A school has 100 students. 40 take English, 30 take Art. 12 take both.What is the probability that a student takes English or Art?What is the probability that a student takes English and Art?What is the probability that a student does not take English?

Answer: x = 9

Step-by-Step Solution:

Hypotenuse = 15 units

Base = 12 units

Altitude = x units

Using Pythagoras Theorem,

=> Hypotenuse^2 = Base^2 + Altitude^2

(15)^2 = (12)^2 + x^2

225 = 144 + x^2

225 - 144 = x^2

81 = x^2

x^2 = 81

x = √81

=> x = 9

Therefore, Altitude = 9 units

Answer:

To multiply 1 3/3 by 1 2/6, we can first convert these mixed numbers to improper fractions, then multiply them together, and finally simplify the result to its simplest form.

1 3/3 can be written as 4/3 (since 1 whole and 3/3 is equivalent to 4/3)

1 2/6 can be written as 8/6 (since 1 whole and 2/6 is equivalent to 8/6)

Now, we can multiply these two fractions together:

4/3 x 8/6 = (4 x 8) / (3 x 6) = 32/18

To simplify this fraction, we can divide the numerator and denominator by their greatest common factor, which is 2:

32/18 = (2 x 16) / (2 x 9) = 16/9

Therefore, the product of 1 3/3 and 1 2/6 is 16/9, or 1 and 7/9 in mixed number form, in its simplest form.

Therefore , the solution of the given problem of interest comes out to be Offer 1 should be selected by the new homeowner since it has a reduced overall cost.

Divide the sum by the funding cost, the remaining time, and other factors to determine the simple interest rate. Principal loan repayment hours is the marketing plan with the simplest return. The simplest way to determine involvement is through this technique. In most instances, income is calculated as a percentage of the starting sum.

Here,

Part A: To start, we must divide the yearly interest rate by 12 to determine the monthly interest rate:

Monthly interest rate equals 24.90% divided by 12 equals 0.0249 per month.

=> Monthly payment = (P * r) / (1 - (1 + r)⁻ⁿ

=> Monthly payment = $104.23 per month

=>  (2784 * 0.0249 / (1 - (1 + 0.0249)(-36)).

Taking the entire number of months (36) into account, we get:

Cost of the whole deal 1 = 36 * $104.23 = $3,751.28

As a result, offer 1's overall price is $3,751.28.

Part B:

First, we figure out the interest rate per month:

Monthly interest rate = 22.90% / 12 = 0.0229 / month.

=> Monthly payment = (P * r) / (1 - (1 + r)⁻ⁿ

=> Monthly payout

=> (1 - (1 + 0.0229)(-48)) / (2784 * 0.0229) ≈ $82.12/month

Using the entire number of months (48) as a multiplier, we obtain:

Cost of the whole deal 2 = 48 * $82.12 = $3,938.56

Part C:

Offer 1 costs $3,751.28 in total, while Offer 2 costs $3,938.56 in total.

Offer 1 should be selected by the new homeowner since it has a reduced overall cost.

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Answer: D. The moon is located perpendicular to Earth and the sun.

Step-by-step explanation: I studied astronomy. :)

The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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Step-by-step explanation:

r = 7x + 7y

8 = 7x + 7 ×2

8 = 7x + 14

7x = 14 - 8

7x = 6

X = 6 / 7

Answer:

it's clear right

Step-by-step explanation:

i hope it's helps

Answer:

between 10 am - 12 pm and 2-4 pm.

Answer:

The answer is 16.90 because 52.50 minus 35.5 is 16.90.

Answer:

m8

Step-by-step explanation:

got it right on ttm

Answer:

m^8

Step-by-step explanation:

it waz right for me

Answer:

1.1 Pull out like factors

6x+3= 3•(2x+1)

2.1 This equation has no solution

A non-zero constant never equals zero

2.2 Solve: 2x+1=0

Subtract 1 from both sides of the equation: 2x= -1

Divide both side of the equation by 2

x= -1/2= -0.500

Answer:

a

Step-by-step explanation:

Answer: No

To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.

If the equation is true, then the ordered pair is a solution to the equation.

If we put (-5,6) into y=-7, we get 6=-7, which is not true.

So, (-5,6) is not a solution to the equation y=-7.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Dividend paid (D) = $2

Growth rate (g) = 4% per annum = 0.04

Expected Dividend in each of the next 3 years :

1st year : $2 * 1.04 = $2.08

2nd year : $2.08 * 1.04 = $2.16

3rd year: $2.16 * 1.04 = 2.2464 = $2.25

B) If the discount rate for the stock is 12 percent, at what price will the stock sell?

Discount rate (r) = 12% = 0.12

Price of stock = Dividend / (r - g)

Price of stock = 2 / (0.12 - 0.04)

Price = 2 / 0.08 = $25

c. What is the expected stock price 3 years from now?

(2.25 * 1.04) / 0.08

2.34 / 0.08 = $29.25

D) If you buy the stock and plan to hold it for 3 years, what payments will you receive? What is the present value of those payments?

Dividend to be received from year 1 to 3

2.08, 2.16, 2.25

Stock price in 3rd year = 29.25

Present value :

(29.25/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08 / 1.12^1) = 26.00

For year 1 :

D = 2.08

Stock price = 2.16/0.08 = 27

Present value (PV) = (27/1.12) + (2.08/1.12) = 25.96

Year 2 :

D = 2.16

Stock price = 2.25/0.08 = 28.125

cashflow = (2.16 + 28.125) = 30.285

PV = (28.125/1.12^2) + (2.16/1.12^2) + (2.08/1.12^1) = 26.00

Year 3:

D = 2.25

STOCK PRICE = 29.25

Total Cashflow = (2.25 + 29.25) = 31.5

PV = (31.5/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08/1.12^1) = $27.60

Hello!

∠AED and ∠BEC are opposite angles

so ∠AED = ∠BEC = 36°.

The linear function parallel to the line represented by y = 3x/4 - 1/2 is given as follows:

y = 3x/4 + 1/2.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

When two lines are parallel, they have the same slope.

The slope of the line y = 3x/4 - 1/2 is given as follows:

m = 3/4.

Hence the equation of the parallel line is given as follows:

y = 3x/4 + 1/2.

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Answer:

D because all the values are greater than the point and do not include the point

Answer:

The Answer Is D

Step-by-step explanation:

Answer:

The slope is 1/2.

Step-by-step explanation:

Answer:

A. Transpiration

Explanation:

Plants put down roots into the soil to draw water and nutrients up into the stems and leaves. Some of this water is returned to the air by transpiration.

Answer:

------------------------

Collinear points are the points on the same line.

There are two lines in the diagram.

The collinear points:

The points that are collinear are  D,G and E  and another set of points which are collinear are L,G and J.

The points which lie on the same straight line are known as collinear points.

Similarly, if three or more number of points are collinear then they form a straight line.

If we observe the figure, the points D,G and E are collinear points as they are on same line.

Similarly the points L, G and H are in the straight line which makes them collinear.

Therefore , the points L,G and J are collinear points.

Hence, the points that are collinear are  D,G and E and another set of points which are collinear are L,G and J

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Answer:

Hope its help u

Step-by-step explanation:

solve

50 x + 56 y = 690

65 x + 48 y = 711

The solution is find out by Cramer's rule as you have not mentioned any specific method,

Its in image

The moment about A of the force exerted by the cable at b is 4704 lb-ft. To find the moment, we need to first find the perpendicular distance between the force vector and point A.

We can use the trigonometric relationship sin(theta) = opposite/hypotenuse to find this distance, where theta is the angle between the boom and the cable.

The force exerted by the cable can be broken down into horizontal and vertical components. The horizontal component is equal to the tension in the cable, which is 392 lb. The vertical component is equal to

To find the moment about A, we can multiply the horizontal component by the perpendicular distance between the force vector and point A:

We also need to consider the moment due to the vertical component. Since this force passes through point A, it does not create any moment about A.

Therefore, the total moment about A is:

However, we need to take into account the direction of the moment. Since the horizontal component of the force is in the opposite direction to the rotation of the boom, the moment is negative. Therefore, the final answer is:

Moment about A = -3,763.2 lb-ft = 4,704 lb-ft (rounded to the nearest whole number)

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Answer:

The first one is acute, the second is right, and the third is obtuse.

Step-by-step explanation:

Hope this helps :)

Have an excellent day!

~sunny~

Answer:

Angle 1 - acute angle

Angle 2 - right angle

Angle 3 - obtuse angle

Step-by-Step Explanation:

The acute angle is smaller than right angles, right angles are 90 degrees, and obtuse angles have larger degree angle than right angles.  

This value is slightly over 3.33 million dollars

=======================================================

Work Shown:

400,000 dollars represents 12% of the company's total value

Let x be that total value

12% of x = 400,000

0.12*x = 400,000

x = (400,000)/(0.12)

x = 3,333,333.33

Don't forget to round to the nearest cent.

the implied valuation of the company will be around 3.33 millions dollar.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, If you raised $400,000 in a stock sale and gave up 12% of your company.

Since,

12% of your company worth = 400,000

So,

1% of your company = 400,000/12

1% of your company = 100,000/3

Thus,

the valuation for the whole company = 100,000/3 * 100

the valuation for the whole company = 33,33,333.33$

Therefore, the implied valuation of the company will be around 3.33 millions dollar.

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The correlation of the rates of return between x and y is the closest to = 0.4

Correlation is a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate). It's a common tool for describing simple relationships without making a statement about cause and effect.

Calculation for the correlation of the returns,

Using this formula,

Covariance of the returns = Correlation coefficient between the returns*Stock returns standard deviation*Mod T Stock returns standard deviation

The sample standard deviations of the rates of return for stock x and stock y were 0.20 and 0.12

The sample covariance between the returns of x and y is 0.0096.

Let plug in the formula

Covariance of the returns = Correlation * (0.20) * (0.12)

0.0096 = Correlation * (0.20) * (0.12)

0.0096 = Correlation * 0.024

0.0096 / 0.024 = Correlation

0.4 = Correlation

Correlation = 0.4

Therefore,

The correlation of the rates of return between x and y is the closest = 0.4

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Step-by-step explanation:

Given,

a=6

b=3

c=5

Now,

a+b+c

=6+3+5

=14

The probability of rolling a number that is either a prime number greater than 2 and ending in 6, or the number 7, is 5/10 or 1/2.

The chance or potential of a result is referred to as probability. It explains the probability of a particular occurrence.

The chance of rolling a prime number or a 6' prime prime on a die is the total of the probabilities of rolling each of those numbers, assuming that the 10-sided die is fair and that all sides are equally likely to land face up.

A 10-sided dice has the following four prime numbers: 2, 3, 5, and 7. Moreover, there is only one number that is 6' prime (or 6"), and that number is 9. Only one number exists, and that is seven. Hence, the likelihood that a prime number or 6' prime prime will be rolled is:

P(prime or 6' prime prime) = P(2) + P(3) + P(5) + P(7) + P(9)

Since there are 10 possible outcomes, each with an equal probability of 1/10, the probability of rolling any single number is 1/10. Therefore:

P(2) = P(3) = P(5) = P(7) = 1/10

P(9) = 1/10

Substituting these values into the equation above gives:

P(prime or 6' prime prime) = 1/10 + 1/10 + 1/10 + 1/10 + 1/10

1/10 = 6/10 = 3/5

Therefore, the probability of rolling a prime number or 6' prime prime on a 10-sided die is 3/5.

Correct question Suppose you roll a special 36-sided die. What is the probability that the number rolled is a "1" or "2"?

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Answer:

Step-by-step explanation:

Answer:

First choice

Step-by-step explanation:

X= - 2/3; - 20/9

Answer:

Let the required number be 'x'.

Then,

x + 2.2 = 34.5 - 12.3

or, x = 34.5 - 12.3 - 2.2

or, x = 20

So, the required number is 20.

Answer:

I know you go to aops...

Step-by-step explanation:

The class had cleaned x × A square miles before lunch.

Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).

If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:

Area cleaned before lunch = x × A

Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.

Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).

If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:

Before lunch, the area was cleaned = x A

We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.

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Answer:

exact form: x=20/9

decimal Form: x=2.222...

Step-by-step explanation: