Solve the equation for all real solutions. 9q^2 - 11q + 2 = -3q^2​

Given:

A bag containing the numbers 2,4,6,8,10,12.

To find:

The probability of selecting two numbers less than 10.

Solution:

We have,

Total numbers = 6

Numbers less than 10 are 2,4,6,8.

Numbers less than 10 = 4

Probability of getting a number less than 10 is:

[tex]P(\text{Less than 10})=\dfrac{\text{Numbers less than 10}}{\text{Total numbers}}[/tex]

[tex]P(\text{Less than 10})=\dfrac{4}{6}[/tex]

[tex]P(\text{Less than 10})=\dfrac{2}{3}[/tex]

We select the second number with replacement. So, the probability of second draw is same as the probability for first draw.

Probability of selecting two numbers less than 10 is:

[tex]\text{Required probability}=P(\text{Less than 10})\times P(\text{Less than 10})[/tex]

[tex]\text{Required probability}=\dfrac{2}{3}\times \dfrac{2}{3}[/tex]

[tex]\text{Required probability}=\dfrac{4}{9}[/tex]

Therefore, the probability of selecting two numbers less than 10 is [tex]\dfrac{4}{9}[/tex].

Answer:

Para un punto (x, y), el angulo generado entre el eje x y un rayo que conecta el origen de coordenadas con el punto es tal que:

Tan(θ) = y/x

Cos(θ) = x/(√(x^2 + y^2))

Sin(θ) = y/(√(x^2 + y^2))

Y las otras 3 relaciones trigonometricas son las inversas de las de arriba, entonces:

Ctg(θ) = x/y

Sec(θ) = √(x^2 + y^2)/x

Csc(θ) = √(x^2 + y^2)/y

En este caso tenemos el punto (4, -3), es decir:

x = 4

y = -3

Solo tenemos que reemplazar esos dos valores en las seis ecuaciones de arriba:

Tan(θ) = -3/4

Cos(θ) = 4/(√(4^2 + (-3)^2)) = 4/5

Sin(θ) = -3/(√(4^2 + (-3)^2)) = -3/5

Ctg(θ) = 4/(-3) = -4/3

Sec(θ) =  √(4^2 + (-3)^2)/4 = 5/4

Csc(θ) = √(4^2 + (-3)^2)/-3 = 5/-3 = -5/3

Answer:

the answer for this equation is c. -2

Answer:

53.87 because 4 cant round the 6

Step-by-step explanation:

Answer:

53.87

Step-by-step explanation:

4 cannot round the 6

Answer:

S∞=12. Explanation: Formula for sum of infinite geometric series is. S∞=a11−r ; −1<r<1. We have a geometric series ...

Step-by-step explanation:

That's it hope it helps.^^

#carryonlearning

9514 1404 393

Answer:

  583.4 cm³

Step-by-step explanation:

We have the base dimensions, so enough information to find its area:

  A = s²

  A = (10 cm)² = 100 cm²

__

The height of the triangle is found by solving triangle AMV for the distance MV. That is found from the trig relation ...

  Tan = Opposite/Adjacent

  tan(68°) = MV/AM

The length of AM is half the diagonal of the square base, so is (10√2)/2 = 5√2. The length of MV is ...

  MV = AM·tan(68°) = 5√2·tan(68°) ≈ 17.50

So, the volume of the pyramid is ...

  V = (1/3)Bh

  V = (1/3)(100 cm²)(17.50 cm) ≈ 583.4 cm³ . . . . volume of the pyramid

Answer:

y = 12

Step-by-step explanation:

The segments are equal in length, SR = TR, so set up an equation:

[tex]\frac{y^2}{12}=y[/tex]

Multiply by 12.

[tex]y^2=12y\\y^2-12y=0[/tex]

Factor out the y on the left side.

[tex]y(y-12)=0[/tex]

There are two solutions:  y = 0 and y = 12.  The y = 0 solution makes no sence (segment SR can't have a length of 0).  The other solution, y = 12, works just fine.

Answer:

hi people of the 21 century

Step-by-step explanation:

Answer:

the surface area is 133cm.

7 x 7 is 49

7 x 6 is 42.

42 divided by 2 is 21.

21 x 4 is 84

So 84 + 49 is 133.

Answer:

This factors out to be

4(2x+5)(2x+5)

GCF is 4.

This equals 4x^2 +20x+25

[tex]\sqrt{4} \\[/tex]=2

[tex]\sqrt{100}[/tex]=10

Therefore these will be the boxes:

Blank 1: 4

Blank 2: 2

Blank 3: 10

Something that can help you with these types of problems is the "Factoring Calculator by MathPapa" Which I will not put here but can be found by searching that on an engine.

the answer is between 11 and 12

Answer:

1. 8 families with 3 kids

2.25 families

3.20 families

Answer:

=70x^2-138x-72

Step-by-step explanation:

attached is the work in foil method

Answer:

d < -7

Step-by-step explanation:

-38d - 57 > -19d + 76

Add 19d to both sides

-19d - 57 > 76

Add 57 to both sides

-19d > 133

Divide both sides by -19

(when multiplying or dividing by a negative the inequality is reversed)

d < -7

Answer:

d < -7

Step-by-step explanation:

-38d - 57 > -19d +76

Add 19d and 57 to both sides

-19d > 133

Divide both sides by -19 (dividing by negative flips the inequality sign)

d < -7

9514 1404 393

Answer:

  x ≈ -17.457  or  11.457

Step-by-step explanation:

The distance formula can help.

  d = √((x2 -x1)² +(y2 -y1)²)

Substituting given values, we have ...

  15 = √((x -(-3))² +(9 -5)²)

  225 = (x +3)² +16 . . . . . . . . square both sides

  209 = (x +3)² . . . . . . . . . . . subtract 16

  ±√209 = x +3 . . . . . . . . . take the square root

  -3 ± √209 = x . . . . . . . . subtract 3

  x ≈ -17.457  or  11.457

Answer:

3

Step-by-step explanation:

Answer:

C = 18

Step-by-step explanation:

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form

Solution:

A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.

The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).

A right angled triangle is a triangle with one angle equals to 90 degrees.

Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:

sin30 = 9 / C

0.5 = 9 / C

C = 9/0.5

C = 18

Answer:

Option D

Sine and cosine are same for complementary angles.

Answer:

n = 5.25

Step-by-step explanation:

6.5 = 1.25 + n

6.5 - 1.25 = 1.25 - 1.25

5.25 = n

Calculation: 2/3 - 1/2 - fraction calculator. The result is 1/6 ≅ 0.1666667 = onesixth. ... Solve problems with two, three, or more fractions and numbers in one ... From a 1 meter ribbon, Ericka cut 2/4 meter for her hat and another 1/4 meter for ...

Answer:

The perimeter of the figure is approximately 42.85.

Step-by-step explanation:

Based on the given values, you already know that two of the sides of the shape are 12 units long. Since the half-circle above the rectangle is the same size as the gap in the rectangle - you know this because both of the half-circle's diameter are 6 units long - so you can add 24 units to the perimeter of a circle with a diameter of 6. The diameter of the circle is [tex]6\pi[/tex], or approximately 18.85, so the perimeter of the whole figure is approximately 42.85.

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Slope = Change in y over change in x

Looking at the graph, as y goes up 4 x goes up 2

Thus, slope = 4/2 or 2

Answer: the amount of each tractor should have been 15000

Step-by-step explanation:

sorry if wrong pls don’t be mad

Answer:

21 = -10m - 3

Add 3 to both sides:

24 = -10m

Divide by -10 on both sides:

-2.4  = m

Answer:

m = -2.4

Step-by-step explanation:

let me know if you need explanation

Answer:

320 cm squared

Step-by-step explanation:

A=2(wl+hl+hw)

2 × (12 × 4 +7 × 4+ 7 × 12)

Have a good day :)

Answer:

F 20%

Step-by-step explanation:

Answer:

Step-by-step explanation: