1answer.
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
beks73 [17]
3 years ago
5

research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impur

ity in the fuse increases. the probability is modeled by the function y=3(257,959)x where x is the impurity concentration and y, given as a percent, is the probability of the fuse malfunctioning. find the probability of the fuse malfunctioning for an impurity concentration of 0.17. round to the nearest percent.
Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0
Given that the probability <span>is modeled by the function
y=3(257,959)^x[tex]  where x is the impurity &#10;concentration and y, given as a percent, is the probability of the fuse &#10;malfunctioning.\\Then, the probability of the fuse malfunctioning for an impurity concentration of 0.17 is given by [tex]y=3(257,959)^{0.17}=3(8.316941)=24.95

Therefore, the <span>probability of the fuse malfunctioning for an impurity concentration of 0.17 is 25% to the nearest percent.</span>
</span>
You might be interested in
What equation do I need to use?
goldenfox [79]
To ease your problem, consider "L" as you x-axis
Then the coordinate become:
A(- 4 , 3)   and B(1 , 2) [you notice that just the y's changed]

This is a reflection problem.
Reflect point B across the river line "L" to get B', symmetric of B about L.
The coordinates of B'(1 , -1) [remember L is our new x-axis]
JOIN A to B' . AB' intersect L, say in H
We have to find the shortest way such  that AH + HB = shortest.
But HB = HB' (symmetry about L) , then I can write instead of 
AH + HB →→ AH + HB'. This is the shortest since the shortest distance between 2 points is the straight line and H is the point requiered 


6 0
3 years ago
What is the change in value of the 5 digit in these two numbers? 658 201 and 675 201
Rashid [163]
The change in value of the 5th digit is, 2.

50,000 to 70,000. Which is an addition of 20,000
3 0
3 years ago
The building below is shown to scale; for every 1 inch of drawing, it is 5 feet in actual distance. The exterior surface area of
VashaNatasha [74]

Answer:

50,000 square inches

Step-by-step explanation:

1:5 ratio so 250,000/5=50,000

8 0
3 years ago
park ranger spent $208 to buy 12 trees.Redwood trees cost $24 each and spruce trees cost $16 each. How many of each tree did the
katovenus [111]

Answer:

The park ranger bought 2 redwood trees and 10 spruce trees.

Step-by-step explanation:

24 * 2 = 48

208 - 48 = 160

160 / 16 = 10

7 0
3 years ago
Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the
mihalych1998 [28]

Answer:

a) 0.1353

b) 0.3679

Step-by-step explanation:

Let's start by defining the random variable T.

T : ''The time (in hours) required to repair a machine''

T ~ exp (λ)

T ~ exp (1)

The probability density function for the exponential distribution is

(In the equation I replaced λ = L)

f(x)=Le^{-Lx}

With L > 0 and x ≥ 0

In this exercise λ = 1 ⇒

f(x)=e^{-x}

For a)

P(T>2)

P(T>2)=1-P(T\leq 2)

P(T>2)=1-\int\limits^2_0 {e^{-x} } \, dx

P(T>2)=1-(-e^{-2}+1)

P(T>2)=e^{-2}=0.1353

For b)

P(T\geq 10/T>9)

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur

P(T\geq 10/T>9)=P(T\geq 1)

P(T\geq 1)=1-P(T

P(T\geq 1)=1-(-e^{-1}+1)=e^{-1}=0.3679

4 0
3 years ago
Other questions:
  • Jason is cutting a roll of sausage into pieces that are 1/2 inches thifk if the roll is 6 inchew long how many pieces of sausage
    15·1 answer
  • 83 and x what expression is that
    5·1 answer
  • Metal mercury at room temperature is a liquid. Its melting point is -39°C. The freezing point of alcohol is-114°C. How much warm
    7·1 answer
  • Let 2? + 112 = 3<br>What values make an equivalent number sentence after completing the square?​
    9·1 answer
  • PLEASE HELP ASAP WILL MARK THE BRAINLEST
    14·2 answers
  • Help please 30 points
    5·1 answer
  • Can you please help me with this problem.
    11·1 answer
  • (Will mark brainliest!!!) 20 PTS !!
    12·1 answer
  • Which of the following is most likely the next step in the series?<br> A.<br> B.<br> C.<br> D.
    9·1 answer
  • Quiz 3-1 parallel lines transversals and special angle pairs
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!