2. Cornerstone High School has 1860 students.
45% of the students bike or walk to school.
372 students drive to school.
• The remaining students travel to school by bus.
●
How many students travel to school by bus?
a.651
b.837
c.1209
d.1443

Philippa can buy 12 packs of mini jam jars, 9 packs of lids, and 4 packs of labels without having any items left over.

To find the smallest number of packs of each item Philippa can buy without having any items left over, we need to find the least common multiple (LCM) of 12, 16, and 36. The LCM is the smallest number that is a multiple of all three numbers.

We can find the LCM by listing the multiples of each number and finding the smallest number that appears in all three lists:

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144...

Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144...

Multiples of 36: 36, 72, 108, 144...

The smallest number that appears in all three lists is 144. Therefore, the LCM of 12, 16, and 36 is 144.

To find the smallest number of packs of each item Philippa can buy, we need to divide the LCM by the number of items in each pack:

Packs of mini jam jars: 144 ÷ 12 = 12

Packs of lids: 144 ÷ 16 = 9

Packs of labels: 144 ÷ 36 = 4

Learn more about least common multiple here:

https://brainly.com/question/16054958

#SPJ11

It should be noted that point C is located at (2.6, 1.8).

The length of horizontal side = (xB − xA) = 4 units

length of vertical side = (yB − yA) = 2 units

To find the x-coordinate of the point that divides the horizontal side in the ratio 2 : 3, first convert the ratio between the parts into the fraction of the sum that the first part is equal to:    a/a+b= 2/2+3= 2/5

Multiply the length of the horizontal side by the fraction, and then add the result to the x-coordinate of point A:  Xc= Xa  + (a/a+b) (Xb - Xa) = 1+ (2/5 x 4) = 2.6

Multiply the length of the vertical side by the fraction, and then add the result to the y-coordinate of point A:  Yc= Ya  + (a/a+b) (Yb - Ya) = 1+ (2/5 x 2) = 1.8

It follows that point C is located at (2.6, 1.8).

Learn more about segment on:

https://brainly.com/question/2437195

#SPJ1

You will use the GeoGebra geometry tool to divide a line segment in a given ratio. Go to line segment ratios, and complete each step below. If you need help, follow these instructions for using GeoGebra.

Question 1

Any line segment that is not horizontal or vertical can be represented as the hypotenuse of a right triangle whose legs are aligned with the x- and y-axes. In GeoGebra, is shown as the hypotenuse of such a triangle. You will divide in the ratio 2 : 3 using the ideas you’ve seen so far in the lesson:

Find and record the lengths of the horizontal and vertical sides of the right triangle.

Find and record the x-coordinate of a point that divides the horizontal side in the ratio 2 : 3. Use the formula from the lesson to guide you:

.

Find and record the y-coordinate of a point that divides the vertical side in the ratio 2 : 3. Use the formula from the lesson to guide you:

Answer:

 A(1,1) and B(5,3) are the coordinates. 4 units make up the horizontal side, while 2 units make up the vertical side.

Step-by-step explanation:

god told me in a dream.

The product of the fraction, 6 and 2/6 is greater.

A fraction is expressed as p/q, where q is equal to 0.

Proper fractions, in which the numerator is less than the denominator, and improper fractions, in which the numerator is higher than the denominator, are the two sorts of fractions.

Given, Are the product of two fractions, First one is 2 and 5/6 which is,

= (5/6)×2.

= 10/6.

= 5/3.

The second product is, 6 and 2/6 which is,

= 5×(2/6).

= 12/6.

= 2.

So, The product of 6 and 2/6 is greater.

Q. Which products are greater than 2 and 5\6 or 5 and 2/6?

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ1

Answer:

Below

Step-by-step explanation:

For the x distance   -2 to 5   is 7 units

for the y distance   2 to 8 = 6 units

Pythagorean Theorem

 7^2 + 6^2 = d^2

  49 + 36 = d^2

  d^2 = 85       d = [tex]\sqrt{85}[/tex]   =~ 9.2  units  

The expected population size after two generations is 216.

To calculate the expected population size after two generations using the given value of λ, we can use the formula:

[tex]Nt = N0 * lemda ^{t}[/tex]

where Nt is expected population size after t generations,

N0 is the initial population size, and lemda (λ) is the geometric growth rate.

Here, initial population size is N0 = 150, and the growth rate is λ = 1.2. We want to find the expected population size after two generations, so t = 2.

Putting these values into the formula, we get:

[tex]Nt = 150 * (1.2)^{2} \\Nt = 150 * 1.44\\Nt = 216[/tex]

Therefore, the expected population size after two generations is 216.

So, the correct answer is option (d) 216.

For more question on size click on

https://brainly.com/question/28583871

#SPJ4

The sides of the given right triangle are:

g = 33.80

h = 31.20

j = 13

What is a triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Any three points in Euclidean geometry, when they are not collinear, produce a distinct triangle. A right triangle is a triangle with two perpendicular sides and one angle that is a right angle.

The given figure has a large right triangle with sides g,h and j and a small right triangle with sides 12, j and 5.

Using the small triangle, we can find the value of j.

By Pythagoras theorem,

j² = 12² + 5² = 144 + 25 = 169

j = 13

Now using trigonometric relation we can find the angle ∅  between j and 5.

sin ∅ = 12/13 = 0.923

∅ =  sin ⁻¹ (0.923) = 67.37°

This angle is common for both triangles.

So for large triangle,

tan 67.37 = h/j = h/13

2.4 = h/13

h = 31.2

By Pythagoras theorem,

g² = h² + j²  = 31.2²  + 13² = 1142.44

g = 33.8

Therefore the sides of the given right triangle are:

g = 33.80

h = 31.20

j = 13.

To learn more about triangles, follow the link.

https://brainly.com/question/2437195

#SPJ1

The steps to calculate the algebra at Mathpapa online has been explained

Mathpapa is an online algebra calculator that can help you solve equations, graph functions, and perform various algebraic operations. Here's a general guide on how to use Mathpapa to calculate algebra:

Go to the Mathpapa website (mathpapa.com).

Select the type of algebraic problem you want to solve from the options available on the homepage. For example, you can choose to solve an equation, graph a function, or simplify an expression.

Enter the algebraic expression or equation you want to solve in the input field. You can use the on-screen keyboard or type directly on the input field.

Once you have entered the expression or equation, click the "Solve" button to see the solution. If you are solving an equation, the solution will be displayed step-by-step.

If you want to graph a function, enter the function in the input field and click the "Graph" button. You can customize the appearance of the graph by adjusting the axis limits, adding titles and labels, and changing the line color and style.

Mathpapa also provides various tools to help you learn and practice algebra. For example, you can use the practice problems to test your skills, or watch video tutorials to learn specific algebraic concepts.

Overall, Mathpapa is a useful tool for anyone looking to improve their algebra skills or solve algebraic problems quickly and easily.

Learn more about algebra here

brainly.com/question/24875240

#SPJ4

The three rules of logs are the product rule, quotient rule, and power rule.

The three rules of logs are fundamental rules that are used in manipulating logarithmic expressions.

Product rule:

The product rule states that the logarithm of the product of two numbers is equal to the sum of the logarithms of the individual numbers.

Quotient rule:

The quotient rule states that the logarithm of the quotient of two numbers is equal to the difference of the logarithms of the individual numbers.

Power rule:

The power rule states that the logarithm of a number raised to a power is equal to the product of the power and the logarithm of the base.

Learn more about logarithmic:

https://brainly.com/question/28346542

#SPJ4

The high - level design steps include :

High-level design steps refer to the early stages of the design process where the system is defined in general terms.

Defining system requirements and constraints involves collecting information about the system's desired features and capabilities. This information may come from various stakeholders, including customers, users, and subject matter experts.

Another important step involves identifying and addressing potential security risks and designing appropriate security measures.

Find out more on high- level design steps at https://brainly.com/question/13067677

#SPJ1

Options for this question include :

Answer:

The 1st option

Step-by-step explanation:

Piper's orange probability is 4/20 and Kai's pink probability is 4/20, which makes option 1 correct

to find the probability use the equation below:

(the number of favorable outcomes)/(the total number of outcomes).

outcome/total

the reflection of the given function will be f(-x) = 0.5 4⁻ˣ and the graph of this function is attached below.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given, a function as shown in the graph:

To reflect a function over the y-axis we use the rule:

f(-x) reflects the graph of f(x) over the y-axis. In other words,  to reflect f(x) over the y-axis, we just need to replace x with -x.

Let's find f(x) first using the standard exponential growth function:

f(x) = a( 1 + b )ˣ

From our graph, we can infer that f(x) = 1/2 when x =0, so let's replace those values in our function:

f(x) = a( 1 + b )ˣ

1/2 = a(1 +b)⁰

a = 1/2

We can also infer that f(x) = 8 when x =2. Since we already know that a = 1/2, let's replace the values to find and complete our function:

f(x) = a( 1 + b )ˣ

8 = 1/2(1 +b)²

4 = 1+b

b = 3

So putting it all together:

f(x) = 1/2( 1 + 3 )ˣ

Finally, we can apply the reflection rule to find the reflection over the y-axis:

f(-x) = 1/2(4)⁻ˣ

f(-x) = 0.5 4⁻ˣ

Learn more about function here:

https://brainly.com/question/29633660

#SPJ9

The equation of each line in slope‐intercept form are y = -4x+2 and y = -x+4

The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.

GIven are two graphs of lines, we need to find the slope‐intercept form of the lines,

We know that, the slope‐intercept form of the line is given by:

y = mx+c, where m is slope and c is the y-intercept,

m = y₂-y₁ / x₂-x₁

1) The line is passing through two points (0.5, 0) and (0, 2) :-

y-0 = 2-0 / 0-0.5 (x-0.5)

y = -4(x-0.5)

y = -4x+2

2) The line is passing through two points (4, 0) and (0, 4) :-

y-0 = 4-0 / 0-4 (x-4)

y = -1(x-4)

y = -x+4

Hence, the equation of each line in slope‐intercept form are y = -4x+2 and y = -x+4

Learn more about slope‐intercept form, click;

https://brainly.com/question/30216543

#SPJ1

For testing the hypotheses H0: μdiff = 0; Ha: μdiff > 0, the P-value is 0.6294.

We have,

The hypotheses are as follows:

Null Hypothesis (H0): The mean difference in exam scores is equal to 0. μdiff = 0

Alternative Hypothesis (Ha): The mean difference in exam scores is greater than 0. μdiff > 0

To calculate the t-statistic, we use the formula:

t = (x - μ) / (s / √n)

Where:

x is the sample mean difference (given as -1.75)

μ is the hypothesized population mean difference under the null hypothesis (0 in this case)

s is the sample standard deviation (given as 7.12)

n is the sample size (given as 35)

Substitute the given values:

t = (-1.75 - 0) / (7.12 / √35)

t ≈ -0.33071

The degrees of freedom (df) for the t-distribution.

The degrees of freedom for this test is equal to the sample size minus 1:

df = 35 - 1 = 34

The P-value is associated with the calculated t-statistic.

Since we are testing for a one-sided alternative (μdiff > 0), we need to find the area under the t-distribution curve to the right of the t-statistic.

Using the t-table, with df = 34 and t ≈ -0.33071, we find the P-value to be approximately 0.6294.

Thus,

For testing the hypotheses H0: μdiff = 0; Ha: μdiff > 0, the P-value is 0.6294.

Learn more about hypothesis testing here:

https://brainly.com/question/17099835

#SPJ12

The magnitude of the vector is calculated by using the formula √((c-a)²+(d-b)²) where A(a,b) and B(c,d) are point on the plane.

A vector is any quantity that has a magnitude as well as directiom and that also follows the vector law of addition.

Let us say that there are any two points on the co-ordinate plane A(a,b) and B(c,d).

Now the magnitude of the vector AB can be found by using the formula,

AB = √((c-a)²+(d-b)²)

and the direction of this vector will be from A to B on the coordinate plane. If we want to find direction, then it is given by, tab A = (d-b)/(c-a)

To know more about vector, visit,

https://brainly.com/question/25705666

#SPJ4

Answer:

The correct answer is B. 200 and 100. When y is inversely proportional to x, it means that the ratio of x to y remains constant. In this case, when x = 20, y = 400, which means that the ratio of x to y is 20/400. Since the ratio is constant, we can use that ratio to find the values of y when x = 40 and x = 80. When x = 40, y = (20/400) x 40 = 200 and when x = 80, y = (20/400) x 80 = 100.

The temperature separating the bottom 91% from the top 9% is given as follows:

P91 = -1.34ºC.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for this problem are given as follows:

[tex]\mu = 0, \sigma = 1[/tex]

For the P91, the temperature is obtained as X when Z has a p-value of 0.91, so X when Z = 1.34, hence:

1.34 = X/1

X = 1.34ºC.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

It would  51.35 minutes take a puddle of water to freeze.

What is the initial temperature?

Initial temperature refers to the average interior temperature of the coldest processing container at the start of the thermal processing cycle, as determined after a thorough stir or shake of the filled and sealed container.

The given equation is T = R + (T₀ − R)[tex]e^{(-kt)}[/tex].

T = temperature of the object after t minutes

T₀ = initial temperature

R = temperature of the surroundings

k = cooling rate (depends on the object and conditions)

The initial temperature is 55°F. The water freezes at 32°F. Thus final temperature is 32°F. The value of k is 0.012.

Now putting T = 32°F, T₀ = 55°F, R = 5°F, k = 0.012 in the given equation:

32 = 5 + (55 − 5)[tex]e^{(-0.012t)}[/tex]

Subtract 5 from both sides:

27 = 50[tex]e^{(-0.012t)}[/tex]

Divide both sides by 50:

[tex]e^{(-0.012t)}[/tex] = 27/50

Taking natural logarithms on both sides:

ln[tex]e^{(-0.012t)}[/tex] = ln(27/50)

-0.012t = -0.616

t = 51.35

To learn more about model equation, click on the below link:

https://brainly.com/question/3882928

#SPJ1

Bonjour !

Pour obtenir la deuxième ligne de l'équation que vous avez donnée, on peut tout simplement développer le terme Un+1 en utilisant la définition de Un+1 donnée par la relation de récurrence :

Un+1 = 2Un + 1/3(n+1)

En remplaçant Un+1 dans l'expression Un+1 - Un, on obtient :

Un+1 - Un = (2Un + 1/3(n+1)) - Un

On simplifie l'expression en combinant les termes similaires :

Un+1 - Un = 2Un - Un + 1/3(n+1)

Un+1 - Un = Un + 1/3(n+1)

Maintenant, pour obtenir la troisième ligne de l'équation, on peut factoriser Un - Un+1 en utilisant le signe moins :

Un - Un+1 = - (Un+1 - Un)

Un - Un+1 = - (Un+1 - 2Un - 1/3(n+1))

Un - Un+1 = - (-2Un - Un+1 - 1/3(n+1))

Un - Un+1 = 2/3Un + 1/3(n+1) - 1/3Un - 2/3Un - 1/3(n+1)

On simplifie à nouveau en combinant les termes similaires :

Un - Un+1 = -1/3Un + 1/3(n+1)

Enfin, pour obtenir la quatrième ligne de l'équation, on utilise l'associativité de l'addition pour regrouper les termes :

Un - Un+1 = -1/3Un + 1/3(n+1)

Un - Un+1 = 1/3(n+1) - 1/3Un

Un - Un+1 = 1/3(n+3 - Un)

J'espère que cela vous aide à comprendre la démonstration de cette relation de récurrence. N'hésitez pas à me poser d'autres questions si vous en avez besoin !

s(x) represents the value of s(x) depending on the value of x since s is a function of x.

The first thing you should be aware of in this situation is that the following is contained in the provided expression:

S: stands for a function whose value we are interested in.

In order to understand the function s, we must use the term (numerical value) represented by x.

S is therefore dependent on X.

So, we have:

As s is a function of x, its value depends on the value of x.

As s is a function of x, the value of s (x) depends on the value of x.

Consider the provided notation.

Since s is a function of x. The s(x) value depends on the x value.

For any function f(x); The independent variable is x.

i.e. it depends on the variable x.

Similarly, here s(x) is the dependent variable. which is defined for the corresponding variable x.

Hence, s(x) represents the value of s(x) depending on the value of x, since s is a function of x.

Learn more about Functions at:

brainly.com/question/9390405

#SPJ1

Answer:

Step-by-step explanation:

true

10 and 15

add 2 and 3 together then divide 25 by that and then multiply that number by 2 and 3 to find both of the answers

The loop will keep executing infinitely, leading to an infinite loop.

What is for loop ?

For loop can be defined as, it run the given code in the given number of times , at first it intialises the value and than checks the condition and than increments or decrements the value.

Yes, the given for-loop is an infinite loop.

The loop condition j < 1000 is based on the variable j, which is initialized to 0, but j is never incremented or modified inside the loop. Therefore, the condition j < 1000 will always be true, and the loop will continue to execute indefinitely.

Although the variable count is being incremented inside the loop, it is not being used in the loop condition or in any other way that would cause the loop to terminate.

Hence, the loop will keep executing infinitely, leading to an infinite loop.

To lean more about For loop from given link.

https://brainly.com/question/30494342

#SPJ1

The expected value of the game is $16.50.

First we need to multiply the amount you can win by the probability of winning it, then add up all the products.

Let's call the expected value "E":

E = (0.20 x $60) + (0.15 x $30) + (0.25 x $0) + (0.40 x $0)

E = $12 + $4.50 + $0 + $0

E = $16.50

Therefore, the expected value of the game is $16.50.

Learn more about multiply here : brainly.com/question/1135170

#SPJ1

Answer: 3.06

Step-by-step explanation:

Answer:

Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.

For example, suppose you want to convert the mixed number to an improper fraction. First, multiply 3 by 5 and add 2:

(3 · 5) + 2 = 17

Use this result as your numerator, and place it over the denominator you already have.

Place this result over the denominator:

This method works for all mixed numbers. Furthermore, if you start with the fractional part reduced, the answer will also be reduced.

Step-by-step explanation:

The choice that represents the quotient of the radicals is given as follows:

D. [tex]x\sqrt{2}[/tex]

The quotient of the radicals for this problem is defined as follows:

[tex]\frac{\sqrt{18x^3}}{\sqrt{9x}}[/tex]

As both the numerator and the denominator have the same root(square root), we can apply the quotient and then take the square root, thus:

[tex]\sqrt{\frac{18x^3}{9x}}[/tex]

Then we can simplify the expression inside the square root as follows:

Hence the square root is taken as follows:

[tex]\sqrt{2x^2} = x\sqrt{2}[/tex]

Meaning that option D is the correct option.

More can be learned about quotient of radicals at https://brainly.com/question/30305238

#SPJ1

D. Post-production is the phase of the development process is where the most thorough testing happens.  

A phase of the development process is a distinct stage or step in the process of developing a software or product, from the initial idea or concept to the final delivery or deployment.

Each phase of the development process has a specific objective, and each phase typically requires the completion of certain activities or tasks before the development can progress to the next phase.  

The phase of testing:

In this phase, the system or product is thoroughly tested to ensure that it meets all requirements and quality standards. This includes various types of testing such as unit testing, integration testing, system testing, acceptance testing, and user acceptance testing.

Post-production is the phase of the development process that occurs after the product or software has been developed and is ready for release. During this phase, thorough testing is performed to ensure that the product or software is functioning as intended and meets all quality standards.  

Therefore,

D. Post-production is the phase of the development process is where the most thorough testing happens.  

Learn more about Phase of development at

https://brainly.com/question/14663285  

#SPJ1

In general, if the sample size is large, adding an extremely large outlier to a data set will not substantially affect sample mean. The correct option is (b) sample mean

The sample size is large, adding an extremely large outlier to a data set will not substantially affect the sample mean.

This is because the sample mean is a measure of central tendency that is influenced by all the values in the dataset, but it is more affected by the values that are closer to it in magnitude. When the sample size is large, the impact of any individual outlier on the overall mean is typically reduced, as the outlier will be more likely to be balanced out by the other values in the dataset.

However, the addition of an extremely large outlier may still have an impact on the sample standard deviation and median, depending on the magnitude and distribution of the other values in the dataset.

Therefore, the correct option is (b) sample mean

Learn more about sample mean here

brainly.com/question/3193288

#SPJ4

Answer:

y = 130 + 75x

My answer is based on the understanding that y is the charge for the service call, x is the number of hours spent on the service call and 130 is the base charge for the service.

Therefore, the 130 dollars is the baseline cost, as it is the charge even if 0 hours are spent. The extra 75 dollars per hour is the additional charge that has to be paid for every each hour that is spent on the job.

Therefore, the equation should be y = 130 + 75x.