Write an equation for the nth term of each geometric sequence: 1) 2,-6,18,… 2) 5,10,20,…
1 answer:
You might be interested in
For this case we must factor the following expression:
We take the sign "-" as a common factor of the expression, taking into account that:
To factor, we must find two numbers that, when multiplied, result in -48 and when added, result in -2. These numbers are -8 and +6.
Then, we factor the expression within the parenthesis as:
Answer:
Title:
<h2>See the explanation.</h2>Step-by-step explanation:
The coin is to be flipped 2000 times.
The probability of getting a head is 0.3.
It is given that, we need to get a head in between 575 and 618 times.
If we will get 575 heads then we will get (2000 - 575) tails.
Hence, if we take that we want to get n times head, then we will get (2000 - n) times tail.
The probability of not getting a head is (1 - 0.3) = 0.7.
The probability of getting n times head is .
The required probability is ∑ , where
.
Answer:
5. B) 55
6. D) 15
Step-by-step explanation:
5.
One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.
90 + x + 35 = 180
Simplify,
125 + x = 180
Inverse operations,
x = 55
6.
This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,
Where (a) and (b) are the legs or sides adjacent to the right triangle, and (c) is the hypotenuse or side opposite the right angle.
Simplify,
Inverse operations,
c = 15