Simplify: 3−5(−3n+5)3−5(−3n+5)

26 * 25 * 24 * 22 = 16,384.

There are 16,384 seven-digit license plates that contain exactly four letters, all of which are distinct. This is because there are 26 possible letters, so the first letter could be any of those letters, and then the second letter has 25 options, and so on until the fourth letter, which has 22 possible letters. So, the total number of combinations is 26 * 25 * 24 * 22 = 16,384.

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Since GM is tangent tο circle O at pοint G, the intercepted arc GE has measure zerο. ,then ∠SGM = 84°.

Secant line is alsο knοwn as average rate οf change οf functiοns between twο pοints and alsο called slοpe.

the tangent line is perpendicular tο the radius that passes thrοugh the pοint οf tangency. Therefοre, we have:

m∠MGS = 90°

Alsο, we knοw that the measure οf an angle fοrmed by a tangent line and a secant line that intersect οutside the circle is half the difference οf the intercepted arcs.

m∠SGM = 1/2 (mSE - mGE)

where SE is the intercepted arc by secant GS, and GE is the intercepted arc by tangent GM.

Since GM is tangent tο circle O at pοint G, the intercepted arc GE has measure zerο.

mSE = 2mGS

mSE = 2(84°) = 168°

m∠SGM = 1/2 (mSE - mGE) = 1/2 (168° - 0°) = 84°

Therefοre, m∠SGM = 84°.

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Answer:

Step-by-step explanation:

It is possible if your friend has a bigger glass than you.

Therefore, the area of the polygon is 24 square units.

In mathematics, a coordinate is a set of numbers or values that represent the position or location of a point or an object in space. Typically, coordinates are used to describe points in two-dimensional (2D) or three-dimensional (3D) space.

In 2D space, coordinates are usually represented as pairs of numbers (x, y), where the first number (x) represents the horizontal distance of the point from the origin, and the second number (y) represents the vertical distance of the point from the origin.

by the question.

To find the area of the polygon defined by the given coordinates, we can use the Shoelace Formula:

[tex]Area = 1/2 * |(x1y2 + x2y3 + ... + xny1) - (y1x2 + y2x3 + ... + ynx1)|[/tex]

where?[tex](x_{1} ,y_1), (x_2,y_2), ..., (x_n,y_n)[/tex] are the coordinates of the vertices listed in order.

Plugging in the given coordinates in order, we get:

[tex]Area = 1/2 * |(-12 + -5(-3) + (-5)(-5) + (-2)(-2) + 22 + 4(-2)) - (4*(-5) + (-5)(-5) + (-3)(-2) + (-2)2 + 2(-1) + 2*(-5))|= 1/2 * |-2 - 125 + 25 - 4 + 8 + 8 + 20 + 10 + 2 + 10|= 1/2 * |-48|=24[/tex]

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Answer:

I attached your answer along with an explanation

Step-by-step explanation:

Please Like me follow me and Give me Crown for more help. :)

First, note that the degree of the polynomial is the highest power of x that appears in the expression. In this case, the degree is max(n, 5, m, 2).

Next, consider the leading coefficient of the polynomial, which is the coefficient of the term with the highest power of x. In this case, the leading coefficient is a.

Based on this information, here are some possible general shapes of the graph of y=f(x):

If n is even and a > 0, the graph of y=f(x) looks like a "U" shape, with both ends pointing upwards.

If n is even and a < 0, the graph of y=f(x) looks like an upside-down "U", with both ends pointing downwards.

If n is odd and a > 0, the graph of y=f(x) looks like a "v" shape, with the vertex pointing upwards.

If n is odd and a < 0, the graph of y=f(x) looks like an upside-down "v", with the vertex pointing downwards.

Note that these are just general shapes, and the actual graph could be modified by the other terms in the polynomial. Additionally, the values of b, c, d, and the constants could also affect the shape and behavior of the graph.

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Complete Question is : let f(x)=ax^n+bx^5+36/cx^m-dx^2+9 where m and n are integers and a,b,c and d are unknown constants. what is the possible graph of the function?

0 is a 100% decrease of 98.7. Hope this helped!

the expected gain is $0.77, rounded to the nearest cent.The expected gain is the sum of the products of the probability of each outcome and its corresponding payoff.

There are 4 jacks, 4 queens, 4 kings, and 4 aces in a standard 52-card deck. So the probability of drawing a jack or a queen is 8/52 = 2/13, and the probability of drawing a king or an ace is also 8/52 = 2/13. The probability of drawing any other card is 1 - 2/13 - 2/13 = 9/13.

The expected gain is the sum of the products of the probability of each outcome and its corresponding payoff. So:

Expected gain = (2/13) * 19 + (2/13) * 5 + (9/13) * (-2)

Expected gain = 38/13 - 10/13 - 18/13

Expected gain = 10/13 ≈ 0.77

Therefore, the expected gain is $0.77, rounded to the nearest cent.

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The value of angle x in the given figure is 79°.

The highest and lοwest walls οf a skew are used tο split the curved lines that make up its ends using Cartesian measurements. A cοllisiοn between twο pοles at an intersectiοn is a pοtential. Angle is anοther οutcοme οf twο things interacting. They resemble dihedral fοrms the mοst clοsely. A twο-dimensiοnal curve can be created by placing twο line beams in variοus cοnfiguratiοns between their ends.

In ΔBFG, ∠FBG = 46°

So according to angle sum property

46° + ∠BFG + BGF = 180°

Here ΔBFG is an isosceles triangle

46° + 2∠BFG = 180°

2∠BFG = 180° - 46°

2∠BFG  = 134

∠BFG = 134/2

∠BFG = 67° = ∠BGF

Using Vertically opposite angle

∠AFJ =  67°

With that in mind ∠BFA = ∠JFG

2∠JFG + 2∠AFJ = 360°

2∠JFG  = 360° - 2∠AFJ

2∠JFG  = 360° - 2(67)

2∠JFG  = 360° - 134

2∠JFG  = 226

∠JFG  = 226/2

∠JFG = 113°

In ΔFDC, ∠JFG  + ∠JDI + ∠HCG = 180°

113° + 33° + ∠HCG = 180°

∠HCG = 180° - (113° + 33°)

∠HCG = 34°

Also, ∠HGC = ∠BGF = 67°

Now, In ΔCGH, ∠HGC + ∠HCG + x = 180°

67° + 34° + x = 180°

x = 180° - (67° + 34°)

x = 79°

Thus, the value of angle x in the given figure is 79°.

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Using fraction, the total number of cupcakes is obtained to be 5.

What is fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

If 4 cupcakes represent 80% of the order, then we can use proportional reasoning to find the total number of cupcakes.

Specifically, if x is the total number of cupcakes, then we can write -

4/x = 80/100

where the left-hand side represents the fraction of the order that is Nom-Nom-Nom cupcakes, and the right-hand side represents the percentage of the order that is Nom-Nom-Nom cupcakes.

Solving for x, we get -

x = 4 / (80/100) = 5

So the total number of cupcakes is 5. Since 4 of them are Nom-Nom-Nom cupcakes, the remaining 1 cupcake must be a Wow cupcake.

Therefore, in total there are 5 cupcakes.

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I've been waiting to order your cupcakes all day! I'll have 4 Nom-Nom-Nom cupcakes -- that's 80% of my order. The rest of the order are Wow.
Find the total number of cupcakes.

Answer: 14x + 10

Step-by-step explanation: The perimeter of the room without the door can be found by adding up the lengths of all four sides:

Perimeter = 2(4x-1) + 2(3x+6)

Simplifying and combining like terms, we get:

Perimeter = 14x + 10

Therefore, the perimeter of the room without the door in simplest form is 14x + 10.

The two numbers are 6 and 2.

Let's assume the first number is x and the second number is y.

From the first statement, we can write the equation x = y + 4.

From the second statement, we can write the equation 2x = 4y + 2.

Now, we can substitute x in terms of y from the first equation into the second equation:

2(y + 4) = 4y + 2

Simplifying this equation, we get:

2y + 8 = 4y + 2

2y = 6

y = 3

Substituting y = 3 in the first equation, we get:

x = y + 4 = 3 + 4 = 7

Therefore, 6 and 2 are the two numbers,


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Answer:

there

Step-by-step explanation:

The characteristics of each function has been explored based on the table below.

The graph of each function is shown in the image attached below.

In order to use the given functions to complete the table, we would have to substitute each of the values of x (x-values) into the function and then evaluate as follows;

A. f(x) = 2x

x                      process             f(x)

-2                  f(-2) = 2(-2)            -4

-1                   f(-1) = 2(-1)              -2

0                   f(0) = 2(0)               0

1                    f(1) = 2(1)                 2

2                   f(2) = 2(2)                4

B. G(x) = x²

x                      process             f(x)

-2                  f(-2) = (-2)²            4

-1                   f(-1) = (-1)²              1

0                   f(0) = (0)²               0

1                    f(1) = (1)²                 1

2                   f(2) = (2)²               4

B. H(x) = 2ˣ

x                      process             f(x)

-2                  f(-2) = (2)⁻²            1/4

-1                   f(-1) = (2)⁻¹              1/2

0                   f(0) = (2)⁰                1

1                    f(1) = (2)¹                 2

2                   f(2) = (2)²               4

In this scenario and exercise, we would use an online graphing calculator to plot each of the given functions as shown in the graph attached below.

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a. No, w is not in fv1; v2; v3g. There are three vectors in fv1; v2; v3g.

b. There are three vectors in the span of fv1; v2; v3g.

c. No, w is not in the subspace spanned by fv1; v2; v3g. This is because the subspace is the set of all linear combinations of the vectors in the span, and w does not have to be a linear combination of the vectors in the span.

To prove this, we first need to recall the definition of the span: it is the set of all linear combinations of a set of vectors. A linear combination is a sum of the vectors, multiplied by constants. For example, if we have a vector v1, and two constants a and b, then the linear combination of a*v1 and b*v1 is (a + b)*v1. If a vector w is not a linear combination of v1, then w is not in the span of v1.

The same logic applies to the vectors fv1; v2; v3g. If w is not a linear combination of these three vectors, then w is not in the subspace spanned by these three vectors. We can prove this by showing that w cannot be a linear combination of fv1; v2; v3g. This is because the only way to create a linear combination of these vectors is to multiply them by constants, and since w is not one of the vectors, it cannot be multiplied by a constant. Therefore, w is not in the subspace spanned by fv1; v2; v3g.

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8. Spread = SD = sqrt(2*df)

9. The difference between the observed and expected frequencies of the outcomes of a set of events or variables.

10. Degrees of 1 freedom does the chi-square distribution.

11.  The rule of thumb for all expected counts in a chi-square goodness of fit test is expected counts must be at least 5.

8. Describe the center and spread of the chi-square distributions.

Shape - skewed right because can't be zero

µ = df = tipping point

mode = df - 2 = peak

spread = SD = sqrt(2*df)

9. Chi-square test is a non-parametric test (a non-parametric statistical test is a test whose model does not specify conditions about the parameter of the population from which the sample is drawn.). It is used for identifying the relationship between a categorical variable and denoted by χ2.

10. A chi-squared distribution constructed by squaring a single standard normal distribution is said to have 1 degree of freedom. Thus, as the sample size for a hypothesis test increases, the distribution of the test statistic approaches a normal distribution.

11. The rule of thumb for all expected counts in a chi-square goodness of fit test is expected counts must be at least 5.

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The point that partitions segment AB in a 1:4 ratio is (-1, -0.4).

In this scenario, line ratio would be used to determine the coordinates of the point Q on the directed line segment AB that partitions the segment into a ratio of 1 to 4.

In Mathematics, line ratio can be used to determine the coordinates of Q and this is modeled by the following mathematical expression:

Q(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Substituting the given parameters into the line ratio formula, we have;

Q(x, y) = [(1(7) + 4(-3))/(1 + 4)],  [(1(-10) + 4(2))/(1 + 4)]

Q(x, y) = [(7 - 12)/(5)],  [(-10 + 8)/5]

Q(x, y) = [-5/5],  [(-2)/(5)]

Q(x, y) = [-1, -2/5]

Q(x, y) = [-1, -0.4]

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The given equation is 7(x+4) = -21 . Therefore, the value of x is 7

In mathematics, an equation is a formula that connects two expressions with the equal sign = to indicate that they are equal. An equation is made up of two expressions joined by an equal sign ("="). Expressions for both sides of the equals sign are called the "left side" and the "right side" of the equation. Many times the right side of the equation is assumed to be zero. Assuming this does not reduce generality, this can be achieved by subtracting the right side from both sides.

According to the Question:

The given equation is:

   7(x+4)= -21

⇒ 7x + 28 = -21

⇒ 7x = -49

⇒ x = 7

Complete Question:

Solve the Equation : 7(x+4)= -21

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The variance is 7.2.

We can use the binomial distribution formula to calculate the variance. The formula for the variance of a binomial distribution is

Variance = n × p × (1 - p)

where n is the number of trials, p is the probability of success on each trial, and (1 - p) is the probability of failure on each trial.

In this case, n = 30 (the number of homes on the route), p = 0.48 (the probability of a home having a dog), and (1 - p) = 0.52 (the probability of a home not having a dog).

The postal employee encountered 12 dogs, which means there were 18 homes without dogs. So, the actual probability of success in this case is

P(dogs) = 12/30 = 0.4

Using the formula above, we can calculate the variance

Variance = n × p × (1 - p)

= 30 × 0.4 × 0.6

= 7.2

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Answer:

33

Step-by-step explanation:

43-10=33 sarah has 33 bananas ledt

If the cycle time is 2 minutes per customer, 30 customers can be served per hour.

The given cycle time is 2 minutes per customer. To calculate how many customers can be served per hour, we need to calculate the number of minutes in an hour as follows: 60 minutes = 1 hour.

The time taken for each customer is 2 minutes. Therefore, the number of customers that can be served per hour can be calculated as follows:

Number of customers per hour = (60 minutes/hour) ÷ (2 minutes/customer)
Number of customers per hour = 30 customers.

Therefore, the number of customers that can be served per hour is 30, according to the given cycle time of 2 minutes per customer.

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Standard deviation and beta are both measures of risk, however Beta is used to measure systematic risk. The correct answer is option (B), beta measures only systematic risk.

Standard deviation and beta are both measures of risk, however, there are differences between them. Standard deviation is a measure of the variation or dispersion of a set of data values. It shows the average deviation of each value from the mean. It is expressed in the same units as the original data.

Beta, on the other hand, is a measure of the systematic risk of an investment relative to the market as a whole. It reflects the extent to which the return on a particular security or portfolio moves with the overall market, and is often used in the Capital Asset Pricing Model (CAPM) to estimate the required rate of return for an investment. It measures the sensitivity of the security's returns to the market.

The systematic risk of an investment is the risk that is associated with the market as a whole, rather than with a particular security. It is often referred to as market risk because it is based on factors that affect the entire market, such as changes in interest rates, inflation, or economic conditions.

Unsystematic risk, on the other hand, is the risk that is specific to a particular security or industry, and is caused by factors that affect that particular security or industry, such as management changes, lawsuits, or other events that affect the company's operations.

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Therefore , the solution of the given problem of unitary method comes out to be hourly salary of $144, or 12 times the average hourly wage of $12 for phone reps.

This common convenience, already-existing variables, or all important elements from the original Diocesan adaptable study that followed a particular methodology can all be used to achieve the goal. Both of the crucial elements of a term affirmation outcome will surely be missed if it doesn't happen, but if it does, there will be another chance to get in touch with the entity.

Here,

The formula below can be used to determine the ideal amount of phone representatives:

=>  MR = MC

Where n is the amount of phone reps and 12 is their hourly wage, the cost is given by C = 12n.

The following results are obtained by taking the derivative of revenue and cost with regard to n:

=> MR=dR/dn = k

=>  dC/dn = 12 for MC.

When we set MR equal to MC, we obtain:

=> k = 12

Accordingly, Vi should hire as many phone representatives as are required to produce an hourly salary of $144, or 12 times the average hourly wage of $12 for phone reps.

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The mean of a normal distribution is calculated by taking the sum of all the values and dividing it by the total number of values. In this case, the values were between 5.8 and 10.6, and the total number of values was 95.4%

The mean of a normal distribution is calculated by taking the sum of all the values and dividing it by the total number of values. In this case, the values are between 5.8 and 10.6, and the total number of values is 95.4%.

To calculate the mean, we must first calculate the sum of all the values. To do this, we will use the following formula:

sum of values = (lowest value + highest value) / 2

In this case, the lowest value is 5.8 and the highest value is 10.6, so the sum of values is 8.2.

We now have the sum of all the values, so we can calculate the mean by dividing the sum by the total number of values. The total number of values is 95.4%, so the mean is 8.2 / 0.954 = 8.57.

Therefore, the mean of the normal distribution is 8.57.

In conclusion, the mean of a normal distribution is calculated by taking the sum of all the values and dividing it by the total number of values. In this case, the values were between 5.8 and 10.6, and the total number of values was 95.4%. When the sum of all the values (8.2) was divided by the total number of values (0.954), the mean was calculated to be 8.57.

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2,364 ÷ 57 ≈ 41. Therefore, Hannah made 41 full bags of candy.

To solve this problem, we use integer division to find the number of full bags Hannah made. We divide the total number of candy pieces by the number of pieces in each bag and take the integer part of the result. This is because we are only interested in the number of full bags, not partial bags. In this case, we have 2,364 pieces of candy and each bag holds 57 pieces, so 2,364 ÷ 57 ≈ 41. This means that Hannah made 41 full bags of candy.

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Answer:

3

Step-by-step explanation:

Number of people in the choir = 80

Number of women = half of 80 = 40

Number of men in the choir is ¼ of the women = 40/4 = 10

Number of men plus women = 10 +40 = 50

Number of children = 80 - 50 = 30

Ratio of children to men = n:1 = 30:10

Divide both sides by 10

30:10 = 3:1

n = 3

The probability that the proportion of persons with a retirement account in a random sample of size 555 differs from the population proportion by less than 5% is approximately 0.8327.

We need to make some assumptions about the population proportion of persons with a retirement account and the standard deviation of the sampling distribution of sample proportions. Let's assume that the population proportion is p = 0.5 (i.e., half of the population has a retirement account) and that the standard deviation of the sampling distribution is given by:

σ = sqrt((p*(1-p))/n)

where n is the sample size.

Substituting the values given in the question, we have:

σ = sqrt((0.5*(1-0.5))/555) = 0.0258

To find the probability that the sample proportion differs from the population proportion by less than 5%, we need to find the probability that the absolute difference between the sample proportion and the population proportion is less than 0.05. This can be written as:

P(|p_hat - p| < 0.05)

where p_hat is the sample proportion.

We can standardize this expression by subtracting the population proportion from both sides and dividing by the standard deviation:

P(|p_hat - p|/σ < 0.05/σ)

P(-0.97 < Z < 0.97)

where Z is a standard normal variable. We can find this probability using a standard normal table or a calculator:

P(-0.97 < Z < 0.97) = 0.8327

Rounding to four decimal places, we have:

P(|p_hat - p| < 0.05) = 0.8327

Therefore, the probability that the proportion of persons with a retirement account in a random sample of size 555 differs from the population proportion by less than 5% is approximately 0.8327.

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Answer:

b/c

Step-by-step explanation:

sin B = opp/hyp

sin B = b/c