what is the common difference between succeseive terms in this sequence? 9 , 2.5 , -4 , -10.5 , -17 ....

stack of mail consists of 8 bills, 10 letters, and 6 advertisements. One piece of mail is drawn at random and put aside. Then a

kozerog [31]

INFORMATION:

We know that:

- stack of mail consists of 8 bills, 10 letters, and 6 advertisements.

- One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn.

And we must find P (both are letters)

STEP BY STEP EXPLANATION:

To find the probability, we need to know that we have two events. First, when one piece of mail is drawn at random and put aside and, second, when a second piece of mail is drawn.

These two events are dependent. If A and B are dependent events, P(A and B) = P(A) • P(B after A) where P(B after A) is the probability that B occurs after A has occurred.

So, first

- Probability of A (the first piece is letter)

$P(A)=\frac{favorable\text{ }cases}{total\text{ cases}}=\frac{10}{24}$

- Probability of B after A

Since A already occurred and one piece of the mail was drawn (a letter), now in total we would have 9 letter and 23 total pieces

$P(B\text{ after }A)=\frac{9}{23}$

Finally, replacing in the initial formula

$P(A\text{ and }B)=\frac{10}{24}\cdot\frac{9}{23}=\frac{90}{552}=0.1630$

Finally, the probability would be 0.1630

ANSWER:

P (both are letters) = 0.1630

8 0

1 year ago

Where in the bible is there an indication of the value of pi what was the approximate value?

Morgarella [4.7K]

The Bible, a book that is considered the perfect word of a perfect god tells us what the value of Pi is. Let's see verse 1 Kings 7:23
He also melted a sea of ten cubits from one side to the other, perfectly round; Its height was five cubits, and a cord of thirty cubits encircled it.

These are a list of specifications for the great temple of King Solomon, built about 950 BCE, and his interest here is that it gives a value of π = 3. If we divide 30 cubits between 10 cubits (which are the measures mentioned in written radical) gives us exactly 3.

We know that the length of the circumference is calculated l = 2 · π · r; Since 2 · r is the diameter, it can also be said that

circumference = diameter × π

If we go back to what the Bible says, the diameter is 5 meters and the circumference of 15:

circumference = diameter × π -> 15 = 5 × π

with which the value of π is 3.

This calculation of Pi is a bad approximation to the real value. The figure of 3 in the Bible compared with the real one which is 3.1416 ... indicates an error of about 6%.

7 0

3 years ago

6x^2+x-12 in factored form

pychu [463]

6x²+x-12

the first thing we need to do is find 2 numbers that add up to equal the middle term (1) but multiply together to get a product of -72 (-12*6)

two numbers that would fit this is 9 and -8
so now we placed 9x and -8x in place of the middle term

6x²+9x-8x-12

now we look for whats common between the first two numbers and divide them out

6x²+9x = 3x(2x+3)

now we do the same with the last two numbers

-8x-12 = -4(2x+3)

notice how the numbers in brackets are the same (2x+3)
we will keep (2x+3) and then combine the numbers on the outside

once we do that you should get an answer of

(3x-4)(2x+3)

hope this helped!

5 0

3 years ago

Henlo please help!?! Thanks!!<br> ASAP? :D

erik [133]

Answer:

6 feet

Step-by-step explanation:

Volume = w × h × l

120 = 4 × 5 × l

l = 120 / 20

l = 6 ft

4 0

3 years ago

Read 2 more answers

Pls help this is confusing :/

Aleksandr [31]

The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

<h3>What is a transformation?</h3>

A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.

<h3>The types of transformation.</h3>

In Geometry, there are different types of transformation and these include the following:

Dilation

Reflection

Rotation

Translation

Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:

$\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]$

Therefore, the image of triangle UVW would be given by this matrix:

$\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]$ $\left[\begin{array}{ccc}-3&8&6\\8&4&-8\end{array}\right]$

Image = $\left[\begin{array}{ccc}8&4&-8\\3&-8&-6\end{array}\right]$

Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

Read more on transformations here: brainly.com/question/12518192

#SPJ1

3 0

2 years ago