Which value would make the statement true?

The percentage of the grid that is shaded is 52% and the additional number of squares to get 80% shaded grids is 7

The complete question is added as an attachment

From the question, we have the following parameters:

So, the percentage of the grid that is shaded is

Percentage = Shaded grids/Total number of grids

This gives

Percentage = 13/25

Evaluate the quotient

Percentage = 0.52

Express as percentage

Percentage = 52%

Hence, the percentage of the grid that is shaded is 52%

In (a), we have:

Percentage = 13/25

Let the additional number of grids be x.

So, we have:

Percentage = (13 + x)/25

The new percentage is 80%.

So, we have:

(13 + x)/25 = 80%

Multiply both sides by 25

13 + x = 20

Subtract 13 from both sides

x = 7

Hence, the additional number of squares to get 80% shaded grids is 7

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The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma(\(\alpha ,\beta\))

E(X)= \(\alpha \beta\)                 \(\beta\)= \(12^{2}/24\)=6 weeks

V(x)= \(\alpha \beta ^{2}\)                \(\alpha\)=24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, \(\alpha\), \(\beta\), False)

P(\(12\leq X\leq 24\))

P(\(12/6\leq G\leq 24/6\))

P(\(2\leq G\leq 4\))

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

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Answer:

Step-by-step explanation:

0.424 is the probability that the transistor will last between 12 and 24 weeks.

X= lifetime of the transistor in weeks E(X)= 24 weeks

Standard deviation= 12 weeks

Finding the parameters alpha and beta X~gamma(αβ)

E(X)= αβ             β =6 weeks

V(x)=αβ^2           α =24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X,α,β,False)

P(12≤X≤24)

P(12/6≤G≤24/6)

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

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3: 17

4: 22

5: 27

10: 52

Answer: 3:1

Step-by-step explanation:

The five-number summary for the given data set is: Minimum: 19.5, Q1: 51.4, Q2 (Median): 54.5, Q3: 56.6, Maximum: 58.3

To calculate the five-number summary for the given data set, we need to find the minimum, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum.

1. Arrange the data in ascending order:

19.5, 23.2, 50.1, 52.7, 52.9, 54.5, 55.6, 55.6, 57.6, 58.3, 58.3

2. Obtain the minimum:

The minimum value is 19.5.

3. Obtain Q1 (the first quartile):

Q1 is the median of the lower half of the data set.

In this case, we have 11 data points, so the lower half consists of the first 5 data points:

19.5, 23.2, 50.1, 52.7, 52.9

To obtain Q1, we need to calculate the median of these data points:

Q1 = (50.1 + 52.7) / 2 = 51.4

4. Obtain Q2 (the median):

Q2 is the median of the entire data set.

In this case, we have 11 data points, so the median is the middle value:

Q2 = 54.5

5. Obtain Q3 (the third quartile):

Q3 is the median of the upper half of the data set.

In this case, we have 11 data points, so the upper half consists of the last 5 data points:

55.6, 55.6, 57.6, 58.3, 58.3

To obtain Q3, we need to calculate the median of these data points:

Q3 = (55.6 + 57.6) / 2 = 56.6

6. Obtain the maximum:

The maximum value is 58.3.

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(a) The average speed for the trip is approximately 55.3472 km/h.

(b) The distance between the initial and final cities along the route is approximately 90.3333 km.

To find the average speed for the trip, we need to calculate the total distance traveled and the total time taken.

Time spent driving at 100.0 km/h (t1) = 20.0 min

Time spent driving at 65.0 km/h (t2) = 18.0 min

Time spent driving at 50.0 km/h (t3) = 45.0 min

Time spent for lunch and buying gas (t4) = 15.0 min

(a) Calculating the average speed:

We'll convert all time values to hours and distance values to kilometers for consistency.

Total time taken (T) = t1 + t2 + t3 + t4 = (20.0/60) + (18.0/60) + (45.0/60) + (15.0/60) hours

T = 0.3333 + 0.3 + 0.75 + 0.25 hours

T = 1.6333 hours (rounded to four decimal places)

Distance traveled at 100.0 km/h (d1) = 100.0 km/h * (20.0/60) hours = 33.3333 km

Distance traveled at 65.0 km/h (d2) = 65.0 km/h * (18.0/60) hours = 19.5 km

Distance traveled at 50.0 km/h (d3) = 50.0 km/h * (45.0/60) hours = 37.5 km

Total distance traveled (D) = d1 + d2 + d3 = 33.3333 km + 19.5 km + 37.5 km = 90.3333 km (rounded to four decimal places)

Average speed (v_avg) = Total distance / Total time = 90.3333 km / 1.6333 hours ≈ 55.3472 km/h

Therefore, the average speed for the trip is approximately 55.3472 km/h.

(b) To determine the distance between the initial and final cities along the route, we simply need the total distance traveled, which we have already calculated:

Distance between initial and final cities = Total distance traveled = 90.3333 km

Therefore, the distance between the initial and final cities along the route is approximately 90.3333 km.

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Answer:

5 and - 2.5

Step-by-step explanation:

Note that consecutive terms have a common ratio, that is

- 40 ÷ 80 = 20 ÷ - 40 = - 10 ÷ 20 = - 0.5

This indicates that the sequence is geometric.

To find the next term in the sequence multiply the previous term by the common ratio, thus

- 10 × - 0.5 = 5

5 × - 0.5 = - 2.5

Answer:

the circle's radius is approximately 13.00 feet.

Step-by-step explanation:

First, we need to find the selling price of the leaf blower, which is marked up 150% from its original cost of $80. To do this, we need to add 150% of $80 to $80:Therefore, Lee's total cost for the leaf blower was $215.50.

In business, selling refers to the exchange of goods or services for money or other valuable consideration. The goal of selling is to persuade or convince potential customers to buy a particular product or service. This involves identifying potential customers, understanding their needs and preferences, and demonstrating how the product or service can meet their needs. Effective selling often involves building relationships with customers, establishing trust, and providing excellent customer service. Salespeople may use a variety of techniques to sell their products, such as cold-calling, online marketing, or face-to-face sales meetings.

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Answer:

1.  Figure 3

2. 2881.4 cm³

Step-by-step explanation:

The graph in figure 3 has a curve that fits the data best because it captures most of the points unlike the other two curves.

The curve in figure 3 has the equation;

\(y=-16.9x^2 +430x+523\)

2.

When using x=8, substitute the value of x in the equation with 8 to get

y = -16.9*64 + 430*8 + 523

y= 2881.4

= 2881.4 cm³

Answer:

18 meters

Step-by-step explanation:

4 cm = 6m

2cm = 3m

6x3=18

Please <3 my Answer B )

Answer:

13

Step-by-step explanation:

Answer:

$1600

Step-by-step explanation:

4%/100 ×10,000

= $400

30,000-10,000

=20,000

=20,000×6/100

=$1200

=1200+400

=$1600

Using the formula of the combination and for the values of 'p' and 'q'. The statement is false.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

The formula is:

\(C(p,q) = \frac{p!}{q!(p-q)!}\)

p=4 and put q=0 to 4

C(4,2) > C(4,0),C(4,1),C(4,3),C(4,4)

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Answer:

La inclinación de la Torre de Pisa con respecto al eje vertical es 25.167º.

Step-by-step explanation:

Si tenemos una inclinación de la forma \(a^{\circ}\,b'\,c''\) (nótese que ' y '' significan minutos y segundos, respectivamente), podemos expresarlo exclusivamente en grados sexagesimales mediante la siguiente fórmula:

\(x = a + \frac{b}{60} + \frac{c}{3600}\) (1)

Si sabemos que \(a = 25\), \(b = 10\) y \(c = 2\), entonces el ángulo expresado exclusivamente en grados sexagesimales:

\(x = 25+\frac{10}{60}+\frac{2}{3600}\)

\(x = 25.167^{\circ}\)

La inclinación de la Torre de Pisa con respecto al eje vertical es 25.167º.

The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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Answer:

slope=6

Step-by-step explanation:

slope is y/x

hope this helps :)

Answer:

2/3

Step-by-step explanation:

The probability that it will rain on wednesday will be 0.75.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A) = n(A)/n(S)

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes.

We have a meteorologist who says that there is a 50% greater chance of rain than no rain on Wednesday.

Assume that the probability that it will rain on wednesday be [x]. Now, we can write -

P[R] = P[N.R.] + 1/2

P[R] + P[R] = P[N.R.] + P[R] + 1/2

2 P[R] = 1 + 1/2

2 P[R] = 1.5

P[R] = 1.5/2

P[R] = 0.75

Therefore, the probability that it will rain on wednesday will be 0.75.

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To estimate the number of sandwiches the deli manager should anticipate selling when 178 customers visit the deli, we can analyze the given data and approximate it using a linear function.

By observing the table, we notice that the number of sandwiches sold varies with the number of customers. This indicates a relationship between the two variables.

To estimate the number of sandwiches, we can fit a line to the data points and use the linear function to make predictions. Using a statistical software or a spreadsheet, we can perform linear regression analysis to find the equation of the best-fit line. However, since we are limited to text-based interaction, I will provide a general approach.

Let's assume the number of customers is the independent variable (x) and the number of sandwiches is the dependent variable (y). Using the given data points, we can calculate the equation of the line.

After calculating the linear equation, we can substitute the value of 178 for the number of customers (x) into the equation to estimate the number of sandwiches (y).

Please provide the data points for the number of sandwiches sold corresponding to each number of customers so that I can perform the linear regression analysis and provide a more accurate estimate for you.

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c. 11%. This means that the average forecasted demand deviates from the actual demand by approximately 11%.

The Mean Absolute Percent Error (MAPE) measures the accuracy of a forecast by calculating the percentage difference between the actual demand and the forecasted demand. To calculate the MAPE, you can follow these steps:

1. Calculate the absolute percent error (APE) for each day by subtracting the forecasted demand from the actual demand, taking the absolute value of the difference, and dividing it by the actual demand. Here are the APE values for each day:
  Day 1: |(16-20)/16| = 20%
  Day 2: |(19-20)/19| = 5.26%
  Day 3: |(21-20)/21| = 4.76%
  Day 4: |(21-20)/21| = 4.76%
  Day 5: |(22-20)/22| = 9.09%
  Day 6: |(17-20)/17| = 17.65%

2. Calculate the mean of the APE values by summing them up and dividing by the total number of days:
  (20% + 5.26% + 4.76% + 4.76% + 9.09% + 17.65%)/6 ≈ 10.98%

3. Finally, multiply the mean APE by 100 to convert it into a percentage. This gives us the MAPE:
  10.98% * 100 = 10.98%

Therefore, the MAPE for the given dataset is approximately 10.98%.

c. 11%. This means that the average forecasted demand deviates from the actual demand by approximately 11%.

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The smallest value within the class is the lower class limit, and the largest value within the class is the upper class limit.

A class limit is a set of boundary values in the form of a range that describes the lowest and highest data values that a class can contain. The lower class limit refers to the smallest data value in a class, whereas the upper class limit refers to the largest data value in a class. The width of a class is determined by the difference between the upper and lower class limits. Here are a few examples to give you a better understanding of how this works:

Class:              5-9 5 9

Lower Limit:    10-14 10 14

Upper Limit:    15-19 15 19

This shows class limits for three different classes.

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Answer:

5 units

Step-by-step explanation:

By distance formula:

\(r = \sqrt{(4 - 1) ^{2} + {(7 - 3)}^{2} } \\ \\ r = \sqrt{ {3}^{2} + {4}^{2} } \\ \\ r = \sqrt{9 + 16} \\ \\ r = \sqrt{25} \\ \\ r = 5\)

Answer:

radius = 5 units

Step-by-step explanation:

The radius is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (4, 7)

r = \(\sqrt{(4-1)^2+(7-3)^2}\)

  = \(\sqrt{3^2+4^2}\)

   = \(\sqrt{9+16}\)

   = \(\sqrt{25}\)

   = 5

Running a 60-watt LED light bulb for 24 hours would consume 1.44 kilowatt-hours (kWh) of electricity, which, depending on the cost of electricity in your area, could range from around $0.10 to $0.30.

To calculate the cost of running a 60-watt LED light bulb for 24 hours, we need to determine the energy consumption in kilowatt-hours (kWh) and multiply it by the cost per kWh in your area.

First, convert the wattage to kilowatts by dividing it by 1000: 60 watts ÷ 1000 = 0.06 kilowatts.

Next, calculate the energy consumption by multiplying the power (0.06 kW) by the time (24 hours): 0.06 kW × 24 hours = 1.44 kWh.

The cost will vary depending on your location and the price of electricity. In the United States, the average residential electricity rate is around $0.13 per kWh. Multiplying the energy consumption (1.44 kWh) by the electricity rate ($0.13) gives us the cost: 1.44 kWh × $0.13/kWh = $0.1872.

Therefore, the cost to run a 60-watt LED light bulb for 24 hours would be around $0.10 to $0.30, depending on the specific electricity rates in your area.

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Answer:The t-distribution with 19 degrees of freedom should be used to construct the confidence interval.

Step-by-step explanation:

When estimating the mean of a population based on a small sample size (in this case, n = 20), the appropriate distribution to use is the t-distribution. The t-distribution accounts for the additional uncertainty introduced by using a smaller sample size compared to the entire population.

The degrees of freedom for the t-distribution in this case is calculated as (sample size - 1), which is 19 degrees of freedom (df = 20 - 1 = 19). Since we are given that the waiting time is normally distributed and we have a small sample size, the t-distribution with 19 degrees of freedom should be used to construct the confidence interval. This distribution considers the variability in the sample mean and provides more accurate confidence intervals for smaller sample sizes compared to the standard normal distribution.

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Answer:

Plug the variables into the equation = 7(7)-(3(2) - (1)) = 44

Step-by-step explanation:

An indexed set of vectors {v1, v2, . . . , vp} in Rn is said to be linearly independent if the vector equation x1v1 + x2v2 + · · · + xpvp = 0 has only the trivial solution. The set {v1, v2, . . . , vp} is said to be linearly dependent if there exist weights c1, . . . , cp, not all zero, such that c1v1 + c2v2 + · · · + cpvp = 0, is a definition of linearly dependent.

The definition described in the question is the definition of linearly dependent. A set of vectors in Rn is linearly dependent if there exist non-zero coefficients (weights) such that the linear combination of the vectors equals the zero vector. Conversely, if there is only one way to express the zero vector as a linear combination of the vectors in the set, with all coefficients equal to zero, then the set is linearly independent.

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Answer:

wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Step-by-step explanation:

The percent of time the machine will dispense more than oz is 59.87%

The standard deviation (SD) is a commonly used measure of variability in statistics. It displays the amount of variance from the mean (mean). A low SD implies that the data points are close to the mean, whereas a high SD suggests that the data are dispersed across a wide range of values.

Given

Mean = 7.6

Standard deviation = 0.4

Data value = 7.7

The z-score is calculated by subtracting the data value from the mean and dividing it by the standard deviation.

Z = 7.7 - 7.6/0.4

Z = 0.1/0.4

Z = 0.25

In the column beginning with.05 of the standard normal distribution table.

= 0.5987

= 59.87%

The percent of time the machine will dispense more than oz is 59.87%

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