Select all of the following that are quadratic equations.

A. 5 x 2+ 15 x = 0
B. 6 x - 1 = 4 x + 7
C. x 2 - 4 x = 4 x + 7
D. 2 x - 1 = 0
E. 3 x 2 + 5 x - 7 = 0
F. x 3 - 2 x 2 + 1 = 0

Answer:

G and D

Step-by-step explanation:

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

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The total number of $12 tickets are 120 while the $15 tickets are 180.

In addition to using operational signs, algebraic expressions also include numbers and variables. Examples include multiplication, multiplication with the natural exponent, division, and addition, subtraction, and exponentiation. The term "fractional expression" refers to division in an algebraic expression with variables.

The term "rational numbers" refers to numbers that can be expressed as fractions. Integers, repeating decimals, and terminating decimals are a few examples.

Given that x stands for $12 tickets and y stands for $15 given as the equation

12x + 15y = 4140

x + y = 300

y = 300 - x

Substitute the value of y in the first equation

12x + 15(300 - x) = 4140

12 x + 4500 - 15x = 4140

12x - 15x = 4140 - 4500

-3x = −360

x = 360/3

x = 120

y = 300 - (120)

y = 180

Thus, The total number of $12 tickets are 120 while the $15 tickets are 180.

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Answer:

d or c

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Since the formula for grid's are y by x Y=2 X=5 put them as a fraction there you have 2/5 as I think it is

Answer:

The first step is -3.2 + 2 - 7

a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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Answer:

h(x) = 5x² - 35x + 60

Step-by-step explanation:

Given the zeros are 3 and 4 then the corresponding factors are

(x - 3) and (x - 4), then

h(x) = 5(x - 3)(x - 4) ← expand factors using FOIL

       = 5(x² - 7x + 12) ← distribute by 5

       = 5x² - 35x + 60 ← in standard form

Answer:

The ratio should be 100 : 20. If it needs to be simplified then 5:1

Step-by-step explanation:

100 m is the distance traveled and the time it took was 20 seconds. Divide both sides by 20 and you get 5:1

(If it doesn't need to be simplified then 100 : 20)

fractions with the same denominator added together

You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.

What are the parts of fraction?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.

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The Unit-Price for first-bag is $1.72/kg and for second-bag is $1.86/kg, then the first-bag is cheaper compared to the second-bag with a unit-price.

The "Unit-Price" refers to the cost of dog food per kilogram. It is calculated by dividing the "total-cost" of the bag of dog-food by its weight in kilograms.

⇒ For the first bag of dog food:

The Cost is = $10.47,

The Weight is = 6.08 kg,

So, the Unit-Price is = Cost/Weight = $10.47/6.08 kg ≈ $1.72/kg,

⇒ For the second bag of dog food:

The Cost is = $13.88,

The Weight is = 7.48 kg,

So, the Unit Price will be = Cost/Weight = $13.88/7.48 kg ≈ $1.86/kg,

Based on the "unit-prices" calculated, the first bag of dog food has a unit price of $1.72 per kilogram, and the second bag has a unit price of $1.86 per kilogram.

Therefore, the first bag of dog food is the better-buy as it is cheaper compared to the second bag.

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The given question is incomplete, the complete question is

Justin paid $10.47 for a 6.08-Kg bag of dog food.  A few weeks later, he paid $13.88 for a 7.48-kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price.

The number 7 emerged in human history through cultural and mathematical developments.

The significance of the number 7 can be observed in various aspects of human history. One of the earliest instances is found in ancient Mesopotamia, where the Sumerians developed a base-60 numeral system called sexagesimal.

This system contributed to the use of 60 as a highly divisible number and influenced the concept of dividing the day into 24 hours, each consisting of 60 minutes.

In ancient Egypt, the division of the week into seven days was based on the observation of celestial bodies.

The Egyptians associated each day with a different planet or celestial object, namely Sunday (Sun), Monday (Moon), Tuesday (Mars), Wednesday (Mercury), Thursday (Jupiter), Friday (Venus), and Saturday (Saturn). These planetary associations were later adopted by the Romans, and their names in English still reflect these origins.

The number 7 also holds religious and symbolic significance. In Judaism, the seventh day of the week, Saturday, is considered a day of rest, known as the Sabbath.

This tradition is rooted in the biblical story of creation, where God rested on the seventh day. In Christianity, the Book of Genesis describes the world being created in six days, with the seventh day being designated as holy.

Furthermore, the number 7 appears in mathematics and geometry. The seven colors of the rainbow, the seven musical notes, and the seven wonders of the ancient world are all examples of the cultural significance attributed to this number.

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Answer:

x ≈ 46.9

Step-by-step explanation:

using the sine ratio in the right triangle

sin54° = \(\frac{opposite}{hypotenuse}\) = \(\frac{KL}{KM}\) = \(\frac{x}{58}\) ( multiply both sides by 58 )

58 × sin54° = x , then

x ≈ 46.9 ( to the nearest tenth )

Tthe value of the definite integral ∫from 5 to 1 1/x^2 dx = 4/5.

Evaluate the definite integrals,

a) ∫from 8 to 1 (1/x) dx:

So, the value of the definite integral ∫from 8 to 1 (1/x) dx = -ln(8).

b) ∫from 5 to 1 1/x^2 dx:

Tthe value of the definite integral ∫from 5 to 1 1/x^2 dx = 4/5.

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Each statement about integer is:

Statement A: If positive is subtracted from a negative integer, the difference is negative integer.

This statement is sometimes true.

If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer. For example, if -5 is subtracted from -3, the difference is -8, which is a negative integer. However, if -3 is subtracted from -5, the difference is 2, which is a positive integer. The difference sign depends on which value is the bigger one.

Statement B: If a positive integer is subtracted from a positive integer, the difference is a positive integer.

This statement is sometimes true.

If a positive integer is subtracted from a positive integer, the difference can be a positive integer or a negative integer. For example, if 3 is subtracted from 5, the difference is 2, which is a positive integer. However, if 5 is subtracted from 3, the difference is -2, which is a negative integer.

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a) The equation for the number of fish after t years is:

P(t) = 5300 / [1 + 12.75 * exp(-0.512 * t)]

b) It will take about 3.57 years for the population to increase to 2650 (half of the carrying capacity)

From the question, we are to write an equation for the number of fish after t year and calculate how long will it take for the population to increase to 2650

a) The growth of the fish population can be modeled using the logistic growth equation:

P(t) = K / [1 + A * exp(-r * t)]

Where P(t) is the number of fish at time t

K is the carrying capacity

r is the growth rate

and A is a constant related to the initial conditions.

To find A and r, we can use the information given:

At t = 0, P(0) = 400

At t = 1, P(1) = 570

Substituting these values into the logistic growth equation and solving for A and r, we get:

A = (K / P(0)) - 1 = (5300 / 400) - 1 = 12.75

r = ln[(P(1) / P(0)) / (1 + A * (P(1) / P(0) - 1))]

= ln[(570 / 400) / (1 + 12.75 * (570 / 400 - 1))] = 0.512

Thus,

The equation for the number of fish after t years is:

P(t) = 5300 / [1 + 12.75 * exp(-0.512 * t)]

b) We can use the logistic growth equation to find the time it takes for the population to reach half the carrying capacity:

2650 = 5300 / [1 + 12.75 * exp(-0.512 * t)]

Solving for t, we get:

t = (1 / 0.512) * ln(12.75 / (12.75 - 1))

= 3.57 years

Hence, it will take about 3.57 years for the population to increase to 2650 fish.

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Answer:

4

Step-by-step explanation:

6 - 10 = -4

The absolute value of -4 is 4.

The probability that at least one of the expectant mothers will have a cesarean delivery is 0.9394.

Probability is the likelihood that something will happen. Based on the information, about 33% of u.s. births are cesarean deliveries.

The number (n) is also given as 7.

p = 33% = 0.33

n! / (n – r)!

N is the number of things you are choosing from,

r is the number of items.

P(x:n,p) = ⁿCˣ x pˣ(1-p)ⁿ⁻ˣ

n is the number of trials (occurrences)

X is the number of successful trials

p is probability of success in a single trial

ⁿCₓ is the combination of n and x

Therefore, the probability will be:

= 1 - P(no mother will have a Caesarean section)

= 1 - P(X = 0)

= 1 - ⁷C₀ (0.33)^0(0.67)^7

= 1 - 0.0606

= 0.9394

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Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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The example that involves paired data is not among the group of answer choices, as the given example involves two separate random samples, rather than pairs of measurements taken from the same individuals.

Based on your question, the example involving paired data is:
A study compared the average number of courses taken by a random sample of 100 freshmen at a university with the average number of courses taken by a separate random sample of 100 freshmen at a community college.

Paired data occurs when the observations in one dataset can be directly paired with observations in another dataset, usually because they are related in some way.

In this example, the paired data comes from comparing the average number of courses taken by freshmen at two different types of educational institutions (a university and a community college).

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The most important details in this text are the calculation of Stock A's beta and the calculation of Stock A's new required rate of return if beta were 1.1. Beta is calculated using the equation of (Cov(Ra,Rm))/(Var(Rm)) where Ra = rate of return for Stock A, Rm = rate of return for the stock market, Cov(Ra,Rm) = covariance of Ra and Rm, and Var(Rm) = variance of Rm. If beta were 1.1, the new required rate of return for Stock A would be 12.7%.

a. Calculation of Stock A's beta:Beta (β) is used to evaluate the volatility of a stock relative to the stock market. A beta of 1.0 indicates that a stock has the same level of volatility as the entire stock market. Beta can be used to determine the degree of risk associated with a particular investment, and it can be calculated using the following equation:\($$\beta = \frac{Cov(R_a,R_m)}{Var(R_m)}$$\)

whereRa = rate of return for Stock A, Rm = rate of return for the stock market, Cov(Ra,Rm) = covariance of Ra and Rm, and Var(Rm) = variance of Rm.Given that, raF= 5%, ry= 12%, and rA = 13%.

Let us determine Stock A's beta.

Beta (β) =  (Cov(Ra,Rm))/(Var(Rm))

Given that Rm = ry = 12%Ra = rA = 13% Cov(Ra,Rm) = (Ra - raF) * (Rm - ry)Cov(Ra,Rm) = (0.13 - 0.05) * (0.12 - 0.05)Cov(Ra,Rm) = 0.0072Var(Rm) = (ry - raF)²Var(Rm) = (0.12 - 0.05)²Var(Rm) = 0.00049

Therefore, the beta for Stock A can be calculated as follows:

β =  (Cov(Ra,Rm))/(Var(Rm))

β = (0.0072)/(0.00049)

β = 14.69

Rounding β to two decimal places, we get Beta for Stock A = 14.69. Thus, the beta for Stock A is 14.69.b. Calculation of Stock A's new required rate of return:We need to determine Stock A's new required rate of return if beta were 1.1.The security market line (SML) can be used to determine a stock's required rate of return. The SML represents the required rate of return for a given level of risk (beta) in the market as a whole.

The SML can be represented by the following equation:\($$r_a = r_f + \beta*(r_m - r_f)$$\)

whereRa = required rate of return for Stock A, Rf = risk-free rate of return, Rm = expected market return, and β = beta of Stock A.Given that, Rf = raF = 5%, Rm = ry = 12%, and β = 1.1.Using the formula above, we can determine the new required rate of return for Stock A as follows:

r_a = r_f + β*(r_m - r_f)r_a

= 0.05 + 1.1*(0.12 - 0.05)r_a

= 0.05 + 1.1*0.07r_a

= 0.05 + 0.077r_a

= 0.127

Thus, if Stock A's beta were 1.1, the new required rate of return for Stock A would be 12.7%.

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The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

a) Non car si le fils a 10 ans la mère a 30 ans et le père 33 or 10+30+33=73

b) Oui car si le fils a 12 ans la mère a 36 ans et le père 39 et 12+36+39=87

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

the length of arc YPX is calculated as

YPX = circumference of circle × fraction of circle

the central angle of arc XY = 90° , then

central angle of arc YPX = 360° - 90° = 270°

YPX = 2πr × \(\frac{270}{360}\) ( r is the radius )

       = 2π × 8 × \(\frac{3}{4}\)

       = 16π × \(\frac{3}{4}\)

       = 4π × 3

       = 12π m

Answer:

Hi the answer to that question is 2

the ratio of feet to yards is:

Now, the proportion to find the equivalent yards for 9 feet is:

Let's solve for x:

Therefore, 9 feet=3 yards.