The mean age of flight attendant of Quantas is 40 years old with a standard deviation of 8. What percent of the data set lies between 20 and 60 ? a.) k= To tenths. b.) % No decimals. No units.

Answer:

65%

Step-by-step explanation:

A state license plate consists of three letters followed by three digits. If repetition is allowed, the number of different ways in which license plates are possible is 17,576,000.

An arrangement of items in a specific order is referred to as a permutation. When the order of the arrangements counts, it is a mathematical technique that establishes the total number of alternative arrangements in a collection.

Calculation for the permutation -

Three letters are followed by three digits on a state license plate.

26 letters from a to z and 10 numbers from 0 to 9 make up the alphabet.

The potential of arrangements is due to the license plate's composition of three letters and three numerals.

Total ways = 26×26×26×10×10×10

                  = 17,576,000

Therefore, the number of different ways in which license plates are possible is 17,576,000.

To know more about the permutation, here

https://brainly.com/question/1216161

#SPJ4

Answer:

hope its what you are searching for....

The correct representation of the number of years it will take light to travel from Earth to Jupiter at the given distance is 6.21 × 10⁻⁵ light years.

Given that,

The distance light travels in one year is known as a light year.

A light year is equal to 5.87 × 10¹² miles.

The closest that Earth ever gets to Jupiter is 3.65 × 10⁸ miles.

We have to find the number of years it will take light to travel from Earth to Jupiter at this distance.

Distance to travel 5.87 × 10¹² miles = 1 light year

Distance to travel 1 mile = 1 / (5.87 × 10¹²) light year

Distance to travel 3.65 × 10⁸ miles = (3.65 × 10⁸) × 1 / (5.87 × 10¹²) light years

= 0.6218 × 10⁸⁻¹² light years

= 0.6218 × 10⁻⁴ light years

= 6.21 × 10⁻⁵ light years

Hence the correct time is 6.21 × 10⁻⁵ light years.

Learn more about Light Years here :

https://brainly.com/question/3492531

#SPJ1

Answer:

a is Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First let's find the value of x :

We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2

Let's find the hypotenuse :

The pythagorian theorem :

The probability of selecting two red marbles from a jar containing 5 red marbles, 3 blue marbles, and 2 white marbles, with replacement, is (5/10) * (5/10) = 1/4 or 0.25.

Since we are replacing the marble after each selection, the probability of selecting a red marble on the first draw is 5 out of 10, as there are 5 red marbles out of a total of 10 marbles in the jar. After replacing the marble, the jar remains with the same number of marbles, including 5 red marbles. Thus, the probability of selecting a red marble on the second draw is also 5 out of 10.

To find the probability of both events occurring, we multiply the individual probabilities together: (5/10) * (5/10) = 25/100 = 1/4 = 0.25. Therefore, the probability of selecting two red marbles is 1/4 or 0.25.

To learn more about probability click here: brainly.com/question/32117953
#SPJ11

Answer:

15

Step-by-step explanation:

Percentages represent a proportion of a number. This means that a percentage represents part of a whole.

In this question, Captain Perguin ate 10% of 150 crackers. There are 2 ways to solve this problem explained below.

Multiplication

One way to find a percentage is through multiplication.

Shortcut

Multiplication is not the only way to find the answer. This question is special because it asks for 10%. Instead of multiplication, you could simply move the decimal point of the original number 1 digit to the left. This means that 10% of 150 must be 15. Remember this trick does not work for percentages other than 10%.

To determine whether the series ∑(n=1 to infinity) 7n/n is convergent or divergent, we can apply the ratio test. The ratio test helps us determine the convergence or divergence of a series by examining the limit of the ratio of consecutive terms.

In this case, let's calculate the ratio of consecutive terms using the formula for the ratio test:

lim(n→∞) |(7(n+1)/(n+1))/((7n/n)|

Simplifying the expression, we get:

lim(n→∞) |7(n+1)/n|

As n approaches infinity, the limit evaluates to:

lim(n→∞) |7(n+1)/n| = 7

Since the limit is a finite positive value (7), which is less than 1, the ratio test tells us that the series is convergent.

However, you mentioned identifying an (term) in the series, and it seems there may be an incomplete part of the question. Please provide additional information or clarification about identifying an term in the series so that I can provide a more specific answer.

To learn more about  click here: brainly.com/question/12211820

#SPJ11

Answer:

1. -30

2. 3

3. 40

4. 70

5. 90

6. 90

7. 80

The profit at each level of bicycle production is One bike: -$30

Two bikes: $3

Three bikes: $240

Four bikes: -$70

Five bikes: -$90

Six bikes: -$90

Seven bikes: $270

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The table of bikes produced per day, total cost, total revenue

Now,

To calculate the profit at each level of bicycle production, we need to subtract the total cost from the total revenue.

One bike: Total revenue - Total cost = $50 - $80 = -$30

Two bikes: Total revenue - Total cost = $100 - $97 = $3

Three bikes: Total revenue - Total cost = $350 - $110 = $240

Four bikes: Total revenue - Total cost = $130 - $200 = -$70

Five bikes: Total revenue - Total cost = $160 - $250 = -$90

Six bikes: Total revenue - Total cost = $210 - $300 = -$90

Seven bikes: Total revenue - Total cost = $270 - $0 = $270

Therefore, by algebra the profit at each level of bicycle production will be

One bike: -$30

Two bikes: $3

Three bikes: $240

Four bikes: -$70

Five bikes: -$90

Six bikes: -$90

Seven bikes: $270

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ5

Answer: C. 4 months

Step-by-step explanation:

Someone in the comments said 4 months, tried it, and I got it correct so just passing it on.

Answer:

$2.4

or

$2.40

Hope this helps!-xox

Also please heart or give brainliest!<3

Answer:

$0.20 per bagel

Step-by-step explanation:

subtract .69 from 7.89 to get 7.20. since there are 12 in a dozen, multiply 12 and 3 to get 36. divide 7.20 by 36 and you will get how much each bagel is, which is $0.20. Hope this helps :)

Answer:

Option C, 15.14 units²

Step-by-step explanation:

area of the triangle,

6.82×5.04×sin(61.73)/2

= 15.1365001284..

= 15.14 units² (rounded to the nearest tenth)

The required area of the irregular triangle is 15.14 unit². Option C is correct.

Given that,
A figure of the triangle is shown,
Side AB = a =6.82
Side BC = b = 5.04
Angles, ∠A = 45.03°, ∠B = 61.73°.

The triangle is a geometric shape which includes 3 sides and the sum of the interior angle should not be greater than 180°.

Altitude is perpendicular bisector to the side of the triangle from the opposite vertex of the triangle.

The area of the given triangle can be given as,
Area = 1/2 * a * b sinB
       =  1/2 * 6.82 * 5.04 * sin61.73°
       =  1/2 * 6.82 * 5.04 * 0.88
       =  15.14 unit²

Thus, the required area of the irregular triangle is 15.14 units². Option c is correct.

Learn more about triangles here:
https://brainly.com/question/2773823

#SPJ5

a. Fe and S4 are not independent.

b. Fe and Σo are independent.

c. S4 and Σo are independent.

d. Fe, S4, and Σo are not mutually independent.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

To determine if the given events are independent, we need to check if the probability of their intersection is equal to the product of their individual probabilities.

(a) Fe and S4:

The event Fe: The first die is even.

The event S4: The second die is 4.

These events are independent if P(Fe ∩ S4) = P(Fe) * P(S4).

P(Fe) = 1/2 (since there are three even numbers out of six possible outcomes for the first die)

P(S4) = 1/6 (since there is only one 4 out of six possible outcomes for the second die)

P(Fe ∩ S4) = 1/12 (since there is only one outcome where the first die is even and the second die is 4)

P(Fe ∩ S4) = 1/12 ≠ (1/2) * (1/6) = 1/12

Therefore, Fe and S4 are not independent.

(b) Fe and Σo:

The event Σo: The sum of the two dice is odd.

These events are independent if P(Fe ∩ Σo) = P(Fe) * P(Σo).

P(Fe) = 1/2 (as mentioned above)

P(Σo) = 1/2 (since there are three odd sums out of six possible outcomes for the two dice)

P(Fe ∩ Σo) = 1/4 (since there are three outcomes where the first die is even and the sum is odd: (2, 1), (2, 3), (2, 5))

P(Fe ∩ Σo) = 1/4 = (1/2) * (1/2) = P(Fe) * P(Σo)

Therefore, Fe and Σo are independent.

(c) S4 and Σo:

The event S4: The second die is 4.

These events are independent if P(S4 ∩ Σo) = P(S4) * P(Σo).

P(S4) = 1/6 (as mentioned above)

P(Σo) = 1/2 (as mentioned above)

P(S4 ∩ Σo) = 1/6 (since there is only one outcome where the second die is 4 and the sum is odd: (1, 4))

P(S4 ∩ Σo) = 1/6 = (1/6) * (1/2) = P(S4) * P(Σo)

Therefore, S4 and Σo are independent.

(d) Fe, S4, and Σo:

To determine if these three events are mutually independent, we need to check if the probability of their intersection is equal to the product of their individual probabilities.

P(Fe ∩ S4 ∩ Σo) = P(Fe) * P(S4) * P(Σo)

P(Fe ∩ S4 ∩ Σo) = P(Fe) * P(S4) * P(Σo) = (1/2) * (1/6) * (1/2) = 1/24

However, there are no outcomes where all three events occur simultaneously. Therefore, P(Fe ∩ S4 ∩ Σo) = 0 ≠ 1/24.

Therefore, Fe, S4, and Σo are not mutually independent.

In summary, the events Fe and Σo are independent, while the events Fe and S4, as well as S4 and Σo, are not independent. Fe, S4, and Σo are not mutually independent.

Learn more about probability on:

https://brainly.com/question/13604758

#SPJ4

Answer:

C

Step-by-step explanation:

negative four raised to the sixth power divided by negative four raised to the fourth power

because  negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power

negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power

The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.

This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.

Learn more about Exponents here:

https://brainly.com/question/5497425

#SPJ2

Answer:

\(\frac{c}{a}\) and \(\frac{b}{a}\)

Step-by-step explanation:

sinB = \(\frac{opposite}{hypotenuse}\) = \(\frac{AC}{BC}\) = \(\frac{b}{a}\)

tanC = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{AC}\) = \(\frac{c}{b}\)

Thus

sinB tanC = \(\frac{b}{a}\) × \(\frac{c}{b}\) ( cancel b on numerator/ denominator )

                 = \(\frac{c}{a}\)

---------------------------------------------------------------------------

sinC = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{BC}\) = \(\frac{c}{a}\)

tanB = \(\frac{opposite}{adjacent}\) = \(\frac{AC}{AB}\) = \(\frac{b}{c}\)

Thus

sinC tanB = \(\frac{c}{a}\) × \(\frac{b}{c}\) ( cancel c on numerator/ denominator )

                 = \(\frac{b}{a}\)

Answer:

c = 12n

Step-by-step explanation:

Given:

The coordinates of line are, (-3,2) and (1,10).

The objective is to choose the correct equation of line.

Explanation:

Consider the given coordinates as,

The general formula to find the equation of line using two points is,

On plugging the coordinates in the above equation.

Thus, the equation of the line obtained is y - 10 = 2(x - 1).

Hence, option (A) is the correct answer.

Answer:

2

Step-by-step explanation:

6 is not a factor only terms count as factors

The number 6 is the only number in the expression. Then the correct option is 2.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).

The expression is given below.

⇒ (b + 6)

The number 6 is a factor only terms count as factors because the variable b is the multiple of 6.

The number 6 is the only number in the expression. Then the correct option is 2.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

Histograms are used to demonstrate the distribution of a dataset. They provide a visual representation of the shape and spread of the data, showing how frequently different values occur in the dataset.

Histograms are especially useful when the data is continuous, meaning that it can take on any value within a certain range. They are created by dividing the range of the data into a set of intervals or "bins," and then counting the number of data points that fall within each bin.

The resulting bar chart shows the frequency of data points in each bin, with the height of each bar representing the number of data points in that bin.

Histograms can be used to reveal important features of the data, such as its central tendency, variability, and skewness. They can also be used to identify outliers or unusual patterns in the data. By showing the overall pattern of the data, histograms can provide insights that would be difficult to discern from a simple list of numbers or a table.

In a presentation, histograms can be used to help the audience understand the nature of the data and draw conclusions based on its distribution. They can also be used to compare the distributions of different datasets, to identify similarities or differences between them.

To learn more about histograms click on,

https://brainly.com/question/29317264

#SPJ4

Answer:

Step-by-step explanation:

Here,

\( \sqrt{8745 \times 8745} \)

= 8745 (Ans)

Answer:

63 3/4

Step-by-step explanation:

First:

convert any mixed numbers to fractions.

Then your initial equation becomes:

17/2 ÷ 2/15

Applying the fractions formula for divison,

= 17/2×15/2

= 255/4

Simplifying 255/4, the answer is = 63 3/4.

Hope this helps :)

Answer:

63.9

Step-by-Step Expectation:

8.5/0.133=63.9

To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

To know more about hypothesis test refer here:

https://brainly.com/question/29996729?#

#SPJ11

Answer:

42.39 sq.cm

Step-by-step explanation:

Ф = 135°

r  = 6 cm

Area of the sector = \(\frac{theta}{360}*\pi *r^{2}\\\)

  \(= \frac{135}{360}* 3.14 *6 * 6\\\\= \frac{135}{10}*3.14\\\\= 27 * 1.57\\\\=42.39\)

The area of sector bounded by 135 ° arc is 42.42 cm ².

Step-by-step explanation:

Radius of the circle , r = 6 cm

Angle of the circle, θ = 135 °

Area of circle bounded by a 135 ° arc.

We know that

\(\small \sf \: Area \: of \: sector \: = \frac{θ}{360} \: \times \pi \times r {}^{2} \\ \)

Substitute the values of r and θ , we get

Area of sector =

\(\small \sf \: Area \: of \: sector \: = \frac{135 °}{360} \: \times \pi \times {6cm}^{2}\\ \)

\(\small \sf \: Area \: of \: sector \: = \frac{135°}{360} \: \times \frac{22}{7} \times 6cm \times 6cm \\ \\ \small \: \sf Area \: of \: circle \: = \frac{135}{360} \times \frac{22}{7} \times 36cm {}^{2} \\ \sf \: \: = \frac{135}{10} \times \frac{22}{7} \\ \sf \: = 42.42cm \: {}^{2} \)

Therefore, The area of sector bounded by 135 ° arc is 42.42 cm ².

Answer: 2m+1/2

Step-by-step explanation: 2m=-6n+3

2m-3=-6n

(2m-3)/-6

n= 2m+1/2

Two length of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. Given that the pool in this instance is 24 m long and has six loops, the wavelength is 4 m.

Wavelength = Length of Pool / Number of Loops

24 m / 6 loops

= 4 m

Wavelength

= 4 m

Two waves of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. A stationary wave pattern is produced when the two waves collide and interfere with one another. Six loops make up the 24 m-long pool in this instance. As a result, the standing wave's wavelength is equal to the pool's length divided by the number of loops, or 24 m / 6 = 4 m. This indicates that the standing wave's wavelength is 4 metres. Standing waves can be used to determine a wave's speed because they are equal to wavelength times frequency. Understanding how waves behave in various contexts, such as swimming pools, oceans, or other bodies of water, can be helped by this.

Learn more about length here

https://brainly.com/question/13194650

#SPJ4

Approximately 1.85 acres of land will remain unbuilt after constructing the 5,000-square-foot ranch home.

To determine the amount of land remaining, we need to use subtraction formula. convert the square footage of the house to acres. Since 1 acre is equal to 43,560 square feet, we can divide 5,000 square feet by 43,560 to obtain the portion of an acre occupied by the house.

5,000 square feet / 43,560 square feet per acre ≈ 0.1147 acres

Therefore, the house will occupy approximately 0.1147 acres of land. To find the remaining land, we subtract this from the original 2 acres of land.

2 acres - 0.1147 acres ≈ 1.8853 acres

learn more about subtraction formula here:

https://brainly.com/question/29075270

#SPJ11

Answer:

The width is 5 because if you multiply 16 by 8 by 5 you will get 640 cubed.

For the given function f(x) the graph has a domain of (-5 , 0). For the function g(x) represented by the table the domain is given by the values (-3, 3).

The set of all potential inputs or independent variables for which a function is defined is known as the domain of the function in mathematics. In other words, it is the collection of all possible x-values for the function. On the other hand, the collection of all potential dependent variables or outputs that a function may produce for the specified inputs is known as the range of the function. It is the collection of all y-values that the function is capable of producing.

Given that the function f(x) is the graph while the function g(x) is represented by the table.

For the given function f(x) the graph has a domain of (-5 , 0). The range of the function is (4, infinity). The vertex of the function is given by the coordinates (2, 4). The axis of symmetry of the parabola is x = -2.

For the function g(x) represented by the table the domain is given by the values (-3, 3). The range of the function is given as (25, 1). The x-intercept is at the point 2. The y-intercept is at the point 4.

Learn more about domain here:

https://brainly.com/question/29452843

#SPJ1