Answer:
It is not a binomial experiment because the random variable associated with this experiment is a Geometric random variable.
Step-by-step explanation:
For an experiment to be a binomial experiment the variable associated with the experiment has to be a binomial random variable.
A binomial random variable should satisfy the following conditions:
- There should be a fixed known no. of trials
- There should be only 2 outcomes of a trial i.e either success or failure
- Trial results should be independent
- Same probability for each trial success or failure
Now lets see what is the random variable in this experiment:
The Random variable would be X = no. of selections until a defective one is found.
X does not satisfy the first condition for a binomial variable itself as the no. of trials is not fixed and is unknown.
Hence X is not a binomial random variable.
Rather X is a Geometric random variable. If we consider finding a defective one as a success then the variable is defined as the no. of trials until a success is achieved. But a binomial random variable is defined by no. of successes in a fixed no. of trials.
Hence it is not a binomial experiment .
Answer:
56
Step-by-step explanation:
Let N be the total number of spins.
Probability of A on Red and B on Red = 0.5 x 0 .6 = 0.3 (top branch of tree)
Therefore with N spins, the estimated number of times spinner A and spinner B land on red is 0.3N and we are given this as 84
So 0.3N = 84
N = 84/0/3 = 280
The probability of spinner A on blue and spinner B on blue is 0.5 x 0.4 = 0.2 (lowest branch of tree)
For 280 spins, the estimated number of times that both spinners land on blue is given by 0.2 x 280 = 56
Answer:
**
**The picture is not accurate for this problem.
Step-by-step explanation:
I would use Pythagorean Theorem to setup two equations since there are two triangles with no angle information.
Let
where
is equal to the first partition of
(reading from left to right) and
is equal to the second partition of
(reading from left to right).
We have the following system to solve:


I will use elimination to first solve for
.
Subtract the equations:

Factor both sides using
:

Simplify inside the
.

Divide both sides by 9:

Divide both sides by 11:

Simplify both sides:

Add 99 on both sides:

Divide both sides by 2:

Now go to either equation we had in the beginning to find
.
with 


Answer:
see the explanation
Step-by-step explanation:
we have

we have that

Convert to scientific notation

substitute

Remember that
To multiply two numbers in scientific notation, multiply their coefficients and add their exponents

Round the number 4.0875 two decimal places
so

Answer:
2/3
Step-by-step explanation:
Simplify the numerator
(2x) ^3 = 8 x^3
8x^3 * 3x = 24 x^4
Simplify the denominator
(6x^2) ^2 = 36 x^4
Simplify the fraction
24x^4/ 36 x^4 =
24/36 = 2/3
x^4/x^4 =1
The fraction is 2/3 when x does not equal 0