tyler can type twice as many words wpm as kyla
define variable=
Expression to represent problem=
if kyla can type 3 wpm how many wpm can Tyler type

The largest possible volume of this box is 1687.5 cm³ with a base edge of 15 cm and a height of 7.5 cm

Let w = length of the base edge

h = height of the box

A box with a square bottom and an open top is to be made from 675 cm² of material. Hence,

675 cm² = w² + 4wh

4wh = 675 cm² - w²

h = (675 cm² - w²)/4w

The volume of the box is the product of the area of the square base and its height. Hence,

V = w²h

Substitute the expression of h to the equation of volume.

V = w²(675 cm² - w²)/4w

V = (675/4)w - (1/4)w³

To obtain the largest volume possible, the first derivative of the volume should be equal to zero.

V'(w) = 0

V = (675/4)w - (1/4)w³

675/4 - (3/4)w² = 0

Simplify and solve for the value of w.

675/4 - (3/4)w² = 0

(3/4)w² = 675/4

w² = 225

w = 15

length of the base edge = 15 cm

Solve for the value of h.

h = (675 cm² - w²)/4w

h = (675 cm² - (15)²)/4(15)

h = 7.5 cm

height of the box = 7.5 cm

Solve for the volume of the box.

V = w²h

V = (15 cm)²(7.5 cm)

V = 1687.5 cm³

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The answer is: 2.51 standard deviations below the mean. Therefore, the long answer is: Mario's winnings last week equation were 2.51 standard deviations below the mean of his weekly poker winnings, which have a mean of $353 and a standard deviation of $67.

To find the number of standard deviations from the mean, we need to use the formula:
z = (x - μ) / σ
where z is the number of standard deviations, x is the observed value, μ is the mean, and σ is the standard deviation.
In this case, x = 185, μ = 353, and σ = 67. Substituting these values into the formula, we get:
z = (185 - 353) / 67
z = -2.51

This means that Mario's winnings last week were 2.51 standard deviations below the mean.
Your question is: How many standard deviations from the mean is Mario's last week winnings of $185, given a mean of $353 and a standard deviation of $67.
To find the number of standard deviations from the mean, you need to use the following formula:
(Number of standard deviations) = (Value - Mean) / Standard deviation
So, Mario's last week winnings of $185 are 2.51 standard deviations below the mean.

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Answer: There’s no question/answer being depited.

Step-by-step explanation:

Maggie's mistake on the solution of the expression for x was when she subtracted 7x to both sides, the result should have been -3x and not 3x.

The equation is given as follows, as the angles are congruent, that is, they have the same measure:

4x + 2 = 7x - 25.

First, we isolate x on the left side of the equality, subtracting 7x from both sides, hence:

4x + 2 - 7x = 7x - 25 - 7x

Then the correct expression is:

-3x + 2 = -25

Which is where Maggie's mistake happened, on the subtraction of 4x and 7x.

Then, isolating x, we subtract 2 from both sides of the equality, to remove the +2 term on the left side of the equality.

-3x = -27

3x = 27

x = 27/3

x = 9.

The correct solution is x = 9.

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Step-by-step explanation:

a=2,b=-4,c=7,d=-3

b-a(cd+b)+a=-4-2(7×-3)+2

=-6(-21)+2

=126+2

=128

Keep smiling and hope u are satisfied with my answer.Have a nice day:)

Answer: 48

Given:

a = 2

b = -4

c = 7

d = -3

Now

b - a(cd + b) + a

-4 -2(7(-3) + (-4)) + 2

-4 -2(-21-4) + 2

-2 -2(-25)

-2+50

48

Must click thanks and mark brainliest

Answer:

it would be 4 x25 and 5 x20

The correct option is C. find the real range, find the interval width, and construct the frequency distribution.

To make the information easier to understand, frequency distributions are textured look which organise and present frequency counts. Absolute frequencies as well as frequency distributions, such as percentages or ratios, can be displayed in frequency distributions.

The real range is find by the following method-

The interval width is find by the following method-

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The correct question is-

The three steps for constructing a simple frequency distribution are -

Group of answer choices

A. find the observed range, find the interval width, and construct the frequency distribution

B. find the real range, count the scores, and construct the frequency distribution

C. find the real range, find the interval width, and construct the frequency distribution

D. all of the above

Answer:

10(x - 12)

Step-by-step explanation:

10(x - 12)

10x - 120 Distributive Property

c i think

Step-by-step explanation:

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

The roots of the equation is x = -20

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The leading coefficient of the equation is -1

And , the constant term is -20

Now , according to rational root theorem ,

So , the equation is

-x - 20 = 0

Adding x on both sides of the equation , we get

x = -20

Therefore , the value of x is -20

Hence , the equation is x = -20

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Answer:

x=3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The probability of obtaining a z-score of 2 or greater is 0.0228.This means that the probability of getting a sample mean greater than 64 is 0.0228, or 2.28 percent.

Probability can be defined as the measurement of how likely an event is to occur. Probability values can range from 0 to 1, with 0 indicating an impossible event and 1 indicating a certain event. Probability is usually expressed as a fraction, decimal, or percentage. The central limit theorem, which states that sample means from random samples of a population with a normal distribution are themselves normally distributed, is used to solve problems like this.

When dealing with probability calculations, this is a vital theorem to remember because it saves us a lot of time and makes calculations a lot simpler. When looking for the probability of getting a sample mean greater than 64 from a sample of 36

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\( - a {x}^{2} + 2x + a - 5\)

\( - 183\)

The answer for this question is 18

The instantaneous voltage of the sine wave for the given phase angles are:

a. θ = 15 degrees

V = 100 mV * sin(15°) = 25.98 mV

b. θ = 50 degrees

V = 100 mV * sin(50°) = 76.60 mV

c. θ = 90 degrees

V = 100 mV * sin(90°) = 100 mV

d. θ = 150 degrees

V = 100 mV * sin(150°) = -64.28 mV

e. θ = 180 degrees

V = 100 mV * sin(180°) = 0 mV

f. θ = 240 degrees

V = 100 mV * sin(240°) = 64.28 mV

g. θ = 330 degrees

V = 100 mV * sin(330°) = -76.60 mV

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Answer:

C  \(y=-\frac{3}{4}x-3\)

Step-by-step explanation:

Based on how the line slopes, it is negative. The best way I can remember how to tell if a function is negative or positive is to read it like a book. If the left-most point of the line is above the right-most point, it is negative, such as is the case here. If the left-most point is below the right-most point, then it is positive.

Having determined that it is negative, A is eliminated. It also intersects the y-axis at -3, which eliminates D. To figure out how much it slopes, figure a point where the line cleanly goes through a point on the graph, such as (0,-3).

Using (0,-3) as a starting point, count how many points, or squares, on the graph, it takes to get to the next intersected point along the x-axis. Once you have that x-axis point, do the same thing along the y-axis.

In this example, you would go to the right (positive) 3 points, then down (negative) 4. The negative makes the m variable in the function \(y=mx+b\) a negative. This function is also a fraction due to how for every 3 points moved to the right, it goes down by 4 if that makes any sense.

Anything that goes right and up is positive, while anything left and down is negative.

C

�

=

−

3

4

�

−

3

y=−

4

3

x−3

Step-by-step explanation:

Based on how the line slopes, it is negative. The best way I can remember how to tell if a function is negative or positive is to read it like a book. If the left-most point of the line is above the right-most point, it is negative, such as is the case here. If the left-most point is below the right-most point, then it is positive.

Having determined that it is negative, A is eliminated. It also intersects the y-axis at -3, which eliminates D. To figure out how much it slopes, figure a point where the line cleanly goes through a point on the graph, such as (0,-3).

Using (0,-3) as a starting point, count how many points, or squares, on the graph, it takes to get to the next intersected point along the x-axis. Once you have that x-axis point, do the same thing along the y-axis.

In this example, you would go to the right (positive) 3 points, then down (negative) 4. The negative makes the m variable in the function

�

=

�

�

+

�

y=mx+b a negative. This function is also a fraction due to how for every 3 points moved to the right, it goes down by 4 if that makes any sense.

Answer:

The solution of this system is (10,14) and it means that there are 10 three point questions and 14 five point questions.

Step-by-step explanation:

In order to find the number of questions of each kind we need to solve the given system as shown below:

\(\left \{ {{x+y=24} \atop {3x + 5y=100}} \right.\)

If we multiply the first equation by -3 and sum it with the second equation we can isolate the "y" variable and solve for its value:

\(\left \{ {{-3x -3y=-72} \atop {3x + 5y=100}} \right.\\ \\-3y + 5y = -72 + 100\\2y = 28\\y = 14\)

We can use this value to find "x":

\(x + y = 24\\x + 14 = 24\\x = 24 - 14\\x = 10\)

The solution of this system is (10,14) and it means that there are 10 three point questions and 14 five point questions.

Refer to the diagram below. We need to find the areas of the green and blue regions, then subtract to get the area of the orange track only.

The larger green region is composed of a rectangle of dimensions 200 meters by 4+42+4 = 50 meters, along with two semicircles that combine to make a full circle. This circle has radius 25 meters.

The green rectangle has area 200*50 = 10000 square meters. The green semicircles combine to form an area of pi*r^2 = pi*25^2 = 625pi square meters. In total, the full green area is 10000+625pi square meters. I'm leaving things in terms of pi for now. The approximation will come later.

The blue area is the same story, but smaller dimensions. The blue rectangle has dimensions 200 meters by 42 meters, so its area is 200*42 = 8400 square meters. The blue semicircular pieces combine to a circle with area pi*r^2 = pi*21^2 = 441pi square meters. In total, the blue region has area 8400+441pi square meters.

After we figure out the green and blue areas, we subtract to get the orange region's area, which is the area of the track only.

orange area = (green) - (blue)

track area = (10000+625pi) - (8400+441pi)

track area = 10000+625pi - 8400-441pi

track area = (10000-8400) + (625pi - 441pi)

track area = 184pi + 1600 is the exact area in terms of pi

track area = 2178.05304826052 is the approximate area when you use the pi constant built into your calculator. If you use pi = 3.14 instead, then you'll get 2177.76 as the approximate answer. I think its better to use the more accurate version of pi. Of course, be sure to listen/follow your teachers instructions.

Some Algorithms are faster than others, and so scientists and corporations spend a lot of money and time trying to find the best one for a particular problem.

Algorithms are step-by-step procedures or sets of rules for solving a specific problem or accomplishing a particular task. In the context of the given statement, algorithms are compared based on their speed or efficiency in solving problems. Scientists and corporations invest resources to research and develop algorithms that can provide optimal solutions for various problems. The search for the best algorithm involves analyzing their performance, considering factors such as execution time, accuracy, scalability, and resource utilization

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Answer: C - If the null hypothesis is true, the probability of observing a test statistic pf 1.592 or greater is 0.059

Step-by-step explanation:

The correct interpretation of the p-value is option C. If the null hypothesis is true, the probability of observing a test statistic of 1.592 or greater is 0.059.

In hypothesis testing, the p-value helps us determine the likelihood of obtaining a test statistic at least as extreme as the one observed, assuming the null hypothesis is true. In this case, the null hypothesis (H₀) states that B1 = 0, meaning there is no relationship between the number of times a song is listened to and recording sales. The alternative hypothesis (H₁) states that B1 > 0, suggesting a positive linear relationship between the variables. Since the test is one-tailed and we are testing for a positive relationship, we are looking for a test statistic of 1.592 or greater.

Based on the given p-value of 0.059, we can conclude that if the null hypothesis is true, there is a 5.9% chance of observing a test statistic of 1.592 or greater. This helps us to assess the strength of the evidence against the null hypothesis and make a decision whether to reject or fail to reject it based on a chosen significance level.

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Given two functions f(x) and g(x), its composition will be:

It is read g compound f or simply said to g we are going to fill it with f. So, you have

To expand the binomial, apply the binomial formula to the cube, that is:

So, you have

Finally, operate similar terms

The point estimate for the average quiz score for the entire class is 10 , the correct option is (d) .

In the question ,

it is given that ,

the scores of the quiz for the class is 6 , 9 , 16 , 14 , 8 , 7 , 12 , 4 , 13 , 11 .

we have to find the point estimate for the quiz score ,

we know that the point estimate is the mean of the sample drawn .

So , the mean of the score can be calculated using the formula ,

mean = (sum on scores) / (total number of students in class)

the sum is = 6 + 9 + 16 + 14 + 8 + 7 + 12 + 4 + 13 + 11

= 100

and the number of observation are 10 ,

So , mean = 100/10 = 10

point estimate is also = 10 .

Therefore , the point estimate for the entire class is 10 .

The given question is incomplete , the complete question is

Use the following sample data that represent quiz scores , the scores are 6 , 9 , 16 , 14 , 8 , 7 , 12 , 4 , 13 , 11 .

Calculate a point estimate for the average quiz score for the entire class.

(a) 8

(b) 11

(c) 12

(d) 10

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The monthly payment amount is $217.42 and the finance charge is $413.02.

The payment amount and finance charge can be found by using the formula below

Payment amount formula: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

Finance charge formula: Finance charge = Total payment - Loan amount

Where P = Loan amount

R = Interest rate per period

N = Number of periods

Given that a loan is made for $4800 with an APR of 12% and payments made monthly for 24 months

Therefore,P = $4800R = 12% / 12 = 1% per month

N = 24

Using the Payment amount formula above: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

PMT = ($4800 x 0.01 x (1 + 0.01)^24) / ((1 + 0.01)^24 - 1)

PMT = $217.42

Hence, the monthly payment amount is $217.42 (rounded to two decimal places).

Using the finance charge formula above: Finance charge = Total payment - Loan amount

Total payment = Payment amount x Number of periods

Total payment = $217.42 x 24 = $5213.02

Finance charge = $5213.02 - $4800

Finance charge = $413.02

Hence, the finance charge is $413.02 (rounded to two decimal places).

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The equation to model the growth of the investment based on the given table values is A = P * e^(rt), where A represents the value of the investment, P represents the initial investment amount, r represents the growth rate (annual interest rate) as a decimal, t represents the number of years, and e is Euler's number.

To write an equation to model the growth of the investment based on the given table values, we need to determine the relationship between the number of years and the value of the investment.

Let's assume that the initial investment amount is represented by P, and the growth rate (annual interest rate) is represented by r. The equation for continuously compounded interest can be expressed as:

A = P * e^(rt)

In this equation:

- A represents the value of the investment after a given number of years.

- P represents the initial investment amount.

- e is Euler's number, a mathematical constant approximately equal to 2.71828.

- r represents the growth rate (annual interest rate) as a decimal.

- t represents the number of years.

By using this equation, we can model the growth of the investment.

For example, if we have a table showing the values of the investment after different numbers of years, we can substitute the given values of P, A, and t into the equation and solve for r:

A = P * e^(rt)

Let's say for a given number of years, the value of the investment is A_1, and for another number of years, the value is A_2. We can set up the following equation:

A_1 = P * e^(rt_1)

A_2 = P * e^(rt_2)

Dividing these two equations, we can eliminate P:

A_1 / A_2 = (P * e^(rt_1)) / (P * e^(rt_2))

Simplifying further:

A_1 / A_2 = e^(rt_1 - rt_2)

Taking the natural logarithm (ln) of both sides:

ln(A_1 / A_2) = (rt_1 - rt_2) * ln(e)

Since ln(e) is equal to 1:

ln(A_1 / A_2) = r(t_1 - t_2)

We can now solve for r by dividing both sides of the equation by (t_1 - t_2):

r = (ln(A_1 / A_2)) / (t_1 - t_2)

Once we have the value of r, we can use the initial investment amount (P) and the equation A = P * e^(rt) to model the growth of the investment for any number of years.

In summary, the equation to model the growth of the investment based on the given table values is A = P * e^(rt), where A represents the value of the investment, P represents the initial investment amount, r represents the growth rate (annual interest rate) as a decimal, t represents the number of years, and e is Euler's number.

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Different RAID levels offer varying levels of performance, effective storage use, disk failure tolerance, and minimum drive requirements.

RAID (Redundant Array of Independent Disks) is a technology that combines multiple physical drives into a single logical unit to improve performance, data redundancy, and fault tolerance. Here's a breakdown of the different RAID levels in terms of performance, effective storage use, disk failure tolerance, and minimum drive requirements:

In summary, different RAID levels offer a trade-off between performance, effective storage use, fault tolerance, and minimum drive requirements. It is important to carefully consider the specific needs of your system to choose the appropriate RAID level.

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Refer to the images attached.

Answer:

a. y=7x or n=7t

b. 42

c. 19 years

d. The answer to that would be that the equation represent an average American uses 7 trees every single year.

The possible parking spot numbers can be either 12th spot or 26th spot.

What are inequalities ?

When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.

It is given that the parking spot was smudged on the ticket.

Let's assume the possible parking spot numbers can be given by x which is represented by an inequality.

Your parking spot is 7 spaces away from your friend's spot which is number 19 in the same row. So , the possible parking spot numbers can be given by ;

19 - 7 ≤ x ≤ 19 + 7

12 ≤ x ≤ 26

Therefore , the possible parking spot numbers can be either 12th spot or 26th spot.

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