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1 year ago

Do the quantities combine?

Mathematics

1 answer:

Verdich [7]1 year ago

4 0

Answer:

Step-by-step explanation:

Widrawal is - 30

Deposit is +30

-30+30 = 0

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A particular Spotify playlist contains 105 songs, of which 10 are by the Beatles. Suppose the shuffle feature is used to play th

katovenus [111]

Answer: The required probability is 0.3296.

Step-by-step explanation:

Since we have given that

Number of songs = 105

Number of songs are by the Beatles = 10

So, Number of songs are not by the Beatles = 105-10=95

So, the probability that the first Beatles song heard is the fifth song played is given by

$\dfrac{^{95}C_4\times ^{10}C_1}{^{105}C_5}\\\\=0.3296$

Hence, the required probability is 0.3296.

8 0

3 years ago

A piece of plywood was cut so it's length with 8 ft by 4 ft what is the area of the wood

Elena L [17]

The area of an object is found by multiplying the length by the width, so to solve your problem, multiply 8*4 to get 32.

8 0

3 years ago

A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a

netineya [11]

Answer:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=19, p=0.3)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X \geq 5)$

And we can use the complement rule:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

4 0

3 years ago

A small company has 20,000 shares. Anastasia owns 400 of these shares. The company decides to split its shares. What is Anastasi

Pani-rosa [81]

The answer is the B one or 2%.

8 0

3 years ago

What is the number three and eight tenths as a decimal.

natali 33 [55]

Answer:

3.8

Step-by-step explanation:

3 8/10 can be written as 3.xx because all we have to do is 8 divided by 10 which equals .8 so 3+.8=3.8

7 0

2 years ago