In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them
play baseball. There are 5 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?

The answers for following questions are;

i. $244.64

ii. $ 5314.64

Future value (FV) is the value of a current asset at a future date based on an assumed rate of growth. The future value is important to investors and financial planners, as they use it to estimate how much an investment made today will be worth in the future.

Here, future value or amount;

          A = P(1 + r)ⁿ

Where,

A = future value = ?

P = principal = $ 12,300

r = interest rate = 6%/12 = 0.06/12 = 0.005

n = number of periods = 12 X 6 years = 72

A = P(1 + r)ⁿ

= 12,300(1 + 0.06/12)⁷²

= 12300 (1 + 0.005)⁷²

= 12300 (1.005)⁷²

= 12300 (1.4384)

= 17,614.64

Each monthly payment = Total payment / number of months

= $17,614.64 / 72

= $ 244.64

Total amount of interest = Total payment - Principal payment

                                          =   17,614.64 - 12300

                                          =   $ 5314.64

Thus, The answers for following questions are;

i. $244.64

ii. $ 5314.64

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Answer: the answer is a

Step-by-step explanation:

knowed that the 3rd side of a triangle need being greater than the difference of the given two sides length and less that the sum of the given two sides length

so with these knowledge we get

x > (9-6) so x > 3

and

x < (9+6) so x < 15

from these result that the 3rd side length can being choice B. 4 ,C. 7,F. 10,

E. 12,

hope this will help you .
PLS MARK ME AS BRAINLIEST.

Answer:

Just put it into a calculator

0.97053528353

[tex]\text{Let's find the sine of -105 degrees}\\\text{Start by typing -105 into our calculator}\\\text{and click the sin button}\\\text{It gives us an irrational number, which is the sine of -105 degrees}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{The value is end less, it would take an eternity to type it here,}\\\text{ but I will round it to the nearest 100th}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{-0.97}[/tex]

Answer:

5.0 6.0 7.0 7.5 8.0 9.0 10.0

arranging the following

5.0 , 6.0 , 7.0 , 7.5 , 8.0 , 9.0, 10.0

7.5 is the median..

Thus, for drawing the graph for y = 3/4x + 7.

For drawing the graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of __7_, a second point by going over 3 and up __8.25__, and then draw a line through the points.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

For this case, the equation given to us is:

y=3/4x+7

Any equation of the form y=mx+c where m and c are constants and x and y are variables is the equation of a straight line.

For a straight line to be characterized, only two points are sufficient.

For x = 0, the y-coordinate would be such that it would satisfy the equation

y=3/4x+7

Putting x = 0, we get:

y=3/4(0)+7

y=7

Thus, the y-coordinate of the point on this line whose x-coordinate is 0 is 7. Thus, (0,7) is one of the point coordinates on the considered line.

Putting x = 3, we get:

y=3/4(3)+7

y=9.25

Thus, the y-coordinate of the point on this line whose x-coordinate is 0 is 9.25. Thus, (0,9.25) is another of the point's coordinates on the considered line.

Thus, for drawing the graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of __7_, a second point by going over 3 and up __8.25__, and then draw a line through the points.

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Answer:

4 X 60 = 240 minutes

Step-by-step explanation:

there are 60 minutes in each hour

Answer:

€3.75

Step-by-step explanation:

1. Formulate:

5×(2.25 - 1.5)

2. Calculate:

5×(2.25-1.5)

5× 0.75

=3.75

Answer

3.7/ €3.7

Answer:

x-23=.55

Step-by-step explanation:

Answer: 0.55 = x - 23

Step-by-step explanation:

let his savings = x

Answer:

£8 : £12

Step-by-step explanation:

2:3 means that there are 5 parts in total. Let parts be represented as p. 5p = £20, p = £4. That meant 2 parts = £8 and 3 parts = £12. Hence to share £20 in the ratio 2:3 is £8 : £12

Answer:

180 cm squared

Step-by-step explanation:

Area Of A Rectangle is Length times Width, so 20 times 9, which equals 180.

Answer:

≈ 47.2 m

Step-by-step explanation:

let the height from the sea to the base of lighthouse be h₁

let the height from the sea to the top of the lighthouse be h₂

using the tangent ratio in the right triangle

tan55.1° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h_{1} }{610}[/tex] ( multiply both sides by 610 )

h₁ = 610 tan55.1°

tan56.5° = [tex]\frac{h_{2} }{610}[/tex] ( multiply both sides by 610 )

h₂ = 610 tan56.5°

then

height of lighthouse = h₂ - h₁        

                                  = 610 tan56.5° - 610 tan55.1°

                                  = 610(tan56.5° - tan55.1° )

                                 ≈ 47.2 m ( to the nearest tenth )

The length of the rectangle is 100cm.

The breadth of the rectangle is 4cm.

The square encloses more area than the rectangle.

The first step is to determine the area of the square.

Area of a square = length² = 50² = 2500 cm²

Area of a rectangle = length x width

length = area / width

2500 / 25 = 100cm

The first step is to determine the perimeter of the square.

Perimeter = 4 x length

4 x 5 = 20cm

Perimeter of a rectangle = 2(length + width)

breadth = (perimeter / 2) - length

(20 / 2) - 6

10 - 6 = 4cm

Area of the square = 5 x 5 = 25

Area of the rectangle = 6 x 4 = 24

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Answer:

Step-by-step explanation:

-3 +2 +-1 +-2 +-3 +1 = -6 yards total

-6 / 6 =  -1 yard per play average

It will have little to no effect on the median, but it will make the mean a less useful measure of center.

The initial data elements are given as:

35, 25, 15, 40, 50

When a new data element is added, we have:

35, 25, 15, 40, 50, 95

See that 95 is far from the other data elements.

This means that 95 is an outlier of the data elements

Outliers have effects on the mean and it renders the mean useless.

However, it has little to no effect on the median

Hence, the true statement is (d)

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Answer:

Step-by-step explanation:

it will have little to no effect on the median but will make the mean a less useful measure of center.

Answer:

A. B. C. D.

Step-by-step explanation:

because Which statement describes the end behavior of the function f(x)= |x-7| -7?

A. As x approaches negative infinity, f(x) approaches negative infinity.

B. As x approaches negative infinity, f(x) approaches positive infinity.

C. As x approaches positive infinity, f(x) is no longer continuous.

D. As x approaches positive infinity, f(x) approaches negative infinity.

Option A is the correct answer.

The independent variable is the input variable and should be represented by the x-axis.

A variable is a symbol and placeholder for a quantity that may change, or any mathematical object. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.

For the Scatterplot, out of given options,

Option A is the correct option which represents The independent variable is the input variable and should be represented by the x-axis.

Thus, The independent variable is the input variable and should be represented by the x-axis.

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Answer:

please help me find em ah and I will be able to do what I can

Answer:

11∗2+13∗4+15∗6+⋯+199∗100=?

=(1−12)+(13−14)+(15−16)+⋯+(199−1100)

=(1+13+15+17+⋯+199)−(12+14+16+⋯+1100)

=(1+13+15+17+⋯+199)−12(1+12+13+⋯+150)

=∑k=15012k−1−∑k=15012k

Continue further.

Answer:

Las dimensiones del rectángulo son:

ancho = 16 cm

largo = 20 cm

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

perímetro = 2(largo + ancho)

25% más grande = 125% = 125/100 = 1.25

Planteamiento:

2(a+b) = 72

b = 1.25a

a = longitud del ancho

b = longitud del largo

Desarrollo:

de la primer ecuación del planteamiento:

a+b = 72/2

a+b = 36

b = 36 - a        Ec. 3

Igualando la segunda ecuación del planteamiento con la Ec. 3:

1.25a = 36 - a

1.25a + a = 36

2.25 a = 36

a = 36/2.25

a = 16

de la Ec. 3:

b = 36 - a

b = 36 - 16

b = 20

Comprobación:

de la primera ecuación del planteamiento:

2(a+b) = 72

2(16+20) = 72

2*36 = 72

The points are (168, 168) , (168,56) , (112,0) , (70,112)

Given a scale factor is 14 and the center of dilation (0,0)

We need to find the Points using the scale factor and polygon tool

Now to find the new points the equation is

(old points - dilation center)*scale factor + dilation center

As we know the origin is the dilation center which simplifies to

(old point)*dilation center

(12,12) * 14  =  (168,168)

(12,4) * 14 = (168, 56)

(8,0)*14  =   (112, 0)

(5,8) *14  = (70, 112)

Hence the new points are  (168, 168) , (168,56) , (112,0) , (70,112)

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Answer:

Mean: 19.366666666667

Step-by-step explanation:

Mean: Average of the Data set

If you add the numbers below and divide them by the amount of numbers there are, you will get the average of the data set.

14,14,14,15,15,15,15,15,16,16,16,16,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,19,19,19,19,20,20,20,20,20,21,21,21,21,22,22,22,23,23,23,23,23,24,24,24,24,24,24,25,25,25,25

Average= sum/count

Mean= 1162 / 60

Mean= 19.366666666667

Rounded to the nearest tenth: 19.4

Rounded to the nearest hundredth: 19.37

Answer:

4w + 10 = 116

Step-by-step explanation:

Call the width w.

The length is 5 more than that, so the length is w + 5

Perimeter is 2w + 2l

2w + 2(w+5) = 116

Distribute the 2 to the values in the parentheses.

2w + 2w + 10 = 116

Combine like terms

4w + 10 = 116

The cost price of the table is $40.

Gain is the amount gain by selling the product at a higher price than its cost.

Let the cost of the table is $ x

The percentage gain is x%  (as given in the question)

Cost price = ?

It is known that

Step 1 : Gain = ( selling Price - Cost Price) * 100 / Cost Price

Selling price = 56

Cost Price = $ x

Therefore substituting the value

x = (56 - x) * 100 / x

x² = 5600 - 100x

x² +100x -5600 = 0

Step 2 : Factorizing

x² + 140x - 40 x -5600 = 0

x( x+14 ) -40( x +14) = 0

( x - 40)(x +14) = 0

x = $40

Therefore the cost price of the table is $40.

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Answer:

28.26 feet squared

Explanation:

Area of circle is determined by : π(radius)²

Here given:

Solve for area:

Answer:

28.26 feet squared

Step-by-step explanation:

Radius of the watering pattern = 3 feet

Area = π r²

= 3.14 × 3²

= 28.26 feet squared

Answer:

D

Step-by-step explanation:

A. The domain is not all real numbers since the domain of the inverse is the range of the square root function which is not all real numbers.

B and C. The domain is not x >= -4, that's the range since the domain and range are swapped relative to the original square root function which had a domain x >= 4 and a range x >= 0

D. This is true since the range of the square root function is x >= 0 which is now the range of the inverse.

Step-by-step explanation:

1. True

2. False

3. True

5. Falsw

6.True

7.True

8.False

10.True

15. always

17. always