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
Valentin [98]
3 years ago
12

A line contains the points (−26, −37)(−26, −37) and (−32, −61)(−32, −61) . What is the slope of the line in simplified form?

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0
Slope = (y2 - y1)/(x2 - x1) = (-61 - (-37))/(-32 - (-26)) = (-61 + 37)/(-32 + 26) = -24/-6 = 4

Therefore, slope = 4
You might be interested in
12 yd<br> 4 yd<br> 7 yd<br> 7yd<br> 4yd<br> 4 yd<br> 4 yd<br> 4 yd<br> what is the area
N76 [4]
I think the answer to it is 2,688
6 0
3 years ago
Data collected at Toronto Pearson International Airport suggests that an exponential distribution with mean value 2725hours is a
Ivan

Answer:

a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

P(X >2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48

At most 3 hours?

P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667

b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

P(X > 2.725 + 2*5.540) = P(X>13.62) = 1-P(X

What is the probability that it is less than the mean value by more than one standard deviation?

P(X

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}

The cumulative distribution for this function is given by:

F(X) = 1- e^{-\lambda x}, x\ geq 0

We know the value for the mean on this case we have that :

mean = \frac{1}{\lambda}

\lambda = \frac{1}{Mean}= \frac{1}{2.725}=0.367

Solution to the problem

Part a

What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

P(X >2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48

At most 3 hours?

P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667

Part b

What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

The variance for the esponential distribution is given by: Var(X) =\frac{1}{\lambda^2}

And the deviation would be:

Sd(X) = \frac{1}{\lambda}= \frac{1}{0.367}= 2.725

And the mean is given by Mean = 2.725

Two deviations correspond to 5.540, so we want this probability:

P(X > 2.725 + 2*5.540) = P(X>13.62) = 1-P(X

What is the probability that it is less than the mean value by more than one standard deviation?

For this case we want this probablity:

P(X

8 0
3 years ago
QUICK SOLVE 2y=x+6 show work !!!
marusya05 [52]

Answer:

y=0.5x+3

Step-by-step explanation:

Divide both sides by 2 which will give you y=0.5x+3.

8 0
3 years ago
Read 2 more answers
Find the distance from albertos horseshoe to Rebecca's horseshoe explain
Kruka [31]

Answer:

Wheres the picture?

Step-by-step explanation:

7 0
3 years ago
Chen completed the division problem below.
jolli1 [7]

Answer:

WHAT? ok ok so

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 4) Cindy works part-time and earns $5.75 an hour. One week she worked
    7·2 answers
  • Solve the linear system using substitution
    5·1 answer
  • Meg inline skated for 7/10 mile. Write this distance as a decimal.
    15·2 answers
  • Can you guys help me with this simple math problem ?
    8·1 answer
  • What is the common ratio between us terms in the sequence? 1.5,1.2,0.96,0.768
    9·1 answer
  • Can someone pls help me i really need help like asap
    5·2 answers
  • Write an equation of the line that passes through (−3,7) and is perpendicular to the line y=−2x−5.
    13·2 answers
  • Question 4<br> 3 mi =<br> How many feet
    9·1 answer
  • How do you multiply fractions​
    12·2 answers
  • Onary
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!