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3 years ago

I just want the answers so

Mathematics

1 answer:

Svetlanka [38]3 years ago

5 0

1) 25 mins

2) 1 hour 20 mins

3.1) 5:30

3.2) 17:30

4.1) 1 hour 20 mins

4.2) 4:40

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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

Write 0.0000004954 in scientific notation.

SCORPION-xisa [38]

By scientific notation I am assuming you mean standard form, as that is used primarily in scientific calculations. The answer in standard form would be
$4.954 \times {10}^{ - 7}$
I hope this helps!

4 0

3 years ago

Read 2 more answers

Solve: x/3+1/4 =1/3 . Explain your work.

mojhsa [17]

Steps to solve:

x/3 + 1/4 = 1/3

~Subtract 1/4 to both sides

x/3 = 1/12

~Multiply 3 to both sides

x = 1/4

Best of Luck!

5 0

2 years ago

Combine the like terms to create an equivalent expression. 7 x − x 7x−x

bija089 [108]

Answer:

the answer is 6x.

Step-by-step explanation:

3 0

2 years ago

2.) If ZA = (20 – 2m)º and ZD = (m – 130°, what is the value of m?

vivado [14]

Answer:

m = 50

Step-by-step explanation:

∠ D and ∠ A are vertically opposite angles and are congruent , then

m - 130 = 20 - 2m ( add 2m to both sides )

3m - 130 = 20 ( add 130 to both sides )

3m = 150 ( divide both sides by 3 )

m = 50

3 0

2 years ago

Read 2 more answers