Answer:
0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Mean of 4 minutes
This means that [tex]m = 4, \mu = \frac{1}{4} = 0.25[/tex]
Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:
This is:
[tex]P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)[/tex]
In which
[tex]P(X \leq 132) = 1 - e^{-0.25*132} = 1[/tex]
[tex]P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469[/tex]
[tex]P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531[/tex]
0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.
Each month, 8 magazines arrive at Sydney's home. Write an equation that would show the number of motnths (n) it took for Sydney to receive 56 magazines.
btw this is multiple choice so this is the choices
A. 56n=8
B.n+8=56
C.8n=56
D.56-n=8
help me asap
Answer:
C.8n=56
Step-by-step explanation:
What is the inverse of y=2x^2-8
Answer:
f − 1 ( x ) = √ 2 ( x + 8 ) /2 , − √ 2 ( x + 8 ) /2
keep it under whole root
Step-by-step explanation:
The graph of g(x) is a translation of y = RootIndex 3 StartRoot x EndRoot.
On a coordinate plane, a cube root function goes through (negative 6, negative 2), has an inflection point at (4, 0), and goes through (10, 2).
Which equation represents g(x)?
g(x) = RootIndex 3 StartRoot x minus 4 EndRoot
g(x) = RootIndex 3 StartRoot x + 4 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1.5
g(x) = RootIndex 3 StartRoot x EndRoot minus 1.5
Answer: g(x) = RootIndex 3 StartRoot x + 2 EndRoot
Step-by-step explanation:
The equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]
The graph of the function is given as:
[tex]y = \sqrt[3]{x}[/tex]
The above graph passes through the origin.
So, the function can be rewritten as:
[tex]y -0= \sqrt[3]{x - 0}[/tex]
The above function has an inflection point at (0,0).
The translated function is said to have its inflection point at (4,0).
So, the translated function is:
[tex]y -0= \sqrt[3]{x - 4}[/tex]
Subtract 0 from y
[tex]y= \sqrt[3]{x - 4}[/tex]
Express y as a function of x
[tex]g(x)= \sqrt[3]{x - 4}[/tex]
Hence, the equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]
Read more about translation at:
https://brainly.com/question/4057530
Help me please ASAP I need help
Answer:
Are you looking for the perimeter? if so it would be 34 yards
Step-by-step explanation:
Verify the Identity.
tan²xsin²x = tan²x-sin²x
tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)
… = sin²(x) (1/cos²(x) - 1)
… = sin²(x) (sec²(x) - 1)
… = sin²(x) tan²(x)
A bag contains 2 yellow, 12 red, and 6 green marbles. What is the probability of selecting 1 yellow marble, not replacing it, then selecting a green marble
Without replacement is very important
Answer this for me please.
Lena purchased a prepaid phone card for $15. Long distance calls cost .17 cents a minute using this card. Lena used her card only once to make a long distance call. If the remaining credit on her card is $7.01, how many minutes did her call last?
Answer: 47 minutes
Step-by-step explanation:
Answer:
47 minutes is the answer
someone please help me answer this!!!
Answer:
15 using the Pythagorean theorem.
hope it helps, plz mark me as brainliest.
Answer:
15 units is the answer.
Step-by-step explanation:
points are (-3,-4) and (6,8)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-3))^2 + (8-(-4))^2}\\\\d=\sqrt{(9)^2+(12)^2} \\\\d=\sqrt{81+144} \\\\d=\sqrt{225} \\\\d=15[/tex]
∴ d = 15 units is the distance between the points.
What's 1+1=? Pls help
Answer:
2
Step-by-step explanation:
USE A CALCULATOR OR USE YOUR FINGERS
Answer: I-i think its 8... wait no its 2!
Step-by-step explanation:
A triangular prism with dimensions is shown below.
5 ft
3 ft
8 ft
What is the volume of the triangular prism in cubic feet?
O A. 120 ft
O B. 20 ft
O C. 40 ft?
O D. 60 ft
Which sign makes this number sentence true?
|-6| __ |6|
A. >
B. <
C. =
D.
Answer:
C. =
Step-by-step explanation:
whenever you have | | It will always be positive so -6 turns to 6 and that makes it equal.
Someone please helppppp
Answer:
the correct answer is b) 4
The ordered pair (10,3) is in quadrant:
Answer:
1
Step-by-step explanation:
ordered pairs with both positive numbers are in Q1
Answer:
That would be the first quadrant, also known as the I quadrant and the top right quadrant.
What is 1/6 divided by 1/3 in simplest form
Answer:
1/2 or 0.5
Step-by-step explanation:
Answer:
1/18
Step-by-step explanation:
1/6÷1/3
1/3×1/6
1/3×6
1/18
HELP ME PLEASE
15 points and brainliest if right
Step-by-step explanation:
area of a rectangle bh
4x7=28
7x9=63
9x4=36
the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.
Hope that helps :)
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $49,000 and a standard deviation of $4,500. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual teacher's salary.
$
(b) Find the 90th percentile for the average teacher's salary.
Answer:
they get a lot of moohlah
Step-by-step explanation:
Please help this is geometry :)
Which data set could be represented by the box plot shown below?
10
12
14
16
18
20
22
24
26
Answer:
B
Step-by-step explanation:
12, 15, 15, 17, 19, 19, 20, 22, 24
The data set { 12, 14, 16, 18, 20, 22, 24, } is represented by the box plot above the number line.
Which data set could be represented by the box plot shown is to be determined.
Range, it is the set of the values that come out to an outcome for a certain mathematical operation.
A number line is defined as a line is a horizontal line that has equally distributed number offsets. The numbers contained on the line will determine, the number on the line that can be answered. The query that reaches the numeral resolves how it will be used, eg, planning a point.
Since the box only represent the data set of the interval of its length,
so from 12 to 24 on the number line is a set of values that are represented by the box.
Thus, The data set { 12, 14, 16, 18, 20, 22, 24, } is represented by the box plot above the number line.
Learn more about the range here:
https://brainly.com/question/12239390
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Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Your answer would be:
[tex]5 \sqrt{3} [/tex]
Step-by-step explanation:
because
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
True or False
Can the expression (2x-2) +2 be read as the sum of two terms?
which expressionis 4 times as large as the expression 34 minus 15
Answer:64?
Step-by-step explanation:
Kei buys a table and 12 chairs. Each chair cost the same price. The table cost $165. The total cost for the table and 12 chairs is $ 465. What is the cost of one chair?
Answer:
[tex]165 + 12c = 465[/tex]
Is the right answer
Answer:$25 per chair
Step-by-step explanation:
It’s $165 for only the table. Minus that from the $465 and you get $300. Do $300 divided by 12(amount of chairs) And you get $25. It’s $25 per 1 chair.
Solve for x. Round your answer to the nearest tenth.
42
37
X=
units
Answer:
10
Step-by-step explanation:
That little square gives you a hint that it's an 90 degree angle/ acute angle First add 42 and 37 and you will get 79. Next subtract 79 from 90 and you will get 11. (5 or more, raise the score, for or less, let it rest.) 11 equals 10.
Numarical form:
47 + 37 = 79
90 - 79 = 11
11 = 10
1) Which number line below
shows x 4?
a)
1 2 3 4 5 6
b)
0 1 2 3 4 5 6
C)26
O i 2 3 4
D)5
0 1 2
3 4 5
6
A
B
оооо
С
D
My last question the picture wasnt there soo her eyou go
Answer:
1 cup - 50c
2 cups - $1
3 cups - $1.50
12 cups - $6
183 cups - $91.50
not sure what to put for "c"
Step-by-step explanation:
HELP PLZZZ questions are on the screenshot whats y/4+6=10
Answer:
16
Step-by-step explanation:
y/4=4
y=16
Based on the data im the circle graph if there are 48 total students in the eighth grade, what is the total number of female eighth grade students on academic teams?
A. 48
B. 25
C. 36
D. 12
Answer:
D 12
Step-by-step explanation:
25% of 48 is 12
Please Give Brainliest
Im on a roll today since im sick
You work and your hourly wage is $12.25 if you work 40 hours this week ,how much money would you make before taxes?
Answer:
$490
Step-by-step explanation:
Since one hour of work is $12.25, 40 hours is $490.
12.25 x 40 = 490
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John 8:12 - Jesus spoke to the people once more and said, “I am the light of the world. If you follow me, you won’t have to walk in darkness, because you will have the light that leads to life.”
Philippians 2:7-8 - but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men. Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.