$12.88 and the monthly cost for 70 minutes is $16.91. What is the monthly cost for 60 minutes of calls?

Answer:

(a) ratio of all books to new books is   17 : 8  

or in quotient form: 17/8

(b) ratio of all books to used books is  17 : 9

or in quotient form: 17/9

Step-by-step explanation:

Number of new books = 8

Number of used books =  9

Total number of books = 17

Recall also that ratios are written with the symbol ":" in between the first quantity and then the second quantity, thus the symbol ":" replacing the word "to". For example "Ratio of a to b is written with the symbology:

a : b

which can also be translated to the quotient expression: a/b

Then the requested ratio of

(a) all books to new books is   17 : 8  

or in quotient form: 17/8

(b) all books to used books is  17 : 9

or in quotient form: 17/9

Answer:

-2

Step-by-step explanation:

Subtracting a negative number is the same as adding it, so this is basically just negative 8 plus 6, which is -2. Don't know who was right though, you kinda left that part of the question out.

The correct statements about the box plots are:

the median of nadia’s data is equal to the median of ben’s data.

nadia had the highest score on a test.

A box plot is used to study the distribution and level of a set of scores. The scores are distributed into 4 groups. Each group has a value of 25%

The ends of the whiskers represents the minimum score and the maximum score.  The maximum score of Nadia is 99 while that of Ben is 98.

The median is the line at the center of the box. Both lines are on the same number.

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Answer:

C and D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Supplement of 123° = 180°-123° = 57°

x = 180-57-80 = 43°

Answer:

Use colon method

Step-by-step explanation:

So it is more easy

In mathematics, the point below which a specified percentage of the observations fall is commonly referred to as the percentile.

A percentile is a measure that indicates the relative position of a particular value within a dataset.

For example, if a value is at the 80th percentile, it means that 80% of the observations in the dataset are below that value, and only 20% of the observations are above it.

Percentiles are often used to analyze and understand the distribution of data, especially in fields such as statistics, probability, and data analysis. They provide insights into how individual data points compare to the overall dataset and help identify outliers or extreme values.

A percentile is a statistical measure that indicates the relative standing of a particular value within a dataset. It represents the point below which a specified percentage of the observations or data points fall. Percentiles are primarily used to understand the distribution of data and analyze how individual values compare to the overall dataset.

To calculate a percentile, the dataset is arranged in ascending order, from the smallest value to the largest value. The position of a specific percentile is then determined based on the percentage of data points below it. For example, the 75th percentile represents the value below which 75% of the data points fall.

Percentiles are commonly used in various fields, including statistics, probability, and data analysis. They provide valuable insights into the spread, variability, and distribution of data. Here are a few key points to consider:

1. Median: The median is the 50th percentile, representing the value that divides the dataset into two equal halves. It is a measure of central tendency and provides information about the middle point of the distribution.

2. Quartiles: Quartiles divide the dataset into four equal parts. The first quartile, or the 25th percentile (Q1), represents the value below which 25% of the data points fall. The third quartile, or the 75th percentile (Q3), represents the value below which 75% of the data points fall. The difference between Q3 and Q1 is known as the interquartile range (IQR) and provides insights into the spread of the middle 50% of the data.

3. Percentile Ranks: Percentile ranks indicate the percentage of data points that are below a specific value. For example, if a student scores in the 80th percentile on a standardized test, it means they performed better than 80% of the test-takers.

4. Outliers: Percentiles can be useful in identifying outliers, which are data points that significantly deviate from the rest of the dataset. Extremely high or low percentiles may indicate unusual or extreme values that warrant further investigation.

5. Normal Distribution: In a normal distribution, the 50th percentile (median) coincides with the mean and mode, and specific percentiles have known standard deviations from the mean (e.g., the 68-95-99.7 rule).

Percentiles are versatile tools for summarizing and analyzing data, providing valuable insights into the distribution and relative positions of individual values. They enable comparisons and help make informed decisions based on the characteristics of a dataset.

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All parts of the problem regarding die rolls have been solved and explained below.

In order to find the probability of getting any one point out of the 6 after rolling the die, we first need to Add up all of the number of points in the die, that is -

= 1+2+3+4+5+6

= 21.

We also know that after any roll of one die, the probability of getting about one particular point is 1/6.

So, the expected number of points after one roll can be calculated is-

= 21/6= 3.5

After two rolls, we can just twice the probability of it happening before-

= (2 x 21)/6 = 7.

Similarly, after 100 rolls =  350, and after N rolls, 3.5(N).

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Answer:

5 and 6

Step-by-step explanation:

The number √28 comes between the two integers number will be 5 and 6.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The number is given as √28.

The two integers number will be

√25 and √36

5 and 6

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The length of a rectangular poster is, 14 inches.

We have,

The perimeter of a poster is 76 inches.

And, The length of a rectangular poster is 10 inches more than the width.

Let us assume that,

The width of of a rectangular poster = x

Then, The length of a rectangular poster = 10 + x

Hence, We can formulate,

Perimeter of a rectangular poster = 2 (Lenght + Width)

76 = 2 (x + 10 + x)

38 = 2x + 10

38 - 10 = 2x

2x = 28

x = 14

Therefore, The length of a rectangular poster = 10 + 14 = 24 inches

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Answer:

24x-17y

Step-by-step explanation:

12x-8y+12x-9y

please mark branliest

Answer:

24x−17y

Step-by-step explanation:

4(3x−2y)+3(4x−3y)

Distribute:

=(4)(3x)+(4)(−2y)+(3)(4x)+(3)(−3y)

=12x+−8y+12x+−9y

Combine Like Terms:

=12x+−8y+12x+−9y

=(12x+12x)+(−8y+−9y)

=24x+−17y

Answer:

=24x−17y

For the new random variable y = 6x - 5, where x has a mean of 15 and standard deviation of 6, the mean of y is 85 and the standard deviation of y is 36.

To find the mean and standard deviation of the new random variable y, we need to apply the appropriate transformations to the mean and standard deviation of x.

Mean of y:

The mean of y can be found by multiplying the mean of x by the constant factor (6) and subtracting another constant (5). Therefore, the mean of y is given by:

mean of y = 6 * mean of x - 5 = 6 * 15 - 5 = 85.

Standard deviation of y:

The standard deviation of y can be found by applying the same constant factor (6) to the standard deviation of x. Therefore, the standard deviation of y is given by:

standard deviation of y = 6 * standard deviation of x = 6 * 6 = 36.

Hence, the mean of y is 85 and the standard deviation of y is 36. This implies that the new random variable y, derived from x through the transformation y = 6x - 5, will have a mean of 85 and a standard deviation of 36.

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To create a linear model for Sepal.Width in terms of Sepal.Length and Species without allowing interactions between Sepal.Length and Species, you can use the following equation: Sepal.Width = b0 + b1 * Sepal.Length + b2 * Species_1 + b3 * Species_2

Here,
- Sepal.Width is the dependent variable you want to predict
- Sepal.Length is the independent variable
- Species_1 and Species_2 are binary (dummy) variables representing the different species, excluding one species as the reference category.
- b0 is the intercept term
- b1, b2, and b3 are coefficients that need to be estimated using linear regression

To estimate the coefficients, you will need to perform linear regression on the given data. Once you have estimated the coefficients (b0, b1, b2, and b3), you can plug them into the equation to predict Sepal.Width for any given Sepal.Length and Species. Note that in order to provide the exact equation, data and regression results are necessary.

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Answer: 54

Step-by-step explanation:

1) First, we need to find what 'x' is. We know that the exterior angles of a triangle equal to 360. So, we will add up all the expressions and set them equal to 360.

7x-2 + 9x-31 + 4x +33 = 360.

2) We will add all the like terms, which will give us: 20x + 0 = 360. We don't need to add the 0.

3) Now, we will isolate the 'x' by dividing 360 by 20 and we will get: x= 18.

4) To find the measure of angle DCE, we just have to substitute x in '7x-2' with 18, which then would equal to: 124.

5) Now, that we have the adjacent angle of DCE, we just have to subtract 124 from 180, and we will get the answer.

6) Angle DCE equals to 54.

100% humidity is very common in many coastal zones, near rivers or   lakes or in your bathroom when you take a shower, and possibly in  Alaska as well as UAE.

Relative humidity:

                             Relative humidity is the ratio of the current absolute humidity to the highest possible absolute humidity (which depends on the current air temperature). A reading of 100 % relative humidity means that the air is totally saturated with water vapor and cannot hold any more, creating the possibility of rain. This doesn't mean that the relative humidity must be 100 percent in order for it to rain — it must be 100 percent where the clouds are forming, but the relative humidity near the ground could be much less.

0% humidity means there is an absence of water vapor in the air.

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Here are the correct greedy algorithm representations of the fractions mentioned:

5 = 1/2 + 1/3 + 1/30

6 = 1/2 + 1/3 + 1/6

7 = 1/2 + 1/3 + 1/14

8 = 1/2 + 1/4

9 = 1/2 + 1/3 + 1/18

10 = 1/2 + 1/3 + 1/15

11 = 1/2 + 1/3 + 1/6 + 1/66

12 = 1/2 + 1/3 + 1/4

13 = 1/2 + 1/3 + 1/12 + 1/156

73 = 1/2 + 1/3 + 1/7 + 1/42 + 1/73

In the above representations, each fraction is expressed as a sum of unit fractions that add up to the given fraction. The denominators of the unit fractions are chosen greedily, starting from the largest possible denominator that can be subtracted from the remaining fraction. This process continues until the remaining fraction becomes zero.

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Answer:

b or d

c

Step-by-step explanation:

i hope work

yon lang kaya ko

The standard form of the LP is

min z = 3x1 + x2
s.t.
x1+ - 3 >= 0
x2 >= 0
x2 <= 4 - x1
2x1 - x2 + s = 3
x1+, x1, x2, s >= 0.

The problem is in standard form with all constraints as "≤" inequalities and all variables non-negative.

To convert the given linear programming problem (LP) into standard form, we need to make sure that all the constraints are of the form "≤" and the objective function is in the form of "minimize" or "maximize" with all variables on the right side.

1. Start by converting the objective function. The given objective function is already in the form of "minimize," so no changes are needed.

2. Next, convert the first constraint, x1 >= 3. Since it is already in the correct form, we can move on to the second constraint.

3. Convert the second constraint, x1 + x2 <= 4. To convert it to the "≤" form, subtract x1 from both sides: x2 <= 4 - x1.

4. Now, convert the third constraint, 2x1 - x2 = 3.

Since it is an equation, we need to introduce a slack variable to convert it into an inequality.

Add a new variable, s, and rewrite the constraint as follows: 2x1 - x2 + s = 3.

5. Finally, we need to ensure that all variables are non-negative.

The given constraint x2 >= 0 is already in the correct form, but x1 has no explicit lower bound.

To address this, we can introduce a new variable, x1+, and rewrite x1 as the difference between x1+ and 3: x1 = x1+ - 3.

The standard form of the LP is now:
min z = 3x1 + x2
s.t.
x1+ - 3 >= 0
x2 >= 0
x2 <= 4 - x1
2x1 - x2 + s = 3
x1+, x1, x2, s >= 0.

In summary, the LP is converted to standard form by rewriting the constraints and introducing additional variables as necessary to ensure all constraints are in the form of "≤" and the objective function is in the form of "minimize."

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Answer:

6

Step-by-step explanation:

set x=0 and solve

(0+4)(0+2)=y

y=6

Answer:

65 oop

Step-by-step explanation: o0iiutdgc vhy

Answer:

5.2 , 4.8 , 5.5 is 0.2

4.7 , 5,3 , 4.9 is 0.7

Answer:

distance = 13 units

Step-by-step explanation:

(-2 , -6)=(x1 , y1)

(-7 , 6)=(x2 , y2)

distance formula:

=\(\sqrt{(x2-x1)^2 + (y2-y1)^2}\)

=\(\sqrt{{(-7-(-2)}^2 + {6-(-6)}^2}\)

=\(\sqrt{(-7+2)^2 + (6+6)^2}\)

=\(\sqrt{(-5)^2 + (12)^2}\)

=\(\sqrt{25+144}\)

=\(\sqrt{169\)

=13 units

Answer:

Step-by-step explanation:

y=-4/7 x+6

slope=-4/7

slope of line perpendicular to it=-1\(-4/7)=7/4

reqd. line is y=(7/4)x+3

or

y=(7/4)x-3

Answer:

12

Step-by-step explanation:

48/4=12

perimeter of squre is 4l so the length of a squre side is 12 (4*12=48)

Answer:

The common ratio of this sequence is 1/3, so to find the next three terms we can continue multiplying by 1/3:

1/3 * 1/3 = 1/9

1/9 * 1/3 = 1/27

1/27 * 1/3 = 1/81

Therefore, the next three terms in the sequence are 1/9, 1/27, and 1/81.

1/9, 1/27, and 1/81 are the next 3 numbers in the Geometric sequence 9, 3, 1, 1/3

The given geometric sequence is 9, 3, 1, 1/3.

To find the common ratio, we divide any term by the previous term. Let's use the second and first terms:

3 ÷ 9 = 1/3

The common ratio is 1/3.

To find the next three terms, we can continue multiplying each term by the common ratio.

1/3 * (1/3) = 1/9

(1/3) * (1/9) = 1/27

(1/9) * (1/27) = 1/81

Therefore, the next three terms in the geometric sequence are 1/9, 1/27, and 1/81.

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Using the slope formula, we can conclude that the slope of the line is m = 2.

So, the slope of the line is:

Now, put the values and solve for the slope as follows:

Therefore, using the slope formula, we can conclude that the slope of the line is m = 2.

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Answer:

False

Step-by-step explanation:

Given the following question:

\(1-41\)

To find the answer we simply just have to subtract 41 from 1.

\(1-41\)
\(1-41=-40\)
\(=-40\)

Your answer is the second option or "false."

Hope this helps.

The minimum possible value of f(6) − f(1) is 15 and the maximum possible value of f(6) − f(1) is 25.

Suppose that 3 ≤ f '(x) ≤ 5 for all values of x. We are required to find the minimum and maximum possible values of f(6) − f(1).

Now, let us solve this problem by applying the Mean Value Theorem (MVT).

Using the Mean Value Theorem, we know that there exists a value c in (1, 6) such thatf'(c) = [f(6) - f(1)] / [6 - 1].

Given that 3 ≤ f '(x) ≤ 5 for all values of x.

We are to find the minimum and maximum possible values of f(6) − f(1).

Now we have to solve the problem by applying the Mean Value Theorem.

Using the Mean Value Theorem, we know that there exists a value c in (1, 6) such that

f'(c) = [f(6) - f(1)] / [6 - 1]

Since 3 ≤ f '(x) ≤ 5 for all values of x, 3 ≤ f'(c) ≤ 5.

Hence, we have 3 ≤ [f(6) - f(1)] / 5 ≤ 5

Multiplying by 5, we get 15 ≤ f(6) - f(1) ≤ 25.

So, the minimum possible value of f(6) − f(1) is 15 and the maximum possible value of f(6) − f(1) is 25.

Since 3 ≤ f '(x) ≤ 5 for all values of x, 3 ≤ f'(c) ≤ 5.Hence, we have 3 ≤ [f(6) - f(1)] / 5 ≤ 5

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"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.

The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,

we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)

= 13.8 ± (1.96 × 1.088)

= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13

= 15.9313.8 - 2.13

= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].

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Answer:

15,600,000

Step-by-step explanation:

26 x 25 x 24 x 10 x 10 x 10 x 10 = 15,600,000

So, there are 15,600,000 possible license plates that can be constructed if no letter can be repeated.