Can Anyone help me with this question?!

Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which of the statements below

Juli2301 [7.4K]

A. The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount.

4 0

3 years ago

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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

13.) The leading scorer in your high school's hockey league finished the season with an average of 4 goals per game for 15 games

Novosadov [1.4K]

Answer:

5 goals

Step-by-step explanation:

4 goals per game for 15 games means a total of 60 goals in that season. You have 4 goals per game for 14 games meaning you have a total of 56 goals. To <u>overtake</u> the leading team you must score a minimum of 5 goals to become the leading scorer. (Double-check to make sure I am correct)

3 0

2 years ago

Simplify and give the answer in standard form: (3/8+5/12) ÷ (8/-15 x 27/16)

lina2011 [118]

Jakdjskfkskajdiwneosj….. -95/288

4 0

2 years ago

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Can you please help me?

irina [24]

So for this you just want to divide 4/5 by 9/10 because it is the opposite of the equation.

9/10 / 4/5

To divide fractions, you just multiply and reverse the second fraction.

For example:

9/10 * 5/4

Now you can just normally multiply.

45/40

Or, simplified,

9/8

(Or 1 1/8)

6 0

2 years ago