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aliina [53]
3 years ago
10

Find the 4th term in the sequence with the following definition: Please help me!!

Mathematics
1 answer:
tigry1 [53]3 years ago
8 0

Answer:

256

Step-by-step explanation:

Using the recursive formula and a₁ = 2, then

a₂ = a₁² = 2² = 4

a₃ = a₂² = 4² = 16

a₄ = a₃² = 16² = 256

Thus the 4 th term is 256

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Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer.
stiv31 [10]

Answer:

The probability experiment represents a binomial experiment

Step-by-step explanation:

On a Binomial experiment we have the following:

  • There are n identical experiment
  • Every experiment has 2 possibilities: success or fail
  • There is a probability p of success and (1-p) of fail
  • Every experiment is independent

Therefore, the probability experiment represents a binomial experiment because we have:

  • The investor purchases 3 stocks listed on a stock exchange
  • Every stock has 2 possibilities: increase in value over the course of a year or doesn't increase in value over the course of a year
  • There is a probability of 0.49 that the stock increase in value over the course of a year and a probability of (1-0.49) that the stock doesn't increase in value over the course of a year
  • The probability that every stock listed on this exchange increase in value over the course of a year is independent.

So, the probability that x stocks from the 3 that the investor purchases increase in value over the course of a year is equal to:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}  \\P(x)=\frac{3!}{x!(3-x)!}*0.49^{x}*(1-0.49)^{3-x}

Where n is 3, and p is 0.49

6 0
3 years ago
How to solve 6b^-3. I need to show work
ELEN [110]
6b^-3

1 result(s) found

b=18





Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

1/6*b-(3)=0

Step by step solution :

STEP
1
:

1
Simplify —
6
Equation at the end of step
1
:

1
(— • b) - 3 = 0
6
STEP
2
:
Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 6 as the denominator :

3 3 • 6
3 = — = —————
1 6
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b - (3 • 6) b - 18
——————————— = ——————
6 6
Equation at the end of step
2
:

b - 18
—————— = 0
6
STEP
3
:
When a fraction equals zero

3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

b-18
———— • 6 = 0 • 6
6
Now, on the left hand side, the 6 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
b-18 = 0

Solving a Single Variable Equation:

3.2 Solve : b-18 = 0

Add 18 to both sides of the equation :
b = 18

One solution was found :
b = 18
3 0
3 years ago
ASAP <br><br>options: <br>left<br>right<br>up <br> down​
Alenkinab [10]
Right 6 and down 5 hope this helps you out
5 0
3 years ago
If Bob has three kids and the product of their ages is 72 and his youngest sons name is Justice how old are his three kids
avanturin [10]
I think a hint is that his youngest kids name is Justice which has 7 letters in it so he is 7 yrs old... That could be a hint but I'm not sure.
8 0
3 years ago
Read 2 more answers
Is the following sequence geometric? If so, what is the common ratio?<br> 4, 2, 1, 1/2, 1/4<br> ...
NISA [10]

Answer:

Yes

Step-by-step explanation:

Geometric sequence is by multiplication, the sequence is constantly being multiplied by 1/2. So the ration would be 1/2.

3 0
4 years ago
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