A college has buildings numbered from 1 through 60. What is the probability that a student will have their first class in a building number that is not a multiple of 8?

Give your answer as a fraction. Reduce the fraction if necessary.

Answer:

be a school leader as an adolescent

Step-by-step explanation:

Answer:

D. because all irrational numbers are real numbers.

Step-by-step explanation:

Real numbers include virtually all numbers we can come up with, either negative or positive, rational or irrational, decimals, etc. They are not imaginary numbers.

Irrational numbers include all numbers that cannot be written as a quotient of two integers. They are numbers whose decimals are never terminating. Examples include π, √2 etc.

Irrational are a subset of real numbers.

Therefore, the correct venn diagram that shows this relationship between Set R {real numbers} and Set Q {irrational numbers} is the venn diagram in option D (last option), because, all irrational numbers are real numbers.

Answer:x-9

Step-by-step explanation:

Simplifying

Solving for variable

Move all terms containing x to the left all other terms to the right

Devide each side by 16

X=9

Answer:

sqrt (233)

Step-by-step explanation:

Use pythagorean theorem

a^2 + b^2 = hypotenuse^2

8^2 + 13^2 = hypot^2

233 = hypot ^2          hypot = sqrt 233

Answer:

Step-by-step explanation:If Jeannette paid the full amount for both children to go to school, what was her total expense for tuition and fees for 1 year? 108. Clyde and Mason each leave a rest area on the Florida Turnpike. Clyde travels north and Mason travels south. After 2 hr, Clyde has gone 138 mi and Mason, who ran into heavy traffic, traveled only 96 mi.

Answer:

Helps with problem solving and trains your brain.

Step-by-step explanation:

Math is considered to be important because it is very important to know the fundamental math skills. These can be applied in say for example, financing, budget, and your bank accounts. Without having these basic math skills it will be hard to understand your money and keeping track of it. Also, math helps to build your brain with problem solving. It trains it to understand concepts.  

Answer: Math is importent because we use it for a lot of things like cooking, shoping, taxe,s and houses payments.

Step-by-step explanation:

Answer:

(0,-3)

Step-by-step explanation:

Apex

Answer:

10 y^2  + 5ab

Step-by-step explanation:

3y^2 + 4ab + 7y^2 + ab

Combine like terms

3y^2 + 7y^2   + 4ab +ab

10 y^2  + 5ab

The most important step in financial planning is to create a budget.

What is financial planning?

The process of setting and achieving long-term financial goals is called financial planning. It involves evaluating one's current financial resources, setting financial objectives, and devising a plan to achieve those objectives. It also entails developing savings, managing debt, and creating a budget.

According to the given question:

Financial planning is crucial because it enables individuals and families to better manage their finances and ensure that they will be able to achieve their desired objectives. Additionally, it aids individuals in making sound financial decisions and preventing costly errors.

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Answer:

0.2

Step-by-step explanation:

Change the divisor 0.16 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

3.22 ÷ 16 = 0.20125

and therefore:

.03220 ÷ .16 = 0.20125

Both calculated to 5 decimal places.

The probability that they will each win a game = 0.24

Given,

The probability that Trevor will win the game p = is 0.6

The formula we will use for calculating Trevor losing the game

⇒ q = 1 - p

Now the probability of Trevor losing the game ⇒ q = 1 - 0.6

= 0.4

Now the probability that Brian wins = 0.4 when Trevor loses and the probability that Trevor wins = 0.6 when Brian loses the game.

Now the four possibilities that will decide the outcome for 2 ping pong games-

Total probability = 0.36 + 0.24 + 0.24 + 0.16

= 1

Therefore, the probability that they each win one of the games = is 0.24

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Answer:

12x+6

Step-by-step explanation:

7x+(6+5x)

- add like terms

12x+6

Hope This Helps!

Answer:

12x+6

Step-by-step explanation:7x+(6+5x)

when there is a+ in front of an expression in parentheses, the expression remains the same

=7x+6+5x

collect like terms which are 7x and 5x

=12x+6

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One bagel costs 155 cents.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.

Let x = cost of one bagel

y = cost of one toast

z = cost of one muffin

If two pieces of toast and a bagel costs $3.15, then 2y + x = 3.15.

2y + x = 3.15   ⇒   x = 3.15 - 2y     (equation 1)

If a bagel and a muffin costs $3.30, then x + z = 3.30.

x + z = 3.30     (equation 2)

Substitute equation 1 to equation 2.

x + z = 3.30     (equation 2)

3.15 - 2y + z = 3.30   ⇒   z = 0.15 + 2y      (equation 3)

If a piece of toast, two bagels, and three muffins costs $9.15, then

y + 2x + 3z = 9.15     (equation 4)

Substitute equations 1 and 3 to equation 4.

y + 2x + 3z = 9.15     (equation 4)

y + 2(3.15 - 2y) + 3(0.15 + 2y) = 9.15

y + 6.30 - 4y + 0.45 + 6y = 9.15

3y = 2.4

y = 0.8

Substitute the value of y to equation 1.

x = 3.15 - 2y     (equation 1)

x = 3.15 - 2(0.8)

x = 1.55

Hence, the cost of one bagel is $1.55 or 155 cents.

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If we compare 450% and \(\sqrt[3]{92}\), then we can see that 450% < \(\sqrt[3]{92}\). So the correct option is a.

In the given question, we have to compare the \(\sqrt[3]{92}\) and 450% using <, >, or =.

We firstly solve the given expression.

Using the calculator:

\(\sqrt[3]{92}\) = 4.514

Now we solve 450%.

450% = 450/100

450% = 4.5

If we compare 450% and \(\sqrt[3]{92}\), then we can see that 450% < \(\sqrt[3]{92}\). So the correct option is a.

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The right question is:

Compare the \(\sqrt[3]{92}\) and 450% using <, >, or =.

(a) 450% < the cube root of 92

(b) 450% > the cube root of 92

(c) the cube root of 92 < 450%

(d) the cube root of 92 = 450%

The perimeter of its varignon parallelogram is 30 units.

Diagonal of varignon parallelogram cross at right angle i.e., 90°.

This makes the parallelogram a rhombus.

now, all sides of the rhombus are equal.

When you cut a trapezium into three pieces it is made up of a central rectangle of height 4 units and 2 congruent right-angled triangles whose hypotenuse is 13 units and side is 5 units.

Using Pythagoras theorem,

Another side = √13∧2-5∧2

=√144

=12

Hence the height of the triangle= 12 units.

Now, consider one of the congruent triangles

Half part of the base is included in the other diagonal but the other half is not.

Since the base is 5 so other diagonal is 2.5.

But there are two right triangles so 2.5*2=5 units from the base are not in the other diagonal.

So the diagonal is 14-5=9 units

Hence the diagonal of the rhombus is 12,9 units

and half of the diagonal is 6 and 4.4 respectively

Again, using Pythagoras theorem,

side of the rhombus is equal to 7.5

Hence perimeter = 4x7.5

perimeter = 30

Therefore, The perimeter of its varignon parallelogram is 30 units.

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One vase of flowers contains eight purple tulips and six yellow tulips. A second vase of flowers contains five purple tulips and nine yellow tulips. An example of dependent events is selecting a purple tulip from the first vase and then selecting a yellow tulip.

The probability of selecting a purple tulip from the first vase is 8/14. Therefore, the probability of selecting a yellow tulip from the first vase is 6/14. Now, the second event is to select a tulip from the second vase. The event of choosing a purple tulip from the second vase is 5/14. Therefore, the second event would depend on the result of the first event. The answer is "yellow tulip" since the two events are dependent on each other.

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If the high temperature on Friday is equal to this week's average daily high temperature, the option that could be Friday's high temperature is: C. -12°.

Using this formula to find the high temperature

High temperature= Last week average daily high temperature + ( -This week average daily high temperature)

Let plug in the formula

High temperature = 12° + (-24°)

High temperature= -12°

Therefore the correct option is C.

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Answer:

A

Step-by-step explanation:

Group like-terms, that is move the numbers to one side of the sign.

Then, divide both sides by 2

The correct statements are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Median number of cars sold by Admiral Autos = 4,10, 15, 17, 19, Median = 15

Median number of cars sold by Countywide cars = 9, 10, 14, 15, 17. Median = 14.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Mean number of cars sold by Admiral Autos = (4 + 10 + 15 + 17 + 19) / 5 = 13

Mean number of cars sold by Countywide cars = (9 + 10 + 14 +  15 + 17) / 5 = 65 / 5 = 13

Range is the difference between the highest and lowest values of a set of observations. It is a measure of variation.

Range = highest value - lowest value

Range of the of cars sold by Admiral Autos = 19 - 4 = 15

Range of the of cars sold by Countywide cars = 19 - 7 = 8

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Answer:

11

Step-by-step explanation:

Let x be the unknown number

2x+5 = 27

Subtract 5 from each side

2x+5-5 = 27-5

2x = 22

Divide each side by 2

2x/2 = 22/2

x = 11

The number is 11

Answer:

11

Step-by-step explanation:

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

The coordinates of the vertices of the translated shape are (-4, 7), (-1, 7), (-4, 5), and (1, 5).

Transforming an object from one place to another without altering its size or shape is known as translation. Contrarily, the term "transformation" refers to a wider range of procedures that can alter the size, shape, or orientation of an item. Rotation, reflection, and scaling are some more forms of transformation in addition to translation.

The given vector is (-5, 3).

To translate the graph add the vector to the coordinates as follows:

(1, 4) + (-5, 3) = (-4, 7)

(4, 4) + (-5, 3) = (-1, 7)

(1, 2) + (-5, 3) = (-4, 5)

(6, 2) + (-5, 3) = (1, 5)

Hence, the coordinates of the vertices of the translated shape are (-4, 7), (-1, 7), (-4, 5), and (1, 5).

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The probability that the experiment results in 9 or more successes = 0.0676

A binomial distribution is given by,

P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ  ,

where p is the probability of success and x is the random variable for success in n trials.

A binomial experiment has only two outcomes- success or failure.

Here, the number of trials, n = 10

Probability of success = 0.63

The probability for 9 or more success = P( X = 9, 10)

                                                               = P (X = 9) + P(X = 10)

So P( X = 9) =  ¹⁰C₉ (0.63)⁹ (1-0.63)¹⁰⁻⁹

                   = 10 x 0.0156 x 0.37

                   = 0.05772

and P(X = 10) = ¹⁰C₁₀ (0.63)¹⁰(1-0.63)¹⁰⁻¹⁰

                     = 1 x 0.009849 x 1

                     =  0.009849

Hence probability for 9 or more success = 0.05772 + 0.009849

                                                                    = 0.067569

                                                                    = 0.0676

The question is incomplete. Find the complete question below:

A binomial experiment with probability of success 0.63 and 10 trials is conducted. What is the probability that the experiment results in 9 or more successes? Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.)

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Answer:

Step-by-step explanation:

The implied utilization of the resources in the process can be calculated by dividing the demand rate by the total capacity of the resources. In this case, the total capacity is 1.1 + 0.93 = 2.03 clients per hour. Therefore, the implied utilization is 0.75 / 2.03 = 0.369 (or 36.9%).

The implied utilization represents the proportion of the available capacity that is being utilized to meet the demand. In this scenario, approximately 36.9% of the total capacity is being utilized to serve the clients. This indicates that there is still some unused capacity available in the process.

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The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

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Wayne's Actual ACT score is 19.2 where mean is 21, standard deviation is 5 and the Z - score is -0.6.

Standard Deviation:

Standard deviation is  a measure of the dispersion of a set of numerical values from their mean.

The general form of the standard deviation is,

\(SD=\sqrt{\frac{\sum (x_i-\bar{x})}{n} }\)

where

xi is each value in the data set,

x-bar is the mean, and

n is the number of values in the data set.

Given,

Mean = 21.

Standard deviation = 5

Wayne's standardized score on the act = −0.6 .

Here we need to find the Wayne's Actual ACT score.

Let x be the Wayne's Actual ACT score.

So,
=> z-score = (x - mean)/SD

Apply the values on it,

=> -0.6 = (x - 21) / 3

=> -1.8 = x - 21

=> x = 21 - 1.8

=> x = 19.2

Therefore, Wayne's Actual ACT score is 19.2

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The given sample cannot be reasonably regarded as a sample from a large population of cars with a mean weight of 1500 kg and a standard deviation of 130 kg.

The null hypothesis, H₀, is: H₀: µ = 1500 kg.The alternative hypothesis, H₁, is H₁: µ ≠ 1500 kg. The formula for the test statistic is as follows:

z = (X - µ) / (σ / √n) = (1000 + B - µ) / (130 / √500)

Where X is the sample mean weight, µ is the population mean weight, σ is the population standard deviation, and n is the sample size. Substituting the values given in the question:

z = (1000 + 921 - 1500) / (130 / √500)≈ -22.99

The test statistic follows a standard normal distribution. The 5% level of significance corresponds to a z-score of ±1.96. Since the test statistic z = -22.99 lies in the rejection region, we can reject the null hypothesis and conclude that the sample is not from a population with a mean weight of 1500 kg.

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Answer:

A is the answer

Step-by-step explanation:

there are more two-legged pirates than one-legged pirates

Answer:

53.3333333333333

Step-by-step explanation:

I just divied 600 with 11.25