MATHEMATICS MIDDLE SCHOOL

What is the theoretical probability of a coin landing tails up?

Answers

Answer 1

Answer:

Answer:

The probability that a fair coin lands tail up is 1/2, which is equal to 0.5.

Step-by-step explanation:

There are two possible outcomes when a coin is flipped (saving for the case when the coin lands on its side.)

The coin lands head-up;
The coin lands tail-up.

If the coin is fair, the two outcomes should be equally likely. In that case, apply the following formula:

$\begin{aligned}&\text{Probability that the coin lands tail-up}\n =&\frac{\text{Number of outcomes that the coin lands tail-up}}{\text{Total Number of equally-likely possible outcomes}}\n=&(1)/(2) \n=& 0.5 \end{aligned}$ .

Credit for the phrasing of this probability formula goes to the Khan Academy article "Probability: the basics".

Answer 2

Answer:

Answer: 1:2

Step-by-step explanation:

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Insert 2 irrational numbers between 2/5 and 3/4

Answers

$(2)/(5) = 0.4$

$(3)/(4) = 0.75$

There are many irrational numbers between these two fractions.

Two of them are -

$0.40121121112...$

$0.40232232223...$

$(2)/(5)=0.4\n (3)/(4)=0.75\n$

$\boxed{\sqrt{(3)/(4)\pi}-1}\n \boxed{e-2}$

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.A triangle has 2 congruent sides. The angle between the 2 congruent sides is labeled x. The angles opposite of the 2 congruent sides each measure 65 degrees.

Find the measure of x in the triangle. Show all your work.

Answers

Answer:

Therefore,

Measure of x is 50°.

Step-by-step explanation:

Given:

Let name the Triangle as ΔABC,as shown in the Figure below ,such that

AB ≅ AC ..... triangle has 2 congruent sides

∠A = x .....angle between the 2 congruent sides is labeled x

∠B = ∠C = 65° .....angles opposite of the congruent sides

To Find:

measure of x = ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

$\angle A+\angle B+\angle C=180\°$

Substituting the values we get

$x+65 + 65 = 180\n\nx=180-130=50\°$

Therefore,

Measure of x is 50°.

you earn $3 an hour as a waitress. After working 3 hours, you earn $12, $5, and $7 in tips. How much money did you earn in total? Explain how you found your answer.

Answers

$33 Because if she works three hours and each hours she gets three dollars the that is 9 dollars plus 12 5 and 7 equals 33

Write 59 sixths as an improper fraction

Answers

59/6 is an improper fraction if you ment 6/59 than all you have to do is this:1.find the common denominator(how many times 6 goes into 592.next use the answer so if the answer was that 5 sixes went into 59 than the answer would be 5/6 (by the way 5/6 isn't the real answerIf my answer was helpful please follow me or click thank you

Well, you first multiply 59 by 6, so then it's 354. Now add 354/6 to 1/6, so the it is equal to 355/6.

How do you factor 3x^2+7x-6=0 and solve?

Answers

Do the factoring method
(3x-2)(x+3)
3x=2 X=-3
x=2/3

if we check
3x2+7x=6
3(2/3)2+7(2/3)=6
4/3+14/3=6
18/3=6
The x=2/3 is correct now lets see the x=-3
3x2+7x=6
3(-3)2+7(-3)=6
3(9)-21=6
27-21=6
6=6

so both x can be used in factoring

Answer: x2=-3

Step-by-step explanation:

Match the equation with the name of its form: