The different probabilities and number of callers expected to be waiting are;
A) P(x = 3) = 0.0286
B) P(x = 13) = 0.1056
C) 8 will be waiting
D) P(x = 0) = 0.0003
E) P(x = 0) = 0.0067
How to find probability using Poisson distribution?
We are given the rate of 48 phone calls per hour.
Thus, we will use poisson's distribution formula;
P(x) = (λˣ × e^(-λ))/x!
A) Probability of receiving three calls in a 10-minute interval of time which is P(x = 3). Thus;
λ = 48 * (10/60)
λ = 8
P(x = 3) = (8³ × e⁻⁸)/3!
P(x = 3) = 0.0286
B) Probability of receiving exactly 13 calls in 15 minutes is P(x = 13). Thus;
λ = 48 * (15/60)
λ = 12
P(x = 13) = (12¹³ × e⁻¹²)/13!
P(x = 13) = 0.1056
C) No calls are currently on hold and it takes 10 minutes to complete one call. Thus;
λ = 48 * (10/60)
λ = 8
Thus, 8 will be waiting after 10 minutes.
D) Probability that no one will be waiting is;
P(x = 0) = (8⁰ × e⁻⁸)/0!
P(x = 0) = 0.0003
E) No calls being processed and it takes 5 minutes for a personal time without being interrupted by a call. Thus;
λ = 48 * (5/60)
λ = 4
P(x = 0) = (4⁰ × e⁻⁵)/0!
P(x = 0) = 0.0067
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Given: AB=CD, BC=DA
Prove: ABCD is a parallelogram
Answer:
Step-by-step explanation:
2) reflexive property
3) Triangle BCD, SSS
4) Angle 3, Angle 2
5) Alternate interior angles theorem
6) If a quadrilateral has 2 pairs of opposite sides that are parallel, the quadrilateral is a parallelogram.
Samuel bought
bought a model aeroplane or € 15. He painted are reparred it and
sold it for a profit of 40% How much did he sell it for?
Answer:
21
Step-by-step explanation:
Multiply 15 and 14 the answer is 21
Andrea is going to buy x lbs of pasta salad and y lbs of chicken salad for a party
Good job Andrea!!! .
Find the base.
16 = ?
The exponent is 4
Answer:
2
Step-by-step explanation:
The exponent, 4, means ? x ? x ? x ? = 16
? = 2, because 2 x 2 x 2 x 2 = 16
Hope this helps :)
Have a nice day!
(show ur work) what is 9 3/5 ÷ 3 1/3 =
Answer:
2 22/25
Step-by-step explanation:
9 3/5 ÷ 3 1/3
We need to convert to improper fractions
9 3/5 = ((5*9)+3) /5 = 48/5
3 1/3 = (( 3*3)+1)/2 = 10/3
48/5 ÷ 10/3
Copy dot flip
48/5 * 3/10
Rewrite
48/10 * 3/5
24/5 * 3/10
72/25
Rewrite as a mixed number
50/25 + 22/25
2 22/25
The simple interest on a sum of money is 25% of the principal and the number of year is equal to the rate percent per annum. Find the rate.
Answer:
5
Step-by-step explanation:
Simple Interest =25%*p
rate = term = t
from simple interest = ptr/100
term = rate = 5
Which of the following best describes the expression 5(x + 2)
Answer:
[tex]5x + 10[/tex]
Step-by-step explanation:
[tex]5(x + 2) = (5 \times x) + (5 \times 2) = 5x + 10[/tex]
The area of the trapezoid is 30square inches.
b1 is 8 - b2 is 4
What is the trapezoid's height, h?
Answer:
the height is 7.5
Step-by-step explanation:
30 divided by 4 = 7.5
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
It is 6!! im doing the same test can you help me out with my question?
Step-by-step explanation:
Answer:
A rectangular prism is a 3D figure with 6 rectangular faces. To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units. Created by Sal Khan.
Step-by-step explanation:
pls give me brainliest
A 2-column table with 9 rows. The first column is labeled year with entries 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013. The second column is labeled precipitation with entries 5. 98, 6. 05, 07. 59, 5. 27, 3. 11, 7. 18, 2. 95, 7. 22, 2. 61. The table shows the precipitation in December, in inches, for Washington state from 2005 to 2013. What was the mean amount of precipitation during this time? Round to the nearest hundredth. 1. 97 inches 2. 61 inches 5. 33 inches 5. 98 inches.
The mean amount of precipitation from 2005 to 2013 is 5.33 inches.
It is given that
precipitation in 2005 = 5.98 inch
precipitation in 2006 = 6.05 inch
precipitation in 2007 = 7.59 inch
precipitation in 2008 = 5.27 inch
precipitation in 2009 = 3.11 inch
precipitation in 2010 = 7.18 inch
precipitation in 2011 = 2.95 inch
precipitation in 2012 = 7.22 inch
precipitation in 2013 = 2.61 inch
What is the mean value?The mean value is the ratio of the sum of all observations to the number of observations.
Sum of observation = 47.96
Number of observations = 9
Mean = 47.96/9 = 5.33 inches
Therefore mean amount of precipitation from 2005 to 2013 is 5.33 inches.
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Answer:
5.33 inches
Step-by-step explanation:
e2022
What are the coordinates of quadrilateral A'B'C'D'?
Please answer soon (45 Points)
Answer:
Step-by-step explanation:
The answer is the first choice.
The maximum calories per week for the dog is 4900
One week is seven days which means:
maximum calorie/day = [tex]\frac{4900 calorie/day}{7 day}[/tex]=700 calories/day
Thus the dog can have 700 or fewer calories per day
What is the solution for r in the following system of equations?
2x + 3y = 16
2 + 2y = 10
Answer:
(2,4)
*View attached graph*
Step-by-step explanation:
2x + 3y = 16
2 + 2y = 10
2 + 2y = 10
-2 - 2
2y = 8
/2 /2
y = 4
2x + 3y = 16
2x + 3(4) = 16
2x + 12 = 16
- 12 - 12
2x = 4
/2 /2
x = 2
(x,y) -> (2,4)
Hope this helps!
Find the distance between the pair of points.
(0, -21) and (-13, - 25)
Answer The distance between the two points in exact form is
√185 and the decimal form is 13.60147050...
20 POINTS HURRY! What is the slope of the line that passes through the points listed in the table?
A. -3
B. 3
C. 5
D. 7
Answer:C
Step-by-step explanation:
An amount is reduced by 20% and the result is 44. What was the original amount?
Answer:
44 decreased by 20% = 35.2
Absolute change (actual difference):
35.2 - 44 = - 8.8
Step-by-step explanation:
Find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12,.
Answer:
T(n) = 9n - 24
Step-by-step explanation:
The first term is -15, therefore a = -15
The difference between the 1st and 2nd term is 9, therefore d = 9.
Set up the equation with T(n) = a + (n-1)d
T(n) = -15 + (n-1)(9) = 9n - 24
Joan made a graph modeling her income and costs for selling x loaves of zucchini bread at the farmers' market.
After examining the graph, Joan determines that she will need to sell 19 loaves of bread in order to break even. Her coworker says that she is not correct, and that Joan actually only needs to sell 18.824 loaves of bread
Is Joan's answer practical in this situation, and why or why not?
A.
Joan's answer is not practical in this situation since the graph intersects below the x-value of 19.
B.
Joan's answer is not practical in this situation since income and costs can be measured in decimal increments.
C.
Joan's answer is practical in this situation since, based on the graph, there is no reason to report a value other than 19 loaves of bread.
D.
Joan's answer is practical in this situation since her costs are more than her income until she sells more than 19 loaves of bread.
The number of bread loves to sell to break even is 19, thus, Joan is practical in this situation, so option D is correct.
What is a graph?A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Given:
Joan determines that she will need to sell 19 loaves of bread in order to break even,
As you see from the graph,
The coordinate of the cost line can be determined by (0, 80) and (11, 110) and the coordinates of the income line can be determined as (0, 0) and (10, 70)
Write the equation of the line as shown below,
y - 80 = 110 - 80 / 11 - 0 (x - 0)
y - 80 = 30 / 11 x
And y = 70 / 10 x
Solve the above equation, you will get the value of x and y,
x = 18.72 and y = 7 × 18.72 = 131.06
Joan can break even when she sold 18.72 of bread, but the bread loaves can't be divided into further pieces, thus she has to sell 19 to break even.
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The function f(x) = 2x2 3 represents the rate of a boat traveling with the current in miles per hour. The function g(x) = x 2 represents the time the boat traveled in hours. Solve (f • g)(2), and interpret the answer. (f • g)(2) = 15, the distance in miles the boat traveled (f • g)(2) = 15, the number of boats (f • g)(2) = 44, the distance in miles the boat traveled (f • g)(2) = 44, the number of boats.
The distance in miles the boat traveled for the modeled function of speed and time is,
[tex](f .g)(2) = 44[/tex]
What is the rate of speed?The rate of speed is the rate at which the total distance is travelled in the time taken.
The function which represents the rate of a boat traveling with the current in miles per hour is,
[tex]f(x) = 2x^2+ 3[/tex]
The function which represents the time the boat traveled in hours is,
[tex]g(x) = x+ 2[/tex]
The distance traveled by boat is the product of rate of speed of the boat and time taken by the boat. Thus, the multiplication function for the above two function can be given as,
[tex](f.g)(x)=(2x^2+3)(x+2)[/tex]
Solve the above function for (f • g)(2) as,
[tex](f.g)(2)=(2(2)^2+3)(2+2)\\(f.g)(2)=(8+3)(4)\\(f.g)(2)=44[/tex]
Interpret the above answer with the given option we get, (f • g)(2) = 44, the distance in miles the boat traveled
Hence, the distance in miles the boat traveled for the modeled function of speed and time is,
[tex](f .g)(2) = 44[/tex]
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Anna sells candy apples at her yard sale. She wants to earn more than $40. She sells the apples for $2 each and has earned $26. How many apples, a, does she need to sell to reach her goal?
Write an inequality to determine the number of apples anna needs to sell to meet her goal.
Solve the inequality.
Graph the solution set on the number line.
Explain the solution set.
please
Answer:
7
Step-by-step explanation:
Because if 1 apple=2$ then she need to sell 20 apples she now has 26$ meaning she has sold 13 of them so 26$
She needs 14 more$ remember the rule 1 apple=2$ so if she needs 14 more $ then that means 7 more apples=14$ And there's your answer 7 more apples.
Hope this helps have a great afternoon:)
Which angle is a reflex angle? A. An angle measuring 105 . An angle measuring 185 degrees . An angle measuring 65 D. An angle measuring 90 degrees
Answer:
an angle greater than 180° and less than 360°.
Step-by-step explanation:
The correct value of reflex angle is,
⇒ An angle measuring 185 degrees.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
To find reflex angle.
Now, We know that;
Reflex angle is greater than 180 degree and less than 360 degree.
Thus, By options;
⇒ 185° > 180°
Hence, The correct value of reflex angle is,
⇒ An angle measuring 185 degrees.
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Make x the subject of the formula Tx/q = y
Answer:
Step-by-step explanation:
To make 'x' as the subject isolate 'x'.
To isolate 'x',
Step 1: Multiply the entire equation by q
Step 2: Then Divide by T
[tex]q*\dfrac{Tx}{q}=q*y\\\\\\Tx=qy\\\\\dfrac{Tx}{T}=\dfrac{qy}{T}\\\\\\x=\dfrac{qy}{T}[/tex]
Answer:
x = qy/T
Step-by-step explanation:
We want to isolate the x term. To do that, first multiply by q to end up with Tx = qy.
Then divide by T to get x = qy/T.
x is by itself, and we have our answer.
Which shows 34,867 rounded to the nearest hundred? O A 34,900 . B. 34.800 C. 34 500 D. 34.000
Answer:
A. 34,900
Good Luck!!
Answer:
A) 34,900
Step-by-step explanation:
When rounding to the nearest hundred, look at the TENS DIGIT of the number.
If that digit is 0, 1, 2, 3, or 4, you will round down to the previous hundred.
If that digit is 5, 6, 7, 8, or 9, you will round up to the next hundred.
hope it helpsbrainliest please
have a good dayFor each babysitting job, Adam charges a fee for his bus fare plus an hourly rate
The graph shows how he calculates the cost of a babysitting job.
Drag numbers to complete a linear function in terms of x and y to model the situation.
Numbers may be used once, more than once, or not at all.
fy у
20
18
16
14
12
Total Cost (5)
ON
10
8
6
4
20
х
3
1 2
Time (hours)
2
3
4
8
6
6
11
Answer:
6x+2
Step-by-step explanation:
6/1 going up 6 and right 1
y is 2 because it starts at 2
Liam is carving a totem pole the same height as Marcus. Liam is 2/3 done. How many feet has Liam carved so far?
Marcus's height is 3 3/8 feet tall.
Answer:
2.25 or 2 1/4
Step-by-step explanation:
Find out 2/3 of 3 3/8
Divide:
Answer: 2.25
nequall es on the very 5. Danny buys 3 gallons of gas for $22.41. Find the unit price.
please help ASAP!
Answer:
i think its 5x3 and 5x3=15
Step-by-step explanation:
Your Welcome!
i need help. please thanks
Answer:
1920
Step-by-step explanation:
What we can do is split this into two sections: the volume of the rectangle and the volume of the square.
Rectangle: We can follow the equation V = lbh, so we have 14x8x10, giving us 1120.
Square: We can use the same equation, V = lbh, giving us 10x10x8 which is 800.
Final Answer: To get the full volume, we have to add these together, so, 1120 + 800 = 1920.
what is the correct solution to the following inequality?
The answer is, x < -6/5 hope it helps
CAN SOMEONE PLEASE HELP ME I DOUBTER UNDER HALf these questions Please help:(
Answer: I can only help you with number Im sorry
Step-by-step explanation:
10(-1.2 + 6) = 48
X = 3 Y = 2
-4 x 3 = -12 30 x 2 = 60
-12 + 60
48
48 = 48
Im in middle school so Im sorry that it took me long to reply I had a hard time finding the answer. The other questions I haven’t been taught yet so maybe search up what the question is about for help if you don’t get any helpful replies :)(:
Marlon decided to go for a long run early Saturday morning. When he got back, he was very thirsty. He drank 600 milliliters of water. After 10 minutes he drank another 250 milliliters of water. How many liters of water did Marlon drink just after his Saturday run?
0.650 L
650 L
0.850 L
850 L
Answer:
0.850 L
Step-by-step explanation:
