the national average sat score (for verbal and math) is 1028. suppose that nothing is known about the shape of the distribution and that the standard deviation is 100. round the final answer to at least four decimal places and intermediate z-value calculations to two decimal places.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

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answer:

slope: -2/3

step-by-step explanation:

y=mx+b

m represents the slope, and b the y-intercept.

rearrange: 9x= -6y+18

---> -6y= -9x-18

divide all terms by -6.

-6y/-6= -9/-6x-18/-6

y= 3/2x+3 (slope/intercept form)

m= 3/2

---> 1/3/2= -2/3

Answer:

1.5

Step-by-step explanation:

To find out the gradient (or the slope), we can use the formula

Gradient = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points lying on the line.

Looking at the graph, we can take any two points and simply plug the coordinates in the equation. For instance, take (0,-2) and (2,1)

Therefore we get the gradient as (1- -2)/(2-0) = 3/2 or 1.5.

Feel free to ask any doubts you may have.

Hope this helps! :D

Answer: the answer is \(x=-1\)

Answer: i put B an got it correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I chose B section P because it is linear and it's going up so that means it's increasing.

Answer:

B

Step-by-step explanation:

\(2xy + 3xt - 7yt = 0\)

\(3xt - 7yt = - 2xy\)

Factor out t

\(t(3x - 7y) = - 2xy\)

Divide by 3x-7y

\(t = - \frac{2xy}{3x - 7y} \)

But since x and y are positive, the answer is positive

\(t = \frac{2xy}{3x - 7y} \)

Answer:

The answer for this question is (-3.5,0.5)

The expected profit of the proposal to open the online gambling business is $2,860,000.

To calculate the expected profit of the proposal to open the online gambling business, we need to consider the probabilities and associated profits for each scenario.

The base scenario is that the business generates $8 million in profit each year, which has a probability of 100% - (5% + 2%) = 93%.

The first exception scenario is that the business is wildly successful and generates $26 million in profit each year, which has a probability of 5%.

The second exception scenario is that the business is found to be illegal, resulting in a total loss of $294 million, which has a probability of 2%.

To calculate the expected profit, we multiply each scenario's profit by its probability and sum them up:

Expected profit = (0.93 * $8,000,000) + (0.05 * $26,000,000) + (0.02 * -$294,000,000)

Expected profit = $7,440,000 + $1,300,000 - $5,880,000

Expected profit = $2,860,000

Therefore,  expected profit of the proposal to open online gambling business is $2,860,000.

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The slope of the regression line of hours on income is approximately 0.3326.

To find the slope of the regression line of hours on income, we need to use the formula:

slope = r * (Sy / Sx)

where r is the correlation coefficient, Sy is the standard deviation of Y (hours spent on internet), and Sx is the standard deviation of X (monthly income).

From the given statistics, we have:

n = 8 (sample size)
ΣX = 2592 (sum of monthly incomes)
ΣY = 3144 (sum of hours spent on internet)
ΣXY = 14175.5 (sum of the product of X and Y)
ΣX^2 = 1828928 (sum of the squares of X)
ΣY^2 = 449328 (sum of the squares of Y)

Using these values, we can calculate the correlation coefficient:

r = [nΣXY - (ΣX)(ΣY)] / [sqrt(nΣX^2 - (ΣX)^2) * sqrt(nΣY^2 - (ΣY)^2)]
 = [8(14175.5) - (2592)(3144)] / [sqrt(8(1828928) - (2592)^2) * sqrt(8(449328) - (3144)^2)]
 = 0.9361 (rounded to four decimal places)

Next, we need to calculate the standard deviations of X and Y:

Sx = sqrt[ΣX^2/n - (ΣX/n)^2] = sqrt[(1828928/8) - (2592/8)^2] = 1289.54
Sy = sqrt[ΣY^2/n - (ΣY/n)^2] = sqrt[(449328/8) - (3144/8)^2] = 460.57

Finally, we can plug in the values to find the slope:

slope = r * (Sy / Sx) = 0.9361 * (460.57 / 1289.54) = 0.3326

Therefore, the slope is approximately 0.3326.

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Answer:

Let's put the chart into ordered pairs:

(x, y)

(2,1)

(3,4)

(3,3)

(4,2)

(5,5)

In bold, we see that there are two y-values at x=3. This means that this relation fails the vertical line test (two points on the same verticle line). This is not a function. 

The answer options may be mis-written. 

The answer is no, because one x value corresponds to more than one y-value. 

Answer:

A possible solution is she should by 6 bags of popcorn and 10 drinks

Step-by-step explanation:

The price of each bag of popcorn = $7.50

The price of each drink = $4.50

The amount Sarah has to spend = $90

The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks

Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y

Therefore, we have;

x + y ≥ 16.....(1)

x × 7.5 + y × 4.5  ≤ 90

Which gives;

7.5·x + 4.5·y ≤ 90....(2)

Rewriting the inequalities as a function of y, gives;

From inequality (1), x + y ≥ 16, we have;

y = ≥ 16 - x

From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;

7.5·x + 4.5·y ≤ 90

4.5·y ≤ 90 - 7.5·x

y ≤ 90/4.5 - 7.5/4.5·x

y ≤ 20 - 5/3·x

Please find attached, the plot of the inequalities

A possible solution is given as the value of x = 6, where y = 10

Therefore, she should by 6 bags of popcorn and 10 drinks.

Answer:

3 × x + 6 = 27 - 6 = 21 divided by 3 = 7 so 7 pencils in each box. 6 divided by 3 = 2 which means 7 + 2 = 9 pencils in the box total after Ryan gives 6 pencils to caleb.

Step-by-step explanation:

Hope this helps :)

The value of a is a = -b/2x

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).

Suppose we have a quadratic equation of the form:

ax²+bx+c

The axis of symmetry of the parabola is :

x = -b/ 2a

From here, we must clear the value of a.

1) Pass 2a multiplying to the other side of the equation:

2ax=-b

2) Clear the value of a by passing 2x to divide:

a = -b/2x

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ANSWER:

18

STEP-BY-STEP:

To find the maximum value of P, we need to evaluate P at each vertex.

P(0,0)=3(0)+2(0)=0+0=0

P(0,22/3)=3(0)+2(22/3)=0+44/3=44/ 3

Now

P(16/5,0)=3(16/5)+2(0)=48/5+0=48/ 5

P(2,6)=3(2)+2(6)=6+12=18

Therefore, the maximum value of P is *18* when x = *2* and y = *6*.

Answer:

18

Step-by-step explanation:

To find the maximum value of p, substitute the value of x and the value of y of each vertices in the equation and then compare the results

p = 3x + 2y

For (0,0)

p = 3(0) + 2 (0)

For (0,7.3)

p = 3(0) + 2 (7.3) = 0

For (2,6)

p = 3(2) + 2(6) = 18

For (3.2,0)

p = 3(3.2) + 2(0) = 9.6

therefore the maximum value of p = 18

Answer:

I think the most upright answer would be D

Step-by-step explanation:

Christo and Jeanne-Claude worked for over 26 years on "The Gates," a large-scale public art installation in Central Park consisting of thousands of saffron-colored fabric panels along 23 miles of walkways, which was on display for 16 days in February 2005.

Christo and Jeanne-Claude were artists known for their large-scale public art installations. "The Gates" was a project they worked on for over 26 years, from its conception in 1979 to its installation in Central Park in February 2005. The installation involved placing thousands of saffron-colored fabric panels along 23 miles of walkways in the park, creating a visually stunning and immersive experience for visitors.

The project was met with both praise and criticism, but it ultimately succeeded in bringing people together to appreciate art in a public space. The installation remained in place for 16 days before it was dismantled.

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Answer:

\(\huge\boxed{\sf Distance = 2.793\ miles}\)

Step-by-step explanation:

Given Data:

Speed = 4.9 mph

Time = 0.57 hours

Required:

Distance = ?

Formula:

Distance = Speed * Time

Solution:

Distance = 4.9 * 0.57

Distance = 2.793 miles

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

-3/5

Step-by-step explanation:

-7-8/-15-10= -15/-25

divide by 5 to get -3/-5 or - 3/5

Answer:

I beleive the answer is 30.

Step-by-step explanation:

We have 50 students. 50 is the half of 100 because 50x2=100

40% is equal to 40/100

So, 40/100 is equal to 20/50 because 100/2=50 and 40/2=20

20/50 (which is equal to 40/100 or 40%) says that 20 men

And if we do the subtraction, it’s 50–20=30are in the class

The angle of refraction θ is 20.66°.

Using the given information and applying Snell's law, we can find the angle of refraction θ.

Given: Angle of incidence θ1 = 18°, refractive index of air n1 = 1, refractive index of glass n2 = 1.52.

By Snell's law: n1 * sin(θ1) = n2 * sin(θ2).

Substituting the values, we have: 1 * sin(18°) = 1.52 * sin(θ2).

To find θ2, we rearrange the equation: sin(θ2) = (1 * sin(18°)) / 1.52.

Taking the inverse sine (sin^-1) of both sides, we get: θ2 = sin^-1((1 * sin(18°)) / 1.52).

Evaluating this expression, we find: θ2 ≈ 11.73°.

Next, we calculate θ3 by adding the exterior angle of the triangle, which is 6.27°, to the given angle of incidence θ1: θ3 = 18° + 6.27° = 24.27°.

Now, using Snell's law again: n2 * sin(θ3) = n1 * sin(θ4).

Substituting the known values: (1.52) * sin(24.27°) = sin(θ4).

Taking the inverse sine, we find: θ4 = sin^-1[(1.52) * sin(24.27°)].

Calculating this expression, we have: θ4 ≈ 38.66°.

Finally, to find the angle θ, we subtract the given angle of incidence θ1 from θ4: θ = θ4 - θ1 = 38.66° - 18° = 20.66°.

Therefore, the angle of refraction θ is approximately 20.66°.

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The domain of the exponential function shown in the graph is -oo < x < oo

The function on the graph is an exponential function.

The domain is the set of x values the function can take

From the graph, we have the following x values

This means that the domain of x in the graph is -oo < x < oo

Hence, the domain of the exponential function shown in the graph is -oo < x < oo

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7a* Consider the distance is x

2/3x = 240

x = 360

The Distance between two points = 360 Km

7b* Consider the average speed at 2/3 distance was V

(45+V)/2 = 54

45+V = 108

V= 108-45= 63km/hr

The average speed for the last 2/3 trip was 63 km/hr

To find the number of items sold that produces a monthly revenue of $13,1257, we need to solve the equation R = xp, where R is the monthly revenue and p is the price per item.

The equation for monthly revenue is R = (23 - 0.01x)x. Given that the monthly revenue R is $13,1257, we can substitute this value into the equation and solve for x:

131257 = (23 - 0.01x)x

To solve this equation, we can multiply out the terms:

131257 = 23x - 0.01x^2

Rearranging the equation to a quadratic form:

0.01x^2 - 23x + 131257 = 0

Now we have a quadratic equation. We can solve it by factoring, completing the square, or using the quadratic formula. In this case, factoring or completing the square may not be straightforward, so we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Plugging in the values from the quadratic equation:

x = (-(-23) ± √((-23)^2 - 4(0.01)(131257))) / (2(0.01))

Simplifying and evaluating the expression, we find:

x ≈ 2166.97 or x ≈ 6056.03

Therefore, the number of items sold that produces a monthly revenue of $13,1257 is approximately 2166.97 or 6056.03 items.

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If △ABC≅△VXW then:

AB = VX

CB = WX

Evaluating:

\(\begin{bmatrix}2y+2z-40=z+y\\ 16z-13y-24=y+3z-44\end{bmatrix}\)

Solving the first equation for y:

\(2y+2z-40=z+y\)

\(2y - y +2z - z= 40\)

y + z =  40

y = -z + 40

Substituying y = -z + 40 in the second equation:

\(16z-13\left(-z+40\right)-24=\left(-z+40\right)+3z-44\)

\(29z-544=2z-4\)

29z - 2z = 544 - 4

27z = 540

z = 540 / 27

z = 20

y = -20 + 40

y = 20

Answer:

75%

Step-by-step explanation:

3 is 75 the way to 4 so it would be 75%

Answer:

I'm not sure but if you need to graph go to desmos. That's a very helpful page.

Step-by-step explanation:

To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.

By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.

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\( = \: \: \: c = 0 \\ \\ hope \: it \: \: helps \\ \\ see \: \: the \: \: attachement\)