What is the value of x=yx if x=6?

Hello!

Let the number be x.

We multiply it by 5:

5x

Subtract 3:

5x-3

Hope it helps. Ask me if you have any query.

~An excited gal

\(MagicalNature\) here to  help

Answer:

33

Step-by-step explanation:

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Based on Mary's findings, she should say that there is a correlation between playing time and the number of goals scored. However, there may or may not be causation, and further studies would need to be done to determine this. It is important to note that just because there is a correlation between the two variables (playing time and number of goals), it does not necessarily mean that one causes the other. In this case, Mary found that a decrease in playing time implies a decrease in the number of goals scored. Therefore, there is a correlation between the two variables, but there may be other factors at play that affect a player's ability to score goals.

b. There is a correlation between playing time and number of goals. There may or may not be causation. Further studies would have to be done to determine this.

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At the equilibrium price, the price elasticity of demand (PED) is approximately 13.845 and the price elasticity of supply (PES) is approximately 0.834.

To find the elasticities at the equilibrium price, we first need to determine the equilibrium price itself. This occurs when the quantity demanded (Od) equals the quantity supplied (Os).

Setting Od equal to Os, we have:

25 - 3P + 0.2P^2 = -5 + 3P - 0.01P^2

Simplifying the equation, we get:

0.21P^2 - 6P + 30 = 0

Solving this quadratic equation, we find that the equilibrium price is P = 28.57.

Now, let's calculate the elasticities at the equilibrium price.

Price Elasticity of Demand (PED):

PED = (% change in quantity demanded) / (% change in price)

At the equilibrium price, PED can be calculated as the derivative of Od with respect to P, multiplied by P divided by Od.

PED = (dOd/dP) * (P/Od)

Taking the derivative of Od with respect to P, we have:

dOd/dP = -3 + 0.4P

Substituting the equilibrium price (P = 28.57) into the equation, we get:

dOd/dP = -3 + 0.4(28.57) = 6.228

Now, let's calculate Od at the equilibrium price:

Od = 25 - 3(28.57) + 0.2(28.57^2) = 12.857

Substituting the values into the PED formula, we get:

PED = (6.228) * (28.57/12.857) = 13.845

Price Elasticity of Supply (PES):

PES = (% change in quantity supplied) / (% change in price)

At the equilibrium price, PES can be calculated as the derivative of Os with respect to P, multiplied by P divided by Os.

PES = (dOs/dP) * (P/Os)

Taking the derivative of Os with respect to P, we have:

dOs/dP = 3 - 0.02P

Substituting the equilibrium price (P = 28.57) into the equation, we get:

dOs/dP = 3 - 0.02(28.57) = 2.286

Now, let's calculate Os at the equilibrium price:

Os = -5 + 3(28.57) - 0.01(28.57^2) = 78.57

Substituting the values into the PES formula, we get:

PES = (2.286) * (28.57/78.57) = 0.834

Therefore, at the equilibrium price, the price elasticity of demand (PED) is approximately 13.845 and the price elasticity of supply (PES) is approximately 0.834.

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To find the product, we need to first factor the numerators and denominators of both fractions:

x^2 + 9x + 20 = (x + 5)(x + 4)

x^2 - x - 12 = (x - 4)(x + 3)

x^2 + 3x - 4 = (x + 4)(x - 1)

Substituting these into the expression, we get:

[(x + 5)(x + 4)/(x + 3)] * [(x - 4)(x + 3)/(x + 4)(x - 1)]

Now, we can simplify the product by cancelling out common factors:

[(x + 5) * 1/(x - 1)] * [(x - 4) * 1/1]

= (x + 5)(x - 4)/(x - 1)

So the product in simplest form is (x + 5)(x - 4)/(x - 1).

However, there is a restriction on the variable because the expression involves division by (x + 3), (x - 1), and (x - 4). Therefore, x cannot be equal to -3, 1, or 4, since these values would make the denominators zero and the expression undefined.

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The yearly exponential model for the population of bats is C'(t) = 8500 · 1.1ⁿ and the quarterly percentage rate is 2.41 %.

In this question we must determine the exponential model that represents the population of bats, whose model is shown below:

C'(t) = C · (1 + r / 100)ⁿ

Where:

The yearly exponential model is represented by: (C = 8500, r = 10)

C'(t) = 8500 · 1.1ⁿ

The quarterly rate of change can be found by using the following expression:

(1 + 10 / 100) = (1 + r' / 100)⁴

1.1 = (1 + r' / 100)⁴

1 + r' / 100 = 1.024

r' / 100 = 0.02411

r' = 2.411

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Answer:

-----------------------------

We see that the hypotenuse is twice the length of one of the legs in the given right triangle:

It is possible when this is a special 30°-60°-90° triangle and the angle opposite to same leg is 30°.

So y = 30°, then x is complementary angle:

Answer:

x = 73/12

Step-by-step explanation:

Given:

\(\displaystyle \large{12(x-7)=-11}\)

Distribute 12 in x-7:

\(\displaystyle \large{12x-84=-11}\)

Add both sides by 84:

\(\displaystyle \large{12x-84+84=-11+84}\\\displaystyle \large{12x=73}\)

Divide both sides by 12:

\(\displaystyle \large{\dfrac{12x}{12}=\dfrac{73}{12}}\\\displaystyle \large{x=\dfrac{73}{12}}\)

Therefore, the solution is x = 73/12

Answer:

\(\large\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}\)

Step-by-step explanation:

\(12(x - 7) = -11\)

Multiply 12 by x & 7 (distributive property) in the left hand side of the equation .

\(12(x-7)=-11\\(12*x)-(12*7)=-11\\12x - 84 =-11\)

Bring -84 to the right hand side of the equation. Then,

\(12x = -11 + 84\\12x = 73\\x=\frac{73}{12} \\\\\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}\)

\(\rule{150pt}{2pt}\)

The winner, and the point amount would be C. Caleb, with 47 points

The Borda Count method assigns points to candidates based on their ranking in each voter's preference schedule. If there are three candidates, then the first preference gets 3 points, the second preference gets 2 points, and the third preference gets 1 point.

Amy's points :

12 votes as 1st preference ( 12 x 3 = 36 points )

2 votes as 3rd preference (2 x 1 = 2 points)

Total = 36 + 2 = 38 points

Brenda's points :

8 votes as 1st preference ( 8 x 3 = 24 points )

12 votes as 3rd preference ( 12 x 1 = 12 points )

Total = 24 + 12 = 36 points

Caleb (C):

2 votes as 1st preference ( 2 x 3 = 6 points )

8 votes as 2nd preference ( 8 x 2 = 16 points )

12 votes as 2nd preference ( 12 x 2 = 24 points )

Total = 6 + 16 + 24 = 46 points

Closest option is option C which makes Caleb the winner.

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The inequality can be simplified to:

-7 < x < 3

And the graph can be seen in the image at the end.

Here we have the inequality:

|x + 2| + 1 > 6

To solve this, we need to isolate the variable x, so if we first subtract 1 we get:

|x + 2| +1 - 1 > 6 - 1

|x + 2| > 5

The absolute value part can be decomposed into two.

-5 < x + 2 < 5

Now we can subtract 2 in all the inequality, so we get:

-5 - 2 < x + 2 - 2 < 5 - 2

-7 < x < 3

The graph of this can be seen below

A distribution is a way of displaying data, consisting of three primary components: shape, center, and spread. The shape is the overall pattern of the distribution, while the center is the point where the distribution is balanced. The spread is the range of values of the data, often measured by the standard deviation or the interquartile range (IQR). The distribution can be visualized through graphs like histograms, box plots, or scatter plots.

A brief description of a distribution should include its shape, center, and spread. The spread is the term that should be included in the blank space.A distribution can be described as a way of displaying data. It gives us an idea about how the data are spread out.

The three primary components of any distribution are the shape, center, and spread. Shape refers to the overall pattern of the distribution. It tells us whether the data are symmetric or skewed. The symmetry means that the left half of the distribution is a mirror image of the right half, whereas a skewed distribution is not symmetrical. The tail of a distribution describes the spread of a skewed distribution. It refers to the parts of the distribution that extend out from the center of the graph.The center refers to the point where the distribution is balanced. In symmetric distributions, the center is the same as the mean and median. However, in a skewed distribution, the mean and median differ from each other.

The spread refers to the range of values of the data. It tells us how much the data are scattered or spread out. A small spread indicates that the data points are close to each other, while a large spread suggests that the data points are far from each other. It is often measured by the standard deviation or the interquartile range (IQR).The distribution of data can be visualized through different graphs like histograms, box plots, or scatter plots.

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In (30) represents the number of days until the population reaches 30,000, and In(t) = y is the logarithmic form of y = et.

The correct statements are:

In (30) is the number of days until the population reaches 30,000.

In(t) = y is the logarithmic form of y = et.

Explanation:

The graph of y = p(t) does not provide information about the approximation of In (2.3) or In20, so the statements regarding these approximations cannot be determined from the graph.

In (30) represents the number of days until the population reaches 30,000 because In(t) represents the logarithmic form of the population function, and finding the value of t for a given population is equivalent to finding In (population).

The statement "The value of \(e^4\) is greater than 50, so the value of In (50) is less than 4" is not true. The actual value of\(e^4\)is approximately 54.598, which is greater than 50. Therefore, In (50) would be greater than 4.

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The residual value to the nearest integer and then construct the residual plot of the data will be 25.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Since an album went on sale for the first time at a music retailer six weeks ago, its weekly sales have climbed. The change is described by the linear regression equation y=1.9x+13.3, where x is the week and y is the number of albums sold each week.

The residual value is given as,

y = 1.9(6) + 13.3

y = 11.4 + 13.3

y = 24.7

y ≅ 25

The residual value to the nearest integer and then construct the residual plot of the data will be 25.

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y = 2 ( x + 3/4 )^2 − 25 8

Answer:

\(\boxed{ \ 2(x+\dfrac{3}{4})^2-\dfrac{25}{8}\ }\)

Step-by-step explanation:

we should write this function

\(2x^2+3x-2\)

this way \(a(x-b)^2+c\)

let s check the first terms in\(x^2\) and x

\(2x^2+3x\)

this is the beginning of

    \(2(x+\dfrac{3}{4})^2\)

indeed

   \(2(x+\dfrac{3}{4})^2=2x^2+3x+2(\dfrac{3}{4})^2=2x^2+3x+\dfrac{9}{8}\)

so we can write that

   \(2x^2+3x=2(x+\dfrac{3}{4})^2-\dfrac{9}{8}\)

then

   \(2x^2+3x-2=2(x+\dfrac{3}{4})^2-\dfrac{9}{8}-2=2(x+\dfrac{3}{4})^2-\dfrac{9+16}{8}=2(x+\dfrac{3}{4})^2-\dfrac{25}{8}\)

Answer:

Part B:16.5

Step-by-step explanation:

Answer

b

Step-by-step explanation:

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

C

Step-by-step explanation:

The residual plot give you the most detailed graphical appropriatness

A plot or graph shows the relationship between related variables.

The best graphic to use is the residual plot.

The best graph to plot a linear regression is the scatter plot, because it shows a clear relationship between the variables that are being compared.

From the list of given options, we can say that the residual plot is the best plot to use by the consultant.

This is because, the residual plot is a form of scatter plot that shows the difference between the observed value and the actual value.

In this case, the observed value would be the number of units sold, while the actual value would be the expected number of units to be sold.

Hence, option (c) answers the question.

See attachment for an illustration of the residual plot

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Answer: 16 1/15

23/3+42/5

115/15+126/15

241/15= 16 1/15

I hope this helps:

Answer:

16 1/15

Step-by-step explanation:

Add the whole numbers.  7+8=15

Now, combine the fractions 2/3 and 2/5. To do so, you need a common denominator. The LCD between 3 and 5 is 15.

Whatever you do to one side you must do to the other.

(5/5) 2/3+ 2/5 (3/3)

10/15+6/15=16/15

15+16/15

16/15 is an improper fraction, so convert this fraction to a mixed number.

16/15= 1 1/15

Finally, add the two together. 15+ 1 1/15=

16 1/15

Answer:

multiply the population each year by 4% or 0.04

year 1 increase by 9600, population 249,600

year 2 increase by 9984, population 259,584

year 3 increase by 10,383, 269,967

year 4 increase by 10,799, 280,766

year 5 increase by 11,231, 291,997

year 6 increase by 11,680, 303, 677

Step-by-step explanation:

I rounded the totals.

Using Uniform distribution,

a) the mean of distribution is 75.25 and variance is 13.02.

b) the cdf of depth is (x - 7.5)/12.5 , 7.5<x<19 or 1 if X>19

A random variable X is said to have a continuous rectangular distribution over an interval (a, b), i.e.

(−∞<a<b<∞)

if its probability density function is given by,

F(x) = 1/(b-a) , a<x<b

Let the random variable X represents the depth of the bioturbation layer in sediment in a certain region. From the given information the random variable X is uniformly distributed on the interval [7.5, 19].

mean of the uniform distribution is,

μ=E(X)=(b+a)/2

Let the random variable X follows uniform distribution with parameters (a, b), then the variance of the uniform distribution is,

σ²=V(X)=(b−a)²/12

we have, a = 7.5 , b = 19

a) mean of the uniform distribution( μ) = 19 +(7.5)²

= 75.25

variance of the uniform distribution = (19-7.5)²/12

= (12.5)²/12 = 13.02

b) The cumulative distribution function of the random variable X is,

Fₓ(x) = P(X<x)

=> Fₓ(x) = ₇.₅∫ˣ f(x) dx

=> Fₓ(x) = ₇.₅∫ˣ(1/12.5)dx

=> Fₓ(x) = 1/12.5 ₇.₅[x]ˣ = 1/12.5(x - 7.5)

=>Fₓ(x) = (x - 7.5)/12.5

Therefore, the cumulative distribution function of the depth is,

Fₓ(x) = (x - 7.5)/12.5 , 7.5<x<19 or 1 if X>19 or zero if X<7.5

Hence, we get the mean of distribution is 75.5 and variance is 13.02.

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The average CPI for the processor is 1.95.

To calculate the average CPI (Clock Cycles per Instruction) for a processor with three instruction classes (A, B, and C) having relative frequencies of 45%, 35%, and 20% respectively, and individual CPIs of 1, 2, and 4 respectively, we can use the following formula

Average CPI = (CPI_A * Frequency_A + CPI_B * Frequency_B + CPI_C * Frequency_C) / 100

Given the relative frequencies and individual CPIs, we can substitute the values into the formula:

Average CPI = (1 * 45 + 2 * 35 + 4 * 20) / 100

Average CPI = (45 + 70 + 80) / 100

Average CPI = 195 / 100

Average CPI = 1.95

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a) G(t) = 685.4 * (1 + 0.04)^t, b) G(t) = 685.4 + 4t.

(a) If the gross domestic product (G) of Switzerland increases by 4% per year, we can express it as a function of time (t) in years after 2013. The initial GDP in 2013 is given as 685.4 billion dollars. Since it increases by 4% per year, we can use the following formula: G(t) = 685.4 * (1 + 0.04)^t. Here, (1 + 0.04) represents the growth factor of 4% per year, and t represents the number of years after 2013. (b) If the gross domestic product (G) of Switzerland increases by 4 billion dollars per year, we can express it as a function of time (t) in years after 2013. The initial GDP in 2013 is given as 685.4 billion dollars. Since it increases by 4 billion dollars per year, we can use the following formula: G(t) = 685.4 + 4t. Here, 685.4 represents the initial GDP in 2013, and 4t represents the increase of 4 billion dollars per year.

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If the p-value less than the significance level then we have a type i error.

We know that if your P-value is less than the chosen significance level then you reject the null hypothesis i,e. accept that your sample gives reasonable evidence to support the alternative hypothesis.

Im statistics, a type i error means rejecting the null hypothesis when it's actually true, while type ii error means failing to reject the null hypothesis when it's actually false.

The chance that you commit type i errors is known as the type i error rate or significance level (p-value). This number is conventionally and arbitrarily set to o.o5 or 5%. Type ii errors are like "false negatives", an incorrect rejection that a variation in a test has made no statistically significant difference.

The probability of making a type i error is represented by alpha level, which is the p-value below which you reject the null hypothesis.

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Answer: i dont knpw how to do tht can u tell me where to draw im just getting points

Step-by-step explanation:

Answer:

We know P(x<$180,000)=.25 and P(x>$320,000)=.25

Using the formula for normal distributions, we can find the mean and standard deviation (z = (x-mean)/SD) using the given info. Then you'll have two equations with two unknowns.

Finally when finding part a, make sure to do a continuity correction [P(x<$200,000) = P(x≤$200,000.5) = ?]

Step-by-step explanation:

Answer:

B) y = 2x - 3

Step-by-step explanation:

Seth's age = y

Twice as old as Toby = 2x

3 years less = -3

Hope this helps!

The real world representation of the given statement is the expression 3x/8

From the question, we are to write the real world description of the given statement.

The given statement is

"the quantity three times x end quantity divided by 8"

To write the real world description of the given expression, we will write the expression as a mathematical statement

Writing the expression as a mathematical statement

'quantity three times x" can be written as

3 × x

= 3x

Then,

"the quantity three times x end quantity divided by 8" becomes

3x ÷ 8

= 3x/8

Hence, the real world representation of the given statement is 3x/8

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