Answers
Answer:
Data set A best fit by the regression line.
Answer:
Data Set C.
Step-by-step explanation:
Well just even by common sense, the line for "data set A" is not good for the points on the graph
Related Questions
The people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. The results of the survey are shown in the table. A 2-column table has 4 rows. The first column is labeled Eye Color with entries brown, green, blue, hazel. The second column is labeled Number of People with entries 20, 6, 17, 7. What is the probability that a person chosen at random from this group has brown or green eyes? StartFraction 3 Over 25 EndFraction StartFraction 7 Over 25 EndFraction StartFraction 13 Over 25 EndFraction StartFraction 17 Over 25 EndFraction
Answers
Answer:
13/25
Step-by-step explanation:
The total number of people is 20 + 6 + 17 + 7 = 50.
Of these, the number that have brown or green eyes is 20 + 6 = 26.
So the probability is 26/50, which reduces to 13/25.
The probability that a person chosen at random from this group has brown or green eyes is; 13/25
How to find the probability?From the given data values, we can deduce that;
Total number of people = 20 + 6 + 17 + 7 = 50.
Now, the total number of people that have brown or green eyes is;
Total(brown or green eyes) = 20 + 6 = 26.
Thus, the probability that a person chosen at random from this group has brown or green eyes is;
P(brown or green eyes) = 26/50 = 13/25.
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An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 634" by 412" on the drawing, how large is the bedroom?
Answers
and the answer should be 18 x 27. The answers were reversed.
Step-by-step explanation:
basically you can do (6x4) + 3 = 27
and (4x4) + 2 = 18.
A ratio shows us the number of times a number contains another number. The real size of the bedroom is 2536' by 1648'.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that architectural drawing lists the scale as 1/4" = 1'. Therefore, we can write the scale ratio as,
1/4" = 1'
1" = 4'
Now, given that the bedroom measures 634" by 412" on the drawing. Therefore, the real dimensions of the bedroom are,
634" = 634 × 4' = 2536'
412" = 412× 4' = 1648'
Hence, the real size of the bedroom is 2536' by 1648'.
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please Evaluate 27 times ( 1/3) to the 3 power. A). 1 B). 3 C). 9 D). 27
Answers
Answer:
you want to follow PEMDAS so you would multiply 27 by 1/3 to get 81.003, which you would round to 81, then you would multiply 8 to the third power and you would get 512.
Step-by-step explanation:
27(1/3)^3
81^3
512
which of the sequences is an arithmetic sequence
Answers
Answer:
it is C.
Step-by-step explanation:
The common difference is -7
-27 -(-20)= -27 + 20 = -7
-34 -(-27)= -34 + 27 = -7
-41 -(-34)= -41 + 34 = -7
-48 -(-41)= -48 + 41 = -7
plz tell me this solution
Answers
Answer:
A. x = 36
B. x = 10
C. x = 36
D. x = 25
E. x = 60
Step-by-step explanation:
A. Since it is a straight line, the total degrees will be 180. Add the two angle values and set them equal to 180.
2x + 3x = 180
5x = 180
x = 36
B. This is right angle, meaning that the total degrees will be 90. Add the two angle values and set them equal to 90.
4x + 5x = 90
9x = 90
x = 10
C. The angles are around a point, meaning that the total degrees will be 360. Add the angle values and set them equal to 360.
x + 2x + 3x + 4x = 360
10x = 360
x = 36
D. Like part A, the straight line has 180 total degrees. Add the angle values and set them equal to 180.
3x - 5 + x + 20 + 65 = 180
4x - 5 + 20 + 65 = 180
4x + 80 = 180
(4x + 80) - 80 = 180 - 80
4x = 100
(4x)/4 = 100/4
x = 25
E. Like part A, the angles around the point have 360 total degrees. Add the angles values and set them equal to 360.
x + 2x + 2x + 60 = 360
5x + 60 = 360
(5x + 60) - 60 = 360 - 60
5x = 300
(5x)/5 = 300/5
x = 60
Answer:
a = 36°
b = 20°
c = 36°
d = 25°
e = 60°
Step-by-step explanation:
A)
2x + 3x = 180° (angles on a straight line = 180°)
5x = 180°
X = 180 / 5
x = 36°
B) 4x + 5x = 90° (sum of two acute angles in a right angle triangle = 90°)
9x = 90
x = 90 / 9
x = 10°
C) 2x + x + 4x + 3x = 360° (sum of angles at a point = 360°)
10x = 360°
x = 360 / 10
x = 36°
D) (3x - 5) + (x + 20) + 65 = 180 (sum of angles on a straight line = 180)
Open brackets
3x - 5 + x + 20 + 65 = 180
4x + 80 = 180
Collect like terms
4x = 180 - 80
4x = 100
X = 100 / 4
x = 25°
E)
x° + 60° + 2x° + 2x° = 360° (angle at a point = 360°)
5x° + 60° = 360°
Collect like terms
5x° = 360° - 60°
5x° = 300°
x = 300 / 5
x = 60°
Instructions: Find the measure of the indicated angle to the
nearest degree
Answers
Answer:
? = 57
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos ? = adj/ hyp
cos ? = 14/26
Taking the inverse cos of each side
cos ^-1 ( cos ?) = cos ^-1 ( 14/26)
? = 57.42102961
To the nearest degree
? = 57
If the measure of ∠1 is 50°, what is the measure of ∠8?
Answers
Hey there! :)
Answer:
Measure of ∠8 is 130°.
Step-by-step explanation:
We can solve for ∠8 in multiple steps:
∠1 = 50°
∠5 = 50° due to corresponding angles being equivalent
180° - m∠5 = m∠8 due to supplementary angles
180° - 50° = m∠8 = 130°
Therefore, the measure of ∠8 is 130°.
Answer: The measure of angle 8 is 130 degrees.
Step-by-step explanation:
Angle 8 and angle 4 has the same measures. The same way angle 1 and angle 5 also have the same measures.So we know that angle 1 is 50 degrees so angle 5 is also 50 degrees. Angle 5 and 8 lies on a straight line.And straight lines have a measure of 180 degrees.So we know that angle 5 is 50 degrees so what angle measure will 50 degrees add up to get 180 degrees.
Use the equation
50 + x =180 solve for x
-50 -50
x = 130
This means angle 8 is 130 degrees .
How many Real solutions
Answers
Answer:
A. 2 real roots: (2, 7) and (1, 4).
Step-by-step explanation:
y = x^2 + 3
y = 3x + 1
So equating the right sides:
x^2 + 3 = 3x + 1
x^2 - 3x + 2 = 0
(x - 2)(x - 1) = 0
So there are 2 roots.
They are x = 2 , y = 3(2) + 1 = 7 and
x = 1, y = 3(1) +1 = 4.
The length and width of a rectangle are in a 3:5 ratio. The perimeter of the rectangle is 64. What are the length and width of the rectangle? The length is? And the width is?
Answers
Hey there! I'm happy to help!
We know that the perimeter is 2L+2W. Le'ts plug in the values 3 and 5 from our ratio and see what our perimeter would be with that.
2(3)+2(5)
6+10
16
How can we get this 16 to 64?
64/16=4
So, we need to multiply this length and width by four to get 64 as our perimeter!
3*4=12
5*4=20
We can plug this into our perimeter equation
2(12)+2(20)
24+40
64
Therefore, our length is 12 and our width is 20.
Have a wonderful day! :D
A traffic officer is compiling information about the relationship between the hour or the day and the speed over the limit at which the motorist is ticketed. He computes a correlation coefficient of 0.12. What does this tell the officer?
Answers
Answer:
The correlation between hour of the day and the speed over the limit at which the motorist is ticketed is weak positive correlation.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
The types of correlation coefficient are:
+1 (-1) : Perfect positive (negative) correlation0 to 0.30(-0.30) : Weak positive (negative) correlation0.30(-0.30) to 0.70(-0.70) : Moderate positive (negative) correlation0.70(-0.70) to 1 (-1) : Strong positive (negative) correlationThe correlation coefficient value between the hour of the day and the speed over the limit at which the motorist is ticketed is:
r = 0.12.
The value of r lies between:
0 < 0.12 < 0.30
Thus, the correlation between hour of the day and the speed over the limit at which the motorist is ticketed is weak positive correlation.
can anyone help me solve this function?
Answers
Answer:
5x +3
Step-by-step explanation:
f(x) = 2x-6
g(x) = 3x+9
(f+g) (x) = 2x-6+ 3x+9
Combine like terms
= 5x +3
We are given the following two equations:
[tex]f(x)=2x-6[/tex]
[tex]g(x)=3x+9[/tex]
To find (f+g)(x), we just add f(x) and g(x) and simplify:
[tex](f+g)(x)=f(x)+g(x)[/tex]
[tex]=2x-6+3x+9[/tex]
[tex]=5x+3[/tex]
Let me know if you need any clarifications, thanks!
On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2). Which statement best explains the relationship between lines FG and HJ? They are perpendicular because their slopes are equal. They are perpendicular because their slopes are negative reciprocals. They are not perpendicular because their slopes are equal. They are not perpendicular because their slopes are not negative reciprocals.
Answers
Answer:
They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
Well first we need to find slope.
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Line HJ)
(-4,-2) , (0,4)
y2 is 4 y1 is -2, so 4 - -2 = 6
0 - -4 = 4
6/4 -> 3/2
Due to the point (0,4) having no x value 4 is the y intercept.
Hence, y = 3/2x + 4 is the slope of line HJ
Line FG)
(-4,1) , (0,-2)
y2 is -2 y1 is 1, so -2 - 1 = -3
0- -4 = 4
Because (0,-2) is missing an x value -2 is the y intercept,
Equation: y = -3/4x - 2
They are not perpendicular because their slopes are not negative reciprocals.
The slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).
Recall:
Lines that are parallel will have the same slope.Lines that are perpendicular to each other will have slope values that are negative reciprocal of each other.Slope (m) = [tex]\frac{y_2- y_1}{x_2 - x_1}[/tex]Given that lines HJ (blue line) and FG (red line) are on a coordinate plane as shown in the diagram attached below, let's find their slope:
Slope of line HJ:
[tex]Slope (m) = \frac{-2 - 4}{-4 -0} = \frac{-6}{-4} = \frac{3}{2}[/tex]
Slope of HJ is 3/2Slope of line FG:
[tex]Slope (m) = \frac{-2 - 1}{0-(-4)} = \frac{-3}{4} = -\frac{3}{4}[/tex]
Slope of FG is -3/4Therefore, the slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).
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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
h(x) = -15.6(x - 3.8)² + 241
Step-by-step explanation:
if you were to graph these equations, you can see that the second equation has a lower maximum than the rest of equations, including the original. therefore, that answer can be eliminated.
or simply recognize the equation is in vertex form and realize that 222 is the y-value of the vertex. and 222 < 230. (230 being the y-value of the parent function's vertex)
the a-value (-15.9 for the parent/original function) of the new equation must be less than the parent function's a-value. this is the rate at which the pumpkin is decreasing. the lower the value, the slower the pumpkin moves. this is an advantage, as the length it travels increases. therefore, the third and fourth options are eliminated, leaving the first option as the answer.
Answers
Answer:
????
Step-by-step explanation:
Where is the question????
help me!!!! solve 4t+6=24
Answers
Answer:
We move all terms to the left:
4t+6-(-24)=0
We add all the numbers together, and all the variables
4t+30=0
We move all terms containing t to the left, all other terms to the right
4t=-30
t=-30/4
t=4.5
Brainiest?
Answer:
[tex]\boxed{t=\frac{9}{2} }[/tex]
Step-by-step explanation:
[tex]4t+6=24[/tex]
Subtract 6 on both sides.
[tex]4t+6-6=24-6[/tex]
[tex]4t=18[/tex]
Divide 4 on both sides.
[tex]\displaystyle \frac{4t}{4} =\frac{18}{4}[/tex]
[tex]\displaystyle t=\frac{9}{2}[/tex]
Find all solutions of the equation in the interval [0, 2pi).
2 cos 0 - 13 = 0
Write your answer in radians in terms of t.
If there is more than one solution, separate them with commas.
Answers
Answer:
The solutions of 2·cos(θ) - √3 = 0in the interval [0, 2pi) are;
π/6, 13/6·π
Step-by-step explanation:
The given that the equation is 2·cos(θ) - √3 = 0
The solution of the above equation in the interval [0, 2pi) are required
Therefore, the domain includes 0 ≤ θ < 2pi
2·cos(θ) - √3 = 0
2·cos(θ) = √3
cos(θ) = √3/2
Therefore;
θ = cos⁻¹(√3/2)
The values are;
[tex]\theta =\dfrac{12 \cdot \pi \cdot n_1 +\pi }{6} \, or \, \theta =-\dfrac{12 \cdot \pi \cdot n_1 +\pi }{6}[/tex]
Where the domain is 0 ≤ θ < 2pi, we have;
π/6, 13/6·π
Brad walked a total of 24 kilometers by making 6 trips to school. After 21 trips to school, how many kilometers will Brad have walked in total? Solve using unit rates.
Answers
Answer:
84 km... Mark me as BRAINLIEST
Step-by-step explanation:
Refer to the pic...
Hope it helped you!
Step-by-step explanation:
Since it takes 6 trips to cover 24 km -
1 trip = 24/6
Therefore 1 trip is -
4 km
Now, the distance for 21 trips is -
21*4 = 84
Therefore, Brad has walked -
84 km
HOPE YOU FIND THIS HELPFUL
If some of the omitted variables, which you hope to capture in the changes analysis, in fact change over time within entity, then the FE estimator a. will be unbiased only when allowing for heteroskedastic-robust standard errors. b. may still be biased. c. will only be unbiased in large samples. d. will always be unbiased.
Answers
Answer:
d. will always be unbiased.
Step-by-step explanation:
When some of variables are omitted the estimator on indulge charge regressor may still be unbiased. If there is a special case where T = 2 then the FE estimator will be unbiased. Fixed effect regression model has different intercepts.
Solve for $x$, where $x > 0$ and $0 = -21x^2 - 11x + 40.$ Express your answer as a simplified common fraction.[tex]Solve for $x$, where $x \ \textgreater \ 0$ and $0 = -21x^2 - 11x + 40.$ Express your answer as a simplified common fraction.[/tex]
Answers
Answer:
[tex]\large \boxed{\sf \ \ \dfrac{8}{7} \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
The solutions are, for a positive discriminant:
[tex]\dfrac{-b\pm\sqrt{\Delta}}{2a} \ \text{ where } \Delta=b^2-4ac[/tex]
Here, we have a = -21, b = -11, c = 40, so it gives:
[tex]\Delta =b^2-4ac=11^2+4*21*40=121+3360=3481=59^2[/tex]
So, we have two solutions:
[tex]x_1=\dfrac{11-59}{-42}=\dfrac{48}{42}=\dfrac{6*8}{6*7}=\dfrac{8}{7} \\\\x_2=\dfrac{11+59}{-42}=\dfrac{70}{-42}=-\dfrac{14*5}{14*3}=-\dfrac{5}{3}[/tex]
We only want x > 0 so the solution is
[tex]\dfrac{8}{7}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
If a equals 15, then what number does 2a - 5 equal?
Answers
Answer:
25
Step-by-step explanation:
a=15
2(15)-5=25
30-5=25
Answer:
25
Step-by-step explanation:
The problem substituting a for 15 would be 2(15)-5
2*15 is 30, then -5 is 25.
3x + 45 = 4x + 21
Solve for 'x'.
Answers
Answer:
Step-by-step explanation:
3x + 45 = 4x + 21
45 - 21 = 4x - 3x
24 = x
Answer:
x=24Step-by-step explanation:
[tex]3x + 45 = 4x + 21 \\ collect \: like \: terms \\ 3x - 4x = 21 - 45 \\ - x = - 24[/tex]
[tex]x = 24[/tex]
Which of the graphs above is the graph of the equation below? Y=x^3-6x^2+11x-6=(x-3)(x-2)(x-1)
Answers
Answer:
answer Z
Step-by-step explanation:
Look for a graph that contains the following zeros: x = 1, x = 2 , x= 3, following the info derived by the binomial factors that the function contains. Also look ate the fact that the function in question has for leading term positive [tex]x^3[/tex] , then this function must go towards plus infinity when x becomes large. This is the case for the graph option Z (the last graph of the group)
Which expression represents a factorization of 32m + 56mp?
A. 8(4m +7p)
B. 8(4 + 7)mp
C. 8p(4 + 7m)
D. 8m(4 + 7p)
Answers
Answer:
The answer is option D
Step-by-step explanation:
32m + 56mp
First factor out the HCF out
The HCF of 32and 56 is 8
So we have
8 ( 4m + 7mp)
next factor m out
We have the final answer as
8m( 4 + 7p)Hope this helps you
Rewrite the expression in exponential form.
Answers
Answer:
[tex]a^{\frac{1}{3} }[/tex]
Step-by-step explanation:
Apply rule: [tex]\displaystyle \sqrt[n]{x} =x^{\frac{1}{n}[/tex]
[tex]\sqrt[3]{a} =a^{\frac{1}{3} }[/tex]
What is the circumference of a circle with a diameter of 100m. A 100m B 157m C 300 m D 314m
Answers
Answer:
C = 314 m
Step-by-step explanation:
The circumference of a circle is given by
C = pi * d
Using 3.14 for pi
C = 3.14 * 100
C = 314 m
Answer:
The answer is option D.
314mStep-by-step explanation:
Circumference of a circle = πd
Where d is the diameter
From the question
d = 100m
Circumference of the circle is
100π
= 314.2
Which is 314m to the nearest whole number
Hope this helps you
(07.02 MC)
An equation is shown below:
3(4x - 2) = 1
Which of the following correctly shows the steps to solve this equation?
Step 1: 12x - 2 = 1; Step 2: 12x = 3
Step 1: 12x - 6 = 1; Step 2: 12x = 7
Step 1: 7x + 1 = 1; Step 2: 7x = 0
Step 1: 7x - 5 = 1; Step 2: 7x = 6
Answers
Step 1: 12x - 6=1; Step 2: 12x = 7
Represent the system of linear equations 3x+y-5=0 and 2x-y-5=0 graphically. From the graph write solution of the system and also the area of the triangle formed by the lines and y axis
Answers
Answer:
The solution is (2, -1)The area of the triangle formed is 10 square units.Step-by-step explanation:
The given system is
[tex]3x+y-5=0\\2x-y-5=0[/tex]
First, you need to graph both lines. To do so, you just need to find the interceptions with both axis.
[tex]3x+y-5=0[/tex]
For [tex]x=0 \implies y=5[/tex]
For [tex]y=0 \implies x=\frac{5}{3}[/tex]
Then, you draw both points to have the straight line.
Repeat the process for the second line. The image attached shows both lines.
Remember, the solution of a linear system of equation is the common point between lines. In this case, we can observe that the solution is (2, -1).
On the other hand, to find the area of the triangle formed, we need to use the length of its base and its height.
Its base is 10 units long.Its height is 2 units long.Now, we use the area formula for triangles
[tex]A=\frac{bh}{2}=\frac{10(2)}{2}= 10 \ u^{2}[/tex]
Therefore, the area of the triangle formed is 10 square units.
WILL MARK BRAINLIEST!! PLZ HELP!!
Answers
Answer:
The answer is D.
Step-by-step explanation:
When x=0, then y=300, so it has to be more than that.
When x=25, y=300, so it has to be less than that.
Please answer this now in two minutes
Answers
Answer:
[tex] s = 14.1 [/tex]
Step-by-step explanation:
Find s using the Law of Cosines:
m < S = 31°
SR = q = 21
SQ = r = 9
QR = s = ?
Thus,
[tex] s^2 = r^2 + q^2 - 2(r)(q)*cos(S) [/tex]
[tex] s^2 = 9^2 + 21^2 - 2(9)(21)cos(31) [/tex]
[tex] s^2 = 81 + 441 - 378*0.8572 [/tex]
[tex] s^2 = 522 - 324.0216 [/tex]
[tex] s^2 = 197.9784 [/tex]
[tex] s = \sqrt{197.9784} [/tex]
[tex] s = 14.07 [/tex]
[tex] s = 14.1 [/tex] (to the nearest tenth)
i attached the question in the image below
Answers
Answer:
45°
Step-by-step explanation:
[tex]tan^{-1}(1)[/tex] = 45°
Answer:
[tex]\huge\boxed{\theta=45^o\ \vee\ \theta=225^o}[/tex]
Step-by-step explanation:
[tex]\tan\theta=1[/tex]
[tex]\bold{METHOD\ 1}\\\\\text{Use the table in the attachment}\\\\\tan45^o=1\to\theta=45^o\ \vee\ \theta=45^o+180^o=225^o\\\\\bold{METHOD\ 2}\\\\\tan\theta=1\to\tan^{-1}1=\theta\to\theta=45^o\ \vee\ \theta=225^o[/tex]