answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marta_Voda [28]
2 years ago
8

The average lifetime of a set of tires is 3.4 years. The manufacturer will replace any set of tires failing within three years o

f the date of purchase. The lifetime of these tires is known to follow an exponential distribution. What is the probability that the tires will fail within three years of the date of purchase?
Mathematics
1 answer:
ICE Princess25 [194]2 years ago
7 0

Answer: the probability that the tires will fail within three years of the date of purchase is 0.12

Step-by-step explanation:

The average lifetime of a set of tires is 3.4 years. It means that μ = 3.4

Decay parameter, m = 1/3.4 = 0.294

The probability density function is

f(x) = me^-mx

Where x is a continuous random variable representing the time interval of interest(the reliability period that we are testing)

Since x = 3 years,

Therefore, the probability that the tires will fail within three years of the date of purchase is

f(3) = 0.294e^-(0.294 × 3)

f(3) = 0.294e^- 0.882

f(3) = 0.12

You might be interested in
9. Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. Apples cost $0.2
Sladkaya [172]
Assume that the number of apples is x and the number of oranges is y.

For the first given, we know that each apple costs $0.24 and each orange costs $0.8, therefore:
amount paid for apples = 0.24x and amount paid for oranges = 0.8y
we also know that the total amount spent is $12, therefore the first equation is as follows:
0.24x + 0.8y = 12

For the second given, we know that the total number of fruit bought is 20, therefore, the second equation is:
x + y = 20

You can easily graph these two functions and find a possible combination from the graph (the correct combination would be the intersection between the two lines).


5 0
2 years ago
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
Assoli18 [71]

Answer:

The sum is a binomial with a degree of 6

Step-by-step explanation:

we have

(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)

Group terms that contain the same variable

(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y

0-2xy^{5}+3x^{4}y

-2xy^{5}+3x^{4}y

The sum is a binomial ( two terms) with a degree of 6  

-2xy^{5} has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)

6 0
2 years ago
Read 2 more answers
What kind of salad do snowmen eat? Punchline 73 answer key
motikmotik

Answer:

Coldslaw

Step-by-step explanation:

6 0
2 years ago
As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than
irinina [24]
For
ax+by=c
the slope is -a/b
20x+25y≥200
slope=-20/25=-4/5
negative slope

yint is where x=0
20(0)+25y≥200
25y≥200
y≥98
positive yint

x+y<10
slope=-1/1=-1
yint is where x=0
y<10
yint is at y=10

since it is equal, it is solid line
to tell if it is above then sub (0,0) and see if true
0≥200
false
shade on side that doesn't have (0,0), shade above line


x+y<10 doesn't have equal under so it is dashed
test (0,0)
0<10
true, it is shaded below

test point (4,5)

20(4)+25(5)≥200
80+125≥200
225≥200
true

4+5<10
9<10
true


so the ones that are true are

The line x + y < 10 has a negative slope and a positive y-intercept.
The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line.
The overlapping region contains the point (4, 5).








3 0
2 years ago
Read 2 more answers
Sid has £5 to buy apples and bananas.
Simora [160]
He buys 18 apples = £1.08
He can buy 9 bananas
8 0
2 years ago
Read 2 more answers
Other questions:
  • The following system of equations is _____.
    14·1 answer
  • In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more poin
    7·3 answers
  • PLEASE HELP ASAP, CORRECT ANSWER GETS BRAINLIEST
    12·2 answers
  • A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet,
    11·2 answers
  • Alfred wants to waste less than 175 gallons of water this week. Every day that he waters the lawn, he wastes 59 gallons of water
    14·2 answers
  • Rename 24 ten thousands
    13·2 answers
  • Which products result in a perfect square trinomial? Select three options.
    12·2 answers
  • Which sentence explains why the slope of AB is equal to the slope of BC?
    12·1 answer
  • What is the unit rate of 1/4 kilometer in 1/3 hour
    9·2 answers
  • How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!