MATHEMATICS COLLEGE

What is x2 + 2x + 9 = 0

Answers

Answer 1

Answer:

Answer:

x has no real solution

Step-by-step explanation:

Our equation is qudratic equation so the method we will follow to solve it is using the dicriminant :

Let Δ be the dicriminant
a=1
b=2
c=9
Δ= 2²-4*1*9 =4-36=-32
we notice that Δ≤0⇒x has no real solution

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In? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For? example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is? 3, the odds of winning are 2:3(Note; if the odds of winning are 2/3, the propability of sucess is2/5)The odds of event occuring are 1:6. Find (a) the propability that the event will occur,(b) propability that the event will not occur.(a)The propability that event will occur is....(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED.)(b)The propability thet the event will not occur is...(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED)
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Which of the following is a polyhedron? Check all that apply.A. Prism
B. Pyramid
C. Cone
D. Polygon

Answers

A polyhedron is three dimensional solid that only has flat faces. It contains vertices and straight edges. From the choices, the solids that would be considered as polyhedron are prism and pyramid. A cone cannot be considered as such since it containsa round surface. A polygon is a two dimensional shape thus it does not satisfy the condition of a polyhedron.

The Prism and Pyramid is a typical example of polyhedron. That is optionA and B.

The polyhedron

A polyhedron is any solid that has a three dimensional shape with all its sides flat. It is made up of different polygons that join together.

These polyhedron are made up of three parts:

The face: They are the flat surfaces

The edge: The region where two flat surfaces meet

The vertex: The point of intersection of the edges of the polyhedron.

Examples of polyhedron are the Prism and Pyramid. The prisms have flat faces and is made up of rectangles while the pyramids is made up of triangles and different polygons.

Therefore, the Prism and Pyramid is a typical example of polyhedron.

Learn more about polyhedron here:

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PLEASE HELP ME SOLVE THIS.STEP-BY STEP
THANK YOU !!!

I really don't know how to calculate this question.

(3 tan 45°)(4 sin 60°)-(2 cos 30°)(3 sin 30°)

Answers

Answer:

$9\,\sin(60^\circ)$ , which is equal to $\displaystyle (9√(3))/(2)$ .

Step-by-step explanation:

An angle of $45^\circ$ corresponds to an isosceles right triangle: the length of the two legs (adjacent and opposite) would be equal. Accordingly:

$\displaystyle \tan(45^\circ) = \frac{\text{Opposite Leg}}{\text{Adjacent Leg}} = 1$ .

Let $A$ denote the measure of an angle. Double-angle identity for sine:

$2\, \sin(A) \cdot \cos(A) = \sin(2\, A)$ .

By this identity:

$\begin{aligned}& (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \n &= 3\, (2\, \cos(30^\circ) \cdot \sin(30^\circ)) \n &= 3\, \sin(2 * 30^\circ) \n &= 3\, \sin(60^\circ)\end{aligned}$ .

( $A = 30^\circ$ in this instance.)

Hence:

$\begin{aligned}&(3\, \tan(45^\circ)) \cdot (4\, \sin(60^\circ)) - (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \n &= 12\, \sin(60^\circ) - 3\, \sin(60^\circ) \n &= 9\, \sin(60^\circ)\end{aligned}$ .

$\displaystyle \sin(60^\circ) = (√(3))/(2)$ . Therefore, $\displaystyle 9\, \sin(60^\circ) = (9 √(3))/(2)$ .

Here's a graph of a linear function. Write the equation that describes that function.

Answers

Answer:

2/3x + 1

Step-by-step explanation:

The y-intercept is 1. you can see that when x increases three, y increases 2.

In the school parking lot there were 113 fewer bikes than cars. There were 185 cars. How many cars and bikes were there in the parking lot? What is the estimated amount?

Answers

There is 185 cars and bike is 72

For each boat he sells, Mick earns $149 in addition to 2% of the purchase price of the boatas commission. How much will Mick earn for a boat that was purchased at $65,000?

Answers

Answer:

c = 149 + 0.02p

Step-by-step explanation:

Specialty Manufacturing gets 29% of its O-rings from Little Rock Plastics and the rest of its O-rings from Galshus and Sons. Historically 4% of the O-rings it gets from Little Rock Plastics are defective and 10% of the O-rings it gets from Galshus and Sons are defective. An O-ring is found to be defective, what is the probability the O-ring came from Galshus and Sons?

Answers

Answer:

The probability that the O-ring came from Galshus and Sons given that it is defective is 0.359.

Step-by-step explanation:

Probability of getting O-ring from Little Rock Plastics = 0.29

Probability of getting O-ring from Galshus and Sons = 0.71

Probability of getting Defective Rings from Little Rock Plastics = 0.04

Probability of getting Defective Rings from Galshus and Sons = 0.10

Denoting Little Rock Plastics as LRP, Galshus and Sons as GS and Defective as D, we can write:

P(LRP) = 0.29

P(GS) = 0.71

P(D ∩ LRP) = 0.04

P(D ∩ GS) = 0.10

We are given that an O-ring is found to be defective and we need to find the probability that it came from Galshus and Sons so we will use the conditional probability formula for calculating the probability that the O-ring came from Galshus and Sons given that it is defective.

P(GS|D) = P(D ∩ GS)/P(D)

We need to compute P(D) first. So,

P(D) = P(D|GS) + P(D|LRP)

= P(D∩GS)/P(GS) + P(D∩LRP)/P(LRP)

= 0.10/ 0.71 + 0.04/0.29

= 0.1408 + 0.1379

P(D) = 0.2787

P(GS|D) = P(D ∩ GS)/P(D)

= 0.10/0.2787

= 0.3587

P(GS|D) = 0.359

Final answer:

Using Bayes' theorem, the probability that a defective O-ring came from Galshus and Sons is approximately 0.802 or 80.2%

Explanation:

To find the answer to your question, we need to use Bayes' theorem. This theorem refers to the probability of an event, based on prior knowledge of conditions that might be related to the event. First, let us identify the following:
Probability of choosing an O-ring from Little Rock Plastics (L), P(L) = 0.29
Probability of choosing an O-ring from Galshus and Sons (G), P(G) = 1 - P(L) = 0.71
Probability that an O-ring from Little Rock is defective, P(D|L) = 0.04
Probability that an O-ring from Galshus and Sons is defective, P(D|G) = 0.10

By Bayes' theorem, the probability that a defective O-ring came from Galshus and Sons is given by: P(G|D) = [P(G) * P(D|G)] / [P(L) * P(D|L) + P(G) * P(D|G)]

Upon substitution, P(G|D) = [0.71 * 0.10] / [0.29 * 0.04 + 0.71 * 0.10]. This equates to approximately 0.802, or 80.2%, meaning there is a 80.2% chance that the defective O-ring came from Galshus and Sons.

Learn more about Bayes' theorem here:

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I need some help real quick