200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students, 80 plan to major in mathematics, 100 plan to major in computer science, and 30 plan to pursue a double major in mathematics and computer science. Using this information, answer each of the following questions.

Let MMM be the event that a randomly selected student plans to major in mathematics and CCC be the event that a randomly selected student plans to major in computer science.


Khan academy adding probabilities

Answer:

samuel runs 200 yards in 32 seconds, while jake runs 15o yards in 30 seconds. samuel has greater speed than jake

Step-by-step explanation:

Answer:

Area= height x width = (x + 6) (x+ 2) = x^2 + 2x + 6x + 12= x^2 + 8x + 12

Answer:

3 runners will be in the last group

Step-by-step explanation:

So first you need to divide the 819 runners into 6 different groups. Once you do this... you get a total of 136. So there are 136 runners in each of the 6 groups. However, once you get to the end of the division problem, there is a remainder of 3. These three stand for the last 3 runners. Giving you your answer.

I hope this helps you!!!

Answer:

Step-by-step explanation:

Please see diagram attached.

Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.

So they are 110,000 + 110,000 = 220,000km apart.

Answer:

Step-by-step explanation:

AC is 220000km according to the drawing:

Answer: [tex]\$25[/tex]

Step-by-step explanation:

Given

Mr. Cole has $200

He keeps three-fourth of money i.e.

[tex]\Rightarrow 200\times \dfrac{3}{4}=\$150[/tex]

Remaining money is [tex]=200-150=\$50[/tex]

If $50 dollar is distributed among two-child, then each child will get

[tex]\Rightarrow \dfrac{50}{2}=\$25[/tex]

Answer:

Call child abuse

Step-by-step explanation:

so you dont die kid

Answer:

2,3

4,3

3,3

4,5

5,4

6,7

8,8

8,9

Answer:

The diameter of a circle passes through the center of the circle and has its endpoints on the circle itself. The diameter of any circle is two times the length of that circle's radius.

Step-by-step explanation:

To find the diameter of a circle, you need to know the radius of the circle, double it to get the diameter. The radius is the distance from the center of the circle to its edge. If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by π to get the diameter.

Answer:

Any point greater Than 0 and less than 180°

Step-by-step explanation:

Obtuse angle measures are angles which measures angles in the range between 0° and 180°. Angles which lies between these range are called obtuse angles. Hence, from the question, if the ray of points measured does not point to 0° or 180°; then, the ray of angle points could have pointed to any angle between greater Than Zero less than 180.

Hence the points could 10 and 120 or any other values which meets the obtuse angle condition.

Answer:

173-degree angle (any angle larger than 90 degrees is obtuse and why are there favorite numbers all of a sudden????)

145-degree angle (there really is no reason to choose 2 certain numbers)

Step-by-step explanation:

any angle larger than 90 degrees is obtuse, so there you go my children.

-43/204

Step-by-step explanation:

−5/12 × 17/17 + 7/34 × 6/6 =

= −85/204 + 42/204

= −85 + 42/204

= −43/204

Answer:

C

Step-by-step explanation:

Answer:

Please read below:

Step-by-step explanation:

To calculate the area, you'll need πr². In this case, 3.14 * r²

If the radius is 50 feet, you'll calculate 50 * 3.14² which equals 492.98, or, B

Hope this helps :)

Answer:

56.52

Step-by-step explanation:

Circumeference Equation=2πr

Answer:x=8

Step-by-step explanation:

x²-3x=-3x+64

- Add 3x to both sides

x²-3x+3x=-3x+3x+64

= x²=64

- Square both sides

√x²=√64

x=±8

- Since the question is asking for the positive value of x, the answer is 8.

Answer: 235.5 cm³

Step-by-step explanation: Volume of a cylinder is the area of the circular base times the height of the cylinder:

V = π r² h

Given r = 5 cm and h = 3 cm:

V = (3.14) (5 cm)² (3 cm)

V = 235.5 cm³

Answer:

the answer is A just tool the quiz lesson 5 hyperbolas Algebra 2B unit 5 these are the correct answers

1.A

2.B

3.D

4.A

5.B

6.D

7.A

hopes this helps everyone

The hyperbola has two vertices at (-2,0) and (2,0)

We have given that the equation

[tex]\frac{x^2}{4}-\frac{y^2}{9}=1[/tex]

[tex]\frac{x^{2} }{a^2}+\frac{y^2}{b^2} =1[/tex]

Compare the above equation of the hyperbola with given equation

therefore a=2

vertices are (-a,0) and (a,0)

Therefore the vertices are (-2,0) and (2,0)

See the graph of the hyperbola in link given below.

The hyperbola has two vertices at (-2,0) and (2,0)

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Answer:

C) 10 inches

Step-by-step explanation:

I think the simplest way to do this is as follows:

divide 75 by 15 to get how many times you need to multiply 2in by

75/15=5

since 15(5)=75 or the actual size of the airplane,

2(5)=10 which is the size of the model airplane

Answer:

38.1 cm²

Step-by-step explanation:

area of full circle = π6² = 113.04 cm²

area of 150° segment = (150/360)(113.04) = 47.1 cm²

triangle base = sin 75° x 6 x 2 = 11.59

triangle height = cos 75° x 6 = 1.553

area of triangle = 1/2(11.59)(1.553) = 9 cm²

150° segment - triangle = 47.1 - 9 = 38.1 cm²

Answer:

Events A and B are dependent

Step-by-step explanation:

If A and B are two events such as A and B are dependent then

P(A∩B)  P(A) P(B)

An event A will occur with probability 0.4 that is  

An event B will occur with probability 0.6 that is  

The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20

Therefore,

P(A∩B)  P(A) P(B)

So,

events A and B are dependent

Solution :

Given :

[tex]$f(x)=x^3-x^2-18x+19$[/tex]

By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then

[tex]$f(x)=(x-k)q(x)+r$[/tex]

Here, k = 4

Therefore, divide the f(x) with (x - 4) to find the q(x) and r.

           __________________

[tex]$x-4$[/tex]    |    [tex]$x^3-x^2-18x+19$[/tex]         |      [tex]$x^2+3x-6$[/tex]

            [tex]$x^3-4x^2$[/tex]

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

                    [tex]$3x^2-18x$[/tex]

                    [tex]$3x^2-12x$[/tex]

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

                          [tex]$-6x+19$[/tex]

                          [tex]$-6x+24$[/tex]

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

                                  [tex]$-5$[/tex]

Therefore,

q(x) =  [tex]$x^2+3x-6$[/tex]

  r = -5

[tex]$f(x)=(x-4)(x^2+3x-6)-5$[/tex]

[tex]$f(4)=(4-4)(4^2+3 \times 4-6)-5$[/tex]

       [tex]$=-5$[/tex]

The exact value of the cotangent of theta in simplest radical form is -21/20.

What is the simplest radical form?

The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.

To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.

Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:

[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]

Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:

cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)

sin(theta) = opposite/hypotenuse = -20/sqrt(1241)

Now we can find the value of cotangent of theta:

cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))

= -21/20

Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.

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Answer:

50688

Step-by-step explanation:

thats all i got sorry if thats wrong but i hope this helps.

(6x-5)-(-x-4)

6x-5=x+4

6x-x=4+5

5x=9

Answer:

[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]

Step-by-step explanation:

Subtract 4 from both sides:

[tex]4x^2+8x+7-4=4-4[/tex]

Simplify:

[tex]4x^2+8x+3=0[/tex]

Solve with the quadratic formula:

[tex]x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\cdot \:4\cdot \:3}}{2\cdot \:4}[/tex]

[tex]x_{1,\:2}=\frac{-8\pm \:4}{2\cdot \:4}[/tex]

Separate the solutions:

[tex]x_1=\frac{-8+4}{2\cdot \:4},\:x_2=\frac{-8-4}{2\cdot \:4}[/tex]

The solutions to the quadratic equation are:

[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]

Answer: B. Break even point=(0.01)(# of points)(P) / monthly savings

Step-by-step explanation: took the quiz.

The formula for finding the break-even point is: Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit).

The break-even point is the point at which a company's total revenue from sales equals its total costs, resulting in a profit of zero. There is no profit or loss at the break-even point.

The formula for finding the break-even point is:

Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit)

Where:

Thus, the break-even point is the point at which the total revenue from sales equals the total costs, so there is neither a profit nor a loss.

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