1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nimfa-mama [501]
3 years ago
12

Number of passengers who arrive at the platform in an amtrack train station for the 2 pm train on a saturday is a random variabl

e with a mean of 180 and a standard deviation of 25.
a.with what probability can we assert that there will be between 80 and 280 passengers?
b.with what probability can we assert that there will be between 130 and 230 passengers?
Mathematics
1 answer:
alexgriva [62]3 years ago
8 0
Assuming a normal distribution  we find the standardized z scores for  a:-

z1 = (80 - 180)  / 25  =  = -100/25  = -4
z2 =  (280-180) / 25  =  4
Required P( -4 < z < 4)  from the tables is  >99.9%

b
z1 = 130-180 / 25 =  -2
z2 =  230-180 / 25  = 2

from tables probability is 2* 0.4773  =  95.46 %
You might be interested in
Find - 2 2/6 + (5/6)
Bad White [126]

Answer:-3/2

Step-by-step explanation:

-2 2/6+5/6

-7/3 + 5/6

(2x-7+1x5) ➗ 6

(-14+5) ➗ 6

-9 ➗ 6

-9/6=-3/2

5 0
3 years ago
Which is the equation in the slope-intercept form of the line that contains points E &amp; F ?
sesenic [268]

Answer:

y = 4x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)

m = \frac{-4-4}{2-4} = \frac{-8}{-2} = 4 , then

y = 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 4), then

4 = 16 + c ⇒ c = 4 - 16 = - 12

y = 4x - 12 ← equation of line

3 0
3 years ago
Read 2 more answers
Jessica buys a lamp that costs $35 and a table that costs $75.00. If the tax rate is 10%, what will be the total cost of the lam
shepuryov [24]
Hello there!

75 + 35 = 110

110 x 10% = 0.1

110 x 0.1 = 11 ( the 11 is your tax )

75 + 35 = 110

110 + 11 = 121

$121 

Hope this helped!
3 0
3 years ago
Clara created a coordinate grid of her city. The bowling alley is located at (10, 12) and the skating rink is located at (-6, -4
yulyashka [42]

First we need to know the coordinates of the movie theater, we can do this applying the midpoint formula:

\begin{gathered} P(BA,SR)=(\frac{10-6}{2},\frac{12-4}{2})\text{ = (}\frac{4}{2},\frac{8}{2}) \\ \Rightarrow P(BA,SR)=(2,4) \end{gathered}

We have that the movie theater is located at (2,4). Now we use this coordinates to find the location of Clara's house using again the midpoint formula:

\begin{gathered} P(MT,SR)=(\frac{-6+2}{2},\frac{4-4}{2})=(-\frac{4}{2},0) \\ \Rightarrow P(MT,SR)=(-2,0) \end{gathered}

Therefore, Clara's house is located at (-2,0)

6 0
1 year ago
9.8j - 6 = 36<br> solve the equation, round to the nearest hundredth
Lady_Fox [76]

Answer:

j = 4.29

Step-by-step explanation:

9.8j - 6 = 36

     + 6    +6

9.8j = 42

9.8j/9.8 = 42/9.8

j = 4.29

3 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the following relations is a function? A. (5, 11), (-9, 2), (-1, 8), (-6, 11) B. (11, 5), (2, -9), (8, -1), (11, -6) C.
    8·1 answer
  • T with a remainder of zero. Which of the following statements must be true?
    11·2 answers
  • EJ has shown that a function, f(x) grows by 12% for every unit in the domain. What does this prove?
    7·2 answers
  • Plz answer all of it im putting 96
    8·1 answer
  • Solve the quadratic equation x2−5x=−20 by completing the square.
    8·1 answer
  • Write the equation of the line given the slope and the point that it passes through.
    6·1 answer
  • PLEASE SOMEONE HELP ASAP AND SHOW THE WORK
    9·1 answer
  • Find an equation of the hyperbola having foci at (-9,-4) and (7,-4) and vertices at (-6, -4) and (4.-4).​
    8·1 answer
  • Please help me with this question
    11·1 answer
  • Help :( explain the meaning of -500 in context to the problem,
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!