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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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
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
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
Can someone please explain how to solve this? Thanks!
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.
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
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
HELP ASAP!!!!! 25 POINTS + BRAINLIEST!!!!!!!
Answer:
5
Step-by-step explanation:
Answer:
5
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
How many times bigger is 3,136 than 972 in percentage form
Answer:
30.99
Step-by-step explanation:
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
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).
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
If correct I’ll give brainlist
Answer:
4/-2 = -2/1 = -2
y = -2x - 16
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:
Please help me on the questions attached
Answer:
There are no questions attached.
Step-by-step explanation:
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]
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:
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
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
find the value of y.
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
la suma de los cuadrados de dos numeros
If you know the whole sheet that would be best!!!!!
Answer:
Step-by-step explanation:
Mskwosjdbeiecdbf
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:
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 ^.^
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
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 :)
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.
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 ;)