The probabilities for exact 8 and less than 8 calls can be obtained as 0.1009 and 0.1785 respectively.
What is Poisson distribution?Poisson distribution is applied for the case where the events occur in a specific period of time with constant rate.
The given case belongs to Poisson distribution,
It can be solved as follows,
(a) The probability of exactly 8 calls can be obtained as,
P(Exact 8 calls) = [tex]e^{-\lambda} \lambda^{x}/x![/tex]
Where x = 8 and λ = 2.1 × 5 = 10.5.
Then, the probability is obtained as,
⇒ e⁻⁸ × 10.5⁸/8!
⇒ 0.1009
It implies that if 100 calls are selected randomly for the interval of 5 minute, 10 calls can be expected.
(b) The probability of less than 8 calls can be obtained as
P(Less than 8) = [tex]\sum_{x =1}^{7}e^{-\lambda}\lambda^{x}/ x![/tex]
⇒ P(Less than 8) = 0.1785
It implies that out of 100 randomly selected 5 minute calls, around 18 have less than 8 calls.
Hence, the required probabilities for the given case are 0.1009 and 0.1785 respectively.
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8. Coffee Country City Council has decided to build a new road to connect Main Street
and Lincoln Lane (see the drawing). If construction costs $25,000 per mile, how much
will it cost?
Main Stream
3 mil
Lincoln Ln
1.5 miles-
NEW ROAD
Answer:
easy just pull put calculator and add 25,000 with 3 mil
Step-by-step explanation:
Answer:
Cost 64951.91
Step-by-step explanation:
We are to assume that the new road and Lincoln Lane meat at right angles. If that is true we can use the Pythagorean Theorem.
Givens
a = 1.5 miles
b = ?
c = 3 miles
Cost per mile = 25000
Solution
a^2 + b^2 = c^2
1.5^2 + b^2 = 3^2
2.25 + b^2 = 9
b^2 = 9 - 2.25
b^2 = 6.75
sqrt(b^2) = sqrt(6.75)
b = 2.5981
Cost
1 mile costs 25000
2.5981 costs x
1/2.5981 = 25000 / x Cross Multiply
x = 2.5981 * 25000
x = 64951.91
Please help me on the questions attached
Answer:
There are no questions attached.
Step-by-step explanation:
Please someone help me... I have my state test tomorrow and I don't know how to do this.
Answer: 3.8
Step-by-step explanation:
First, solve 9.30 x 10^7 to find the length of an astronomical unit.
10^7 = 10000000
9.30x10000000=93000000 miles
next, solve for the distances the sun is from Jupiter and Mars,
10^8 = 100000000
1.42x100000000=142000000 miles
4.84x100000000=484000000 miles
next, subtract the distances
484000000-142000000=342000000 miles
then, divide the sum by 93000000 to find the amount in astronomical units.
342000000/93000000=3.677419
finally, round to the nearest hundred
3.68
Find a30 of the arithmetic sequence:
−17,−7,3,13,...
Answer:
a₃₀ = 273
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 17 and d = a₂ - a₁ = - 7 - (- 17) = - 7 + 17 = 10 , then
a₃₀ = - 17 + (29 × 10) = - 17 + 290 = 273
A trapezoid has a height of 6 inches, an area of 120 inches, and one base measuring 14 inches. Find the length of the other base
Answer:
26 inches
Step-by-step explanation:
Area of a trapezoid = [tex]\frac{1}{2}[/tex](a + b) x h
a and b = 2 parallel sides
h = height
120 = 0.5(14 + b) x 6
120 = 3 x (14 +b)
Divide both sides of the equation by 3
120/3 = 14 + b
40 = 14 + b
Collect like terms
b = 40 - 14 = 26inches
Help me I’ll mark brainliest!!!!!!!
Answer:
1 first you would find the volume of the pryimid which is-
27in²
2 then you'd find the volume of the rectangular prism which is-
108in²
3 then you add the two together-
27in² + 108in² = 135in²
brainliest ;)
Writing the Standard Form of a Line
Try it
Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point
slope form is y + 1 = 2/3 (x – 8).
____x + ____y = ____
Answer:
[tex]2x-3y = 19[/tex]
Step-by-step explanation:
In standard form, represented by the formula [tex]Ax+By=C[/tex], all the constants and coefficients of the terms are integers, the terms have no common factors (besides 1), and the number in place of A is positive. Knowing this, convert the equation to standard form like so:
[tex]y+1=\frac{2}{3} (x-8)\\y+1 = \frac{2}{3} x-\frac{16}{3} \\-\frac{2}{3} x+y+1 = -\frac{16}{3} \\-\frac{2}{3}x+y = -\frac{16}{3} -1\\-\frac{2}{3} x+y = -\frac{16}{3} -\frac{3}{3} \\-\frac{2}{3} x+y = -\frac{19}{3} \\2x-3y = 19[/tex]
28% of the fish in a pond are sunfish. If there are 150 fish in the pond, how many are sunfish
Answer:
The answer would be 42 .
Step-by-step explanation:
Good luck ^.^
The base of a right rectangular pyramid has length 14 cm, width 12 cm, and height 13 cm. Describe a cross section that could be formed by a horizontal plane that intersects the faces of the pyramid above the base.
Can someone please explain how to solve this? Thanks!
Find the 8th term of the geometric sequence 3, 9, 27, ...
Answer:
The geometric sequence given is:
3, 9, and 27
When provided with a geometric sequence we must first calculate the common ratio
r is obtained by dividing a term by its preceding term.
1) 9
---- = 3
3
2) 27
---- = 3
9
for the sequence
Common ratio r = 3First term a = 3n = 8The 8th term can be obtained through formula
n-1 (8 - 1)
T = ar = 3 × 3
n
7
= 3 × 3
= 3 × 2187 = 6561
There are small, medium, and large shirts in blue, white, or gray. How many different possible outcomes are there?
9
2
12
3
3 different sizes.
3 different colors.
Total outcomes: number of sizes x number of colors.
3 x 3 = 9
There are 9 total outcomes.
Answer:
9
Step-by-step explanation:
The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event: (M)(N).
Please help!! Explanation and answer please (:
Answer:
You can draw a model for your teacher if your teacher approves
Step-by-step explanation:
Try drawing a model
HEY BESTIES WHATS POPPIN IM BACK AND READY FOR ACTION PLZ HELP
Answer:
A.
Step-by-step explanation:
The slope increases from left to right.
Answer: Positive Slope
Step-by-step explanation:
If it’s from left to right in an upwards direction, it’s positive, if it’s left to right in a downwards directio, it’s negative
How many times bigger is 3,136 than 972 in percentage form
Answer:
30.99
Step-by-step explanation:
If you know the whole sheet that would be best!!!!!
Answer:
Step-by-step explanation:
Mskwosjdbeiecdbf
What is the length of the unknown leg in the right triangle?
Answer:
15m
Step-by-step explanation:
a^2 + b^2 = c^2
a=?
b = 20m
c = 25m
a^2 + (20m)^2 = (25m)^2
a^2 + 400m^2 = 625m^2
a^2 = 625m^2 - 400m^2 = 225m^2
a = 15m
Answer:
The answer is 15
Step-by-step explanation:
Natalie invests $5,632 in a retirement account with a fixed annual interest rate of 2% compounded 12 times per year. What will the account balance be after 16 years?
A) $8,398.46
C) $7,753.92
B) $8,610.85
D) $7,910.43
Answer:
C) $7,753.92
Step-by-step explanation:
Given data
Principal= $5,632
Rate=2%
n= 12
Time = 16 years
The expression for compound interest is
A=P(1+r/n)^nt
substitute
A= 5632(1+0.02/12)^12*16
A=5632(1+0.02/12)^12*16
A= 5632(1+0.00166)^12*16
A= 5632(1.00166)^12*16
A= 5632(1.00166)^192
A=5632*1.375
A=$7744
Hence the approximate amount is C) $7,753.92
find the x-intercepts, use the zero product property, r(r+7)=0
9514 1404 393
Answer:
r = 0
r = -7
Step-by-step explanation:
There is no x in the equation, hence there are no x-intercepts.
__
If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.
The factors are r and (r+7).
The factor r is zero when ...
r = 0
The factor (r+7) is zero when ...
r +7 = 0 ⇒ r = -7
The "x-intercepts" are r=0 and r=-7.
find the value of y.
HELP DUE IN 15 MINS!
Solve for x in the parallelogram below:
X=??
Answer:
x = 4
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, sum to 180°, so
14x + 6 + 118 = 180
14x + 124 = 180 ( subtract 124 from both sides )
14x = 56 ( divide both sides by 14 )
x = 4
Answer:
x = 4Step-by-step explanation:
Adjacent angles of a parallelogram are supplementary
14x + 6 + 118 = 18014x + 124 = 18014x = 180 - 12414x = 56x = 56/4x = 4
The original price of a packet of potato chips was $2.50. Now, 5 packets of potato
chips are sold at $10. What is the percentage discount of buying 5 packets of potato
chlps?
Answer:
it would be 20% off
Step-by-step explanation:
Solve the triangle round al answers to 1 decimal
b = 6, A = 20°; - I just need Help finding a and c
Step-by-step explanation:
tan 20 = a/6
a = 6 tan 20 = 2.18 = 2.2
c = √(36+4.84)
c = √ 40.84
c = 6.38 = 6.4
If correct I’ll give brainlist
Answer:
4/-2 = -2/1 = -2
y = -2x - 16
What is the sum of the interior angles of the polygon pictured below?
Answer:
37
Step-by-step explanation: IM MAKING A GUESS IF ITS WRONG IM SORRY I TIRED
Solve for x
please help me an explanation is not needed if you don’t want to add it !
Answer:
70˚
Step-by-step explanation:
la suma de los cuadrados de dos numeros
HELP ASAP!!!!! 25 POINTS + BRAINLIEST!!!!!!!
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Graph a line with a slope of 5 that contains the point (-2,4).
Khan Academy
Answer:
Graph the point (-2, 4) and then use rise over run (Up 2 and right 5)
Step-by-step explanation:
y - y1 = m(x - x1)
y - 4 = 2/5(x + 2)
y - 4 = 2/5x + 4/5
y = 2/5x + 24/5
Find the output, kkk, when the input, xxx, is -5−5minus, 5.
k = 6x + 100k=6x+100k, equals, 6, x, plus, 100
k=
Answer:
70
Step-by-step explanation:
Answer:
k=70
Step-by-step explanation:
x=-5
k=6x+100
6X-5=-30
k=-30+100
100-30=100+-30=70
k=70
Also I did it on Khan :)