PLEASE HELPP ASAPP!!!

The scheduled arrival time for a daily flight from Boston to New York is 9:35 am. Historical data show that the arrival time fol

Lady_Fox [76]

Answer:

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean is:

$M = \frac{a+b}{2}$

The standard deviation is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

Arrival time of 9:18 am and a late arrival time of 9:41 am.

9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.

Mean:

$M = \frac{a+b}{2} = \frac{0+23}{2} = 11.5$

Standard deviation:

$S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(23 - 0)^{2}}{12}} = 6.64$

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

8 0

3 years ago

Help please I need 5 points total. i need 2 to left of vertex. i need vertex. i need 2 to right of vertex. Please, quickly, I am

zlopas [31]

We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;

${\quad \qquad \boxed{\bf{Vertex = \left(\dfrac{-b}{2a},\dfrac{-D}{4a}\right)}}}$

Where , D = b² - 4ac (Discriminant)

Now , On comparing the given equation with ax² + bx + c , we have

⇢⇢⇢ a = 1 , b = - 10 , c = 27

Now , Calculating D ;

${:\implies \quad \sf D=(-10)^{2}-4\times 1\times 27}$

${:\implies \quad \sf D=100-108}$

${:\implies \quad \bf \therefore \quad D=-8}$

Now , Calculating the vertex ;

${:\implies \quad \sf Vertex =\bigg\{\dfrac{-(-10)}{2\times 1},\dfrac{-(-8)}{4\times 1}\bigg\}}$

${:\implies \quad \sf Vertex = \left(\dfrac{10}{2},\dfrac{8}{2}\right)}$

${:\implies \quad \bf \therefore \quad Vertex = (5,2)}$

Hence , The vertex of the parabola is at (5,2)

Note :- As the Discriminant < 0 . So , the equation will have imaginary roots .

Refer to the attachment for the graph as well .

5 0

3 years ago

For his reading goal this nine weeks, Jeonhee wants to read 1,000 pages. The first week he read 10 pages per day. The second wee

zalisa [80]

Answer:

955

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

At a competition 24 of 40 members of a middle school band won a metal. What percentage of the members of the band won a medal

dalvyx [7]

Answer:

Step-by-step explanation:

24/40=60%

5 0

3 years ago

Read 2 more answers

How many terms are in the arithmetic sequence 7, 0, −7, . . . , −175?

Sav [38]

So hmmm 7, 0, -7.... what the dickens is going on? hmmm is really dropping each time by 7, so, 7-7, 0, and 0-7, -7 and so on.

so, the "common difference" is then -7, and our first term is 7, now, who's -175? let's check.

$\bf a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=-7\\
a_1=7\\
a_n=-175
\end{cases}
\\\\\\
-175=7+(n-1)(-7)\implies -175=7+7-7n
\\\\\\
7n=14+175\implies 7n=189\implies n=\cfrac{189}{7}\implies n=\stackrel{terms}{27}$

5 0

3 years ago