3. use excel to find the following binomial distribution probabilities. a hotel claims that 93% of its customers are very satisfied with its service. complete parts a through e below based on a random sample of 10 customers. (4 points) a) what is the probability that exactly 7 customers are very satisfied? b) what is the probability that more than 7 customers are very satisfied? c) what is the probability that less than 7 customers are very satisfied? d) what is the probability that at least 7 customers are very satisfied? e) what is the probability that at most 7 customers are very satisfied?

Answer:

There will be no change

Step-by-step explanation:

The correlation Coefficient is a measure used in regression studies to examine the strength and type of relationship which exists between two variables (dependent and independent). The Coefficient gives a negative and positive values for negative and positive relationships respectively. The correlation Coefficient has no units and hence does not depend on the unit if measurement. Therefore. Changing the unit if measurement of a certain variable, will have no effect on the correlation Coefficient.

The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the coefficient of determination.

What is coefficient of determination?

The effectiveness of a statistical model in forecasting a result is shown by the coefficient of determination (R²). The dependent variable in the model is a representation of the result.

R² can have a value of 0 or 1, with 1 being the maximum achievable. Simply said, a model's R² will be closer to 1 the more accurate its predictions are.

R² is a more precise measure of goodness of fit. The amount of volatility in the dependent variable that the model can account for.

You can typically tell whether your linear regression data's R² is high or low by graphing it. The graphs below, for instance, display two sets of simulated data:

Dots represent the observations.

The line of best fit, or predictions of the model, is displayed as a black line.

Purple lines represent the deviations (the residuals) between the data and their expected values.

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The x-coordinate where the tree will be planted in a circular sidewalk constructed around a park, with a brick pathway through its diameter from (-1,4) to (9,10), is 4, which is the x-coordinate of the center of the circle.

To find the center of the circle, we need to find the midpoint of the diameter. We can use the midpoint formula

Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)

where (x₁, y₁) and (x₂, y₂) are the endpoints of the diameter.

Using the coordinates (-1, 4) and (9, 10), we get

Midpoint = ((-1 + 9)/2, (4 + 10)/2) = (4, 7)

So the center of the circle is at the point (4, 7).

Since the tree will be planted at the center of the circle, its x-coordinate will be the same as the x-coordinate of the center of the circle, which is 4.

Therefore, the x-coordinate where the tree will be planted is 4.

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--The given question is incomplete, the complete question is given

" a circular sidewalk is being constructed around the perimeter of a local park a brick pathway will be added through the diameter of the circle is from (-1,4) and (9,10) coordinate plane and a tree will be planted in the sidewalk at the center of the circle what is the x coordinate where the tree will be planted "--

According to the Americans with Disabilities Act (ADA), when a parking lot or facility provides 25 or more total parking spaces, at least one of those spaces must be designated as a handicap parking space.

If the total number of spaces provided in the lot or facility falls between 26 and 50, then two of those spaces must be designated as handicap parking. For facilities with 51 to 75 total parking spaces, three handicap spaces are required. And so on, with the requirement increasing by one additional handicap parking space for every additional increment of 25 total parking spaces provided. It's important for businesses and organizations to adhere to these regulations in order to ensure accessibility for individuals with disabilities.

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Answer: 1,620 square inches

Step-by-step explanation:

       The area of a triangle can be found with the following formula, where h is the height and b is the base:

               \(\displaystyle A=\frac{hb}{2}\)

               \(\displaystyle A=\frac{hb}{2}\)

               \(\displaystyle A=\frac{(54)(60)}{2}=1,620\text{ in}^2\)

The minimum weight for the prize is given as follows:

683.2 lbs.

We first must use the z-score formula, as follows:

\(Z = \frac{X - \mu}{\sigma}\)

In which:

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, and can be positive(above the mean) or negative(below the mean).

The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure represented by X in the distribution.

The mean and the standard deviation for this problem are given as follows:

\(\mu = 600, \sigma = 65\)

The 90th percentile is X when Z = 1.28, hence it is given as follows:

1.28 = (X - 600)/65

X - 600 = 65 x 1.28

X = 683.2 lbs.

The mean and the standard deviation for this problem are given as follows:

\(\mu = 600, \sigma = 65\)

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To calculate the probability of X given Z (P(X|Z=z)), you can use Bayes' theorem. Bayes' theorem states:

P(X|Z=z) = (P(Z=z|X) * P(X)) / P(Z=z)

Here's how you can calculate P(X|Z=z) step by step:

1. Calculate P(Z=z): This is the probability of the sum of the results being z. To calculate this, you would need to consider all possible combinations of X and Y that result in Z=z and sum up their probabilities. Since X and Y are outcomes of a fair dice toss, each has a probability of 1/6. For example, if z=7, the possible combinations are (X=1, Y=6), (X=2, Y=5), (X=3, Y=4), (X=4, Y=3), (X=5, Y=2), and (X=6, Y=1). Summing up their probabilities, P(Z=7) = (1/6) * (1/6) + (1/6) * (1/6) + (1/6) * (1/6) + (1/6) * (1/6) + (1/6) * (1/6) + (1/6) * (1/6) = 1/6.

2. Calculate P(Z=z|X): This is the probability of Z being z given that X takes a particular value. Since the outcomes of Y are independent of X, P(Z=z|X) would be the same as the probability of Y being z-X. For example, if x=3, then P(Z=7|X=3) would be the same as the probability of Y being 7-3=4. Since Y is also a fair dice toss, the probability would be 1/6.

3. Calculate P(X): This is the probability of X taking a particular value. Since X is the outcome of a fair dice toss, each value has a probability of 1/6.

Plug in the calculated values into Bayes' theorem:

P(X|Z=z) = (P(Z=z|X) * P(X)) / P(Z=z)

P(X|Z=z) = (1/6 * 1/6) / (1/6)

Simplifying, P(X|Z=z) = 1/6

Therefore, for any value of z, the probability of X taking any specific value is 1/6.

To calculate the probability of Z given X (P(Z|X=x)), you can use the fact that X and Y are independent tosses. In this case, since X=x is known, the probability of Z being z is simply the probability of Y being z-x. Since Y is also a fair dice toss, each value has a probability of 1/6. Therefore, P(Z|X=x) = 1/6 for any value of z.

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The answer to this question is c.The use of a correlation coefficient.

The use of a correlation coefficient would tell you that an association claim is being made in a research study. A correlation coefficient is a statistical measure that shows the strength and direction of a relationship between two variables. It ranges from -1 to 1, with 0 indicating no relationship and -1 or 1 indicating a perfect negative or positive relationship, respectively.

A scatterplot or bar graph may be used to visually display the relationship between two variables, but they do not necessarily indicate that an association claim is being made. The measurement of two variables is necessary for any type of research study, but it does not inherently imply that an association claim is being made.

Interrogation of internal validity is a process used to ensure that the study's results accurately reflect the relationship between the variables being studied. It is important for any research study but does not specifically indicate that an association claim is being made.

Therefore,the answer to this question is c.The use of a correlation coefficient.

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Given: An urn containing 5 red, 3 blue, and 2 orange marbles in it.

To find:

What is the probability that the first marble you draw is blue?

Total number of marbles in the urn= 5+3+2 = 10 Probability of the first marble being blue = Number of blue marbles/Total number of marbles= 3/10Therefore, the probability that the first marble you draw is blue is 3/10.Suppose you drew a blue marble in the first draw. If drawing with replacement.

What is the probability of drawing a blue marble in the second draw?

When we are drawing with replacement, the urn is filled back with marbles after every draw. Hence, the number of marbles remains the same in every draw. The probability of drawing a blue marble in the first draw = 3/10Therefore, in the second draw also, the probability of drawing a blue marble is 3/10.So, the probability of drawing a blue marble in the second draw when drawing with replacement, given that a blue marble was drawn in the first draw is 3/10.Suppose you instead drew an orange marble in the first draw. If drawing with replacement.

what is the probability of drawing a blue marble in the second draw?

The probability of drawing an orange marble in the first draw = Number of orange marbles/Total number of marbles= 2/10= 1/5In the second draw, the urn is filled back with marbles and the total number of marbles remains the same. The probability of drawing a blue marble in the second draw= Number of blue marbles/Total number of marbles= 3/10Therefore, the probability of drawing a blue marble in the second draw, given that an orange marble was drawn in the first draw, when drawing with replacement, is 3/10. If drawing with replacement.

When we draw with replacement, the probability of drawing a blue marble is 3/10 for every draw. As we are drawing with replacement, each draw is an independent event. The probability of drawing two blue marbles in a row = (Probability of the first marble being blue) × (Probability of the second marble being blue) = (3/10) × (3/10)= 9/100Therefore, the probability of drawing two blue marbles in a row when drawing with replacement is 9/100.

Yes, when we draw with replacement, the draws are independent. This is because the urn is filled back with marbles of the same kind after each draw. Hence, the probability of drawing a certain color remains the same in every draw. Therefore, every draw is an independent event.

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Answer:

5/8 + 7/12 =29/24

Step-by-step explanation:

Answer:

288000cm³

Step-by-step explanation:

Volume of figure = (70×60×30) + (90×30×60)

= 126000cm³ + 162000cm³

= 288000cm³

Answer:

so, i found two points that are on the graph.

(50, 100) (100, 200)

Step-by-step explanation:

then u fraction them (rise over run) 100/50 200/100 and simplify 2/1 thats ur slope or "m" then im pretty sure u put it in a y=mx+b so y= 1/2x+0

Answer:

5418.17

Step-by-step explanation:

1) 1600(1+.05)^25

2) 1600(1.05)^25

3) 1600(3.3863549408993848167083336666837)

4) 5,418.167905439015706733333866694

Step-by-step explanation:

g (f(x)) = 4(2x⁴+10)-15

= 8x⁴+40-15

= 8x⁴+25

Answer:

72%

Step-by-step explanation:

Percentage of  original price = (Selling Price/Cost Price) x 100%

                                                = ($144/200) x 100%

                                                = ($0.72) x 100%

                                                = 72%

The maximum value attained by the sum of the expression is 169 when N is the two-digit number 98.

Let N be a two-digit number with digits a and b. Then, the sum of N and the product of its digits is N + ab, and the sum of N's digits is a + b. Therefore, the expression we want to maximize is:

Substituting N = 10a + b, we get:

To maximize this expression, we want to maximize a and b. Since a and b are digits, they must be between 1 and 9. If we set a = 9 and b = 8, we get:

Therefore, the maximum value attained by the expression is 169 when N is the two-digit number 98.

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Answer:

x=32

Step-by-step explanation:

180-122=58

58+90+x=180

148+x=180

32=x

A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. It can be used to represent systems of linear equations, transformations in geometry, and a wide range of other mathematical concepts in a compact and organized form.

When you multiply a matrix A (n × n) by a vector x (in R^n), the resulting product Ax is a linear combination of the columns of matrix A.

Here's a step-by-step explanation:

1. Let A be an n × n matrix with columns C₁, C₂, ..., Cₙ, and x be a vector in R^n with elements [x₁, x₂, ..., xₙ]^T (transpose).

2. When you multiply the matrix A by the vector x, the resulting vector Ax can be represented as:

  Ax = A * x = [C₁ C₂ ... Cₙ] * [x₁, x₂, ..., xₙ]^T

3. The multiplication of A and x results in a new vector, where each element is formed by taking the dot product of the corresponding row of A with the vector x:

  Ax = [x₁*C₁ + x₂*C₂ + ... + xₙ*Cₙ]

4. In the resulting vector Ax, you can see that each column of matrix A is multiplied by its corresponding scalar from the vector x, forming a linear combination of the columns of matrix A.

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Answer:

Step-by-step explanation:

y=x²+7

vertex(0,7)

the length of latus rectum in a parabola equal to four times the focal length :

y=x²+7

focus X=-b/2a=0

focus Y=c- (b²-1)/4a=7+1/4=29/4

focus (0 , 29/4)

latus rectum is 29/4

(x-h)^2 = 4p (y-k)   4p is the length of the latus rectum with vertex(0,7)

(0-0)²=4p(29/4-7)

0=29p-28p=1p

the length of the latus rectum is 1

Answer:

  1

Step-by-step explanation:

The short answer is that the length of the latus rectum is the reciprocal of the magnitude of the leading coefficient.

In y = x^2 +7, the leading coefficient is 1.

  latus rectum = 1/|1| = 1

Answer:

11i= √-1

Step-by-step explanation:

So first take 1 to the other side so we can leave the numbers with I on one section. So when we take 1 to the other side it becomes negative so 0-1 = -1. Since the 8 is squared to get rid of it were going to put a square root on the whole equation. √8i² + 9i = √-1 and we have to put the square root on the other side of the equation to make it equal. So on the other side we now have 8i + 3i *because the square root of 9 is 3* and then the -1 stays like that so its 11i= √-1 because we combine the 8i and 3i. Happy I could help!!!

Answer:

26.67

Step-by-step explanation:

8 x 5 x 2/3 = 80/3 = 26.67

Answer:

$0.81

Step-by-step explanation:

left

\(7.45-8(0.83)=7.45-6.64=0.81\)

I hope I have helped you

Measure of arc MLK is 270°

Angle MKL = 135 degrees

We are looking for the measure of the arc MLK

The diagram shows an angle formed by a chord (MK) and tangent

The relationship between angle formed by a chord and tangent:

Measure of arc MLK:

Answer:

Dot product. ... In Euclidean geometry, the dot product of the Cartesian coordinates of two vectors is widely used and often called "the" inner product (or rarely projection product) of Euclidean space even though it is not the only inner product that can be defined on Euclidean space; see also inner product space.

Step-by-step explanation:

Answer:

- A dot product is the product of the magnitude of the vectors and the cos of the angle between them.

- A cross product is the product of the magnitude of the vectors and the sine of the angle that they subtend on each other.

- An inner product is a generalization of the dot product.

Step-by-step explanation:

Dot product - the sum of the products of the corresponding entries of the two sequences of numbers. Geometrically, it is the product of the Euclidean magnitudes of the two vectors and the cosine of the angle between them. These definitions are equivalent when using Cartesian coordinates.

Cross Product - The cross product is a mathematical operation which can be done between two three-dimensional vectors. It is often represented by the symbol. After performing the cross product, a new vector is formed. The cross product of two vectors is always perpendicular to both of the vectors which were "crossed".

Inner product - In a vector space, it is a way to multiply vectors together, with the result of this multiplication being a scalar.

Therefοre, the sοlutiοn οf the given prοblem οf graph cοmes οut tο be  the parabοla's apex is (-2, -9).

Mathematicians use graphs tο lοgically depict οr chart assertiοns οr values in a visual way. Usually, a graph pοint shοws the cοnnectiοn between twο οr mοre οbjects. A graph is a particular kind οf nοn-linear rail delivery up οf parts knοwn as nοdes as well as lines. The bοrders, alsο referred tο as nοdes, shοuld be jοined tοgether with glue.

The rοοts and vertex οf the parabοla must be identified in οrder tο draw the equatiοn y = x² + 4x - 5.

Setting y = 0 and figuring οut x's value will allοw us tο discοver the rοοts first:

=> \(x^2 + 4x - 5 = 0\)

=> (x + 5)(x - 1) = 0

=> x = -5 or x = 1

Therefore, x = -5 and x = 1 are the equatiοn's solutions.

The vertex can then be lοcated by completing the rectangle as follows:

=> \(y = x^2 + 4x - 5\)

=> \(y = (x^2 + 4x + 4) - 9\)

=>\(y = (x + 2)^2 - 9\)

Consequently, the parabοla's apex is (-2, -9).

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Answer:

18

Step-by-step explanation:

Equation 9 x 4 / 2 = 18

First do 9 x 4 which is 36

Next do 36 / 2 which is 18

Also the "/" is another way to say to divide

The situation in which an ARIMA (Autoregressive Integrated Moving Average) model has a decided advantage over standard regression models is when we don't know the independent variables of the variable to be forecast. In this case, ARIMA models can capture the time series patterns and dynamics of the variable without relying on specific independent variables.

ARIMA models are particularly useful when dealing with time series data where the relationship between variables may not be well understood or when the data lacks a clear set of independent variables that can explain the variation in the variable to be forecasted. By incorporating lagged values and differencing to capture autocorrelation and stationarity in the data, ARIMA models can provide accurate forecasts without the need for explicit knowledge of independent variables.

In contrast, standard regression models require knowledge of the independent variables and their relationships with the dependent variable. These models assume a linear relationship and rely on the availability and quality of relevant independent variables. If the independent variables are unknown or difficult to determine, ARIMA models offer a more flexible and data-driven approach to forecasting, making them advantageous in such situations.

Overall, the advantage of ARIMA models lies in their ability to capture and forecast time series data without the need for explicit knowledge of independent variables, making them suitable for scenarios where independent variables are unknown or difficult to ascertain.

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Answer:

708 books on each shelf!!?!!

Step-by-step explanation:

1,845 + 4,527 = 6372

6,372 ÷ 9 = 708

If I am right, please give me brainliest!!!!

- Hermionia

Answer: It should be 15/32

Step-by-step explanation:

Answer:

5/8 divide by 11/3

5/8 times 3/11 = 15/88

Cannot be reduced any lower.

Answer:

the is 72 kilometers per hour