triangular peak. This means that each side of the triangle is 7 feet long.
In the second case, the carpenter uses 21 ft of molding to trim the second triangular peak. Since the total length of molding used is 21 ft, we know that each side of the triangle is still 7 feet long.
So, in both cases, the triangles are formed by sides of the same length, which is 7 feet, and they have a common angle at the peak of the house.
This satisfies the SAS congruence criterion, which states that if two triangles have two sides of equal length and the included angle is the same, then the triangles are congruent.
Therefore, the two triangles formed by trimming the peaks of the house with the 7-ft pieces of molding are congruent.
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Conditional probabilities are based on some event occurring given that something else has already occurred?
Answers
The answer is true. A conditional probability is a measure of the probability of an event given that (by assumption, presumption, assertion or evidence) another event has occurred. If the event of interest is A and the event B is known or assumed to have occurred, "the conditional probability of A given B", or "the probability of A in the condition B", is usually written as P (A|B). The conditional probability of A given B is well-defined as the quotient of the probability of the joint of events A and B, and the probability of B.
Convert this percent into decimal form.
Answers
Then move the decimal place two places to the left to divide by 100 (percent means per 100),
Final answer: 0.1225
Cost to rent a bicycle is $5 plus $3 per hour for x hours what equation represents the total cost for c hours
Answers
Hope I helped :)
Find PS if ABC=PQR, AD is an altitude of ABC, PS is an altitude of PQR, AD=12, AC=16 and PR=10
a. 7.5
b. 19.2
c. 4.62
d. 19.5
Answers
First you need to find how they're similar.
16/10 = 1.6
Then, multiply 12 (AD) by 1.6 to find PS.
12 * 1.6 = 19.2
The answer is B. 19.2
The sum of twice a number and a larger number is 145. The difference between the numbers is 55. Let x represent the smaller number and y represent the larger number. Which equations represent the situation? Check all that apply.
A. x-y=55
B. 2(x+y)=145
C. 2x+y=145
D. y-x=55
E. y=x+55
Answers
A does not, because x is actually 55 smaller than y, which is why both D and E work.
B does not because it's doubling the sum of x = y, but the description says to double x and then add y (which is why C works).
y>x
sum (addition) of twice a number (2x) and larger number (y) is (=) 145
2x+y=145
difference between them is 55 (y is bigger so it would be x is subtracted from y)
y-x=55
so the equations are
2x+y=145 and
y-x=55
we could add x to both sides in the 2nd equation to obtain
y=x+55, but that doesn't really represent that the difference is 55, though they are the same euation
so I would say C and D only
Michelle found a new violin on sale at 30% off. how much would she pay the cashier if it originally sells for $250 in a city that had no sales tax
Answers
100%-30% = 70%
70%=0.70
250*0.70 = 175
she would pay $175
The best approximation for the square root of 10 is.. A).5 B).100 C).3.1 D).25
Answers
Answer:
It is approximately 3.1
Step-by-step explanation: