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3 years ago

5

Please tell me how to solve this

1 answer:

Furkat [3]3 years ago

3 0

Answer:

c should be the right answer

Step-by-step explanation:

(if not, I'm sorry!!)

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Victor got 24 out of 30 correct on his math test. What percent did Victor get correct?

Snowcat [4.5K]

Answer:

$\frac{24}{30}$ x 100 = 80%

Step-by-step explanation:

8 0

3 years ago

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

Converts 100 inches per minute to feet per minute?

Rudiy27

8 1/3 feet per minute.

Hope it helps :)

5 0

4 years ago

Read 2 more answers

5-3y=9 <br> Solve for x<br> I don’t get it helllp

Grace [21]

Answer:

-4/3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

5 0

4 years ago

Read 2 more answers

2.) Fill in the blank.

Montano1993 [528]

Answer:

E.) 1

Step-by-step explanation:

Firstly we will solve for L.H.S.

L.H.S. = $Csc^2\theta$

Since we know that $Csc^2\theta$ is the inverse of $Sin^2\theta$ .

So we can say that;

$csc^2\theta=\frac{1}{sin^2\theta}$

Now For R.H.S.

$Cot^2\theta+1$

Since we can rewrite $cot^2\theta$ as $\frac{cos^2\theta}{sin^2\theta}$ .

Now we can say that the R.H.S. is;

$\frac{cos^2\theta}{sin^2\theta}+1$

Now we add the fraction and get;

$\frac{cos^2\theta+sin^2\theta}{sin^2\theta}$

Now according to trigonometric identity;

$cos^2\theta+sin^2\theta=1$

So, $\frac{cos^2\theta+sin^2\theta}{sin^2\theta}=\frac{1}{sin^2\theta}$

Here,

$csc^2\theta=\frac{1}{sin^2\theta}$ and $Cot^2\theta+1$ = $\frac{1}{sin^2\theta}$ <em> </em>

L.H.S. = R.H.S.

Hence $csc^2\theta=cot^2\theta+1$

4 0

3 years ago