The three statements about his solution that are true include the following:
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 × 75 = 1,500.
How to determine the true solutions?Based on the information provided, a mathematical expression which models the number of songs of each genre on Josiah's MP3 player to be 300 songs:
10/20 = x/1500
Multiplying the mathematical expression by 75, we have the following:
75 × (10/20) = x/1,500
750/1500 = x/1500
1,500x = (750 × 1,500)
x = (750 × 1,500)/1,500
x = 750.
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please help im suffering right now
Answer:
C
Step-by-step explanation:
If we use the distributive property for 4 (2x + 1), we see that 4 (2x) = 8x and that 4 (1) = 1. That means 4 (2x + 1) = 8x + 4 which is not equivalent to 2x + 4y. So this limits our answer to either C or D. C is the correct answer because if we use the distributive property again here for 4 (2x + y), we see that 4 (2x) = 8x and 4 (y) = 4y. That means that 4 (2x + y) = 8x + 4y which is the answer we're looking for.
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What is the slope that passes through (1,2) and (2,6)
Answer:
4
Step-by-step explanation:
use slope formula y2-y1/x2-x1
6-2/2-1
4/1
4 is the slope
Hopes this helps please mark brainliest
What is the formula for simple interest
Answer: The formula for simple interest is P*R*T/100
Step-by-step explanation: Where P stands for Principal and R for Rate T for Time
Suppose a designer has a palette of 15 colors to work with, and wants to design a flag with 5 vertical stripes, all of different colors.
How many possible flags can be created?
The number of flags that could possibly be created, given the palette of colors to work with, and the number of stripes, is 360, 360 flags.
How to find the number of flags?The designer has the choice to pick from 15 colors to work with. They will then pick another color, and then another, until they pick five colors to make stripes.
When they pick a single color, the number of choices drops to 14 colors. When they pick 5 colors, they will be left with 11 colors.
The number of possible flags is therefore:
= 15 x 14 x 13 x 12 x 11
= 360, 360 possible flags
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Which expression is equivalent to log2-log6
Answer: log2-log6=-log3
Step-by-step explanation:
[tex]\displaystyle\\log2-log6=\\\\log\frac{2}{6} =\\\\log\frac{2(1)}{2(3)}=\\\\log\frac{1}{3} =\\\\log3^{-1}=\\\\-log3[/tex]
A drawing ha a cale of 1:30. An a drawing, a kitchen i a rectangle meauring 12cm by 27cm. A bedroom ha an actual area of 300000cm
which ha the bigger actual area, the kitchen or the bedroom?
you mut how your working
Actual area of bedroom is bigger than the kitchen as per the given measurements and scale.
As per the given question,
Given drawing scale is:
1 : 30
Shape of the kitchen is rectangle with measurements = 12cm by 27cm
Using scale :
Length = 12cm
Actual length = 12 × 30
= 360cm
Width = 27cm
Actual width = 27 × 30
= 810 cm
Actual area of kitchen = 360 × 810
= 291,600 cm²
Actual area of bedroom = 300,000cm²
300,000 > 291,600
Actual area of bedroom > Actual area of kitchen
Therefore, actual area of bedroom is bigger than the actual area pf kitchen.
The complete question is:
A drawing has a scale of 1:30 On the drawing, a kitchen is a rectangle measuring 12 cm by 27 cm A bedroom has an actual area of 300 000 cm² Which has the bigger actual area, the kitchen or the bedroom? You must show your working.
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I need help please im so confused
Step-by-step explanation:
the x-intercept is the point, where the curve intercepts the x-axis (that means y = 0).
the y-intercept is the point, where the curve intercepts the y-axis (that means x = 0).
y = 10 - 2x
when x = 0, that means y = 10 - 2×0 = 10.
when y = 0, that means 0 = 10 - 2x, 2x = 10, x = 5
x-intercept = (5, 0)
y-intercept = (0, 10)
4y + 9x = 18
x = 0, 4y = 18, y = 18/4 = 9/2 = 4.5
y = 0, 9x = 18, x = 18/9 = 2
x-intercept = (2, 0)
y-intercept = (0, 4.5)
6x - 2y = 44
3x - y = 22
x = 0, -y = 22, y = -22
y = 0, 3x = 22, x = 22/3 = 7 1/3
x-intercept = ( 7 1/3, 0)
y-intercept = (0, -22)
2x = 4 + 12y
x = 2 + 6y
x = 0, 6y = -2, y = -2/6 = -1/3
y = 0, x = 2 + 6×0 = 2
x-intercept = (2, 0)
y-intercept = (0, -1/3)
Given that z=x + i y, find the values of real numbers x and y such that z - 4iz' + 3 = 0, when z' is the conjugate of z.
THANKS IN ADVANCE!!!
The value of z = 0 + 0i
What is complex numbers ?
A complex number can be represented in the form a + bi, where a and b are real numbers. A complex number is a part of a number system that extends the real numbers by adding an element designated by the symbol I sometimes known as the imaginary unit, and meeting the equation displaystyle i2=-1.
( x + iy ) - 4i ( x - iy ) = 0
x + iy - 4ix + 4i²y = 0
x + i (-4x + y ) + 4y = 0
x + 4y + ( - 4x + y )i = 0
Now two complex numbers are equal if both the real and imaginary parts are equal, which gives you the system of equation
x + 4y = 0 ⇒(1)
-4x + y = 0 ⇒ (2)
Multiplying equation (1) with 4
4x + 16y = 0
Solving the equations
4x + 16 y = 0
-4x + y = 0
17 y = 0
y = 0
Putting the value of y in (1)
x + 4(0) = 0
x = 0
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Evaluate the expression when b=9
4b+10-b
Group of answer choices
37
47
27
17
Answer:
37
Step-by-step explanation:
4b+10-b = 3b + 10 = 3(9) + 10 = 27 + 10 = 37
Tracy is saving to buy a new guitar that costs $253. 77 (including tax). Tracy has saved $136. 27, and she can save $23. 50 each week. How many more weeks will it take her to save enough money?.
Tracy need 5 weeks to save enough money to buy a new guitar.
Given that,
Tracy is saving to buy a new guitar. Which having costs $253.77(including tax).
Tracy has already saved $136. 27.
Now she needs = 253. 77- 136. 27
= $117.50
she can save each week = $23. 50
Tracy will take weeks to save enough money
= [tex]\frac{117.50}{23.50}[/tex]
= 5 weeks.
Therefore, Tracy need 5 weeks to save enough money to buy a new guitar.
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Select all correct answers. one solution to a quadratic equation is . what is true about any remaining solutions? there are at least two more real solutions. there are no other real solutions. there is exactly one complex solution. there are two or more complex solutions. there are no complex solutions. there is exactly one more real solution.
There is exactly one more real solution or there is exactly one more complex solution
Given,
One solution to a quadratic equation is x = -5/3
We have to find the correct statements from the given ones;
A polynomial of degree two is a quadratic equation.
This implies that a polynomial has two solutions.
We already have an answer to the query, which is a true root.
Then, the additional response that we lack can appear in the form of two responses.
It may be a real root or a complicated root, depending on the situation.
The following is the response to this query:
There is exactly one more real solution or there is exactly one more complex solution
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Find x and y values that make both y=−2/3x+3 and y=2x−5 true.
What is the ordered pair for your solution?
The ordered pair is (3, 1) which is the intersecting point of these two equations.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given, are two equations y = -(2/3)x + 3 and y = 2x - 5.
Now the solution to this system is the common intersecting point of these equations.
With the help of graphing we conclude that the intersecting point is (3, 1) and so is the solution.
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Dan buys a car for £700.
It depreciates at a rate of 5.5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
The value of car after 6 years is £498.53
Define Modeling Exponential Decay
A model for decay of a quantity for which the rate of decay is directly proportional to the amount present.A(1 - r)^tA = Present value , r = rate, t = timeGiven that,
Dan buys a car = £700
Depreciates at a rate of = 5.5% per year
The value after 6 years = 700 (1 - 5.5 / 100) ^6
= 498.527 or 498.53
Therefore, the value of car after 6 years is £498.53
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Activity class has 20 women and 13 men. A committee of five is chosen at random. Find (a) p(the committee consists of all women). (b) p(the committee consists of all men) (c) p(the committee consists of all of the same sex) Activity Suppose that a die is loaded (biased) such that 3 appears twice as often as each other number but that the other 5 numbers are equally likely. What is the probability that an odd number appears when we roll this die?
the probability of the committee consisting of all women is 6.53%.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
number of women = 20
number of men = 13
Total number of persons = 20+ 13 = 33
A committee of 5 people is chosen at random. Total number of ways in which the committee of 5 can be chosen N
N = C(33 5) = 33! / 5!*28!
N = 237336
p(the committee consists of all women) = C (20 3)*C(13 0)/N
p = 15504 / 237336
p = 0.0653
Hence, the probability of the committee consisting of all women is 6.53%
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the gram-schmidt process produces from a linearly independent set {x1, x2, . . . , xp} an orthogonal set {v1, v2, . . . , vp} with the property that span{v1, . . . , vk}
The statement is true.
An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.
Given that,
From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.
Whether the claim is true or false must be determined.
The statement is true.
An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.
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Can walk 4 miles in one hour and can run 8 miles in one hour what percent of average running speed is her average walking speed 
Answer: 50% of her average running speed is her average walking speed
Step-by-step explanation:
60 ÷ 4 = 15
60 ÷ 8 = 7.5
7.5 is half of 15, making it 50% of her running speed.
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a. [tex]123.1(1.069)^3 \approx 150.4[/tex]
b. [tex]123.1(1.069)^{20} \approx 467.5[/tex]
What is 5% of 60 use a double number line diagram to show your work
Using the proportion , the 5% of 60 would be 3.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that the number of 5% of 60.
5% of 60
= 0.05 x 60
= 3
Therefore, the 5% of 60 would be 3.
Using the proportion , the 5% of 60 would be 3.
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What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.
∠Z ≅ ∠G and XZ ≅ FG
∠Z ≅ ∠G and ∠Y ≅ ∠E
XZ ≅ FG and ZY ≅ GE
XY ≅ EF and ZY ≅ FG
∠Z ≅ ∠G and XY ≅ FE
intuitive distortion
The additional information that could be used to prove that ΔXYZ ≅ ΔFEG by ASA or AAS are:
∠Z ≅ ∠G and XZ ≅ FG
∠Z ≅ ∠G and XY ≅ FE .
What is ASA and AAS?The AAS is a theorem that states that we can prove that two triangles are congruent if they have two pairs of congruent angles and a pair of non-included sides.
The SAS is also another theorem that states that we can prove that two triangles are congruent if they have two pairs of congruent sides and a pair of included congruent angles.
From the image attached below, we are only given one pair of congruent angles, which is ∠X ≅ ∠F.
Therefore, for both triangles to be congruent by AAS or SAS, the additional information needed are:
∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE .
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what is a x b when a=7 and b=9
Answer:
89
Step-by-step explanation:
if u divide and multiply theory is equivalent to its nominal answer thus your answer will be 89
helpppppp maeeeeeeee
Answer:
x= -7
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This can be abbreviated to ∠ sum of ∆.
Adding the angles in the triangle,
84° +(x +59)° +(x +51)°= 180° (∠ sum of ∆)
2x= 180 -84 -59 -51
2x= -14
Divide both sides by 2:
x= -14 ÷2
x= -7
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Answer:
A
Step-by-step explanation:
Eliminate B and C because they don't pass through (0,1).
Eliminate D because it doesn't decrease quickly enough.
Which of the following are essential elements of hypothesis testing?
-It uses probability theory to determine if a hypothesis is a reasonable statement.
-It makes use of sample data.
The following are crucial factors in hypothesis testing:
It employs probability theory to evaluate if a hypothesis is a valid claim.It employs sample data.Explain the term hypothesis testing?In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test.
The type of data being used and purpose of the study will determine the methodology the analyst uses. A basic hypothesis can anticipate a causal relationship between variables, i.e., that one has an impact on the other. This is known as hypothesis testing, and it uses sample data to determine the plausibility of a hypothesis.It is a technique for analysis that evaluates presumptions and establishes the likelihood of something based on a predetermined level of accuracy. Testing hypotheses offers a technique to determine whether the outcomes of an investigation are reliable.Thus, before conducting the hypothesis testing, a null hypothesis as well as an alternative hypothesis are established.
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a spring has a spring constant of 283 n/m. how far is the spring compressed to the right if 129 n of force are used
The spring is compressed to 95.5 cm to the right if 129 N of force are used.
In this question, we have been given the spring constant k = 283 N/m
if 129 N of force are used then we need to find distance that the spring compressed to the right.
Let the spring stretch from the equilibrium position x.
An equation for the spring's potential energy is,
PE = 1/2 kx^2
129 = 1/2 * 283 * x^2
2 * 129 = 283 * x^2
258/283 = x^2
x^2 = 0.9117
x = 0.9548 m
x = 95.5 cm
Therefore, the spring is compressed to 95.5 cm to the right if 129 N of force are used.
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What is 3x+6 I don’t know what this is
Answer:
it is a function.
Step-by-step explanation:
The answer is just 3x+6
Answer:
3x+6 can be be the result of 3(x+2) and then you distribute to get 3x+6
If you are asking how to solve you need an equal sign in the equation for example: 3x+6=27 you would have to solve to figure out wht x is. x is any unknown number we use x or any letter in the alphabet to fill in. You have to olve for the variable now.
A General Rule for Solving Equations
Simplify each side of the equation by removing parentheses and combining like terms.
Use addition or subtraction to isolate the variable term on one side of the equation.
Use multiplication or division to solve for the variable.
Step-by-step explanation:
PLEASE ILL DO ANYTHING I ALREADY OFFERED AS MUCH POINTS AS POSSIBLE
Answer:
A, B, D, E
Step-by-step explanation:
Given expression:
(0.06) · (0.154)When multiplying decimals, multiply as if there are no decimal points:
[tex]\implies 6 \times 154 = 924[/tex]
Count the number of digits after the decimal in each factor:
0.06 → 2 digits0.154 → 3 digitsTherefore, there is a total of 5 digits.
Put the same number of total digits after the decimal point in the product:
[tex]\implies (0.06) \cdot (0.154)=0.00924[/tex]
-----------------------------------------------------------------------------------------------
Answer option A
[tex]\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}[/tex]
When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.
Therefore:
6 ÷ 100 = 0.06154 ÷ 1000 = 0.154[tex]\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)[/tex]
Therefore, this is a valid answer option.
Answer option B
[tex]\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}[/tex]
Multiply the numbers 6 and 154:
[tex]\implies 6 \times 154 = 924[/tex]
Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).
[tex]\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924[/tex]
Therefore, this is a valid answer option.
Answer option C
[tex]\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}[/tex]
Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:
[tex]\implies 6 \cdot 154 = 924[/tex]
Count the number of digits after the decimal in each factor:
0.1 → 1 digit0.01 → 2 digitsTherefore, there is a total of 3 digits.
Put the same number of digits after the decimal point in the product:
[tex]\implies 0.924[/tex]
Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.
Answer option D
[tex]\boxed{6 \cdot 154 \cdot (0.00001)}[/tex]
Again, employing the technique of multiplying decimals.
As there are a total of 5 digits after the decimals:
[tex]\implies 6 \cdot 154 \cdot (0.00001)=0.00924[/tex]
Therefore, this is a valid answer option.
Answer option E
[tex]\boxed{0.00924}[/tex]
As we have already calculated, (0.06) · (0.154) = 0.00924.
Therefore, this is a valid answer option.
ABCD is a rectangle, where AB= x cm and
BC is 1.5 cm less than AB.
If the area of the rectangle is 52 cm³, form
an equation in x and solve it to find the
dimensions of the rectangle.
Answer:
AB = 8cm ; BC = 6.5 cm
Step-by-step explanation:
BC = x- 1.5
x * (x-1.5) = 52
x^2 - 1.5x - 52 = 0
Discriminant = 2.25 -4(-52) = 2.25 + 208 = 210.25
We are searching only positive value
(1.5 + 14.5)/2 = 16 / 2 = 8 cm
AB = 8 cm
BC = 8 - 1.5 = 6.5 cm
Each week, Tasha saves 60% of the money she earns babysitting and spends the rest. This week she
earned $60.00
How much more money did she save than spend this week?
Helppppp, I don’t know what to do, I just really need the answer
The completed statement on the exponential model that fits the data in the question is presented as follows;
The exponential model indicates that the plastic production has a 7.88% growth per year. The model predicts that the production 15 years after 1960 was closest to 30 million metric tons, because the correlation coefficient indicates a strong correlation between the model and the data, this prediction is correct.
What is a correlation coefficient?The correlation coefficient is an indication of the level at which the variables are interdependent.
The table of values in the question can be entered into a spreadsheet application as follows;
In the spreadsheet application, enter Year since 1960 values in a column, and the Plastic Production in an adjacent columnSelect the all the data entered into the spreadsheet document such as MS Excel, then select the Insert tabIn the charts section select scatter plot to create a scatter plot of the dataIn the Design tab, that appears when the chart is selected, select the Add Chart Element button access the Trendline functionSelect the Exponential trendline from the menu for trendlinesThe exponential trendline is then created by the spreadsheet applicationThe equation for the trendline obtained from MS Excel is presented as follows; f(x) = 9.2179·e^(0.0788·x)
The growth rate from the above exponential function is 7·88% per year
The production 15 years after 1960 is therefore;
f(15) = 9.2179·e^(0.0788 × 15) ≈30.06
The number of plastic produced 15 years after 1960 is about 30 million metric tons
The correlation coefficient obtained from MS Excel is R² = 0,9157, which indicates a strong correlation between the data and the model
The prediction is correct based on the strong correlation between the year and the number of plastic produced.
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what does it mean for two shapes to be proportional.
Answer:
It means that the quantities have the same relative size. In other words they have the same ratio.
Step-by-step explanation:
For example look at the attached files
