Answer:
a) 0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.
b) 0.762 = 76.2% probability that at least three people arrive during a particular hour
c) 2 people.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Poisson process with a rate parameter of four per hour.
This means that [tex]\mu = 4[/tex].
(a) What is the probability that exactly three arrivals occur during a particular hour?
This is P(X = 3). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 3) = \frac{e^{-4}*4^{3}}{(3)!} = 0.195[/tex]
0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.
(b) What is the probability that at least three people arrive during a particular hour?
Either less than three people arrive during a particular hour, or at least three does. The sum of the probabilities of these outcomes is 1. So
[tex]P(X < 3) + P(X \geq 3) = 1[/tex]
We want [tex]P(X \geq 3) = 1 - P(X < 3)[/tex], in which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-4}*4^{0}}{(0)!} = 0.018[/tex]
[tex]P(X = 1) = \frac{e^{-4}*4^{1}}{(1)!} = 0.073[/tex]
[tex]P(X = 2) = \frac{e^{-4}*4^{2}}{(2)!} = 0.147[/tex]
So
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.018 + 0.073 + 0.147 = 0.238[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.238 = 0.762[/tex]
0.762 = 76.2% probability that at least three people arrive during a particular hour.
c) How many people do you expect to arrive during a 30-min period?
One hour, 4 people
Half an hour = 30 min = 4/2 = 2 people.
I'm BEGGING you. plz help. I will mark you brainliest. I have an image attached with the question.
Answer:
start by mulitplying ten 5 times so 10x10x10x10x10=100,000. then multiply 100,000x3.8=380,000. and then times 300 so your ancwer is 114,000,000
Step-by-step explanation:hope it helps
198 woman to 110 men in the simplest form
Answer:
1 4/5
Step-by-step explanation:
198 woman to 110 is basically a ratio, so we should put it like this: 198:110
Now, a ratio that needs to be simplified is basically a fraction, so: 198/110
Now we divide the fraction.
First, find the GCF of both numbers.
The GCF of 198 and 110 are both 22.
Now we divide, and we get 9/5, and we turn it into a mixed number, 1 4/5.
Help please______________________________
Answer:
By rounding each number to the nearst whole number, estimate the solution:
2.7²X4.3=31.347
8.8-5.15=3.65
for this 31 and 4 if you want to round
Step-by-step explanation:
Answer:
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Step-by-step explanation:
brainly the following stem-and-leaf plot shows the on-record attendance for regional charity drive meetings
What is the mode?
A.)48
B.)84
C.)70
D.)66
Answer:
what does the stem-and-leaf plot look like?
Two lines have the equations:
2x + 3y = 15 and
3x – 2y = 3
Solve these equations simultaneously to find the point of intersection of the lines.
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
4976÷4=1244
8÷4=2
1244 pounds and 2 ounces.
Answer:
1244 pounds 2 ounces
Step-by-step explanation:
1. Turn everything into ounces. (1 pound is 16 ounces)
4976 x 16 = 79616
2. Add
79616 + 8 = 79624
3. Divide
79624 divided by 4 = 19906
4. Convert it to pounds
19906 divided by 16 = 1244 remainder of 2
5. Get the answer
1244 pounds 2 ounces
The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school.
What is the minimum amount of money he needs to save each month?
$540
$625
$675
$1,250
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Lucilla wondered what the average weight of each grapefruit was in a five-pound bag of grapefruits. She purchased six bags and calculated the average weight for a single grapefruit in each bag. Bag of Grapefruits Average Grapefruit Weight (oz) 1 7.1 2 6.9 3 7.3 4 7.6 5 8.1 6 7.5 Using her results, a grapefruit from a five-pound bag of grapefruits should weigh between 7.3 oz and 7.6 oz. 7.1 oz and 7.5 oz. 6.9 oz and 8.1 oz. 7.1 oz and 7.6 oz.
The data collected by Lucilla is as follows:
7.1 oz
6.9 oz
7.3 oz
7.6 oz
8.1 oz
7.5 oz
What is Range?The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.
We need to put this data in order, this will give us:
6.9 , 7.1 , 7.3 , 7.5 , 7.6 and 8.1
We have
smallest value is 6.9 oz
largest value is 8.1 oz
all other values fall in this range
Therefore, the weight of an orange based on her calculations is between 6.9 oz and 8.1 oz
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Answer:
6.9 and 8nd 8.1 or C
Step-by-step explanation:
Find the area of the shaded sector. Leave your answer in terms of π.
a. 3π ft2
b. 32π ft2
c. 18π ft2
Due in 3 minutes Need help ASAP
Will mark you brainlist
Answer:
I think it's 10 gallons less than Evan
Beth wants to exercise for 4/5 hour .so far she has exercise for 2/3hour what fraction of hour does she have left to exercise
Answer:
Hi! The answer is 2/15 . I'm sorry If i'm wrong :(
Step-by-step explanation: To be honest, I suck at explaining :p
If a * b = a/b - 1, then 7 * 28 =
Which system of equations has the same solution as the system of
equations shown below?
6x + 2y = 10
8x + 4y = 12
Answer:
b
Step-by-step explanation:
that's what my teacher said.
6x + 2y = 10 and -4x=-8 system of equations has the same solution as the system of equations 6x + 2y = 10 and 8x + 4y = 12
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are
6x+2y=10..(1)
2y=10-6x...(2)
We need to find system of equation which having same solutions as above.
From equation (2)
y=5-3x
Now substitute y value in equation 1.
8x+4(5-3x)=12
8x+20-12x=12
-4x=12-20
-4x=-8
Hence, 6x + 2y = 10 and -4x=-8 system of equations has the same solution as the system of equations 6x + 2y = 10 and 8x + 4y = 12
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V² = u² + 2as
u=8 a= -7 s= 2
Work out a value of v
Answer:
v=6
Step-by-step explanation:
Just plug in the numbers u already know.
v²=8²+2*(-7)*2
V²=64-28
v²=36
v=√36
v=6
Commercial dredging operations in ancient rivers occasionally uncover archaeological artifacts of great importance. One such artifact is Bronze Age spearheads recovered from ancient rivers in Ireland. A recent study gave the following information regarding discoveries of ancient bronze spearheads in Irish rivers.
River Bann Black water Erne Shannon Barrow
No of spearcheads 25 7 15 33 14
Required:
a. Make a Pareto chart for these data.
b. Make a circle graph for these data.
Answer:
Please find the attached file for the solution:
Step-by-step explanation:
Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.
Answer:
Step-by-step explanation:
You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.
when time in hours (t) increases, how does distance in km (d) change?
Question seems incomplete but will be explained with assumptions
Answer and explanation:
If for example, a car travels 30 km per hour, then it would travel 60km in 2 hours and 90km in 3 hours and so on
We can apply the formula for distance as such:
Distance(d)= Speed(s) × time(t)
d=st
Where d is distance travelled say 60km
S is speed= 30km/hr
Time = 2 hrs
Also to calculate speed when distance and time is given, we can make speed the subject of the formula:
s=d/t
To calculate time when distance and speed are given, we can make time the subject of the formula:
t=d/s
someone pls help (15 points)
need asappppp
Answer:
x=7
Step-by-step explanation:
(x+16)=(4x-5)
Subtract x from both sides
16=3x-5
Add 5 to both sides
21=3x
Divide both sides to get x=7
Both angles are congruent due to the vertical angles theorem which states that if angles are vertical then they are congruent.
Hope this helps!
Pls answer this for brainly
Answer:
54
Step-by-step explanation:
x-1=3
2xy=24
3+24=27
27·2=54
Answer:
54
Step-by-step explanation:
Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. SAS
D. None, not congruent
SAS is the postulate that establishes the congruence of these two triangles.
What is meant by triangle?The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles. According to the Angle-Side-Angle Postulate (ASA), if two angles from one triangle and its included side are congruent with two angles from another triangle and its included side, then the two triangles are congruent. Three sides and three vertices make up a triangle, which is a polygon. There is a 180 degree angle created inside the triangle. In other words, a triangle's internal angles add up to 180 degrees.To learn more about triangle, refer to:
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What is the area of the triangle?
2
2
units2
Answer:
2
Step-by-step explanation:
you just multiply
Will mark brainliest!!!
Solve for x
Answer:
31.88
Step-by-step explanation:
You will use cos, which is adjacent/hypotenuse
cos(15)=x/33
0.97=x/33
31.88=x
D) 5. Which situation can be represented by 3s = 5s– 6?
Answer:
zzzzzolcialmmmmed1a
Step-by-step explanation:
z0mb13br41n5f1r3k1n6
Jerry takes trail mix on hikes. A package of dried apricots weighs 74 ounces. A package of sunflower seeds weighs 60 ounces. Jerry divides the apricots and seeds equally among 8 bags of trail mix.
i dum please help
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i riley need help with this riley bad !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!............
Answer:
Green and Orange
Step-by-step explanation:
Green and Orange because 1 1/4 = 1 2/8
2 1/8 + 1 2/8 = 3 3/8
Can I please get brainliest
What is the measure of angle KLM
Answer:
In triangle KLM, the measure of angle K is 119 degrees, KL=23, and KM=20.
The measurement of the angle KLM is 64°.
What is an angle?An angle is a geometrical shape that is formed by two rays or lines, called the sides or arms of the angle, that share a common endpoint, called the vertex of the angle.
Given is a figure, we need to find the measurement of ∠KLM,
Here,
∠KLM + ∠KLJ = 180° [linear pair]
20x+4 + ∠KLJ = 180°
∠KLJ = 176-20x
Consider the triangle, KLJ,
∠KLJ + ∠KJL + ∠JKL = 180° [sum of the interior angles of a Δ)
8x+18+6x+4+176-20x = 180°
-6x = -18
x = 3
So, ∠KLM = 20(3)+4 = 64°
Hence, the measurement of the angle KLM is 64°.
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Solve 3(3/5)*2(3/4)*3(5/6)
Answer:
6.75
Step-by-step explanation:
Multiple: 3 * 3/
5
= 3 · 3/
1 · 5
= 9/
5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(9, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - three multiplied by three fifths = nine fifths.
Multiple: the result of step No. 1 * 2 = 9/
5
* 2 = 9 · 2/
5 · 1
= 18/
5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - nine fifths multiplied by two = eighteen fifths.
Multiple: the result of step No. 2 * 3/
4
= 18/
5
* 3/
4
= 18 · 3/
5 · 4
= 54/
20
= 27 · 2/
10 · 2
= 27/
10
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(54, 20) = 2. In the next intermediate step , cancel by a common factor of 2 gives 27/
10
.
In words - eighteen fifths multiplied by three quarters = twenty-seven tenths.
Multiple: the result of step No. 3 * 3 = 27/
10
* 3 = 27 · 3/
10 · 1
= 81/
10
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 10) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - twenty-seven tenths multiplied by three = eighty-one tenths.
Multiple: the result of step No. 4 * 5/
6
= 81/
10
* 5/
6
= 81 · 5/
10 · 6
= 405/
60
= 27 · 15/
4 · 15
= 27/
4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(405, 60) = 15. In the next intermediate step , cancel by a common factor of 15 gives 27/
4
.
In words - eighty-one tenths multiplied by five sixths = twenty-seven quarters.
What lines are perpendicular to 3x+6y=5
Answer:
u means that to make the equations
Answer:
the line on the point 1.2 and 4.5
Step-by-step explanation:
Work out the values of a and b in the identity
5(7x + 8) + 3(2x + b) ≡ ax + 13
52 - 5 – 8
I need help pls !!
Answer:
39
Step-by-step explanation:
Answer: 39?
Step-by-step explanation: is it integers?