divide cost by quantity. The lowest rate is the best buy:
26/8 = 3.25 each
30/5 = 6.00 each
15/4 = 3.75 each
39/12 = 3.25 each
45/10 = 4.50 each
The 8 for 26 and the 12 for 39 are both the same price each and are the better buys.
a scatterplot shows: a. the average value of groups of data. b. scores on one variable plotted against scores on a second variable. c. the frequency with which values appear in the data d. the proportion of data falling into different categories.
Scores on one variable plotted against scores on a second variable.
The correct answer is (b)
Now, According to the question:
Let's know:
A scatterplot shows:
A scatterplot shows the relationship between two quantitative variables measured for the same individuals. The values of one variable appear on the horizontal axis, and the values of the other variable appear on the vertical axis. Each individual in the data appears as a point on the graph.
Hence, The correct answer is (b) i.e.,
Scores on one variable plotted against scores on a second variable.
Given,
In the question:
A scatterplot shows:
a. the average value of groups of data.
b. scores on one variable plotted against scores on a second variable.
c. the frequency with which values appear in the data
d. the proportion of data falling into different categories.
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the days to maturity for a sample of five money market funds are shown here. the dollar amounts invested in the funds are provided. days to maturitydollar value ($ millions) 1515 1110 725 515 410 use the weighted mean to determine the mean number of days to maturity for dollars invested in these five money market funds. round your answer to decimal places. days
The mean number of days to maturity for dollars invested in these five money market funds is approximately 8.95 days.
To calculate the weighted mean of the days to maturity, we need to multiply each value of days to maturity by its corresponding dollar value, sum the products, and divide the result by the total dollar value.
The calculation for the weighted mean is as follows:
Weighted Mean = (D1 x V1 + D2 x V2 + D3 x V3 + D4 x V4 + D5 x V5) / (V1 + V2 + V3 + V4 + V5)
where D represents the days to maturity and V represents the dollar value.
Using the given values, we can plug them into the formula and get:
Weighted Mean = (15 x 15 + 11 x 10 + 7 x 25 + 5 x 15 + 4 x 10) / (15 + 10 + 25 + 15 + 10)
Weighted Mean = 8.95 (rounded to two decimal places)
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Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²
Answer:
9/4
Step-by-step explanation:
You want to know the value required to complete the square in the equation 1 = x² -3x.
PictureYour picture shows the required value: (-3/2)² = 9/4.
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There are 18 girls and 12 boys on the swim team. What FRACTION of the team is made up of boys?
Answer:
12/30
Step-by-step explanation:
Hope this helps man. Have a GREAT day.
Sincerly, lipor
A 12/30 fraction of the team is made up of boys.
What is a fraction?A fraction is defined as part of a whole.
The total number of team members is
12+18=30
The number of boys on the team is 12.
Hence, the fraction of boys o the team is 12/30.
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x2 - 12x + 32 = (x - 8)
Answer:
x = 3.6
Step-by-step explanation:
=> x2 - 12x + 32 = (x - 8)
=> 2x - 12x + 32 = (x - 8)
=> 2x - 12x + 32 = x - 8
=> 2x - 12x - x = -8 -32
=> -10x - x= -40
=> -11x = -40
=> (-11x)/-11 = (-40)/-11
=> x = 3.636363636363636
=> x = 3.6
Find the value of x.
Answer:
Step-by-step explanation:
The equation for this is
12(x + 1) = 10(10 - x) and
12x + 12 = 100 - 10x and
22x = 88 so
x = 44
11(n – 1) + 35 = 3n find n
Answer:
n=-3
Step-by-step explanation:
11(n – 1) + 35 = 3n
expand left side
11n-11+35=3n
Add-11 to 35
11n+35-11=3n
11n+24=3n
subtract 24 from both sides
11n+24-24=3n-24
11n=3n-24
subtract3n from both sides
11n-3n=3n-24-3n
8n=-24
divide both sides by 8
8n/8=-24/8
n=-3
Answer:
n = -6Step-by-step explanation:
\(11(n -1) + 35 = 3n\\n =? \\11n -11 +35=3n\\Collect-like-terms\\11n-3n=-35+11\\4n =-24\\divide -both-sides-of-the-equation\\n = \frac{-24}{4} \\n = -6\\\\\)
Name the angles or segments that are congruent by the Addition Property.
In figure (a),
Angle AEB congruent to angle EDC and angle ABE congruent to angle BCD.
And in figure (b),
segment JH congruent to segment FG and segment JF congruent to segment HG
What is congruence?
If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.
when two of a triangle's angles and one of its non-included sides are identical to their corresponding angles and sides of another triangle
Angle AEB congruent to angle EDC and angle ABE congruent to angle BCD.
Therefore, ΔACD and ΔABE are congruent triangles.
And in figure (b),
segment JH congruent to segment FG and segment JF congruent to segment HG
Therefore, ΔFGH and FJH are congruent triangles.
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How many rectangles are needed to draw the net of this object?
5
2
4
3
hurry pleaseee;))))))))))))))))))))
The number of rectangles needed to draw the net of the object is D. 3 rectangles.
How to find the number of rectangles ?To find the number of rectangles needed to draw the net of the object, look at the number of faces that the figure has.
The faces that have rectangular shapes are the only ones you need to concern yourself about when it comes to using rectangles to draw a net.
There are 3 rectangular faces so the number of rectangles needed to draw a net of the object would be 3 rectangles.
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What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
The factor of the polynomial f(x) graphed on the coordinate plane is
(x - 1).
What is factor of the polynomial?
A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.
A polynomial can be factored by expressing it as the product of two or more components; this is somewhat the opposite of multiplying.
From the given graph we can see that, graph crosses x - axis at points
x = 1 and x = 8.
That means x = 1, 8 are the zero of the polynomial.
Since, if x = a is a zero of the polynomial, then (x - a) is the factor of the polynomial.
As x = 1, 8 are zero of the polynomial so (x - 1) and (x - 8) are the factors of the polynomial.
Hence, from the given options (x - 1) is factor of the polynomial.
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5x+3=9x+4, what numbers are the constants
Answer:
3 and 4
Step-by-step explanation:
Moira needs a total of 214 hours to finish reading a book. Yesterday, she read for 178 hours. Supply the correct numbers to complete the equation that can be used to determine the number of hours, h, that Moira needs to read to finish the book.
h + =
An equation that can be used to determine the number of hours, h, that Moira needs to read to finish the book is h + 178 = 214.
How to write an equation to model this situation?In order to write an equation that model this situation, we would assign a variable to the number of hours that is needed to read to finish the book and the total number of hours respectively, and then translate the word problem into algebraic equation as follows:
Let the variable h represent the number of hours.Let the variable T represent the total number of hours.Next, we would translate the word problem into an algebraic equation based on the fact that she read for 178 hours yesterday as follows;
h + 178 = T
Substituting the given parameters into the algebraic equation, we have the following;
h + 178 = 214
Solving for h, we have the following;
h = 214 - 178
h = 36 hours.
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Hi guys can you answer this question
Answer:
160403.47
Step-by-step explanation:
Please mark as brainliest
7.32*600=4392
4392*0.56= 2459.52
2459.52*3= 7378.56
7378.56/3.45=2138.71
2138.71*75= 160403.47
Answer:
28.5161739131
hope this answer helps you.....
Which is more, 45 fluid ounces or 6 cups?
Answer:
6 cups
Step-by-step explanation:
6 cups = 48 ounces
For the spring picnic, Mr. Jones served 85 hot dogs to 50 people. Mr. Jones expects 68 people at the fall picnic. Which proportion could be used to find how many hot dogs Mr. Jones needs for the fall picnic?
If Mr. Jones served 85 hot dogs to 50 people the proportion of hot dogs is:
\(\frac{85}{50}\text{ hot dogs/person}\)If he expects 68 people at the fall picnic, the amount of hot dogs he will need is the number of people multiplied by this proportion:
\(\text{hot dogs = 68p }\cdot\frac{85}{50}\text{ hot dogs/p}\)Answer
The proportion that could be used to find how many hot dogs Mr. Jones will need for the fall picnic is 85/50
He will need 115.6 hot dogs (since the number of hot dogs is a whole number, He will have to buy 116 hot dogs)
Gladys classifies the following system of equations. Y = 6x + 2 y = 6x + 1 select correct or not correct for each statement.
Answer:
No statements are included in the question. Several observations are noted.
Step-by-step explanation:
y = 6x + 2
y = 6x + 1
y=mx+b is the equation for a straight line, where m is the slope and b the y-intercept.
Observations
1. These are both straight lines.
2. The slopes are both the same: +6. The lines are parallel.
3. Since they are parallel, they will never intersect (within the solar system)
4. The second line is one unit lower than the first: it's y-intercept is +1, comapared to +2 for the first.
5. Since they do not intercept, there is no solution for this system of equations.
These will likely match some of the statements.
Find the difference (1−5q)+2(2.5q+8)
Answer:
The main reason for the large population growth in Texas between 1850 and 1860 was __________.
a.
a large increase in the birth rate
b.
a large decrease in the death rate
c.
settlers moving in from other places
d.
all of the above
Please select the best answer from the choices provided
A
B
C
D
Step-by-step explanation:
What is f(5) for the function f(x)=-9x-10
Step-by-step explanation:
In this form, x = 5.
so we'll substitute 5 in for x...
f(5) = -9(5) -10
f(5) = -45 -10
f(5) = -55
essentially saying, when x = 5, y = -55
What is the slope-intercept form of the linear equation x+4y=12?
Answer:
y = -x/4 + 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: x + 4y = 12
Step 2: Rewrite
Find slope-intercept form
Subtract x on both sides: 4y = 12 - xDivide 4 on both sides: y = 3 - x/4Rearrange: y = -x/4 + 3we know that
The equation of the line in the slope-intercept form is equal to
we have
Solve for y
Subtract both sides
Divide by both sides
therefore
the answer is
Y= 1/4x+3
Sketching a Function from its Derivatives A In this post, you will use the first and second derivatives of a function (along with a few other pieces of information) to sketch the graph of a function. Sketch the graph of a single function f (x) that satisfies all of the following conditions. Use the techniques that we have learned in this course to do so. f'(x)= 16(x + 2) (6 - x) ³ 32(x + 6) f"(x) = (6 x - x) 4 The domain of fis (-[infinity], 6) U (6,[infinity]) x = 6 is a vertical asymptote of f lim f(x) = 1, lim f(x) = 1 x→→[infinity]0 f(2)= 1 8个
Here, x = 6 is a vertical asymptote of f, so the function approaches infinity as x approaches 6 from both sides.
Let's start by integrating f'(x) to get f(x). We have:
f'(x) = 16(x+2)(6-x)³ - 32(x+6)
Integrating both sides with respect to x:
f(x) = ∫[16(x+2)(6-x)³ - 32(x+6)] dx
Simplifying the integral, we get:
f(x) = -2(x+2)²(6-x)⁴ + 16(x+6) + C
where C is the constant of integration.
Next, we can find the critical points of f(x) by setting f'(x) = 0:
f'(x) = 16(x+2)(6-x)³ - 32(x+6) = 0
Solving for x, we get x = -2 and x = 6 as critical points.
Now, we can use the second derivative f''(x) to determine the concavity of the function. We have:
f''(x) = (6x-x)⁴ = x⁴
Since the second derivative is always positive for x > 0, the function is concave up on the interval (6, ∞).
Similarly, since the second derivative is always negative for x < 0, the function is concave down on the interval (-∞, -2).
At x = -2 and x = 6, the function has an inflection point.
Finally, we know that x = 6 is a vertical asymptote of f, so the function approaches infinity as x approaches 6 from both sides.
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write the numerical expression for each statement
An expression is defined as a set of numbers, variables, and mathematical operations. The sum of three and the square root of a number is expressed as 3 + √x.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Let the unknown number be represented by x.
1.) The sum of three and the square root of a number.
3 + √x
2.) Nine less than a number cubed.
x³ - 9
3.) The quotient of a number and 7.
x ÷ 7
4.) Four times a quantity plus five.
4x + 5
Hence, The sum of three and the square root of a number is expressed as 3 + √x.
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Is a 403(b) an asset or liabilities?
A 403(b) retirement plan is classified as an asset.
What are assets and liabilities?The definitions for each of assets and liabilities are presented as follows:
Asset: Items you or your company own that will provide future economic benefit to your company.Liability: Items that are going to provide future expenses.Hence one example of each is given as follows:
Asset: Retirement plan -> you invest the money, then when you retire you take back the money with interest.Liability: Loan -> The loan accrues interest, and then sometime in the future you or your company has to pay off the loan.In the context of this problem, a 403(b) is a retirement plan, hence it is classified as an asset instead of a liability.
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66666666 help me plz plz plz
Answer:
XY would also be 7 centimeters which is answer D.
Step-by-step explanation:
This is a parallelogram, meaning that the adjacent sides are congruent. As well, the triangles making up the figure are congruent, so it makes sense that XY would also equal 7 centimeters.
At a carnival, Preton and hi brother collected 53 piece of candy all together. Each of them ate 5 piece of candy that evening. The next day, Preton had 19 piece left. How many piece did Preton' brother have left?
The total number of pieces that Preston's brother has left is 24.
What is the subtraction operation?
In mathematics, the operation of eliminating items from a collection is represented by the subtraction operation. The negative symbol (-) is used to denote subtraction.
Given, Preston and his brother collected 53 pieces of candy.
Each of them ate 5 pieces of candy.
And, Preston had 19 pieces left.
The number of candies Preston's brother have left = 53 - (5*2 + 19) = 24
Hence, the total number of pieces that Preston's brother has left is 24.
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How many solutions does the following equation have? 5(x + 3)= 5x + 3
HELP!!
If a school district takes a random sample of 68 Math SAT scores and finds that the average is 500, and knowing that the population standard deviation of Math SAT scores is intended to be 100. Find a 99% confidence interval for the mean math SAT score for this district
The 99% confidence interval for the mean math SAT score for this district is [468.80, 531.20]. We can be 99% confident that the true mean math SAT score for the district is within this interval.
To calculate the confidence interval, we will use the formula:
CI =\(\bar x\) ± zα/2 × (σ/√n)
where:
\(\bar x\) is the sample mean (500)
zα/2 is the z-score for the desired confidence level (99%, which corresponds to a z-score of 2.576 for a two-tailed test)
σ is the population standard deviation (100)
n is the sample size (68)
Plugging in the values, we get:
CI = 500 ± 2.576 × (100/√68)
CI = 500 ± 2.576 × 12.11
CI = 500 ± 31.20
Therefore, the 99% confidence interval for the mean math SAT score for this district is [468.80, 531.20]. We can be 99% confident that the true mean math SAT score for the district is within this interval.
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the slopes of the search functions for the control subjects and the split-brain patients differed in what way?
Therefore , the solution of the given problem of slope comes out to be less consistent than that of the split-brain patients.
Define slopeThe slope of a line determines how steep it is. Equations predicated on gradients might experience gradient overflow. One can determine the slope by dividing the midpoint of the run (length difference) between two points by the rise (vertical differentiation) between the same two points. The equation of the hill type with the notation y = mx + b is used to model the fixed path problem.
Here,
Given :
A slope having search functions for the control subjects and
the split-brain patients is different because
In general, the control participants' performance was less consistent than that of the split-brain patients.
Therefore , the solution of the given problem of slope comes out to be less consistent than that of the split-brain patients.
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y=-1+ the square root of 9x-9
identify the domain and range
Answer:f(x)=−9x+11
Step-by-step explanation:
what 4a+7b+5a-b please sorry
Answer:
Step-by-step explanation:
Its 46
46
happy valentines day!
125 = 7m - 1 please answer
Answer:
m=18
Step-by-step explanation: