Answer:
The quartile 3 is 0.3
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]
X~Exp (0.2)
This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]
Find the quartile 3.
The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]
Since
[tex]P(X > x) = e^{-\mu x}[/tex]
[tex]e^{-5x} = 0.25[/tex]
[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]
[tex]-5x = \ln{0.25}[/tex]
[tex]x = -\frac{\ln{0.25}}{5}[/tex]
[tex]x = 0.277[/tex]
Rounding to the nearest tenth, the quartile 3 is 0.3.
Please Help!!!!! Ill give thanks and rate best!
Answer:
1/216
1/8 *1/3³ ( cross multiply ) = 1/216
Did you only need the answer for the one on the top right?? Or all of them because If you need all of them I can do that too I am just assuming you just needed that one because it was selected.
Which is the volume of the rectangular prism?
A rectangular prism with length as 8 m, height as 3 m, and width as 5 m.
Which expression is equivalent to -3 (x - y) ?
0 -3x -3y
0-3x + 3y
0 -3x - y
0-3x + y
Answer:
-3 (x - y)
expand
-3.(x) -3 (-y)
-3.(x) +3 (y) multiplication of (-1).(-1) = (+1)
Step-by-step explanation:
In a recent academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies. The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows:
$1,589, $593, $1,223, $869, $423, $1,720, $708, $1,425, $922 and $308.
a. What is the mean and median change in the cost? (Explain how you obtain your answer.)
b. What is the five-number summary of the change in the cost? (Explain how you obtain your answer.)
c. What is the standard deviation of the change in the cost? (Explain how you obtain your answer.)
d. The middle 50% of the change in the cost is spread over what value? (Explain how you obtain your answer.)
e. What is the coefficient of variation of the change in cost? (Explain how you obtain your answer.)
f. What are the (absolute values of) the Z scores of the change in cost?
Answer:
1. mean = 980 median = $895.5
2. 308, 593, 895.5, 1425, 1720
3. 491.7978
4. 895.5
5. 50.28%
Step-by-step explanation:
1. mean $1,589+$593+$1,223+$869+$423+$1,720+$708+$1,425+$922+$308/10
= 9780/10
= $978
median
We first arrange the values in ascending order
308,423,593,708,869,922,1223,1425,1589,1720
number of observation is even so we pick the 2 values in the middle and divide by 2
= 869+922/2
= $1791/2
$895.5
2. five number summary of change
the botom half of th dta set = 308,423,593,708,869
minimum value = 308
n = 5
median = 593 = q1
from 1, q2 = median = $895.5
the upper half of data
922,1223,1425,1589,1720
n = 5
median = $1425
maximum value = $1720
the five number summary of change in cost is therefore
308, 593, 895.5, 1425, 1720
3. standard deviation
[tex]s =[\sqrt{x-barx} ]^{2} \frac{1}{n-1}[/tex]
bar x is the mean = 978
($1,589-978)²+ ($593-978)²+ ($1,223-978)²+ ($869-978)+ ($423-978)²+ $1,720-978)²+($708-978)²+ ($1,425-978)²+ ($922-978)²+ ($308-978)²
= 2176786
=[tex]\sqrt\frac{1}{10-1} {2176786} \\\sqrt{ \frac{2176786}{9}[/tex]
= [tex]\sqrt{241865.1}[/tex]
= 491.7978
4. middle 50% is spread over the median, which is 895.5
5. coefficient of variation
= s/bar x * 100
= 491.7978/978 * 100
= 49179.78/978
= 50.28%
6. z score = x - mean/s
x = 1589
= 1589-978/491.7978
= 1.2424
for x = 593
593-978/491.7978
= -0.7828
= 0.7828
for x = 1223
1223-978/491.7978
= 0.4982
for x = 869
869-978/491.7978
= -0.2216
= 0.2216
for x = 423
423-978/491.7978
= -1.1285
= 1.1285
x = 1720
1720-978/491.7978
z = 1.5088
for x = 708
708-978/491.7978
= -0.5490
= 0.5490
for x = 1425
1425-978/491.7978
= 0.9089
for x = 922
922-978/491.7978
= -0.1139
= 0.1139
for x = 308
308-978/491.7978
= -1.3624
= 1.3624
g(x) = 2x
Find g(g(-3))
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below. The figure shows a right triangle with legs marked 70 and 24.
Answer:
74
Step-by-step explanation:
Write an equation of the line that passes through (-2, 0) and is perpendicular to the line y=-1/3x+3
Slope of y = -⅓x + 3 is -⅓ (on comparing with m of y = mx + c)
As the required line is perpendicular to this, slope of the required line = - 1 / (-⅓) = 3
Equation:
=> y - y1 = m(x - x1)
=> y - 0 = (3)(x - (-2))
=> y = 3(x + 2)
=> 3x - y + 6 = 0
Write an expression that is equivalent to 30(x + y + 1)
ver the past three years, the mean score on the Graduate Management Admission Test (GMAT) for the population of 782,462 students who took it was 547.35 with a standard deviation of 121.08. a. Suppose that every possible sample of size 85 was taken from the population of 782,462 students and the sample mean test score was computed for each of these samples. What value should we expect the average of these sample mean test scores to equal
We should expect the average of these sample mean test scores to equal 547.35, using the Central Limit Theorem.
Central Limit TheoremThe Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex].
For the sampling distribution, the mean and the standard deviation are given as follows:Mean: [tex]\mu[/tex], that is, the same as the population mean.Standard deviation: [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], which is the population standard deviation divided by the square root of the sample size.For a skewed, that is, a non-normal variable, the sampling distribution is also approximately normal, as long as n is at least 30.
Hence, we should expect the average of these sample mean test scores to equal the population mean of 547.35.
More can be learned about the Central Limit Theorem at https://brainly.com/question/25800303
#SPJ1
Someone can help me with it , please.
Answer:
hdhdjdjdjdjsjjsjsjshhdhsnkskshhdhsnskhdhbdjdjds
Help plz:)))I’ll mark u Brainliest !!!!
Answer: x=11
Step-by-step explanation: plz mark me brainliest
Answer:
I believe its x = 11 hope for le its right
A cone has a radius of 1.2 inches and a height pf 2.9 inches. What is the volume, to the nearest tenth of a cubic inch,of a cone?
9514 1404 393
Answer:
4.4 in³
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h
For the given dimensions, the volume is ...
V = 1/3π(1.2 in)²(2.9 in) = 1.392π in³ ≈ 4.4 in³
please help!!!!! Its timed !!!!! Ill give out most brainly and extra points !!!
HELP don’t answer of u don’t know ty
Answer:
Telling Now magazine costs the least per issue.
Step-by-step explanation:
Cost of Roller's Magazine per issue=$18/6=$3
Cost of International Traveler per issue=$32/8=$4
Cost of Telling Now per issue=$25/10=$2.5
Cost of Greatest Adventures per issue=$36/12=$3
The cost of Telling Now magazine per issue is the least one of all.
What is the distance between the points (7, 8) and (-8. 0) on a coordinate grid?
Answer:
The distance between (7,8) and (-8,0) is: 17Step-by-step explanation:
Hope this helps :)
Answer:
d= 17
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
d= [tex]\sqrt{(-8-7)^{2}+(0-8)^{2} }[/tex]
d= [tex]\sqrt{289}[/tex]
d= 17
Click on the pic and pls help!!
Answer:
x = 43.9
Step-by-step explanation:
sin 20° = 15/x
0.3420 = 15/x
x = 43.86
Please help fast! Will give brainliest to first correct answer!
Answer:
1. D
2.C
3.B
4. A
Step-by-step explanation:
:D
Answer:
1. the top one is connected to the bottom
2. is connected to the third one
3. is connected to the second one
4. is connected to the first
Step-by-step explanation:
look below
11. find the value of x in the kite below.
E
(6x + 6)
F
Р
G
14.
Step-by-step explanation:
6x+6=90 (being a straight line)
6x=90-6
6x=84
x= 84/6
x=14.
A travel company is investigating whether the average cost of a hotel stay in a certain city has increased over the past year. The company recorded the cost of a one-night stay for a Friday night in January of the current year and in the previous year for 31 hotels selected at random. The difference in cost (current year minus previous year) was calculated for each hotel.
Which of the following is the appropriate test for the companyâs investigation?
A. A one-sample zz-test for a population mean A
B. A one-sample tt-test for a sample mean B
C. A one-sample zz-test for a population proportion C
D. A matched-pairs tt-test for a mean difference D
E. A two-sample tt-test for a difference between means E
Answer:
a 99.8% confidence interval for this probability, after learning that 35 of the last 93 Red Shirts who beamed down with Kirk met an ...
what is the multiple of the unit fraction 4×3/8
Answer:
1.5
Step-by-step explanation:
4 x 3/8 = 4/1 x 3/8 = 12/8 = 3/2 = 1.5
Hope this helps =D
1
Select the correct answer from each drop-down menu.
A= 2 6 -3
1-4 3
5 3 -5
The determinants of the minors of the first-row entries are
The determinants of the minors of the second-row entries are
The determinants of the minors of the third-row entries are
Answer:
||| First row: 11 -20 23 ||| Second row: -21 5 -24 ||| Third row: 6 9 -14 |||
Step-by-step explanation:
I wish I could explain it better, but all I did was plug it into matrix A on:
https://atozmath.com/matrix.aspx?q=minor
I pressed "find" without changing any of the settings, and scrolled down until I saw what was in the attached screenshot.
Each of the rows correspond to the first, second, and third answers, as you can see.
I hope this helps!
The total surface area is _ square centimeters
Answer:
180 square inches
Step-by-step explanation:
First off since the square will be easiest to do
a=a^2
a=6^2
a=36
now for the triangles
a= height of triangle * base/ 2
a= 12*6/2
a= 36
and since there is 4 of the triangles we multiply 36 by 4
=144
now we add 144 to 36 and we have the total
Is 1/7 greater than -5
Answer:
no
Step-by-step explanation:
1/7 is positive, -5 is negative. Negative is less than positive
Imaginary numbers. What is (-i)^5?
Tell whether −5 is a solution of y+8>3
I need help in the next twooo minuteeeessss plssss
The ratio of boys to girls in your new class is 5:2. There are a total of twenty-eight kids in the
class. How many girls are in the class?'
Answer:
8
Step-by-step explanation:
28/(5+2) = 4
4 * 2 = 8
The class has 20 boys and 8 girls
please help i will give 100 points please and really answers
Answer:
78
Step-by-step explanation:
this the first valuvate but It
m_VSR =
Help meeeeeeeee
Answer:
80 degrees
Step-by-step explanation:
Can you please help
Answer:
it should be the second one
Step-by-step explanation:
.........
Answer:
B
Step-by-step explanation:
the graph of a quadratic cannot be a straight line.
Please help with this
“Is it better to buy two 4” pizzas for ten dollars or one 7” pizza for the same price?” Use a mathematical strategy of your choice to discover the answer. Then, explain why it is better to buy either two 4” pizzas or one 7” pizza.
Answer:
It's better to buy 2- 4"
Step-by-step explanation:
2 x 4" = 8"
So if you buy 2-4" pizzas, you get a total of eight inch pizzas if you add them together. SO you would get 2-4" pizzas for 10$. Which is the same price as a 7" pizza