how many 7 digit telephone numbers are possible if the first digit cannot be one and only odd digits may be used the telephone number must be a multiple of 10

a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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Answer:

dolor sit amet, coisse. Enim neque volutpat ac tincidunt vitae. Leo a diam sollicitudin tempor id eu nisl nunc. A diam maecenas se ut sem viverra.dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut ln tempor id eu nisl nunc. A diam maecenas sed enim ut sem viverra.dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Habitant morbi tristique senectus et netus et

Step-by-step explanation:

dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Habitant morbi tristique senectus et netus et malesuada fames. Pharetra massa massa ultricies mi. Tortor at risus viv et egestas quis ipsum suspendisse. Enim neque volutpat ac tincidunt vitae. Leo a diam sollicitudin tempor id eu nisl nunc. A diam maecenas sed enim ut sem viverra.dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Habitant morbi tristique senectus et netus et malesuada fames. Pharetra massa massa ultricies mi. Tortor at risus viv et egestas quis ipsum suspendisse. Enim neque volutpat ac tincidunt vitae. Leo a diam sollicitudin tempor id eu nisl nunc. A diam maecenas sed enim ut sem viverra.

the sample standard deviation (s) is 4.

To compute the sample standard deviation (s) using the given information, we can use the formula for the z-score transformation:

Z = (X - M) / s

Rearranging the formula, we can solve for the sample standard deviation (s):

s = (X - M) / Z

Substituting the given values, we have:

X = 88

M = 80

Z = 2.00

s = (88 - 80) / 2.00

s = 8 / 2.00

s = 4

what is standard deviation?

Standard deviation is a measure of the dispersion or spread of a set of values in a dataset. It quantifies how much the individual data points deviate from the mean or average of the dataset.

Mathematically, the standard deviation (represented by the symbol σ for the population and s for a sample) is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean.

The formula for calculating the standard deviation of a sample is:

s = √(Σ(xᵢ - x(bar))² / (n - 1))

Where:

- xᵢ represents each individual data point in the sample

-  x(bar) represents the sample mean

- n is the sample size

The standard deviation provides valuable information about the variability and dispersion of the data points. A larger standard deviation indicates a wider spread of values, while a smaller standard deviation indicates that the data points are closer to the mean and less spread out.

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The graph states that there are 2 number of gallons of lemonade in a container, y, after drinking 12 glasses of lemonade.

How to interpret a graph?

The horizontal scale across the bottom and the vertical scale along the side tell us how much or how many. The points or dots on the graph show us the facts. The lines connecting the points give estimates of the values between the points.

since , it is a decreasing graph because it has a negative slope . Therefore , as no of glasses increases the gallons numbers decreases.

Hence , the graph states that there are 2 number of gallons of lemonade in a container, y, after drinking 12 glasses of lemonade.

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Answer:

no run hide

Step-by-step explanation:

hide run boo

Answer: A ruler and a protracor

Step-by-step explanation:

Answer:

-1.5

Step-by-step explanation:

The product of slopes of two perpendicular lines = -1

If line one has a slope of 2/3;

Let line two, perpendicular to line one, has a slope of a

2/3 × a = -1

a = -1 ÷ 2/3 = -3/2 = -1.5

Answer:

Step-by-step explanation:

Initial value of house is $478000

Change in value is 8% greater:

We need 8% of Value

\(\\ \sf\longmapsto 8\%\:of\;478000\)

\(\\ \sf\longmapsto 0.08(478000)\)

\(\\ \sf\longmapsto 38240\$\)

Current value:-

\(\\ \sf\longmapsto 478000+38240=516240\)

Answer:

x = -2, y = -4

x = -1, y = -1

x = 0, y = 2

x = 1, y = 5

Step-by-step explanation:

Just apply the formula into the different values for x.

x = -2

y = 3(-2) + 2

  = -6 + 2

  = -4

x = -1

y = 3(-1) + 2

  = -3 + 2

  = -1

x = 0

y = 3(0) + 2

  = 0 + 2

  = 2

x = 1

y = 3(1) + 2

  = 3 + 2

  = 5

The values that represent the possible distance, d, in miles, between Lincoln, NE, and the third city are given as follows:

300 < d < 699.

A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.

The measurements for this problem are given as follows:

Then if 500 miles is the largest distance, we have that:

x can be between 300 and 500.

If x is the largest distance, we have that:

x can be between 501 and 699.

Then the range of possible distances is given as follows:

300 < d < 699.

(which are the distances for each case).

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Answer:

see picture

Step-by-step explanation:

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

$25.09

Step-by-step explanation:

45.40x3=136.20

211 47-136.20=75.27

75.27÷3=25.09

Seating arrangement would best suit a family restaurant is c) a space with all booths.

This restaurant with a comfortable atmosphere usually serves food in large quantities by placing it in the middle of the table.

So, each family member can take food from the middle and enjoy it on their respective plates. This concept is exactly the same as how to eat at home with the family.

Apart from that, the characteristics of this restaurant are almost the same as a casual dining restaurant, the difference is the absence of alcoholic beverages in family restaurants.

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Answer:B

Explanation Samuel earn per hour = 5 hrs

Commission = 65%

Samuel total earning for a day = 6 hrs

Now,

5(65)+6y

Answer: 62

Step-by-step explanation:

top row has 12

the next row has 1 more =13

and it alternates

12+13+12+13+12=62

The solution to all parts is shown below:

(a) The level of significance is 0.01.

(b) Chi-square ≈ 3.916

(c) The P-value is approximately 0.416.

(a) The level of significance is 0.01.

(b) To find the value of the chi-square statistic for the sample, we need to calculate the expected frequencies and then perform the chi-square test. The expected frequencies can be calculated using the formula:

Expected frequency = (row total x column total) / grand total

The table below shows the expected frequencies:

Pottery Type

Site Type Mesa Verde

Black-on-White McElmo

Black-on-White Mancos

Black-on-White Row Total

Mesa Top (189 x247)/628  (189 x 195)/628         (189 x 186)/628

                        ≈ 74.67            ≈ 58.72                  ≈ 56.61 189

Cliff-Talus (213x247)/628     (213x195)/628            (213x186)/628

                    ≈ 83.74                     ≈ 66.48                  ≈ 63.78 213

Canyon Bench (226x247)/628   (226x195)/628        (226x186)/628

                                 ≈ 89.02                 ≈ 71.05           ≈ 67.93 226

Column Total           247                         195                              186         628

Now, we can calculate the chi-square statistic:

Chi-square = Σ [(Observed frequency - Expected frequency)² / Expected frequency]

Chi-square = [(79 - 74.67)² / 74.67] + [(65 - 58.72)² / 58.72] + [(45 - 56.61)² / 56.61] + [(76 - 83.74)² / 83.74] + [(67 - 66.48)² / 66.48] + [(70 - 63.78)² / 63.78] + [(92 - 89.02)² / 89.02] + [(63 - 71.05)² / 71.05] + [(71 - 67.93)² / 67.93]

Chi-square ≈ 3.916

(c) To find or estimate the P-value of the sample test statistic, we need to compare the chi-square statistic to the chi-square distribution.

so, degrees of freedom= (number of rows - 1) x (number of columns - 1)

= (3-1) x (3-1)

= 4.

So, the P-value is approximately 0.416.

(d) Based on the answers in parts (a) to (c), we will fail to reject the null hypothesis. Since the P-value (0.416) is greater than the level of significance (0.01), we do not have sufficient evidence to reject the null hypothesis that site type and pottery type are independent.

(e) In the context of the application, at the 1% level of significance, we do not have enough evidence to conclude that site and pottery type are not independent.

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The length of the longer diagonal of the given rhombus with side length 51units and shorter diagonal 48 units is equal to 90units.

As given in the question,

Side length of the given rhombus 's' = 51 units

Length of the shorter diagonal of given rhombus 'a' = 48 units

Let us consider length of the longer diagonal of the given rhombus be 'b'

As per the property of the rhombus:

Diagonals of the rhombus bisects each other at right angle

Triangle formed by side length bisecting diagonals is right angled triangle.

Using Pythagoras theorem we have,

(Side length)² = (a/2)² + (b/2)²

Substitute the values

⇒ (51)² = (48/2)² + (b/2)²

⇒2601 = 576 + (b/2)²

⇒(b/2)² = 2601 -576

⇒(b/2)² = 2025

⇒b/2 = √2025

⇒ b/2 =45

⇒ b = 90units

Therefore, the length of the longer diagonal of the given rhombus is equal to 90units.

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Answer:

The answer is D.

Step-by-step explanation:

The equation is V=1/3(3.14(pi))r/\2(R squared)H

The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: \(\sum\limits^7_{n=1} {9n - 2}\)

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

Start by calculating the nth term using:

a(n) = a + (n - 1) * d

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7  - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

\(\sum\limits^7_{n=1} {9n - 2}\)

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Answer: #x = -6# is a vertical line crossing the x-axis at -6. It does not cross the y-axis at all, so there is no y-intercept. Lines which are vertical are said to have an infinite or undefined gradient. The definition of gradient is #("change in y-values")/("change in x-values")# As there is no change in the x-values the denominator would be 0.

Step-by-step explanation: mark me branliest

An eating disorder characterized by bingeing and purging is called bulimia nervosa.

The minimum amount of body fat needed for good health is variable and can depend on factors such as age, gender, and individual circumstances. However, essential body fat is typically estimated to be around 3-5% for men and 8-12% for women.

The term used to describe a person who is very overfat is obese. Obesity refers to having excessive body fat, which can have negative effects on health.

People with anorexia nervosa, an eating disorder characterized by restrictive eating and an intense fear of gaining weight, often see themselves as too fat even when they are extremely thin. This distorted body image is a characteristic feature of anorexia nervosa.

A technique for assessing body fat levels that involves being weighed under water is called hydrostatic weighing or underwater weighing. It is considered one of the more accurate methods for determining body composition.

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The variable associated with the interior and exterior angles in the triangle is equal to 56.

The value of the exterior angle is equal to 116°.

This question presents the case of a geometric system formed by a triangle and a semirray that includes two interior angles and a exterior angle. Please notice that the sum of the measures of interior angles in a triangle equals 180° and the sum of two supplementary angles equals 180°.

First, derive the equation of the missing interior angles in triangle PQR:

m ∠ R = 180° - 60° - x

m ∠ R = 120° - x

Second, obtain the equation for the two supplementary angles:

(120° - x) + (2 · x + 4°) = 180°

124° + x = 180°

x = 56

Third, determine the value of the exterior angle:

θ = 2 · x + 4

θ = 2 · 56 + 4

θ = 116°

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Approximately 19.9919 pounds of bananas are removed from the display table during the first 2 hours the store is open.

The function has a constant term 10, which represents the minimum rate of banana removal even if no customers are present.

The second function is g(t), which models the rate at which bananas are added to the display table.

Now, to answer the question, we need to find out how many pounds of bananas are removed from the display table during the first 2 hours. We can do this by integrating the function f(t) from 0 to 2, which gives us the total amount of bananas removed during this time interval. Using the integral notation, we have:

Total amount of bananas removed = ∫₀² f(t) dt

Using the formula for f(t), we can evaluate this integral as follows:

∫₀² [10 + (0.81)sin(100t)] dt = [10t - (0.81/100)cos(100t)] from 0 to 2

Plugging in the limits of integration, we get:

[10(2) - (0.81/100)cos(200)] - [10(0) - (0.81/100)cos(0)] = 20 - 0.0081 ≈ 19.9919 pounds

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Complete Question:

When a certain grocery store opens, it has 50 pounds of bananas on a display table. Customers remove bananas from the display table at a rate modeled by

f(t) = 10 + (0.81)sin 100 for 0

where f(t) is measured in pounds per hour and is the number of hours after the store opened. After the store has been open for three hours, store employees add bananas to the display table at a rate modeled by

8(t) = 3 + 2.4 In (12 + 2+) for 3

where g(t) is measured in pounds per hour and is the number of hours after the store opened.

(a) How many pounds of bananas are removed from the display table during the first 2 hours the store is open?

Center = (-1,0)   Radius= 1

when you complete the square your equation should look something like

(x²+2x+1) (y²+0) = 1.The 1 on the left side coming from (b/2)² which is (2/2)² which equals 1 and whatever you add to one side, you have to add to the other so when you add 0+1 you get the 1 on the right side. Then factor or use the (b/2) from earlier without the ² so you should get (x²+1) + (y²+0) = 1. Flip the sign so you have negative 1 and 0. For the radius, square the right side and of course, \(\sqrt{1}\) is simply 1 so your radius is 1. A lot of 1's huh? lol at least it makes the operations nice and simple :)

Answer:

He can buy 6 liters because £0.80 x 6 = £4.80. So he will have £5.00 - £4.80 = £0.20 left over. 20p.

Step-by-step explanation:

welcome

Alexa needs to put approximately 2.67 cubic feet of soil in each flower pot.

In mathematics, division is the process of dividing a given amount into equal parts. For instance, a group of 20 individuals can be divided into four groups of five people each, or five groups of four people each, and so on.

here, we have,

Calculation

We have been given that Martha has 8 cubic feet of putting soil in the 3 flowerpots. She wants to put the same amount of soil in each pot.

To find the amount of soil in each pot, we need to divide total soil (8 cubic feet) by number of pots (3) as shown below:

Amount of soil in each pot = 8/3 cubic feet

                                             = 2.67 cubic feet (approx.)

Therefore, Alexa needs to put approximately 2.67 cubic feet of soil in each flower pot.

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Answer:

I'm sorry, I don't have enough information to answer that question. How much of the wall has already been painted?

Linear equations in slope intercept form for the given scenarios:

Juwan: y = 4x + 4

Jamie: y = 3x

Linear equations in standard form for the given scenarios:

Juwan: y - 4x = 4

Jamie: y - 3x = 0

Where, y = current stock value and x = number of times the stock value increased.

Domain: Set of natural number.

Range: Real number greater than or equal to 0.

This scenario is an example of causation.

The standard form of a line is Ax + By = C, where A and B are not both zero.

In the given scenario, we take

y =  the present stock value of Jamie and Juwan.

x = number of times the stock value increased.

where, y depends upon x.

Juwan: y - 4x = 4

Jamie: y - 3x = 0

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Juwan: y = 4x + 4

Slope = 4

y - intercept = 4

Jamie: y = 3x

Slope = 3

y - intercept = 0

The domain is the set of all the input values of a function and range is the possible output given by the function.

In this particular question, x is the number of times stock price increased. Thus, it can be 0, 1, 2, 3....set of natural number. y is the current stock price. The stock price was positive in the beginning and has been increasing since then, therefore y lies in the set of positive real number.

Causation means that one variable causes another to change, which means one variable is dependent on the other. Here, the price of stock depends upon the number of times its value increased.

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The reliability of the given system is 0.4033.

To calculate the reliability of a system, we need to multiply the reliability values of all the components in the system. In this case, we have a system composed of three components with the following reliability values:

Component 1: 0.90

Component 2: 0.90 0.90 0.85

Component 3: 0.85 0.85 0.92

To find the overall system reliability, we multiply these values together:

System reliability = Component 1 reliability x Component 2 reliability x Component 3 reliability

System reliability = 0.90 x (0.90 x 0.90 x 0.85) x (0.85 x 0.85 *x 0.92)

System reliability ≈ 0.90 x 0.6831 x 0.6528 ≈ 0.4033

Therefore, the reliability of the given system is 0.4033.

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