Answer:
1) He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
2) He did not multiply the numerator and denominator by the correct number to equal 1,500.
5) He should have multiplied the numerator and denominator by 75, not 30, because 20 x 75 = 1,500.
Step-by-step explanation:
Final answer:
Josiah made errors in predicting the number of rock songs on his MP3 player by not averaging the samples correctly and by using the wrong multiplication factor in his proportion calculation. The correct average should be 5, and he should have used a factor of 75 to scale his samples up to the total number of songs.
Explanation:
The student has used a proportion to predict the number of rock songs on his MP3 player based on a sample. However, the prediction method has a few mistakes that should be corrected for an accurate estimate.
Josiah's initial prediction did not consider averaging the number of rock songs from both samples, which would have given a better representation of the average occurrence in the sample set. The correct average is (4+6)/2 = 5 rock songs per sample.
The proportion set up by Josiah is 10/20 = x/1,500, which implies that the 10 rock songs in his samples represent half of all songs played. This should have been compared to the total number of songs on the MP3 player, 1,500, requiring him to multiply by a specific number. Yet, the multiplication factor used (30) was incorrect. To scale up 20 to 1,500, he should use the factor of 75, because 20 × 75 = 1,500.
The correct proportion should be 5/20 = x/1,500, which simplifies to 1/4 = x/1,500, and then x = 1,500/4 = 375. Hence, the predicted number of rock songs based on the sample should be 375.
Which expression is equivalent to 30m2+12m+18?? Please help ASAP !
Answer:
c) 6(5m2+2m+3)
Step-by-step explanation:
Given expression = 30m2 + 12m + 18
The simplified form can be calculated by taking GCF
The GCF of 30m2, 12m and 18 is = 6
Therefore, the expression becomes
(6*5m2 + 6*2m + 6*3)
=> 6(5m2+2m+3) so option c is correct
The employees of a company have different hobbies.
14 men who like playing golf
6 women who like playing golf
2 men who like running
18 women who like running
Which of the following statements is correct?
A.
For every woman who likes running, 9 women like playing golf.
B.
For every woman who likes running, 7 women like playing golf.
C.
For every man who likes running, 3 men like playing golf.
D.
For every man who likes running, 7 men like playing golf.
Among the given options, statement D, which says 'For every man who likes running, 7 men like playing golf,' is the correct statement based on the numbers provided.
Explanation:In order to determine which statement is correct, we would need to relate the numbers given in the question. So let's take a look.
We have 14 men who like playing golf and 2 men who like running. So for each man that likes running, there are 14/2 = 7 men who like playing golf.We have 6 women who like playing golf and 18 women who like running. So for each woman that likes running, there are 6/18 = 1/3 women who like playing golf. This does not match either statement A or B. So we can rule them out.With this comparison, we can conclude that the correct statement is D. For every man who likes running, 7 men like playing golf.
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The correct statement is option B: for every woman who likes running, 3 women like playing golf.
Explanation:In order to determine which statement is correct, we would need to relate the numbers given in the question. To determine which statement is correct, we need to compare the ratio of women who like running to women who like playing golf.
There are 18 women who like running and 6 women who like playing golf.
Therefore, the correct statement is option B, which states that for every woman who likes running, 3 women like playing golf.
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Will mark brainest! Please look at the image for the question! (:
The price of a toy usually costing £50 is increased to £65
Work out the percentage increase.
Percentage increase is 30% increase.
The value of the percentage increase would be 30 percent.
Used the concept of the percentage that states,
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.
Given that,
The price of a toy usually costing £50 is increased to £65.
Hence, the increased price is,
£65 - £50 = £15
So, the percentage increase would be,
[tex]P = \dfrac{\£15}{\£50} \times 100\%[/tex]
[tex]P = \dfrac{1500}{50}\%[/tex]
[tex]P = 30\%[/tex]
Therefore, the percentage increase is 30%.
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What is 0.95 rounded off to the nearest whole number
1.00 would be your answer because 95 rounded up is 100. So, 0.95 is closest to 1.00
find the solution of the following system of equations by graphing y=-2x-1 y=-x-1
Answer:
(0,-1)
Step-by-step explanation:
The solution to the system of linear equation is (0, -1)
What is the solution to the system of equations?To solve for the system of linear equations, we can use substitution method;
y = -2x - 1 ...eq(i)
y = -x - 1 ...eq(ii)
Equate both equations
-x - 1 = -2x - 1
-x = -2x
This shows it can not be solved by any other means except graphically.
To solve this equation graphically, we can plug in the equations and then find the point of intersection;
Kindly find the attached graph below
The solution to the system of equation is (0,-1)
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3(q-7)=27 solve for q
Answer:
q =16
Step-by-step explanation:
q - 7 = 27/3
q = 9 + 7
q = 16
Best regards
What is 4/5 turned into a percent
Answer:80 %
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
4 divided by 5 is 0.8. 0.8 is 80%.
Albert buys a car for $12,000. The value of the car depreciates about 9% per year. After about how many years will the car be worth $7500?
Answer:
[tex]5\ years[/tex]
Step-by-step explanation:
we know that
The formula to calculate the depreciated value is equal to
[tex]D=P(1-r)^{t}[/tex]
where
D is the depreciated value
P is the original value
r is the rate of depreciation in decimal
t is Number of Time Periods
in this problem we have
[tex]P=\$12,000\\r=9\%=0.09\\D=\$7,500[/tex]
substitute in the formula above and solve for t
[tex]\$7,500=\$12,000(1-0.09)^{t}[/tex]
[tex](7,500/12,000)=(0.91)^{t}[/tex]
Apply log both sides
[tex]log(7,500/12,000)=t*log(0.91)[/tex]
[tex]t=log(7,500/12,000)/log(0.91)=5\ years[/tex]
how so i
simplify and factor this expression
-8c - 17 - 2c - 3
Answer: -10c-20
Step-by-step explanation:
Equation: -8c - 17 - 2c - 3
First, you factor -8c+17+ -2c+ -3
Then, combine like terms: (-8c+ -2c)+(-17+ -3)
Answer: -10c - 20
Your science teacher recently gave a quiz to 28 students present in class. The class average was an 82.5. Five students that were absent made up the quiz after schoolamd their scores were a 78, 89,92,,99, & 63. Find the new class average with the newscores
Total students in the class who got the quiz = 28
The average of the class average was = 82.5
Five students that were absent made up the quiz after school and their scores were a 78, 89,92,99, & 63.
The formula for an average= (sum of values) / (count of values)
As the average is given as 82.5 and there were 28 students, so sum of the 28 values will be = [tex]28\times82.5=2310[/tex]
Total students of the class = 28+5(absent) = 33
For 33 students the total score was = 2310 +(78+89+92+99+63)
= 2731
So, average for 33 students will be = [tex]\frac{2731}{33} =82.757[/tex] or 82.76
So, the new class average is 82.76
The formula for the circumference of a circle C equals two pi R where are is the radius and see is the circumference equation solve for our is our equals C over two pi find the radius of the circle that has a circumference of 16 pi
Answer:
8
Step-by-step explanation:
The question is basically "Find the radius of the circle that has a circumference of 16π"
The formula for circumference of a circle is given as [tex]C=2\pi r[/tex]
Where
C is the circumference
r is the radius
Plugging in 16π into C and solving for r gives us the radius. Shown below:
[tex]C=2\pi r\\16\pi = 2\pi r\\r=\frac{16\pi}{2\pi}\\r=8[/tex]
the radius is 8
Please help... What is the exact volume of the sphere?
56.3⎯⎯π ft³
274.625π ft³
366.16⎯⎯π ft³
1464.6⎯⎯π ft³
Answer:
[tex]\large\boxed{V=366.16\pi\ ft^3}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\\text{We have}\ R=6.5\ ft.\ \text{Substitute:}\\\\V=\dfrac{4}{3}\pi(6.5)^3=\dfrac{4}{3}\pi(274.625)=\dfrac{1098.5}{3}\pi\approx366.16\pi\ ft^3[/tex]
What is the measure of the angle RUS?
Answer:
the answer is 90 degrees
Step-by-step explanation:
angle PT=18
180-39-23-28=90
Answer:
Step-by-step explanation:
90
what is the volume of a sphere with the radius of 3 cm round to the nearest cubic centimeter
Answer:
Step-by-step explanation:
(4/3)*[tex]\pi[/tex]*r^3
V = 113,04
Best regards
The graph shown represents the rule y =x + 1.5
Answer:
Step-by-step explanation:
Help anyone on these 3 problems
Answer:
5) a) complementary
6) b) supplementary
7) c) vertical angles
Step-by-step explanation:
5)
The sum of the complementary angles = 90 degrees
According to the graph, both angles add up to 90 degrees
Answer: a) complementary
6)
Straight angle is equal 180 degrees
The sum of the supplementary angles = 180 degrees
Answer: b) supplementary
7)
Vertical Angles are the angles opposite each other when two lines cross. The vertical angles are congruent.
Answer: c) vertical angles
Answer:
5. a) complementary; 6. b) supplementary; 7. c) vertical angles
Step-by-step explanation:
Question 5
The sum of the two angles is 90°.
The angles are complementary.
Question 6
x° + 62° = 180°
The angles are supplementary angles.
Question 7
The angles are opposite each other where the two lines cross.
∴ They are vertical angles.
Note: "Vertical" in this context doesn't mean "up-and-down." It means the angles share the same vertex (corner point).
need help, what’s the answer?
Step-by-step explanation:
This is a simple angle problem, and what we need to do is subtract 73-44. This is because if we subtract the angles we already have, we will get the angle that we are trying to solve. The answer would be 29.
Please help! Easy scatter plot multiple choice questions
The correct answer would be a, because the left side of the graph indicates that the y axis represents how many customers and since it says 7.pm in the question, it would be choice A
6 x 10^-4 in standard form. explain how you did it pleeeeasee
0.0006=6x10^-4
Since the exponent is negative, the number will get smaller. A negative exponent shows that the decimal point is shifted that number of places to the left. The exponent is -4, so the decimal place will move 4 places to the left.
Answer:
0.0006
Step-by-step explanation:
A number in scientific notation if it has the form a × 10ⁿ.
A negative exponent indicates
A number between 0 and 1. That the decimal point is shifted that number of places to the left.6 × 10⁻⁴ tells you that the decimal number is 6. with the decimal point moved four places to the left.
Thus, 6 × 10⁻⁴ becomes 0.0006
a window in the shape of a parrallelogram has a base of 36 inches and a height of 45 inches. what is the area of the window
I think the answer is 1620 inches.
Because 36 times 45 is 1620
what is the sum of the polynomials? (4x^5+3x^3-x-6)+(3x^3-9x-4)
Answer:
You only can to sum expressions with the same exponent, so:
Step-by-step explanation:
(4x^5+3x^3-x-6)+(3x^3-9x-4)
4x^5 + 6x^3 - 10x - 10Best regards
Answer:
4x^5+6x^3-10x-10
Step-by-step explanation:
you get rid of the parenthesis and combine like terms
Plz helppppppppppppppp
Answer:
[tex]\large\boxed{Area:\ 69\ ft^2}\\\\\boxed{Perimeter:\ 58\ ft}[/tex]
Step-by-step explanation:
Look at the picture.
The perimeter:
[tex]P=3+17+12+2+9+15=58\ ft[/tex]
We have two rectangles 12 ft × 2 ft and 15 ft × 3 ft.
Calculate the areas of the rectangles:
[tex]A_1=(12)(2)=24\ ft^2\\\\A_2=(15)(3)=45\ ft^2[/tex]
The area of the figure:
[tex]A=A_1+A_2\\\\A=24+45=69\ ft^2[/tex]
What is the solution to the following system of linear equations? 4y − 36 = −12x 3x + y = −9 Select one: A. (-2, 3) B. (1, 5) C. no solution D. infinitely many solutions
I think it's c. No solution
The solution for the given system of linear equations is (1, -2), which is not provided in the options given. A possible typo may exist in the options.
Explanation:This question is asking for the solution to a system of linear equations. The equations were given as 4y − 36 = −12x and 3x + y = −9. To solve this system, we can use the method of substitution or elimination. First, let's rewrite the first equation in terms of x. Dividing each side of 4y - 36 = -12x by -12, we get x = -y/3 + 3. We can then substitute (-y/3 + 3) for x into the second equation, yielding 3(-y/3 + 3) + y = -9. Solving Yields y = -2 and substituting y = -2 into x = -y/3 + 3 gives x = 1. So, the solution to this system is x = 1, y = -2. So the correct answer is (1, -2), which was not provided in the options. It seems there might be a typo in the options provided.
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simplify (3x-8)+(2x+5)-(4x-8)
Answer:
[tex]\large\boxed{(3x-8)+(2x+5)-(4x-8)=x+5}[/tex]
Step-by-step explanation:
[tex](3x-8)+(2x+5)-(4x-8)\\\\=3x-8+2x+5-4x-(-8)\\\\=3x-8+2x+5-4x+8\qquad\text{combine like terms}\\\\=(3x+2x-4x)+(-8+5+8)\\\\=x+5[/tex]
To simplify the expression (3x-8)+(2x+5)-(4x-8), distribute the negative sign, combine like terms, and simplify to x+5.
Explanation:To simplify the expression (3x-8)+(2x+5)-(4x-8), we need to combine like terms. Start by distributing the negative sign in front of the parentheses that contain (4x-8):
(3x-8)+(2x+5)-4x+8
Now, combine the like terms:
3x+2x-4x-8+5+8
Combine similar terms:
1x+5
So, the simplified expression is x+5.
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A bowl has 3 plums and 5 pears. A second bowl has 2 plums and 4 pears. You randomly chose one piece of fruit from the first bowl and one piece of fruit from the second bowl. What is the probability that they are both plums?
3x/5y = 60% 2x/4y=50%
I don't understand what im supposed to find? Isnt the math correct?
Answer:
Step-by-step explanation:
Yes the math is correct. But the A part asks for the interest. The interest is 795.96 and that is what her account is worth. She thinks the interest is 3795.96, but it's not. She's added the bare principle in a second time.
Account amount = 3795.96
Interest = 795.96
find the total area of this object
There are 2 triangles.
Area of a triangle is 1/2 x base x height = 1/2 x 4 x 3 = 6 square units each.
6 x 2 = 12 square units.
There is 1 rectangle 3 x 10 = 30 square units.
There is 1 rectangle 5 x 10 = 50 square units.
5 is the hypotenuse of the triangle found by using the Pythagorean theorem.
There is 1 rectangle 4 x 10 = 40 square units.
Total surface area = 12 + 30 + 50 + 40 = 132 square units.
how do i answere this
Answer:
F. m/1.05=0.7/1.4
Step-by-step explanation:
The first expression is not true as the side labelled m in figure I corresponds to the side labelled 1.05 in figure II the side labelled but as for the the other set in the comparison i.e 0.7/1.4 it should start with the side that from figure I in the order in which they appear in the first ratio. The sides in the other ratios in the options correspond to each other and appear int the order in which the first ratio in each set appears
What is the perimeter of the shape below
Answer:
20
Step-by-step explanation:
look at picture and you can add all the numbers becuase i counted the sides