= Ratio of minutes to miles in which Samuel drove = 28 : 32
= Ratio of minutes to miles in which Beverly drove = 42 : 48
To find whether the time they drove and the distance they covered were proportional or not , let us first change them into a fraction and then simplify them .
= 28 : 32 = 28/32
= 28/32
Both the numerator and the denominator is divisible by 4 .
= 28 ÷ 4 / 32 ÷ 4
= 7/8 = 7 : 8
Samuel = 7 : 8
Beverly = 42 : 48 = 42/48
= 42/48
Both the numerator and the denominator is divisible by 6 .
= 42 ÷ 6 / 48 ÷ 6
= 7/8
Therefore, the ratio of miles to minutes drove by Samuel and Beverly is proportional , 7:8 :: 7:8
Answer:
7:8 7:8
Step-by-step explanation:
if you subtract 28 from 42 and subtract 32 from 48 then you get 14-16. then double it and you get 28-32 then add 14-16 to those again and you get 42-48. because they add up and are equal, take 14-16 and simplify it to 7:8.
Suppose each stock in Andre’s portfolio has a correlation coefficient of 0.40 (rho = 0.40) with each of the other stocks. The market’s average standard deviation is approximately 20%, and the weighted average of the risk of the individual securities in the partially diversified four-stock portfolio is 39%. If 40 additional, randomly selected stocks with a correlation coefficient of 0.30 with the other stocks in the portfolio were added to the portfolio, what effect would this have on the portfolio’s standard deviation?
Answer:
Explained below.
Step-by-step explanation:
The correlation coefficient for the portfolio with each of the other stocks is 0.40.
This correlation coefficient is less than 1. This implies that the portfolio’s assets are weakly correlated with each other.
The portfolio profits from modification. Randomly selected stocks are added to the portfolio.
The correlation coefficient of these stocks with the other stocks in the portfolio is about 0.30.
Therefore adding these randomly selected stocks will decrease the portfolio’s standard deviation.
Company-specific risk in portfolio can be reduced by this diversification but systematic or market risk can’t be eliminated. Thus the risk will (σ) decrease slowly until σp reaches to the average standard deviation of returns on the market i.e. about 20 %.
Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Write an algebraic equation can be used to determine the number of DVDs in Daniel's collection. Use x as your variable.
4x=67 is the equation can be used to determine the number of DVDs in Daniel's collection.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Together, Matthew and Daniel have 67 DVDs.
M+D=67
Let x represents the number of DVDs
Matthew's collection has 3 times as many DVDs as Daniel's collection.
M=3D
Now M=D=x
As Matthew and Daniel have 67 DVDs.
3x+x=67
4x=67
Hence, 4x=67 is the equation can be used to determine the number of DVDs in Daniel's collection.
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what is the inverse of f(x)? show the work
f(x)+3x+5
Answer:
[tex]f^-^1(x)=\frac{1}{3}x-\frac{5}{3}[/tex]
Step-by-step explanation:
To solve for the inverse, we need to switch the variables and solve for y.
Note that f(x) is the same as y or in other words, the output.
f(x) = 3x + 5
y = 3x + 5
~Switch variables
x = 3y + 5
~Subtract 5 to both sides
x - 5 = 3y
~Divide 3 to everything
1/3x - 5/3 = y
~Flip
y = 1/3x - 5/3
Best of Luck!
Jackson was solving the problem below for k. However, he made a mistake.
19 - 2k = 3k - 1
+3k +3k
19 +1k = -1
-19 -19
k = -20
Part A: Identify the FIRST mistake Jackson made.
Part B: Solve for k.
A. It has point symmetry.
B. It has rotational symmetry with an angle of rotation of 120°.
C. It has reflectional symmetry with five lines of symmetry.
D. It has no rotational symmetry.
HELP WILL MARK BRAINLIEST.
Answer: C. It has reflectional symmetry with five lines of symmetry.
The five lines of symmetry are shown in the diagram below. Each line splits a flower petal in half. Each line also splits the entire flower in half. In other words, reflecting one half of a flower over any given line of symmetry, generates the other half of the flower.
The correct answer is C. The given figure has reflectional symmetry with five lines of symmetry.
Symmetry refers to the property of an object remaining unchanged when certain transformations are applied to it.
A. Point symmetry, also known as rotational symmetry, means that the object looks the same when rotated by a certain angle around a central point. However, a given figure does not have point symmetry since it does not look the same when rotated by any angle around a central point.
B. The statement that the flower has rotational symmetry with an angle of rotation of 120° is incorrect because, as mentioned above, it does not possess rotational symmetry.
C. The flower does have reflectional symmetry with five lines of symmetry. This means that the flower can be divided into five equal parts using five lines of reflectional symmetry, such that each part is a mirror image of the other.
D. The statement that the flower has no rotational symmetry is correct, as mentioned in A and B.
Therefore, the correct answer is C. It has reflectional symmetry with five lines of symmetry.
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the figure below is a rhombus y = ?
Answer:
y = 28°
Step-by-step explanation:
The opposite angles of a rhombus are congruent.
The diagonal divides the rhombus into 2 isosceles triangles, as all sides are congruent.
Thus the triangle containing base angles y and w has vertex = 124°
Since the triangle is isosceles then the base angles are congruent , thus
y = [tex]\frac{180-124}{2}[/tex] = [tex]\frac{56}{2}[/tex] = 28°
$20 is 2% of what #?
Answer:
1000$
Step-by-step explanation:
2%=20
1%=20/2=10
100%=10×100=1000
3) Consider the following linear equations:
y = x - 4 and -8y = 8x - 32
What are the intercepts of the line y=x-4 ?
x-value of x-intercept _____
y- value of y-intercept _____
that are also equivalent to 0.5 + 10b + 4 = 19.5
A.106 +4= 19.5
B.10b + 4 = 19
C.2 (0.5 + 106 + 4) = 39
D.10b 19.5
E.10b = 15
Answer:
a⋅0.5+10b+4=19.5=a=−20b+31 ♀️I think that's the way I'm not sure!
Please help the picture is above. I’ll mark as brainliest.
Answer:
s= 2000n + 55000
comparing with y= mx +c
The slope of given line is 2000 which represents that the salary of camden increases at the rate of 2000 per year .
Step-by-step explanation:
Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself? 3r = 3 r equals StartFraction 3 Over 8 EndFraction. 3r + 3 r plus StartFraction 3 Over 8 EndFraction equals 1. = 1 r + StartFraction 1 Over 3 EndFraction r plus StartFraction 3 Over 8 EndFraction r equals 1.R = 1 r + StartFraction 1 Over 3 EndFraction r plus StartFraction 1 Over 8 EndFraction r equals 1.R = 1
Answer:
3r + 3/8 = 1
r = 5/24
Step-by-step explanation:
Working together, sam and charlie can change all the light bulbs in the office building in 3 hours. it would have taken charlie 8 hours to do the job alone.which equation can be used to solve for the rate, r, for sam to change all the light bulbs in the office building by himself?
For the rate, r, for sam to change all the light bulbs in the office building by himself?
One job is involved
3r + 3/8 = 1
3r = 1 - 3/8
r = 1/3 - 3/8÷3
= 1/3 - 3/8 × 1/3
= 1/3 - 1/8
r = 1/3 - 1/8
r= 8-3/24
r = 5/24
B got it right on edge 2020
d + 12 = 14 - 2d
Find d
Answer:
d = 2/3
Step-by-step explanation:
Answer:
I believe d=0.6666667 or 2/3
Step-by-step explanation:
d=2-2d
3d=2
d=0.66
Select all of the angles that have the same measure as angle 1. Assume the lines are parallel.
∠7
can't be determined
∠3
∠2
∠5
∠6
∠8
∠4
Answer:
3, 8, 6
Step-by-step explanation:
Please correct me if I am wrong!
The angles that have the same measure as angle 1 are ∠3, ∠6 and ∠8.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
A traversal line cuts two parallel lines.
So, ∠1 = ∠6. {From the property of opposite angles}.
And ∠1 = ∠3. {From the property of alternate interior angles}.
The property of opposite angles,
∠8 = ∠3.
So, the angle measures that are equal to ∠1 are:
∠3, ∠6 and ∠8.
Therefore, ∠3, ∠6 and ∠8 are the equal angle measures.
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Write a line that is parallel to y = -3x -4
Answer:
A parallel line to "y = -3x -4"
Is
"y = -3x"
Step-by-step explanation:
Ryan says that the sum of any two numbers is rational. Which of the following is a counterexample?
O 2 + 2 = 4
O 10 + 0.998987... = 10.998987...
0 +=1
5 +2.7 7.7
Answer: 10 + 0.998987... = 10.998987
Step-by-step explanation:
I just took the test today and this was the answer.
what is the value of 6x (power of 2) when x=1.5
convert 4 5/6 into a decimal
Answer:
4.8333
Step-by-step explanation:
It is a repeating decimal. Hope it helps
The decimal form of the given fraction is 4.8333
What is decimal form?Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.
Given that, convert 4 5/6 into a decimal,
The given mixed fraction is =
4 5/6
Converting into fraction,
29 / 6
Dividing 29 by 6, we get,
29 / 6 = 4.833
Hence, the decimal form of the given fraction is 4.8333
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I don't get this Please help asap!?
Answer:
Step-by-step explanation:
I think it’s 6
Answer:
it's 6 inches
Step-by-step explanation:
I measured it
Please help me find
Answer:
150 feet
Step-by-step explanation:
the ratio of her shadow to her height
2/5=60/150
60/150=2/5
i hope it is right
Answer:
The answer is C) 150 feet
Is rigth
Step-by-step explanation:
2/5=60/150
2/5= 0.4
60/150=0.4
It takes 4 people 10 hours to plaster a section of a building. How long will it take 8 people to
do the same job working at the same rate?
Answer:
5 hours
Step-by-step explanation:
Answer:
5 hours because you have double the people which means it would take half the time :)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Sam decides to download some new music. She downloaded 3 albums and 10
singles, and her total was $61. The next day she purchased more music from the
same retailer and downloaded 6 more albums and 8 singles for a total of $74.
Assuming that all albums and singles are the same price, how much did she spend on
each album and each single? Write a system of equations to represent this
situation. Then solve for the solution using the elimination method.
Answer:
An album costs $7 while a single cost $4
Step-by-step explanation:
Let the amount spent on singles be $x while the amount spent on albums be $y
First day, she downloaded 3 albums and 10 singles that cost $61
Hence;
3y + 10x = 61 ••••••••(ii)
Second day, she downloaded 6 albums and 8 singles for $74
8x + 6y = 74 ••••••••(ii)
We now want to use elimination method to solve both equations
Multiply equation i by 2 and ii by i
20x + 6y = 122
8x + 6y = 74
Subtract ii from i now
12x = 48
x = 48/12
x = 4
Recall;
3y + 10x = 61
substitute for x
3y + 10(4) = 61
3y + 40 = 61
3y = 61-40
3y = 21
y = 21/3
y = 7
An album costs $7 while a single cost $4
Graph the line with slope of 53
5/3 and goes through the point (2,1).
Answer:
We kindly invite you to see the image attached for further details.
Step-by-step explanation:
From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:
[tex]y =m\cdot x +b[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):
[tex]b = y-m\cdot x[/tex]
If we know that [tex]y = 1[/tex], [tex]x = 2[/tex] and [tex]m = \frac{5}{3}[/tex], then the y-Intercept of the linear function is:
[tex]b = 1-\left(\frac{5}{3} \right)\cdot (2)[/tex]
[tex]b = -\frac{7}{3}[/tex]
Line with a slope of [tex]\frac{5}{3}[/tex] that goes through the point (2, 1) is represented by [tex]y = \frac{5}{3}\cdot x -\frac{7}{3}[/tex].
Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.
Solve the inequality:
4x−2≤6
Select one:
x≥1
x≤2
x≥2
x≤1
Answer:
x≤2Step-by-step explanation:
To do this, first add over the 2. That makes 4x≤8. Then divide by 4. That make x≤2
Answer:
x≤2
Step-by-step explanation:
4x-2≤6 add to 2 to both sides
4x≤8 divide both sides by four
x≤2
Hope this helps! :)
What is the slope of the line represented by the following equation?
y= 1/3x + - 2/3
A) -1/3
B)-2/3
C)1/3
D)2/3
−914+27. Write your answer as a fraction in simplest form
Answer:
2 goes into 94 whole times with 1 leftover, what does this mean?
Step-by-step explanation:
you turn 27 and 914 into fractions and add, then you simplify and well you know the answer.....right .....
What is the slope of the line that passes through the points (5.3) and (-4,-1)
Answer:
y = 4/9x + 1
Step-by-step explanation:
Write the equation of the line that passes
through the point (-6, 5) and has a slope of 2/3
in point-slope form.
Answer:
y-5=2/3(x+6)
Step-by-step explanation:
Why is brainliest so important and why is leveling up so important
Answer:
Its is so u get points make me he brainlst thx
Step-by-step explanation:
what is 5x × 12y - 8xy
Answer:
52xy is the answear. Hope it helps
Step-by-step explanation:
Answer:
it's going to be 52xy.
if any of you have the same, then that's fine.
A certain middle school opens at 7 A.M., and classes begin at 8 A.M. A sociologist gathered data on the number of minutes after 7 A.M. that a student arrives at school and the number of friends the student has on social media. The correlation between the two variables indicated a strong negative relationship. Which of the following is an appropriate interpretation of the correlation?
Answer:
As the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.
Step-by-step explanation:
Correlation does not imply causation. Also, the negative relationship indicates that as the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.