Answer:
0.11711612445;
0.99376780489;
2.4494897
Step-by-step explanation:
Given that :
Arrival rate = 6 per hour
Mean Arrival during 90 minute period :
60 min = 6
90 min = (6 * 90) / 60 = 9
λ = 9
Using poisson :
P(x =x) = (e^-λ * λ^x) / x!
1) Exactly 7
P( x = 7) = (e^-9 * 9^7) / 7!
= 590.26526724266 / 5040
= 0.11711612445
Atleast 3:
P(x ≥ 3)
P(x ≥ 3) = 1 - P(x < 3)
P(x < 3) = p(x =0) + p(x = 1) + p(x = 2)
P(x = 0) = (e^-9 * 9^0) / 0! = 0.0001234098
P(x = 1) = (e^-9 * 9^1) / 1! = 0.00111068824
P(x = 2) = e^-9 * 9^2) / 2! = 0.00499809707
1 - P(x < 3) =
1 - (0.0001234098 + 0.00111068824 + 0.00499809707)
1 - 0.00623219511
= 0.99376780489
B.) mean and standard deviation of the number of patients arriving at the hospital accident and emergency department in an hour?
Mean = arrival per hour = λ = 6
Standard deviation = √λ = √6
Standard deviation = 2.4494897
The probability that, during any 90-minute period, the number of patients arriving at the hospital accident and emergency department is exactly 7 is 0.11711612445 and the probability for at least 3 is 0.99376780489. The mean is 6 and the standard deviation is 2.4494897.
Given :
Patients arrive at a hospital accident and emergency department at random follow a Poisson distribution at a rate of 6 per hour.
Accprding to the poisson distribution:
[tex]\rm P(x=x)=\dfrac{(e^{-\lambda} \times \lambda^x )}{x!}[/tex]
a) The probability that, during any 90-minute period, the number of patients arriving at the hospital accident and emergency department is:
First, determine the value of [tex]\lambda[/tex]:
[tex]\lambda = \dfrac{6\times 90}{60} = 9[/tex]
(i) At (x = 7) the probability is given by:
[tex]\rm P(x=7)=\dfrac{(e^{-9} \times 9^7 )}{7!}[/tex]
Simplify the above expression.
P(x = 7) = 0.11711612445
(ii) At (x [tex]\geq[/tex] 3) the probability is given by:
[tex]\rm P(x\geq 3)=1-P(x<3)[/tex]
[tex]\rm P(x\geq 3)=1-P(x=2)-P(x=1)-P(x=0)[/tex]
[tex]\rm P(x=2)=\dfrac{(e^{-9} \times 9^2 )}{2!}=0.00499809707[/tex]
[tex]\rm P(x=1)=\dfrac{(e^{-9} \times 9^1 )}{1!}= 0.00111068824[/tex]
[tex]\rm P(x=0)=\dfrac{(e^{-9} \times 9^0 )}{0!}= 0.0001234098[/tex]
So, the probability at (x [tex]\geq[/tex] 3) is given by:
[tex]\rm P(x\geq 3)=1-0.0001234098 - 0.00111068824 - 0.00499809707[/tex]
[tex]\rm P(x\geq 3)=1 - 0.00623219511[/tex]
[tex]\rm P(x\geq 3)= 0.99376780489[/tex]
b) The mean and standard deviation of the number of patients arriving at the hospital accident and emergency department in an hour are given by:
[tex]\rm Mean = \lambda = 6\\\\[/tex]
[tex]\rm Standard\; Deviation=\sqrt{\lambda }= \sqrt{6} = 2.4494897[/tex]
For more information, refer to the link given below:
https://brainly.com/question/17716064
Which graph best represents a line with a slope of
?
Answer:
A. y = -2/3 + 3
Step-by-step explanation:
the line intercept the y axis at +3
and the slope is: -2/3
- i used coordinates (3,1) and (6,-1)
Answer:
y = [tex]\frac{-2}{3}x + 3[/tex]
Step-by-step explanation:
Take any two points
(x₁, y₁) = ( 3 , 1 ) & (x₂ , y₂) = (6 , -1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{-1-1}{6-3}\\\\=\frac{-2}{3}[/tex]
m = (-2/3) & (x₁, y₁) = ( 3 , 1 )
y - y₁ = m(x - x₁)
y - 1 = [tex]\frac{-2}{3}(x - 3)[/tex]
y - 1 = [tex]\frac{-2}{3}x - 3 *\frac{-2}{3}[/tex]
y - 1 = [tex]\frac{-2}{3}x + 2[/tex]
y = [tex]\frac{-2}{3}x + 2 + 1[/tex]
y =[tex]\frac{-2}{3}x[/tex] + 3
A 14 inch pizza is cut into 8 slices. What is the area of each slice?(sector area)
Answer:
HOW????!!!
Step-by-step explanation:
In the first 1/3 hour of a snow storm, 1/12 of an inch or snow fell. If the snow continues to fall at the same rate, how many inches of snow will fall in 2 hours?
Answer:
6/12 snow
Step-by-step explanation:
Complete the coordinate proof of the theorem. Given: A B C D is a rectangle. Prove: The diagonals of A B C D are congruent.
Art: A rectangle is graphed on a coordinate plane. The horizontal x-axis and vertical y-axis are solid. The vertex labeled as A lies on begin ordered pair 0 comma 0 end ordered pair. The vertex labeled as B lies on begin ordered pair a comma 0 end ordered pair. The vertex labeled as D lies on begin ordered pair 0 comma b end ordered pair. The vertex C is unlabeled. Diagonals A C and B D are drawn by dotted lines.
The coordinates of rectangle ABCD are A(0, 0), B(a, 0), C( , ), and D(0, b). The length of AC⎯⎯⎯⎯⎯ is equal to . The length of BD⎯⎯⎯⎯⎯ is equal to . The diagonals of the rectangle have the same length. Therefore, AC⎯⎯⎯⎯⎯ is congruent to BD⎯⎯⎯⎯⎯.
Step-by-step explanation:
Given coordinates of the rectangle ABCD:
A(0, 0), B(a, 0), C(x, y), D(0, b)Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
AB = a - 0 = a, CD = aAD = b - 0 = b, BC = bSo the coordinates of C are:
x = a, y = bNow the diagonals:
AC = √(a-0)² + (b-0)² = √a²+b²BD =√(0-a)² + (b -0)² = √a² + b²Since AC = BD, we can state they are congruent
Using the given sets of points, identify slope (m), y-intercept (b), and write the equation. (0, 4) and (-1, -1)
Answer:
y = 5x + 4
Step-by-step explanation:
Its a given that the y intercept is 4 because on that point x = 0
B= 4
now you solve for your slope using y - y' / x - x'
when you plug in the numbers you get -1 - 4 / -1 - 0 which simplfies to -5 / -1 which simplifies just to 5, so we know the slope is = 5
now we just plug In and the base equation is y = mx + b.
round 427,266 to the nearest ten thousand
Answer:
430,000
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
Evaluate-5X 6 =
(Need help)
Answer:
x=7
Step-by-step explanation:
i think
Angle 6 and angle 7 are related by
Answer:the answer is 5 and 8 i guess
Step-by-step explanation: For example, angles 1 and 2 are both facing in the same direction, to the upper right. Such angles are called corresponding angles. Similarly we have angles 3 and 6, angles 4 and 7, and angles 8 and 5 as corresponding angles.
The ratio of Monarch butterflies to Queen butterflies at a butterfly farm was 9:7. If there are no additional butterflies at the farm, what is the ratio of Queen butterflies to the total number of butterflies at the farm? (5 points)
9:16
16:9
16:7
7:16
Answer:
7:16 is your answer :) hope it helps :)
Step-by-step explanation:
Please help will give you 20 points :)
Answer:
the value is 2133 hope (doesnt) helps
Step-by-step explanation:
Population density is a measure of how crowded an area is. The population density of Australia is approximately 7.6 people per square mile. If Bangladesh has 2,949.7 more people per square mile than Australia, what is the population density of Bangladesh?
2942.10 people per square mile
2957.30 people per square mile
3025.70 people per square mile
3709.70 people per square mile
Answer:
B
Step-by-step explanation:
Answer:
B) 2957.30 people per square mile
I don't need brainly btw
Michaela rode her bike on 14 2/3 mile trail. She stopped every 3 1/5 miles for a drink of water . Issac and Jake estimated how many times Michaela stopped.
Answer/Step-by-step explanation:
The rail = [tex] 14\frac{2}{3} miles [/tex]
She stops after every [tex] 3\frac{1}{5}miles [/tex] for a drink.
The number of times she stopped for a drink = [tex] \frac{14\frac{2}{3}}{3\frac{1}{5}} [/tex]
Change the fractions to improper fractions
[tex] \frac{\frac{44}{3}}{\frac{16}{5}} [/tex]
Change the division operation to multiplication, and then flip the fraction on your right upside down.
[tex] \frac{44}{3} \times \frac{5}{16} [/tex]
[tex] \frac{44 \times 5}{3 \times 16} [/tex]
[tex] \frac{220}{48} = 4.58 [/tex]
If we approximate this to the nearest whole number, we would have an estimate of 5.
✅Therefore, we can conclude that Michaela stopped 5 times.
The estimate given by Issac and Jake is omitted in the question. However, the person who got an estimate of 5 is the person who made a better estimate.
Write an equation of a line in slope intercept form that is parallel to y = -3x+9 and passes through the point (-2,-5)
Answer:
hi, bye
Step-by-step explanation:
Thx for the free points! ;)
Michelangelo buys a computer for $400. He is charged a 6% tax.
How much is just the tax?
How much is the total?
pls show work
Answer:
The tax is $24, so the total is 424
Step-by-step explanation:
6%= 0.06
0.06*400=24
24+400=424
The graph of the function f is shown, f(5)=
Answer: -1 and 5
Step-by-step explanation:
You see you know in f(x) that become f(5) that means x=5 so in the graph you have to find the line of the x ( it is written) and then just see where the the curve is “ cutting” the graduation 5 of the line of the x . Sorry if you don’t understand, have an amazing rest of you day :)
how many tens should be added to 56 to get 506
Answer:
Step-by-step explanation:
56+ ? = 506
? = 506 - 56
506 - 56
= 450
Answer 450
or 45 tens
45 tens must be added to get 506
What is Place Value?In math, every digit in a number has a place value. Place value can be defined as the value represented by a digit in a number based on its position in the number. For example, the place value of 7 in 3,743 is 7 hundred or 700. However, the place value of 7 in 7,432 is 7 thousand or 7,000.
Given here: The number 56
To convert it to 506 we must add 506-56=450
∴ we must 45×10 to 56 to convert it to 506
Hence, 45 tens must be added to get 506
Learn more about the place value here:
https://brainly.com/question/27734142
#SPJ2
someone please help me with this
Answer:
The answer is 42.
Step-by-step explanation:
5n - 13 = 42
5n = 42 + 13
5n = 55
n = 11
explanation about the solution = The angles formed by the segments measuring 42 and 5n - 13 are equal in measure which means the segments are as well.
Landon was taking a math test he finished 1/2 of the test in 357 hour how much of the test will he have done in one hour if he keeps the same pace
Answer: 1/714
Step-by-step explanation: Think about it
did you mean 3 hours and 57 minutes ?
Can someone help please
Answer:
length of AC=32
Step-by-step explanation:
find the slope of the line that contains the points (-6, 4) and (2, -8)
if you answer correctly u get brainliest
Answer:
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]m=\frac{rise}{run}=\frac{-8-4}{2+6}=\frac{-12}{8}=\boxed{-\frac{3}{2}}[/tex]
Hope this helps.
What is the median for 6.0 6.0 7.0 7.0 8.0 9.0
The word median means middle.
The median is 7.0 because it’s in the middle of the following numbers.
Need help
Giving brainliest
Answer:
y=1/5x + 8/5
Step-by-step explanation:
First you take the reciprocal of -5 which is -1/5.
Then you substitute the values to find the b.
1= -1/5(-3) +b
1=3/5+b
Add 3/5 to both sides
1+3/5= 5/5+3/5
b=8/5
The GCF of 24 and 40 is _______. Numerical Answers Expected! Answer for Blank 1:
the GCF of 24 and 40 is 8
if there's anything else you need to know, let me know :)
Answer: its 8 hehe
Step-by-step explanation:
Is this relation a function?
(2, -3), (-4, 2), (6,2), (-5, -3), (-3,0)
Answer:
no it is not because two different input values have the same output
Step-by-step explanation:
Answer:
Yes it is a function... Because we have output for each input
Look at the Employee Time Card for
Gwen Ramirez. If Gwen's hourly wage is
$12.00 how much money did she make on
Tuesday?
$84.00
$64.00
$84.50
$96.00
in the following diagram BC is parallel to DE. What is the mesure of x?
Answer:
Step-by-step explanation:
ppppppppppppppppppppppppppjjjjjyoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
14 sandwiches and 3 drinks cost €33.75. 6 sandwiches and 17 drinks cost €26.25 . How much cost 1 sandwich and 1 drink
Ben is an Accounts Payable clerk and has specific instructions from the controller to print 4 reports twice a day on day 1, then 3 of those reports twice a day on days 2 through 6, then on the final day,1 of those reports twice a day. How many reports will Ben print in 7 days?
Answer:
8 +6 + 6 + 6 + 6 + 6 +2 = 40
Step-by-step explanation:
How many decimal places will there be in the product shown below? 23.58 x 14.2 = ?
Answer:
3 decimal places
Explanation:
334.836
Now count:
334.8 3 6
1 2 3
Have a beautiful day. And stay safe.
Who is in NMUSD school district
Answer:
not me
Step-by-step explanation:
not really me
why? cause i dont live there