Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library. Which graph models a relationship with the same unit rate?

If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.

In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.

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Answer: 4000

Step-by-step explanation:

Multiplication of the given matrix is not possible by definition of matrix multiplication.

Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Expression for multiply,

⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]

Since, We can see that;

First matrix have order 1 x 6

And, Second matrix have order 1 x 4

We know that;

Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.

Hence, By given matrices we get;

Number of column in first matrix (6) ≠ number of rows in second matrix (1)

So, Multiplication of the given matrix is not possible by definition of matrix multiplication.

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The solution of given system of equations is (10, 4).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are 3x+4y=38 -----(I) and 5x-5y=30 -------(II)

x-y=6 -------(III)

x=6+y

Substitute x=6+y in equation (I), we get

3(6+y)+4y=38

18+1y+4y=38

5y=20

y=4

Substitute y=4 in equation (III), we get

x=10

So, the solution is (10, 4)

Therefore, the solution of given system of equations is (10, 4).

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Answer:

Exponential functions

Step-by-step explanation:

:D

Answer:

Exponential Equations

These equations have variables in the exponent. Such as this one:

\(63+5^{x}\)

The value of the Riemann sum expression is 0.7717.

(a) To set up a Riemann sum with four subintervals of equal length, we need to divide the interval [0, 2] into four smaller intervals.

The length of each subinterval will be:

Δx = (2 - 0) / 4 = 0.5

Now, we can choose the midpoints of the subintervals. The midpoints will be:

x1 = 0 + 0.5/2 = 0.25

x2 = 0.25 + 0.5/2 = 0.75

x3 = 0.75 + 0.5/2 = 1.25

x4 = 1.25 + 0.5/2 = 1.75

The Riemann sum for estimating the area is:

Riemann sum = f(x1)Δx + f(x2)Δx + f(x3)Δx + f(x4)Δx

Substituting the function f(x) = x \(e^{-x^2\), we get:

Riemann sum = (0.25 x \(e^{(-0.25^2))\) x 0.5 + (0.75 \(e^{(-0.75^2))\) x  0.5 + (1.25 x \(e^{(-1.25^2))\)0.5 + (1.75 x \(e^{(-1.75^2))\) 0.5

Thus, the value of the Riemann sum expression is 0.7717.

(b) To compute the actual area of the region, we need to evaluate the definite integral:

Actual area = ∫[0, 2] x\(e^{-x^2\) dx

We can integrate the function using calculus techniques:

Actual area = ∫(x \(e^{-x^2\)) dx

Substituting these values, we have:

Actual area = ∫(x * \(e^{u\)) (-du/2)

Simplifying and changing the limits of integration, we get:

Actual area = (-1/2) ∫(x\(e^u\)) du [from u = 0 to u = -4]

Actual area = (-1/2) * [(-1/2) \(e^{-x^2\)] [from x = 0 to x = 2]

Actual area = (1/4) [\(e^{(-2^2)} - e^{(-0^2)\)]

Actual area = (1/4)  (1/e⁴ - 1)

Actual area = (1/4) (1 - 1/e⁴)

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Answer:

Step-by-step explanation:

4x-22.2=1.90

22.20-4x=1.90

4x + 1.90 = 22.20

A,C,B,D,F,H are the rotations of the shape X given in the picture.

Rotations of shapes refer to the transformation of a shape around a fixed point called the center of rotation. This transformation involves rotating the shape by a certain angle while keeping the shape's size and shape consistent.

The angle of rotation determines how much the shape is rotated. It is measured in degrees or radians.

Properties of Rotations:

Rotations preserve the size and shape of the original shape.

Before and after the rotation, the distance between any two points on the shape and its centre of rotation remains constant.

The orientation of the shape may change, but its overall appearance remains unchanged.

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Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

 \(\dfrac{x^2+8x+8}{2x+4}\\\\\)

Step-by-step explanation:

Simplify:

        \(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)

Multiply the denominator and the numerator of the first term by 2,

                        \(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)

                       \(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)

Answer:

0.0

Step-by-step explanation:

To find 0.007 divided by 0.498, we can perform the following calculation:

0.007 / 0.498 ≈ 0.0141

Rounding this to the nearest tenth gives:

0.0141 ≈ 0.0

Therefore, the result, rounded to the nearest tenth, is 0.0.

Answer:

\(\frac{10}{9}\)

Step-by-step explanation:

Answer: 10/9 or 1.111111111

Step-by-step explanation:

Answer:

$5904

Explanation:

• The purchase value of the car = $21,500

• The rate of depreciation = 35%.

To find the resale value of the car after a certain number of years, we use the depreciation formula below:

• The initial value, Ao = 21,500

• The rate, r = 35% =0.35

• The time, t (in years) = 3

Substitute these values into the formula:

The resale value of the car after 3 years is $5904 (correct to the nearest dollar).

Answer:

D. 189.42

Step-by-step explanation:

The amount that will be withheld from his paycheck for income tax in all is d. $189.42.

Using this formula

Amount withheld=State income tax+( State income tax× Percentage of federal income tax)

Where:

Let plug in the formula

Amount withheld=$154.00+($154,00×23%)

Amount withheld=$154.00+$35.42

Amount withheld=$189.42

Inconclusion the amount that will be withheld from his paycheck for income tax in all is d. $189.42.

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Answer:

50

Step-by-step explanation:

i got it correct on the iready quiz

The graph of the line does not change except only in the y - intercept. The slope of the line remains same.

        y = mx + c

        [m] : slope of line.

        [c] : y - intercept

Given is a graph that shows the relationship between time and the distance a train travels.

From the graph, we can write the coordinates as -

(1, 60) and (2, 120)

So, we can write the slope of the line as -

m = (120 - 60)/(2 - 1)

m = 60/1

m = 60

Therefore, the slope of the line given in the graph will be 60 miles/hr.

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The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

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Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

Answer: C

Step-by-step explanation:

This is simple algebra! First, try to find the slope which would be -3.

Let's say x is hours and y is degrees. We will find the slope by finding the change in x and y.

change in y    45  - 54 =  -9

change in x     5   -   2  =   3

The slope is -3. Therefore the temperature decreases by 3 degrees every hour.

Hope that helps! :-)

Answer:

  $50,000

Step-by-step explanation:

The given relations can be used to write and solve an equation for the amount invested in stocks.

Let s represent the amount invested in stocks. Then (120,000-s) is the amount invested in bonds. The total earnings by the two investments were ...

  0.18s +0.12(120,000 -s) = 17,400

Simplifying the equation, we have ...

  0.06s +14,400 = 17,400

  0.06s = 3000 . . . . . . . . . . subtract 14,400

  s = 50,000 . . . . . . . . . . . . divide by 0.06

Neal invested $50,000 in stocks.

__

Additional comment

The amount invested in bonds was 70,000. The profit earned was ...

  0.18(50,000) +0.12(70,000) = 9,000 +8,400 = 17,400

Answer:

\(x=750m\)

Step-by-step explanation:

\(Assuming\) \(That\):

\(1m=3.3ft\)

We can make the conversion from feet per second to meters per second with this procedure:

\((165 \frac{ft}{s} ) (\frac{1m}{3.3ft} )=50\frac{m}{s}\)

Let \(x\) be the amount of meters the parachutist will fall during 15 seconds of free fall

Having that in 1 second the parachutist falls 50 meters, we can calculate \(x\) :

\(x=(50\frac{m}{s} )(15s)\)

\(x = 750 m\)

Brainliest?!

​

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

54 girls are left handed.

70 boys are left handed.

70+54 = 124 left handed students in the school

Step-by-step explanation:

Answer:

\(3\left(x-3\right)=7x+7\)

\(3x-9=7x+7\)

\(3x-9+9=7x+7+9\)

\(3x=7x+16\)

\(3x-7x=7x+16-7x\)

\(-4x=16\)

\(\frac{-4x}{-4}=\frac{16}{-4}\)

\(x=-4\)

Answer:

hi

Step-by-step explanation:

Answer:

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean number of words per minute (WPM) read by sixth graders is 84 with a standard deviation of 15 WPM.

This means that \(\mu = 84, \sigma = 15\)

Sample of 188

This means that \(n = 188, s = \frac{15}{\sqrt{188}}\)

What is the probability that the sample mean would differ from the population mean by greater than 1.46 WPM?

Greater than 84 + 1.46 = 85.46 or less than 84 - 1.46 = 82.54. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Probability is is less than 82.54.

P-value of Z when X = 82.54. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{82.54 - 84}{\frac{15}{\sqrt{188}}}\)

\(Z = -1.33\)

\(Z = -1.33\) has a p-value of 0.0918

2*0.0918 = 0.1836

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

The population of organisms is described by the following exponential equation:

P(t) = 18,000*(0.9966)^t

The general exponential equation is:

P(t) = A*(b)^t

Where A is the initial value, b depends on the percentage that changes, and t is the variable.

In this case, the population decreases by 3.4%, then we have:

B = 1 - 3.4%/100% = 0.9966

And the initial value is 18,000 organisms, replacing that in the general equation we get:

P(t) = 18,000*(0.9966)^t

This is the equation that represents the population.

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The statement that correctly compares the number of songs on Georgia and Scarlet's playlists are is  17 < 36.

Georgia has 17 songs on her playlist while Scarlet has 36 songs on her playlist.

In the number line, the number 36 comes after the number 17. This means that 36 is greater than 17.

The statement that therefore correctly compares the number of songs in the playlist is:

17 < 36

In conclusion, the statement that correctly compares the songs in the two playlists is 17 < 36.

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Answer:

y=a\((x-h)^{2}\)+h

Step-by-step explanation:

equation for vertex form of a parabola is,

y=a\((x-h)^{2}\)+h

Answer:

y=a+h

Step-by-step explanation:

Answer:

N= 3.8

Step-by-step explanation:

Answer:

3.8

Step-by-step explanation:

i did this on iready and this was the answer.