What is the slope of a line perpendicular to the line whose equation is x-3y=-18

Answer:

$25,695

Step-by-step explanation:

You can calculate the price of the car in 2000 using the formula to calculate the future value:

FV=PV(1+r)^n

FV= future value

PV= Present value: $7,500

i= rate: 5.5%

n= number of years: 2000-1977= 23

FV= 7,500*(1+0.055)^23

FV= 7,500*(1.055)^23

FV= 7,500*3.426

FV= 25,695

According to this, the approximate value of the car at the time of the auction is $25,695.

Answer:

Step-by-step explanation:

\(\frac{X}{2} =\frac{X+2}{3} \\\\3x=2x+4\\\\x=4\)

hope it helps....

The number 0.1875 is a Rational number.

What is Rational number?

If a number can be expressed as a fraction of two integers then its called Rational number.

Given that;

The number = 0.1875

Now, Determine if it is rational or not we can convert it into fraction as;

0.1875 = 1875/10000

Divide numerator and denominator by 25,

= 75/400

Again, Divide numerator and denominator by 25,

= 3/16

Clearly, The above is a rational number because it can be expressed as a fraction of two integers.

So, The number 0.1875 is a Rational number.

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Handy should produce 5400 units of C1 and 5600 units of C2 and the production plan should remain the same, with 5400 units of C1 and 5600 units of C2 being produced.

1. To develop a production plan for Handy, we need to calculate the expected demand for each component under each scenario. This is done by multiplying the demand for each scooter by the number of components used in its production, and then multiplying by the probability of each scenario occurring.

Expected demand for C1 = (600 x 6 x 0.3) + (400 x 6 x 0.4) + (300 x 6 x 0.3) + (200 x 10 x 0.3) + (400 x 10 x 0.4) + (500 x 10 x 0.3) = 5400

Expected demand for C2 = (600 x 10 x 0.3) + (400 x 10 x 0.4) + (300 x 10 x 0.3) + (200 x 4 x 0.3) + (400 x 4 x 0.4) + (500 x 4 x 0.3) = 5600

Therefore, Handy should produce 5400 units of C1 and 5600 units of C2.

2. To determine whether Handy should retool its production system to develop C3, we need to compare the expected cost of production with and without the new component.

Without C3:

Expected cost = (5400 x $8) + (5600 x $12) = $43,200 + $67,200 = $110,400

With C3:

Expected cost = (5400 x $14) + (5600 x $14) = $75,600 + $78,400 = $154,000

Since the expected cost of production with C3 is higher than without C3, Handy should not retool its production system to develop the new component. The production plan should remain the same, with 5400 units of C1 and 5600 units of C2 being produced.

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Answer:

The drama club bought 35 t-shirt

Step-by-step explanation:

Let

t-shirt = x

Sweatshirt = y

Total cost = $795

They purchase 20 more tshirts than sweatshirts

x = y + 20

The equation is:

12x + 25y = 795

12(y + 20) + 25y = 795

12y + 240 + 25y = 795

37y = 795 - 240

37y = 555

y = 15

Substitute y = 15 into

x = y + 20

x = 15 + 20

x = 35

t-shirt = 35

Sweatshirt = 15

The drama club bought 35 t-shirt

Step-by-step explanation:

False.

intersects the y-axis => x=0

tan (0+ π/6) = tan π/6 = 0.58

instead of 1.73

The probability of selecting red balls from a bag containing both red and blue balls is equal to the number of red balls divided by the total number of balls. In this example, let's assume there are 10 red balls and 10 blue balls, so the probability of selecting a red ball would be 10/20 or 1/2, or 50%.

To explain further, the probability is the likelihood of an event occurring and is expressed as a number between 0 and 1, or a percentage between 0% and 100%. A probability of 0 means the event will never happen, while a probability of 1 means it will always happen. The probability of selecting a red ball in this example is 50%, meaning that it is equally likely to select either a red ball or a blue ball.

In other words, if the bag contained 10 red balls and 10 blue balls and you randomly selected one ball from the bag, there is a 50% chance that the ball will be red and a 50% chance that the ball will be blue.

If the number of red balls or blue balls changes, the probability of selecting a red ball would also change. For example, if the bag contained 6 red balls and 10 blue balls, the probability of selecting a red ball would be 6/16 or 3/8, or 37.5%.

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To represent the proportional relationship between the number of apples, x, and the amount of cinnamon, y, we can set up a proportion based on the given information which will be 2 * x = 3 * y.

The recipe states that there are 2 teaspoons of cinnamon for every 3 apples. Using this information, we can set up the following proportion:

2 teaspoons of cinnamon / 3 apples = y teaspoons of cinnamon / x apples

To express this proportion as an equation, we can cross-multiply:

2 * x = 3 * y

This equation represents the proportional relationship between the number of apples, x, and the amount of cinnamon, y. It states that the product of the number of apples and the amount of cinnamon is equal to a constant value, which indicates that the two quantities are in a proportional relationship.

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Answer:5

Step-by-step explanation:

yh thereu go

Answer:

8 grams

Step-by-step explanation:

u add 2 triangles

The mean absolute deviation of the data set is 2.5.  

It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance known as the MAD.

Given data:

10, 8, 10, 6, 6, 2, 10, 4

Using mean absolute deviation formula:

MAD = ∑ (xi - x)/n

So,

X = (10+8+10+6+6+2+10+4)/9

X = 56/8 = 7

Now, substituting the values in MAD formula

MAD = 20/8

MAD = 2.5

Hence, the mean absolute deviation of the data set is 2.5.

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Answer: A g (x)= [x+4]-2

Step-by-step explanation:

Answer:

well, 45/18 = 2.5

So she will need 2.5 as much of everything in her recipe

what is 2.5*(3 1/4) ?

do it as 2.5*3.25 or (5/2)(13/4)

Step-by-step explanation:

A method to swap two array elements works correctly because it is designed to swap the entire elements at two different indexes in an array.

The method receives two integer values representing the indexes of the elements to be swapped and then proceeds to swap the elements themselves.
On the other hand, a method to swap two integer values does not work correctly because integers are passed by value, which means that the method receives a copy of the integer values rather than the original values themselves. Thus, the method only swaps the copies and not the original values, and as a result, the original values remain unchanged.
To overcome this issue, one can use a workaround such as passing the integer values as references instead of values. This way, the method receives a reference to the original value, and any changes made to the reference will affect the original value as well. However, this approach can be more complex and less efficient than simply swapping array elements.

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The probability that someone random in your neighborhood will have a pet rabbit but no ice cream in their freezer is 0.05.

The probability that someone random in your neighborhood will have a pet rabbit but no ice cream in their freezer can be calculated by multiplying the probability of having a pet rabbit (0.20) with the probability of not having ice cream (1 - 0.75).

The probability of not having ice cream is obtained by subtracting the probability of having ice cream from 1. So, the probability of not having ice cream is 1 - 0.75 = 0.25.

Now, we can calculate the desired probability by multiplying the probability of having a pet rabbit (0.20) with the probability of not having ice cream (0.25):

P(pet rabbit and no ice cream) = P(pet rabbit) * P(no ice cream)

                               = 0.20 * 0.25

                               = 0.05

Therefore, the probability that someone random in your neighborhood will have a pet rabbit but no ice cream in their freezer is 0.05.

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Liberal arts colleges have a higher median SAT score and a lower acceptance rate compared to research universities, while research universities have a higher expenditure per student and a higher percentage of top 10% high school graduates.

Descriptive statistics were calculated for liberal arts colleges and research universities based on the data given in the Excel file. The summary of descriptive statistics for each variable by school type is as  shown in the table.

Based on the results, it appears that liberal arts colleges have higher median SAT scores, lower acceptance rates, and lower expenditures per student than research universities. On the other hand, research universities have higher mean expenditures per student and higher median percentages of top 10% high school graduates than liberal arts colleges. Overall, there are differences in the characteristics of these two types of colleges.

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--The complete question is, Compute descriptive statistics for liberal arts colleges and research universities in the Excel file Colleges and Universities. Compare the two types of colleges. What can you conclude?

Colleges and Universities

School Type Med SAT Accept Rate Exp./Student Top 10% HS Grad %

Amherst Lib Arts 1315 22% $26,636 85 93

Barnard Lib Arts 1220 53% $17,653 69 80

Bates Lib Arts 1240 36% $17,554 58 88

Berkeley Univ 1176 37% $23,665 95 68

Bowdoin Lib Arts 1300 24% $25,703 78 90

Brown Univ 1281 24% $24,201 80 90

Bryn MawrLib Arts1255 56% $18,847 70 84

Cal Tech Univ 1400 31% $102,262 98 75

Carleton Lib Arts 1300 40% $15,904 75 80

Carnegie University1225 64% $33,607 52 77

Claremont Lib Arts1260 36% $20,377 68 74

Colby Lib Arts 1200 46% $18,872 52 84

Colgate Lib Arts 1258 38% $17,520 61 85

ColumbiaUniversity1268 29% $45,879 78 90

Cornell University1280 30% $37,137 85 83

DavisdsonLib Arts 1230 36% $17,721 77 89

Duke University 1310 25% $39,504 91 91

GeorgetownUniv 1278 24% $23,115 79 89

Grinnell Lib Arts 1244 67% $22,301 65 73

HamiltonLib Arts 1215 38% $20,722 51 85

Harvard Univ 1370 18% $46,918 90 90

HaverfordLib Arts 1285 35% $19,418 71 87

Johns Hop. Univ 1290 48% $45,460 69 86

MiddleburyLib Arts 1255 25% $24,718 65 92

MIT University 1357 30% $56,766 95 86

Mount Lib Arts 1200 61% $23,358 47 83

NWrn University 1230 47% $28,851 77 82

Oberlin Lib Arts 1247 54% $23,591 64 77

Occidental Lib Arts 1170 49% $20,192 54 72

Pomona Lib Arts 1320 33% $26,668 79 80

Princeton University 1340 17% $48,123 89 93

Rice University 1327 24% $26,730 85 88

Smith Lib Arts 1195 57% $25,271 65 87

Stanford University 1370 18% $61,921 92 88

Swarthnore Lib Arts 1310 24% $27,487 78 88

U of MI University 1195 60% $21,853 71 77

U of Chi University 1300 45% $38,937 74 73

U of Roc University 1155 56% $38,597 52 73

U PA University 1280 41% $30,882 87 86

U Va University 1218 37% $19,365 77 88

UCLA University 1142 43% $26,859 96 61

UNC University 1109 32% $19,684 82 73

Vassar Lib Arts 1287 43% $20,179 53 84

Wash U University 1225 54% $39,883 71 76

Wash & Lee Lib Arts 1234 29% $17,998 61 78

Wellesley Lib Arts 1250 49% $27,879 76 86

Wesleyan Lib Arts 1290 35% $19,948 73 91

Williams Lib Arts 1336 28% $23,772 86 93

Yale University 1350 19% $52,468 90 93--

a

=

334

a

73

Write the problem as a mathematical expression.

a

=

334

a

73

Subtract

334

a

73

from both sides of the equation.

a

−

334

a

73

=

0

Factor

a

out of

a

−

334

a

73

.

Tap for more steps...

a

(

1

−

334

a

72

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

a

=

0

1

−

334

a

72

=

0

Set

a

equal to

0

.

a

=

0

Set

1

−

334

a

72

equal to

0

and solve for

a

.

Tap for more steps...

a

=

1

72

√

334

,

−

1

72

√

334

The final solution is all the values that make

a

(

1

−

334

a

72

)

=

0

true.

a

=

0

,

1

72

√

334

,

−

1

72

√

334

The result can be shown in multiple forms.

Exact Form:

a

=

0

,

1

72

√

334

,

−

1

72

√

334

Answer:

-5

Step-by-step explanation:

y=mx+b is the slope intercept formula.

m is the slope.

Answer:

slope = - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 5x - 1 ← is in slope- intercept form

with slope m = - 5

Answer:

vbvb

Step-by-step explanation:

The conditional probability mass function P(X=k∣X+Y=m)= P(X=k, Y=m-k) / P(X+Y=m)

To find the conditional probability mass function P(X=k∣X+Y=m) for independent Poisson random variables X and Y, follow these steps:

1. Write down the joint probability mass function of X and Y:

P(X=k, Y=n)

= P(X=k) * P(Y=n)  since X and Y are independent.
2. Express P(X=k) and P(Y=n) using the Poisson probability mass function:

P(X=k) = (e^(-λx) * λx^k) / k! and P(Y=n) = (e^(-λy) * λy^n) / n!

3. Plug these expressions into the joint probability mass function:

P(X=k, Y=n)

= [(e^(-λx) * λx^k) / k!] * [(e^(-λy) * λy^n) / n!]

4. Write down the marginal probability mass function for

X+Y: P(X+Y=m)

= Σ [P(X=k, Y=m-k)]   for k=0 to m, where the summation is over all possible values of k.

5. Calculate the conditional probability mass function P(X=k∣X+Y=m) by dividing the joint probability mass function by the marginal probability mass function:

P(X=k∣X+Y=m) = P(X=k, Y=m-k) / P(X+Y=m)

In summary, the conditional probability mass function P(X=k∣X+Y=m) for independent Poisson random variables X and Y can be found using the joint probability mass function, the Poisson probability mass function, and the marginal probability mass function.

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Answer:

GH = 4

Step-by-step explanation:

given H is on the line GI , then

GH + HI = GI , that is

5x - 6 + 2 = 3x ( subtract 3x from both sides )

2x - 4 = 0 ( add 4 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Then

GH = 5x - 6 = 5(2) - 6 = 10 - 6 = 4

The given set of functions is linearly independent since the coefficients of the equation a1(1 + x) + a2(2x) + a3(x²) = 0 are equal to zero if and only if a1 = a2 = a3 = 0. Therefore, the given set of functions is linearly independent.

(a) The given set of functions is linearly independent on the interval (-∞, ∞) if and only if the coefficients of the equation a1f1(x) + a2f2(x) + a3f3(x)

= 0 are equal to zero. The given set of functions is linearly independent since the coefficients of the equation a1 sin x + a2(0) + a3 ln x

= 0 are equal to zero if and only if a1

= a2

= a3

= 0. Therefore, the given set of functions is linearly independent.(b) The given set of functions is linearly independent on the interval (-∞, ∞) if and only if the coefficients of the equation a1f1(x) + a2f2(x) + a3f3(x)

= 0 are equal to zero. The given set of functions is linearly independent since the coefficients of the equation a1(3) + a2(-sin²(x)) + a3(cos²(x))

= 0 are equal to zero if and only if a1

= a2

= a3

= 0. Therefore, the given set of functions is linearly independent.(c) The given set of functions is linearly independent on the interval (-∞, ∞) if and only if the coefficients of the equation a1f1(x) + a2f2(x) + a3f3(x)

= 0 are equal to zero. The given set of functions is linearly independent since the coefficients of the equation a1(1 + x) + a2(2x) + a3(x²

= 0 are equal to zero if and only if a1

= a2

= a3

= 0. Therefore, the given set of functions is linearly independent.

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Answer:

-3x²-12x is your answer

Answer:

Step-by-step explanation:

Answer:

5th term = 20

6th term = 23

Step-by-step explanation:

nth term = 3n + 5

Find the 5th term

When n = 5

5th term = 3n + 5

= 3(5) + 5

= 15 + 5

= 20

5th term = 20

Find the 6th term

When n = 6

6th term = 3n + 5

= 3(6) + 5

= 18 + 5

= 23

6th term = 23

Answer:

Thanks

23 answer

Step-by-step explanation:

Answer:

y≤ 2/3x+1/5

Step-by-step explanation:

y≤ 2/3x+1/5

The length of segment RS is given as follows:

RS = 24.

The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.

The segment RT is the combination of segments RS and ST, hence:

RT = RS + ST.

Hence the length of segment RS is given as follows:

41 = RS + 17

RS = 24.

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We know that 1 hour = 60 minutes.

Set equal proportions for both Laisha and Jefford to find the distance x and y they bike in 60 minutes:

Laisha will bike farther by:

Answer:

46 degrees

Step-by-step explanation:

180 - 102 - 32 equals to 46