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3 years ago

I need the questions

Mathematics

1 answer:

andrey2020 [161]3 years ago

5 0

Answer:

Step-by-step explanation:

2/3 = 0.67

1/2 = 0.5

2/5 = 0.4

Greatest to least would be B

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The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

mamaluj [8]

Answer:

a) $E(A)=\frac{0+50}{2}=25 min$

$Sd(A) =\sqrt{208.3333 min^2}=14.43 min$

b) $P(A>25) = 1-P(A\leq 25)=1-\frac{25-0}{50-0}= 1-0.5 = 0.5$

Step-by-step explanation:

Part a

Let A the random variable that represent "The arrival time (minutes) for a daily flight from Boston to New York ". And we know that the distribution of A is given by:

$A\sim Uniform(a=0 ,b=50)$

We select our starting point a=0 representing 9:05 AM and the amount of minutes between 9:05 am to 9:55 am are 50 ans for this reason b =50

For ths uniform distribution the expected value is given by $E(X) =\frac{a+b}{2}$ where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

$E(A)=\frac{0+50}{2}=25 min$

And the variance is given by:

$Var(A)= \frac{(b-a)^2}{12}=\frac{(50-0)^2}{12}=208.3333 min^2$

And the standard deviation by definition is just the square root of the variance:

$Sd(A) =\sqrt{208.3333 min^2}=14.43 min$

Part b

If we convert 9:30 AM to our scale we know that we have 25 minutes between 9:05 AM and 9:30 AM.

For this case we want to find this probability: $P(A>25)$

And we can find this probability using the complement rule like this:

$P(A>25) = 1-P(A\leq 25)$

And we can use the cumulative distribution function given by:

$F(A) = \frac{A-a}{b-a}$

And we got:

$P(A>25) = 1-P(A\leq 25)=1-\frac{25-0}{50-0}= 1-0.5 = 0.5$

5 0

3 years ago

How many km are equal to 1.55x10^4

kicyunya [14]

Answer:

$15.5$ or $x=1.55\times 10$ kilometers

Step-by-step explanation:

We want to find how many kilometers are equal to $1.55\times 10^4$ meters.

Recall that: $1000m =1km$

We can rewrite $1.55\times 10^4$ as $15500$

Let $15500m=x\:km$

Using proportion, $15500$ should be more than 1km.

If more, then less divides:

$\implies x=\frac{15500}{1000} km$

$\implies x=15.5km$

Therefore $1.55\times 10^4$ meters is equal to $15.5$ or $x=1.55\times 10$ kilometers

4 0

3 years ago

Luke and Matthew ran a lemonade stand on Saturday. They agreed that Matthew would get 60%, percent of the profit because the lem

Elena-2011 [213]

Mathew would get $15 (60%) and luke would get $10 (40%)

4 0

4 years ago

[PHOTO] Please help me need this done by tomorrow thank you!

Angelina_Jolie [31]

9514 1404 393

Answer:

x = 28

Step-by-step explanation:

The marked angles are supplementary, so you have ...

(3x +10) +(3x +2) = 180

6x +12 = 180 . . . . . . . . . . simplify

x +2 = 30 . . . . . . . . divide by 6

x = 28 . . . . . . . subtract 2

<em>Additional comment</em>

You might generally solve a 2-step linear equation by doing the subtraction first, then the division by the coefficient of the variable. If all of the numbers are a multiple of that coefficient, I like to do the division as soon as I can. That way, the numbers I'm working with are as small as possible, and once I isolate the variable term, I have the answer.

The obtuse angle (on the left) is 94°; the acute angle is 86°.

7 0

3 years ago

How do you get the perimeter of a 40 foot circle?

Alexandra [31]

7 0

3 years ago

I need the questions ​

I need the questions