Answer:
The probability density function for the average length of life of the two components is [tex]f(x) = 0.5e^{-0.5x}[/tex]
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following probability density:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
Each missile has a length of life governed by the exponential distribution with mean 1 (with measurements in hundreds of hours). Find the probability density function for the average length of life of the two components.
2, each with mean 1 means that [tex]m = 2*1 = 2, \mu = \frac{1}{2} = 0.5[/tex]
So the probability density function is:
[tex]f(x) = 0.5e^{-0.5x}[/tex]
You are planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to know the area of the garden to determine how much topsoil you need. view attachment
Answer:
area = 1/2*b*h
h^2=hypotenuse^2-base^2
h^2= 2^2-1^2
h^2=4-1
h^2=3
h=√3
1/2*2*√3
=√3
A woman decides to have children until she has her first girl or until she has five children; whichever happens first. Find the expected value and standard deviation of X. Let X represent the number of children she has. Assume that she is equally likely to give birth to a boy or a girl on each child, and that gender is independent between children.
(a) Write out and sketch the complete probability distribution function for X.
(b) Write out and sketch the complete cumulative distribution function for X.
(c) Find the expected value and standard deviation of X.
Answer:
E(X) = 1.9375
SD(X) = 1.20
Step-by-step explanation:
Let :
G = girl ; B = Boy
P(G) = 0.5 ; P(B) = 0.5
Sample space :
G, BG, BBG, BBBG, BBBBG, BBBBB
Using the multiplication rule of independence :
P(G) = 0.5
P(BG) = 0.5 * 0.5 = 0.25
P(BBG) = 0.5 * 0.5 * 0.5 = 0.125
P(BBBG) = 0.5 * 0.5 * 0.5 * 0.5 = 0.0625
P(BBBBG) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125
P(BBBBB) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125
Creating a probability distribution table :
X = 1, 2, 3, 4, 5
For X = 5 ;
P(BBBBG) + P(BBBBB) = 0.03125 + 0.03125 = 0.0625
X :___ 1 ____ 2 ____ 3 _____ 4 _____ 5
P(X) : 0.5 __ 0.25 _ 0.125 _0.0625 _0.0625
The expected value E(X) :
√(ΣX * P(X)) = (1*0.5)+(2*0.25)+(3*0.125)+(4*0.0625)+(5*0.0625) = 1.9375
The standard deviation SD(x) :
√(ΣX²*p(x) - E(X)²
√((1^2*0.5)+(2^2*0.25)+(3^2*0.125)+(4^2*0.0625)+(5^2*0.0625) - 1.9375^2)
√(5.1875 - 3.75390625)
√1.43359375
SD(X) = 1.197
SD(X) = 1.20
WHAT PROPERTY IS USED IN THIS EQAUATION (x + y)z = xz + yz
Answer:
Distributive Property.
Step-by-step explanation:
From a point on a circle, two perpendicular chords are drawn. One is 6 cm from the center and the other is 3 cm from the center. Find the lengths of these chords.
Answer
the lengths of the chords are 12 cm and 6 cm
Answer:
The lengths of the chords are 12 cm and 6 cm
Step-by-step explanation:
See attached image
Hope this helps! :D
6. Edgar pays $67.86 for 7.8 pounds of fertilizer. What is
the price per pound of fertilizer?
O F. $6.98
O G. $5.65
H. $8.70
O J. $10.26
will mark brainlyest
After dividing, the price per pound of fertilizer, we get $8.70.
Hence, Option H is correct.
Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groupings. When dividing numbers, we divide a bigger number into smaller ones such that the larger number obtained will equal the multiplication of the smaller numbers.
Given that,
Edgar pays $67.86 for the fertilizer.
The weight of the fertilizer is 7.8 pounds.
To find the price per pound of fertilizer,
Divide the total cost by the number of pounds.
In this case, we have $67.86 for 7.8 pounds of fertilizer.
So, the price per pound of fertilizer would be:
67.86/7.8 = $8.70.
Hence,
The price per pound of fertilizer is $8.70.
To learn more about division visit:
https://brainly.com/question/11840361
#SPJ6
f(x) = x^2 – 3x +18 What is the value of the discriminant of f? How many distinct real number zeros does ſ have?
Answer:
0+=x^2-3x+18
Step-by-step explanation:
I'm smort- but if its wrong I apologize
Convert 86,000poumds to tons
Answer:
43 tons is the answer :)
Step-by-step explanation:
:))))))))))
the volume of a cone is 3pix^3 cubic units and its height is x units witch expression represents the radius of the cones base in units. options are 3x, 6x, 3pix^2, 9pix^2
Answer:
3x
I had trouble imagining it, so I plugged in 3 as x. My answer when I solved for radius was 9, or in other words, 3x because x was 3.
Consider this right triangle
If f(x) = x + 3 and g(x) = -7x + 7, which statement is true? Click on the correct answer. 5 is in the domain of fºg. 5 is not in the domain of fºg.
Answer:
man you got this
Step-by-step explanation:
If f(x) = x + 9 and g(x) = 9x – 4, - 22024651. ... Click on the correct answer. 3 is not in the domain of fºg. 3 is in the domain of fºg. 1. See answer. Add answer+5 pts ... Answer: 3 is in the domain of f(g(x)). Step-by-step explanation: ... What is the domain of the given function? a) {x | x = –6, –1, 0, 3}; {y | y = –7, –2, ...
The domain is all real numbers except 9 (positive)
This is because we can't have 0 in the denominator, and when x equals 9, then the denominator is 0. Anything divided by 0 is undefined, which is why 9 (in this equation) is not included.
Answer:
5 is not in the domain of fog
Step-by-step explanation: [tex]g(f(x) = g(\sqrt{x+3} ) = -7(\sqrt{x+3}) +7[/tex] find the domain of [tex]-7(\sqrt{x+3}) +7[/tex] which is [tex]{x|x\geq -3[/tex] therefore any number greater than or equal do -3 are not in the domain. So 5 is not in the domain of fog
Find the Area of the figure below, composed of a parallelogram and one semicircle.
Rounded to the nearest tenths place
Answer:
I Don't Know
Step-by-step explanation It looks like a messed up ice cream cone.
62%
a) The nth term of a sequence is 2n - 3
Work out the first three terms of the sequence.
[2]
b) Write down an expression for the nth term of the following sequence.
9, 14, 19,
[2]
24,
BH
Answer:
(a) [tex]Sequence: -1, 1, 3[/tex]
(b) nth term: [tex]T_n = 4+ 5n[/tex]
Step-by-step explanation:
Solving (a)
Given
[tex]T_n = 2n - 3[/tex]
The first 3 terms.
When n = 1
[tex]T_1 = 2*1 - 3[/tex]
[tex]T_1 = 2 - 3[/tex]
[tex]T_1 = -1[/tex]
When n = 2
[tex]T_2 = 2*2 - 3[/tex]
[tex]T_2 = 4 - 3[/tex]
[tex]T_2 = 1[/tex]
When n = 3
[tex]T_3 = 3*2 - 3[/tex]
[tex]T_3 = 6 - 3[/tex]
[tex]T_3= 3[/tex]
So, the first three terms are:
[tex]Sequence: -1, 1, 3[/tex]
Solving (b)
Given
[tex]Sequence: 9,14,19,24[/tex]
Required
The nth term
The sequence is arithmetic.
So, first calculate the common difference (d)
[tex]d = 14 - 9[/tex]
[tex]d = 5[/tex]
The nth term is then calculated as:
[tex]T_n = a + (n - 1) * d[/tex]
Where
[tex]a =First\ term[/tex]
So:
[tex]a = 9[/tex] and [tex]d = 5[/tex]
[tex]T_n = 9 + (n - 1) * 5[/tex]
[tex]T_n = 9 + 5n - 5[/tex]
Collect like terms
[tex]T_n = 9 - 5+ 5n[/tex]
[tex]T_n = 4+ 5n[/tex]
Can't manage to figure out this question. Can anyone help?
Answer:
Z=20
Y=16
X= 12
Step-by-step explanation:
Hope it helps
Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for $20 plus an 8% tax. How much more did Mel pay than Dave? show your work and answer in complete sentence. Round your answer to the nearest cent.
Answer:
4.6, or 4.60
Don't forget the dollar signs.
Step-by-step explanation:
8 percent of 15 = 1.2.
15-1.2=13.8
8 percent of 20 = 1.6
20-1.6=18.4
18.4-13.8=4.6
Answer:
4.6
Step-by-step explanation:
What is the value of the expression below when
x
=
5
x=5
x=5 and
y
=
2
y=2
y=2?
x
+
6
y
x+6y
x+6y
Answer:
17
Step-by-step explanation:
if x=5 and y=2 then
x+6y = 5+6x2
so 6x2= 12
12+5=17 sooooooo thats ur anwere plz thank meeeee
What is the probability the spinner will land on a quadrilateral?
Answer:
A, 5/8
Step-by-step explanation:
there are 5 quadrilaterals
Answer:
a
Step-by-step explanation:
the answer is a because there are 5 quadrilaterals and 8 spots
In 2010, $1 was worth 45.65 Indian rupees. That same year, $1 was worth 31.7
Thailand bahts. How many more rupees than bahts was $1 worth in 2010?
77.35
14.58
13.95
48.82
Melvin bought a life insurance policy from Martin, and if Melvin dies, the
insurance company has to pay Monica, whose daughter is Mary. Who is the
beneficiary of the life insurance policy?
A. Martin
B. Mary
O C. Monica
O D. Melvin
IN
Answer:
monica
Step-by-step explanation:
Suppose the scores on a history quiz are normally distributed with a mean of 73 and a standard deviation of 4.
Which group describes 16% of the population of history quiz scores?
scores below 65
scores below 75
scores above 77
scores above 81
Answer:
I really wasn't sure on this one, and I got it wrong on the quiz but the answer is the yellow option which is Scores above 77
explanation:
What is the domain of g?
Answer:
B************************
Find the measure of 7
Answer:
97°
Step-by-step explanation:
83° alternates above 7
Hence angles on a straight line adds up to 180°
180-83= 97°
Which of the following equations, represents the line with a slope of -2/5 and a y-intercept of 2?
1) y = -2/5x -2
2) y = -2/5x + 2
3) y = 2/5x - 2
4) y = 2/5x + 2
Answer:
2)
Step-by-step explanation:
Y intercept means x=0.
y=mx+c
m is the slope
y=-2/5x+c
Y intercept is 2
y=(-2/5)0+c =2
The average amount of money that people spend at Don Mcalds fast food place is $7.2500 with a
standard deviation of $2.0000.48 customers are randomly selected. Please answer the following
questions, and round all answers to 4 decimal places where possible and assume a normal
distribution.
a. What is the distribution of X? X - NG
b. What is the distribution of ?ī -NG
c. What is the distribution of S x? _ ~-
d. What is the probability that one randomly selected customer will spend more than $7.1470?
e. For the 48 customers, find the probability that their average spent is more than $7.1470.
f. Find the probability that the randomly selected 48 customers will spend less than $343.0560.
g. For part e) and f), is the assumption of normal necessary? Yes No
h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 48
people who spend the most money. At least how much must a group of 48 spend in total to
get the free sundae? $
Answer:
567888990
Step-by-step explanation:
Find the 2nd and 3rd term of the sequence 1, ___, ___, –11, –15, ...
Answer:
Step-by-step explanation:
-4 and - 7 are the second and third term
Answer:
-3, -7
Step-by-step explanation:
It's an arithmetic sequence subtracting four each time
-3, -7
If 30,000 is divided by 10 and then divided by 10 again what will be the resulting number? Help please
Answer:
300
Step-by-step explanation:
30,000/10 = 3,000
3,000/10 = 300
Help ASAP
The diagram shows a trapezium ABCD and a square PQRS.
AD=8cm
DC=3AB
The perimeter of the square is 24cm
The area of the square is half the area of the trapezium work out the length of AB
Answer:
AB = 2.25
Step-by-step explanation:
Perimeter of square = 4L
24 = 4L
L = 24/4
L = 6cm
Hence the side length of square is 6cm
Area of square = L^2
Area of square = 6^2
Area of square = 36 sq. cm
Area of square = 1/2 * Area of the trapezium
36 = 1/2 * (AB+3AB)*8
72 = (AB+3AB)*8
72 = 4AB * 8
72 = 32AB
AB = 72/32
AB = 2.25
Ms. Taylor has 25 students in her class. Only 7 of her students ride the bus to and from school. What percent of Ms. Taylor’s class does NOT ride the bus? The percent of students in Ms. Taylor's class that do not ride the bus is %.
Answer:
75
Step-by-step explanation:
definition of a lion!
Answer:
my zodiac
Step-by-step explanation:
A bag contains one green marble, two yellow marbles, four blue marbles, and five red marbles.
What is the theoretical probability of randomly drawing a blue marble from the bag?
Answer:
4/12
Step-by-step explanation:
you add all the marbles together and then make a fraction
please help i will marl you brainless tha thangkyou
Answer:
5
Step-by-step explanation:
The faces are 5
And the Name is rectangle prism