Step-by-step explanation:
a)P( a customer has to wait more than 4 minutes )=P(X>4)=e-4/2.5 =0.202
b)probability that a customer is served within the first minute =P(X<1)=1-e-1/2.5 =0.3297
c) here 99th percentile corresponding value =-2.5*ln(1-0.99)=11.51 minutes ~ 12minutes
Answer:
a) 0.2018
b)0.329
c)x=5
Step-by-step explanation:
We are given that This process can be described using an exponential probability density function with a mean of 2.5.
So, [tex]\lambda = 2.5[/tex]
[tex]f(x)=\frac{1}{\lambda}e^{-\frac{1}{\lambda} x}[/tex]
Where x>0 , [tex]\lambda[/tex] > 0
a) Find the probability that a customer has to wait more than 4 minutes.
[tex]P(X>4)=\frac{1}{\lambda} \int\limits^{\infty} _{4} {e^{\frac{-1}{\lambda} x} \, dx[/tex]
[tex]P(X>4)=1-(1-e^{\frac{-4}{\lambda}})\\P(X>4)=e^{\frac{-4}{2.5}}\\P(X>4)=0.2018[/tex]
b)Find the probability that a customer is served within the first minute.
[tex]P(0<x<1)=1-e^{\frac{-1}{2.5}}=0.329[/tex]
c)The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use?
[tex]P(X>x) \leq 0.01\\e^{\frac{-x}{2.5}} \leq 0.01\\\frac{-x}{2.5} \leq log (0.01)\\x=-2.5 \times log (0.01)\\x=5[/tex]
At a local hospital, 35 babies were born. If 28 were boys, what percentage of the newborns were boys? Express your answer to the ones place.
Answer:
80% of the newborns were boys
Step-by-step explanation:
kaitlyn and brian are ordering stickers. a carton has 20 packets wythe 600 stickers in each packet. If Kaitlyn and brian ordered 20 cartons. How many stickers did they order
Answer:
240000
Step-by-step explanation:
20x600=12000
12000x20=240000
Write the fraction 4/6 as a decimal. Round to the nearest hundredth
The value of solution after divide in form of decimal is,
⇒ 0.67
We have to given that,
To write the fraction 4/6 as a decimal.
We can simplify the fraction and then divide,
⇒ 4 /6
⇒ 2 / 3
⇒ 0.67
Rounded to nearest hundredth.
Therefore, The value of solution after divide in form of decimal is,
⇒ 0.67
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How do you do this question?
Step-by-step explanation:
f(x) = sin(x), a = π/6, n = 4
Find the derivatives.
f⁽⁰⁾(π/6) = sin(π/6) = ½
f⁽¹⁾(π/6) = cos(π/6) = ½√3
f⁽²⁾(π/6) = -sin(π/6) = -½
f⁽³⁾(π/6) = -cos(π/6) = -½√3
f⁽⁴⁾(π/6) = sin(π/6) = ½
T₄(x) = ½ (x − π/6)⁰ / 0! + ½√3 (x − π/6)¹ / 1! − ½ (x − π/6)² / 2! − ½√3 (x − π/6)³ / 3! + ½ (x − π/6)⁴ / 4!
T₄(x) = ½ + ½√3 (x − π/6) − ¼ (x − π/6)² − ¹/₁₂√3 (x − π/6)³ + ¹/₄₈ (x − π/6)⁴
Find the fifth derivative.
f⁽⁵⁾(x) = cos(x)
So the next term of the series would be:
cos(z) (x − π/6)⁵ / 5!
For 0 ≤ z ≤ π/3,│f⁽⁵⁾(x)│is a maximum at z = 0. Therefore:
│R₄(x)│≤ │cos(0) (0 − π/6)⁵ / 5!│
│R₄(x)│≤ 0.000328
│R₄(x)│is always positive, so we can ignore the bottom two graphs. The top right graph has a y-intercept of approximately 0.0003, so that is the correct graph.
Find the GCF for the following list.
108. 100
Answer:
Step-by-step explanation:
2
Answer:
4
Step-by-step explanation:
108 divided by 4 = 27
100 divided by 4 = 25
Good luck!
Paulina ran 6.2 miles last week and 10.95 miles this week.
How many miles did she run in all?
Answer: 17.15
Step-by-step explanation:
6.2+10.95=17.15
Answer:
gghhhhfhfuubf
Step-by-step explanation:
In the diagram below, DE is parallel to XY. What is the value of y?
Answer:
Option A . 122°
.............
Explanation:
Alternate exterior angles are congruent when we have parallel lines like this.
You can use their vertical angle counterparts to then use the alternate interior angles if you want.
Sharon paid $78 sales tax on a new camera. If the sales tax is 6.5%, what was the cost of the camera?
Answer:
$1200
Step-by-step explanation:
$1200
Step-by-step explanation:
78 = 6.5%
This means that if you divide 78 by 6.5, you get the equivalent of 1% of the price:
78 ÷ 6.5 = 12
So 1% = 12
Now simply multiply this by 100 to get the full answer:
12 x 100 = 1200
So the camera cost $1200!
Answer:
$1,200
Step-by-step explanation:
78 divided by 6.5=12
With percents you have to multiply to get out of 100 so:
12x100=1,200
78 divided by 6.5%=1,200
-SunflowerJada
Read the description of f below, and then use the drop-down menus to complete an
explanation of why f is or is not a function,
f relates each student in Mr. Well's history class to their score on a final exam.
Answer:
because a function always gives a determined answer from what was placed into the domain, this is not a function. what is put into the domain (students) may not get the same result through f.
Answer: 1. the students 2. the final exams 3. is- domain- one- range brainliest plzz??
Which function is a quadratic function?
f(x) = 2x2
g(x) = 5x3
k(x) = –x
b(x) = –9x4
Answer:
The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.
So the answer is f(x) = 2x2
Thank you and please rate me as brainliest as it will help me
The function f(x) = 2x² is the quadratic function while the other functions are not the quadratic function. The first option is the correct one.
A quadratic function is a polynomial with degree 4.
f(x) = 2x² is a quadratic function as the degree of the function is 2.
g(x) = 5x³ is a cubic function as the degree of the function is 3.
k(x) = -x is a linear function as the degree of the function is 1.
[tex]b(x) = -9x^4[/tex] is a quartic function as the degree of the function is 4.
So, among all options, f(x) = 2x² is the quadratic function. The correct option is the first one.
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(3^8x 2^-5x 9^0)^-2x (2^-2/3^3)^4x 3^28 PLS HELP
Answer:
(3^8x 2^-5x 9^0)^-2x (2^-2/3^3)^4x 3^28 =4
i hope this is correct
Step-by-step explanation:
What is the solution to this system of linear equations?
2x + 3y = 3
7x - 3y = 24
O (2,7)
(3,-21)
(3,-1)
O (9,0)
Answer:
(3,-1)
Hope this helps! :)
Answer:
C
Step-by-step explanation:
just got it right on edge
Find the instantaneous rate of change of the function f(x)=3x^2 as x approaches 3.
Answer:
The instantaneous rate of change as x approaches 3 is 18.
Step-by-step explanation:
From Differential Calculus and Geometry we remember that instantaneous rate of change of the function is represented by a tangent line, whose slope is determined by the first derivative of the curve. Let [tex]f(x) = 3\cdot x^{2}[/tex], the instantaneous rate of change of the function when x approaches 3 is deducted from the definition of derivative:
[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex] (1)
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x^{2}+2\cdot x\cdot h +h^{2})-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot x^{2}+6\cdot x\cdot h+3\cdot h^{2}-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{6\cdot x\cdot h +3\cdot h^{2}}{h}[/tex]
[tex]f'(x) = \lim _{h\to 0} (6\cdot x+3\cdot h)[/tex]
[tex]f'(x) = 6\cdot x \cdot \lim_{h\to 0} 1 + 3\cdot \lim_{h\to 0} h[/tex]
[tex]f'(x) = 6\cdot x[/tex] (2)
If we know that [tex]x = 3[/tex], then the instantaneous rate of change as x approaches 3 is:
[tex]f'(3) = 6\cdot (3)[/tex]
[tex]f'(3) = 18[/tex]
The instantaneous rate of change as x approaches 3 is 18.
A 7-foot piece of cotton cloth costs $7.56. What is the price per inch?
Answer:
$.09 per inch
Step-by-step explanation:
1 foot = 12 inches
Multiply each side by 7
7 ft = 12*7 = 84 inches
Take the cost and divide by the number of inches
$7.56 / 84 inches
$.09 per inch
Answer: 0.09 per inch because multiply that by 12 and thats a foot and multiply that by 7 and you'll get 7.56
Step-by-step explanation:
FIRST TO HELP IS BRAINLIEST
Answer:
(0,2)
Step-by-step explanation:
Determine the intercepts of the line.
2x + 5y = -6
Step-by-step explanation:
x-intercept: 2x + 5(0) = -6
2x = -6
x = -3
y-intercept: 2(0) + 5y = -6
y = -6/5
topic: coordinate geometry
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
A submarine descends 1/120 mile every minute. Write a product of three or more rational numbers to represent the change in the submarines elevation after 3 hours. Then find the value of the product and explain what it represents.
9514 1404 393
Answer:
(1/120 mile/min)(60 min/h)(3 h)
1.5 mile
the increase in depth after 3 hours
Step-by-step explanation:
The rate is given in terms of miles per minute. To find the elevation after 3 hours, we need a conversion from minutes to hours. One possible product is ...
(1/120 mile/min)(60 min/h)(3 h)
The value of this product is ...
(1·60·3)/(120·1·1) mile = 1.5 mile
The value represents the increase in depth after 3 hours.
What is the sum of 4 - 7i and the conjugate of 2 + 3i ?
A.6 - 4i
B.8 - 21i
C.8 - 4i
D.6 - 10i
The conjugate of a complex number z = a + b i is z * = a - b i. So
(4 - 7i ) + (2 + 3i )* = (4 - 7i ) + (2 - 3i )
… = (4 + 2) + (-7i - 3i)
… = 6 - 10i
and the answer is D.
the ruiz family is exchanging euros for us dollars the exchange rate is 1 euro 1.35261
Answer:so what is the question
Step-by-step explanation:
Which statement shows how to compute the area of a circle with a radius of 4 feet?
a. 7 times 4 squared
b. 7 times 2 squared
C. 7 times 8 squared
d. 7 times 16 squared
Answer:
I think its C......Yea C..................
Step-by-step explanation:
A train travels 16.8 km in 25 mins. find the speed of the train in
(i)km/h (ii) m/s.
i. Distance = 16.8 km
Time = 25 mins = 5/12hours
Speed = distance/time
= 16.8÷(5/12)
= 16.8 × 12/5
= 40.32 km/h
ii. In m/s = 40.32/3.6
= 11.2 m/s
The speed of the train is 11.2 m/s.
The speed of the train is 40.32 km/h.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
Distance.
= 16.8 km
= 16.8 x 1000
= 16800 m
Time.
= 25 minutes
= 25 x 60 seconds
= 1500 seconds
Speed.
= Distance / Time
= 16800 / 1500
= 16800 / 1500
= 11.2 m per second
Speed.
Distance = 16.8 km
Time = 25/60 hours
Speed = (16.8 x 60) / 25 = 40.32 km per hour.
Thus,
The speed is 40.32 km per hour.
The speed is 11.2 meters per second.
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Jason is buying a car, and he wants to pay for it in 48 monthly installments. If the total cost of the car is $9,300, how much would Jason have to pay each month?
$500 per month
$195 per month
$193.75 per month
$193.50 per month
Solve the equation: -68 = 5y - 3
Answer:
-13
Step-by-step explanation:
-68 = 5y-3 First you move the -3 by adding 3 to both sides to get -65 =5y
Then you divide 5 by both sides to get y=-13
Answer:
y = -13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-68 = 5y - 3
Step 2: Solve for y
Add 3 to both sides: -65 = 5yDivide both sides by 5: -13 = yRewrite: y = -13Step 3: Check
Plug in y to verify it's a solution.
Substitute: -68 = 5(-13) - 3Multiply: -68 = -65 - 3Subtract: -68 = -68And we have our final answer!
683,004 and 3,854.927to nearest hundredths
Answer:
683004.00
3854.93
Step-by-step explanation:
I will mark BRAINLIEST!
6x+9x-6=0
Solve by removing the GCF using the Bottoms Up method.
Please show all work
Answer:
x = 2/5
Step-by-step explanation:
3 (2x + 3x - 2) = 0
2x + 3x - 2 = 0
5x - 2 = 0
5x = 2
x = 2/5
What is the product of (–22.1)(–5.6)?
–123.76
–27.7
27.7
123.76
Answer:
d) 123.76
Step-by-step explanation:
hope this helps :)
I help to solve this problem by adding integers -2+(-4)
Answer:
-6
Step-by-step explanation:
-2 + (-4)
-2 - 4
-6
Answer:
-6 is the answer
Step-by-step explanation:
The following are the ages (years) of 5 people in a room: 22, 13, 17, 15, 17 A person enters the room. The mean age of the 6 people is now 17. What is the age of the person who entered the room?
Answer:
the 6th man's age is 58!
Step-by-step explanation:
First you have to find the mean of 22, 13, 17, 16, and 17, by first adding 22, 13, 17, 16, and 17 to get 85. Because mean is the numbers added up divided by the total amount of numbers, there are 5 numbers and then you have to divided 85 by 5.
After you get the mean of these numbers, find the other number which will level the mean to 17.
yes this was a lame explanation sorry i'm only in 7th grade and this is all new to me
The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990.
Answer:
1999
Step-by-step explanation:
Which of these quadrilaterals have opposite sides that are parallel? Name these quadrilateral
Answer:
square,rectangle,rhombus,paralellagram
Step-by-step explanation: