Answer:
D 18
Step-by-step explanation:
(4x - 6)
(x+6y)”
Solve for y
Hey there!
(4x - 6)(x + 6y)
= (4x - 6)(1x + 6y)
= 4x(1x) + 4x(6y) - 6(1x) - 6(6y)
= 4x^2 + 24xy - 6x - 36y
Therefore, your answer is:
4x^2 + 24xy - 6x - 36y
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A bar of steel 340 cm long
Answer:
ok, and?
Step-by-step explanation:
order the numbers from least to greatest
7,5/6,2/3,0,-1/2,4/5
The probability of a particular event occurring, given that another event has occurred, is known as a(n) _______.
Multiple Choice
a. empirical probability
b. joint probability
c. tree diagram
d, conditional probability
The probability of a particular event occurring is
d. conditional probability.
How to find the probability of a particular event occurring?d. conditional probability.
Conditional probability is defined as the probability of an event occurring given that another event has occurred.
It is the probability of one event happening, given that we already know that another event has happened.
This type of probability is used when there is some additional information available that affects the likelihood of the event occurring.
For example, let's say we have a deck of cards with 52 cards in total, including 13 hearts. If we draw a card at random from the deck, the probability of getting a heart is 13/52 or 1/4.
However, if we know that the first card drawn was a heart and not replaced, the probability of drawing another heart from the deck will change because there are now only 12 hearts left out of 51 cards.
The probability of drawing another heart in this case will be 12/51, which is a conditional probability.
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Krissy ran three miles one morning she ran the first mile in 11. 74 minutes the second mile in 11. 26 minutes in the third mile in 12.12 minute rounded to the nearest hundredth what is the total number of minutes that it took krissy to run these three miles?
Answer:
Step-by-step explanation:
Givens
Time 1 = 11.74
Time 2 = 11.26
Time 3 = 12.12 Add
Solution
11.74 + 11.26 + 12.12 =
Total Time = 35.12
35.12 miles is the total number of minutes that it took krissy to run these three miles.
What is a simple definition of time?
The measured or measurable period during which an action, process, or condition exists or continues : duration. b : a nonspatial continuum that is measured in terms of events which succeed one another from past through present to future.
Krissy ran three miles one morning she ran the first mile in time 1 = 11.74
Krissy ran three miles one morning she ran the first mile in time 2 = 11.26
Krissy ran three miles one morning she ran the first mile in time 3 = 12.12
To get total time , we have to add all the time 1,2,3
Total time = Time1 + Time2 + Time3
= 11.74 + 11.26 + 12.12
Total Time = 35.12 miles
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which of the following becomes key indicator of whether or not a hypothesis can be supported? a. chi-square b. degrees of freedom c. significance level d. critical value
The significance level is the key indicator of whether or not a hypothesis can be supported. (option c)
In statistical analysis, there are several key indicators that are used to determine whether a hypothesis can be supported. One of these indicators is the significance level, which is denoted by the symbol alpha (α).
Another key indicator is the critical value, which is a value that is determined from a statistical distribution and is used to determine whether the observed data is statistically significant.
The test compares the observed frequencies of the categories to the expected frequencies, assuming that there is no association between the variables. The degrees of freedom refer to the number of categories minus one.
Therefore, to answer the original question, option (c)
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Which of the following best describes the diagonal cross-section of a basketball?
Rectangle
Circle
Triangle
Square
Answer:
circle
Step-by-step explanation:
the answer is circle!!!
The diagonal cross-section of a basketball is Circle.
What is diagonal cross-section of sphere?When a plane cuts a sphere from any point on it, we get a circle. The size of the cross section may vary depending on the point of intersection of plane and sphere. If the plane passed through the center of sphere, then it divides the sphere into two equal parts (i.e. hemisphere).
According to the question
The diagonal cross-section of a basketball
as basketball is sphere in shape
And , The diagonal cross-section of a sphere is Circle.
Hence, The diagonal cross-section of a basketball is Circle.
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Subtract the quotient of U and v from eight
By subtracting the quotient of U and V from eight the equation which we got would be (8V-U)/V.
What is Quotient?The quotient is basically the result of a division.
Given ,
Subtract the quotient of U and v from eight So Let's assume U=9 and V =7
Now , we have to subtract 8 from the quotient of 9.7.
So ,
= 8-9/7
Divide and multiply 8 by 7
= (56/7) -(9/7)
= 47/7
Now make the equation in the u/v form ,
= 8-U/V
= (8V-U)/V
Hence, the equation would be (8V-U)/V.
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Solve this system of equations: y=x-4 y=6x - 10
The system of equations are solved and the value of x and y are 6/5 and -14/5 respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y = x - 4 be equation (1)
y = 6x - 10 be equation (2)
On simplifying , we get
x - 4 = 6x - 10
Subtracting x on both sides , we get
5x - 10 = -4
Adding 10 on both sides , we get
5x = 10 - 4
5x = 6
Divide by 5 on both sides , we get
x = 6/5
So , the value of y = ( 6/5 ) - 4
y = -14/5
Hence , the value of x and y are 6/5 and -14/5 respectively and the equations is solved
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1) When full, a tank contains 1620 gallons of water. Currently, the tank has 648 gallons of water in it. What percent of the full tank is this?
Answer:
The tank is currently 40% (40 percent) full.
Step-by-step explanation:
We can find this by dividing the current fullness (648 gal) by the full tank (1620 gal).
648 / 1620 = 0.4
0.4 = 40%
How do we know to divide 648 by 1620 and not the other way around?
We know this because that we want to know what percent of the full tank is currently full. It's something that you just need to get used to, once you do enough of these types of problems, I'm sure you'll get the hang of it!
Hope I could help you! If I did, it would mean a lot of you could give braniest or even just a thanks :) If I didn't quite answer your question, please let me know and I'll try my best to assist you!
3x ^ 3 - 5x ^ 2 + x and 4x ^ 3 + 2x ^ 2 - 4x
what is the measure of x if you have 4x +x = 180
Answer:
36
Step-by-step explanation:
4x +x = 180
5x=180
x=180/5
x=36
A 12 cm by 20 cm painting hangs in a museum. The museum curator wants to hang other paintings in the gallery that are proportional in size. The dimensions of several paintings are shown. Which paintings' dimensions are proportional to the original painting? Select all that apply. A. 1.5 cm by 2.5 cm B. 27 cm by 45 cm C. 9 cm by 15 cm D. 30 cm by 50 cm E. 6 cm by 14 cm
Answer:
A. 1.5 cm by 2.5 cm
B. 27 cm by 45 cm
C. 9 cm by 15 cm
D. 30 cm by 50 cm
Step-by-step explanation:
The dimensions of the original painting = 12 cm by 20 cm painting
Hence, the proportion is:
12/20 = 0.6
Hence, we compare the options given in the question.
A. 1.5 cm by 2.5 cm
= 1.5/2.5 = 0.6 , option A is correct
B. 27 cm by 45 cm
27cm/45 cm = 0.6 Option B is correct
C. 9 cm by 15 cm
9cm/15cm = 0.6 , Option C is correct
D. 30 cm by 50 cm
30 cm /50 cm = 0.6 Option D is correct
E. 6 cm by 14 cm
6cm/14 cm = 0.4285714286
Option E is not correct
Therefore, Options A to D are the correct options
the square mil area for a 2 inch wide by 1/4 inch thick copper busbar = ? square mils.
The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.
How to find the square mil area of a copper busbar?To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.
1 inch = 1000 mils
So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils
And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils
Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.
Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.
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Write 72/50 as a percentage.
Answer:
144%
Step-by-step explanation:
I hope this helps you
You are asked to draw a triangle with side lengths of 8 inches and
10 inches. What is the longest whole number length that your third
side can be?
Hint: set up 4 triangles with measures below to test which will
make a triangle:
8in. 10in, 17 in
8in, 10in, 18in
8in, 10in, 20in
8in, 10in 21 in
18
17
21
20
Answer: 8in. 10in. 17in.
Step-by-step explanation:
The sum of the lengths of sides a, c must be greater than the length of the remaining side b.
Stephanie is driving a new route from her house to her job, which is 12 1⁄4 miles away. On this route, she will pay a toll every 3 1⁄2 miles, and the cost of each toll is $1.35.
1. How many tolls will Stephanie pay?
2. What is the total cost of a one-way trip?
There are 3 tolls where Stephanie pays $ 4.05.
What is Distance?The distance between two points is the length of the path connecting them.
Here,
Distance covered by Stephanie = 12 1/4 miles
= 12.25 miles
Distance between two toll tax = 3 1/2 miles
= 3.5 miles
Number of Tolls = Total distance covered / Distance between two tolls
= 12.25 / 3.5
= 3.5
≈ 3 tolls.
Cost of 1 toll = $ 1.35
Total amount paid on toll = 3 X 1.35
= $ 4.05
Thus, there are 3 tolls where Stephanie pays $ 4.05.
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What integer represents √ 4
Answer:
2 is the answer
Step-by-step explanation:
the square root of 4 is 2... right?
Using integration by parts, rewrite the following integral as fudv = uv-fvdu [in (2x) e 4x² dx
To rewrite the integral ∫(2x)\(e^{4x^{2} }\)dx using integration by parts, we'll consider the function f(x) = (2x) and g'(x) = \(e^{4x^{2} }\).
Integration by parts states that ∫u dv = uv - ∫v du, where u and v are functions of x.
Let's assign:
u = (2x) => du = 2 dx
dv = \(e^{4x^{2} }\) dx => v = ∫\(e^{4x^{2} }\) dx
To evaluate the integral of v, we need to use a technique called the error function (erf). The integral cannot be expressed in terms of elementary functions. Hence, we'll express the integral as follows:
∫\(e^{4x^{2} }\) dx = √(π/4) × erf(2x)
Now, we can rewrite the integral using integration by parts:
∫(2x)\(e^{4x^{2} }\) dx = uv - ∫v du
= (2x) × (√(π/4) × erf(2x)) - ∫√(π/4) × erf(2x) × 2 dx
= (2x) × (√(π/4) × erf(2x)) - 2√(π/4) × ∫erf(2x) dx
The integral ∫erf(2x) dx can be further simplified using substitution. Let's assign z = 2x, which implies dz = 2 dx. Substituting these values, we get:
∫erf(2x) dx = ∫erf(z) (dz/2) = (1/2) ∫erf(z) dz
Therefore, the final expression becomes:
∫(2x)\(e^{4x^{2} }\) dx = (2x) × (√(π/4) × erf(2x)) - √(π/2) × ∫erf(z) dz
Please note that the integral involving the error function cannot be expressed in terms of elementary functions and requires numerical or tabulated methods for evaluation.
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if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen?
There are 69300 possible ways of selecting six bottles randomly with two bottles of each variety.
Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. In the given question, we have to select 6 bottles randomly with two bottles of each variety,
= ¹⁰C₂× ⁸C₂ × ¹¹C₂
¹⁰C₂= [1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10] / [(1 × 2)(1 × 2 × 3 × 4 × 5 × 6 × 7 × 8)]
= 90/2
= 45
Similarly, ⁸C₂ = 28
In the same way ¹¹C₂= 55
= ¹⁰C₂× ⁸C₂× ¹¹C₂
= 45 × 28 × 55
= 69300
Therefore, there are 69300 possible ways of selecting 6 bottles with two bottles of each variety.
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Leslie has 6 bags of marbles. Each bag has 16 marbles. If
1
3
3
1
of the marbles are purple, how many purple marbles does Leslie have?
The quantity of purple marbles that Leslie has would be = 32 purple marbles.
How to calculate the quantity of purple marbles Lesile have?The number of bags of marbles that Leslie has = 6 bags.
The quantity of marbles that is found in each bag = 16 marbles.
Therefore the total number of marbles = 6× 16 =96 marbles.
The fraction of purple marbles that Leslie has = 1/3 of 96
Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32
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Complete question:
Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?
Solve the second-order linear differential equation xy′′ + 2y′ = 12x^2 With the initial values y′(0) = 1 and y(0) = 2.
The solution to the differential equation with the given initial conditions is:
y = 2x^3 - 3x^2 + 3x
To solve the differential equation xy′′ + 2y′ = 12x^2, we first divide both sides by x:
y′′ + (2/x)y′ = 12x
This is a second-order linear differential equation with variable coefficients. To solve it, we can use the method of undetermined coefficients. We first find the general solution to the homogeneous equation:
y′′ + (2/x)y′ = 0
We assume a solution of the form y = x^r, where r is a constant. Then, we have:
y′ = rx^(r-1)
y′′ = r(r-1)x^(r-2)
Substituting these expressions into the differential equation, we get:
r(r-1)x^(r-2) + 2rx^(r-2) = 0
Factoring out x^(r-2), we get:
x^(r-2)(r^2 + r) = 0
The characteristic equation is therefore r^2 + r = 0, which has roots r = 0 and r = -1. The general solution to the homogeneous equation is therefore:
y_h = c1 + c2/x
where c1 and c2 are constants.
To find a particular solution to the nonhomogeneous equation, we assume a solution of the form y_p = Ax^3 + Bx^2 + Cx + D, where A, B, C, and D are constants to be determined. Then, we have:
y′ = 3Ax^2 + 2Bx + C
y′′ = 6Ax + 2B
Substituting these expressions into the differential equation, we get:
6Ax^2 + 2Bx + 2(x(3Ax^2 + 2Bx + C)/x) = 12x^2
Simplifying and equating coefficients, we get:
6A = 12
6A + 4B = 0
2B + 2C = 0
Solving these equations, we get:
A = 2
B = -3
C = 3
Therefore, a particular solution to the nonhomogeneous equation is:
y_p = 2x^3 - 3x^2 + 3x
The general solution to the differential equation is therefore:
y = y_h + y_p = c1 + c2/x + 2x^3 - 3x^2 + 3x
To find the values of c1 and c2, we use the initial conditions y′(0) = 1 and y(0) = 2. From the expression for y′, we have:
y′(0) = 3C = 1
Therefore, C = 1/3. From the expression for y, we have:
y(0) = c1
Therefore, c1 = 2. To find c2, we differentiate the expression for y with respect to x:
y′ = -c2/x^2 + 6x^2 - 6x + 1/3
Using the initial condition y′(0) = 1, we get:
1 = 6
This is a contradiction, which means that there is no value of c2 that satisfies the initial conditions. Therefore, the solution to the differential equation with the given initial conditions is:
y = 2x^3 - 3x^2 + 3x
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find the greatest commom factor gcf for each pair of numbers
9 and 33
Answer:
3
Step-by-step explanation:
Find the prime factorization of 9
9 = 3 × 3
Find the prime factorization of 33
33 = 3 × 11
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3
Chris said that a triangle takes up 1/2 the space of a rectangle, so the formula for finding the area of a triangle should be 1/2 x Base x Height. Is Chris correct?
Answer:
Yes
Step-by-step explanation:
how many ounces are in 750 ml
750 mL is equivalent to 25.36 oz.
When measuring liquids, the metric system and the US customary system are commonly used. In the metric system, the standard unit of measurement for liquids is milliliters (mL) and in the US customary system, it's ounces (oz).
To convert between these units, you can use a conversion factor.
One way to convert mL to oz is to use the conversion factor of 1 oz = 29.5735 mL. To find the number of ounces in 750 mL, you can use this conversion factor to set up an equation:
750 mL = x oz
Where x is the number of ounces you want to find. To solve for x, you can divide both sides of the equation by the conversion factor:
x = 750 mL / 29.5735 mL/oz
x = 25.36 oz
It's important to note that this is an approximation and for more accurate measurements, you should use an online calculator or consult a chart.
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If triangle ABC is first reflected across the x-axis, and then rotated 90 degrees couter-clockwise, where will Point A' and Point A'' be located if Point A is located at (3,-5)?
PLEASE ANSWERRRR PLEASEEE!!! I WOULD GREATLY APPRECIATE ITTTTT.
Answer:
the answer is 3,5 for A' and 5,3 A''
Step-by-step explanation:
when you reflect across the x axis the formula becomes x, -y its already negative and 2 negatives equals a positive then when you rotate it 90 degrees you make the formula y, x and that's how you get 5, 3
also kind of weird I had this exact same question like even the same typo you from cisd
we are willing to regard the wood pieces prepared for the lab session as an srs of all similar pieces of douglas fir. engineers also commonly assume that characteristics of materials vary normally. make a graph to show the shape of the distribution for these data. does it appear safe to assume that the normality condition is satisfied?
If the histogram shows a bell-shaped curve and the normality test (if performed) supports the normality assumption, it appears safe to assume that the normality condition is satisfied for the wood pieces prepared for the lab session, considering them as an SRS of all similar pieces of Douglas fir.
To determine if the normality condition is satisfied, you can follow these steps:
1. Organize the data: Collect the measurements for the characteristics of the wood pieces in your sample (such as density, strength, etc.) and organize them in a list or a table.
2. Create a frequency distribution: Calculate the frequencies of the different measurements and arrange them in a frequency distribution table.
3. Plot a histogram: Using the frequency distribution, create a histogram to visually represent the data. The x-axis represents the measurements and the y-axis represents the frequency.
4. Evaluate the shape of the histogram: Examine the shape of the histogram to determine if it resembles a normal distribution. A normal distribution is characterized by a bell-shaped curve, which is symmetrical around the mean value.
5. Conduct a normality test (optional): If you want to statistically confirm the normality of the data, you can perform a normality test, such as the Shapiro-Wilk test or the Kolmogorov-Smirnov test.
For the wood pieces manufactured for the lab session, using them as an SRS of all comparable pieces of Douglas fir, it is acceptable to infer that the normality criterion is satisfied if the histogram displays a bell-shaped curve and the normality test (if performed) confirms the normality assumption.
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Researchers at a medical center studied the amount of caffeine, in milligrams (mg), contained in a 16-ounce cup of coffee made at one machine at the center's cafeteria. They selected a random sample of 40 16-ounce cups of coffee made at different times of the day during a one-month period. The mean and standard deviation of the amount of caffeine in the sample were 159.88 mg and 36.72 mg, respectively. A graph of the sample data revealed a night skew with one outlier. The researchers will construct a confidence interval to estimate the amount of caffeine for all 16 ounce cups made at the machine
Which of the following conditions is not needed for the inference?
A)The samples were selected at random
B)The observations are independent of one another.
C)The sample size of 40 is less than 10% of the population size
D) The graph of the sample data is symmetric with no outliers
The sample size is large enough to assume that the sampling distribution of sample means is approximately normal
The condition that is not needed for the inference in this case is D) The graph of the sample data is symmetric with no outliers.
While it is generally desirable to have a symmetric distribution without outliers for making statistical inferences, it is not a necessary condition. The central limit theorem states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution, as long as certain conditions are met (such as random sampling and independence of observations). Therefore, the shape of the sample data distribution and the presence of outliers do not affect the validity of constructing a confidence interval based on the sample mean.
However, the condition that is not needed for the inference is D) The graph of the sample data is symmetric with no outliers. While a symmetric distribution without outliers can make it easier to construct a confidence interval, it is not a necessary condition for inference. The other conditions listed (random sampling, independence, sample size less than 10% of population size, and a large enough sample size) are all necessary for inference.
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Find the surface area of a cylinder with a base diameter of 4 yd and a height of 9 yd . Use the value 3.14 for π , and do not do any rounding. Be sure to include the correct unit.
The surface area of a cylinder with a base diameter of 4 yd and a height of 9 yd is 113.04 yd².
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
We know, The surface area of a cylinder is 2πrh, where 'h' is the height and 'r' is the diameter.
So, The radius is = (4/2) = 2 yd.
Therefore, The surface area of the cylinder is.
= 2π×2×9 yd².
= 36π yd².
= 113.04 yd².
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Daniella and her 10 friends are collecting shells on the beach to make crafts. After
they have collected the shells and put them in a pile, they split them evenly among
the group. Each person gets 4 shells. How many shells did they collect as a group?
Select the correct equation and solve for s.
4+ s = 11; s = 7
s/10 = 4; s = 40
4s = 11; s = 2.75
s/11 = 4; s = 44
Daniella and her friends collected a total of 44 shells.
What is linear equation ?
Linear equation can be defined as equation in which highest degree is one.
Given ,
Daniella and her 10 friends are collecting shells on the beach to make crafts.
After they have collected the shells and put them in a pile, they split them evenly among the group. Each person gets 4 shells.
The correct equation for this problem is:
s = 11 x 4
where s is the total number of shells collected.
Simplifying this equation, we have:
s = 44
Therefore, they collected a total of 44 shells.
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