Answer:
Bruh just open a calculator app lol
The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years.
A) What is the probability that the CPU fails within three years? (6 points) (Round your answer to 4 decimal places)
B) Assume that your corporation owned 10 CPUs, and assume that the CPUs fail independently. What is the probability that at least one fails within three years? (8 points) (Round your answer to 4 decimal places)
Answer: 0.393 ; 0.9933
Step-by-step explanation:
Given that :
Mean lifetime follows an exponential distribution (m) = 6
a. What is the probability that the CPU fails in the next three years?
Using the poisson distribution formula :
1 - e^-λt
λ = 1/m = 1 / 6 = 0.1667
Probability of failure in next 3 years :
P(X < 3) = 1 - e^-λx
P(X < 3) = 1 - e^-0.1667*3
P(X < 3) = (1 - e^-0.5)
P(X < 3) = 1 - 0.6065306
P(X < 3) = 0.3934693
= 0.3935
b. Assume that your corporation has owned 10 CPUs for three years, and assume that the CPUs fail independently. What is the probability that at least one fails within the next three years?
Number of pc owned = 10
CPU failure is indepndent
Probability of atleast one fails :
1 - P(X ≥ 3)^n
P(X ≥ 3) = 1 - P(X < 3)
P(X ≥ 3) = 1 - 0.3935 = 0.607
Hence,
1 - P(X ≥ 3) = 1 - 0.6065^10
1 - P(X ≥ 3) = 1 - 0.0067345
1 - P(X ≥ 3) = 0.993265
= 0.9933
BD bisects LABC. Solve for x and find m2ABC. m_ABD = 4x-2, mZCBD=2x + 6
Answer:
i) x = 4°
ii) <ABC = 28°
Step-by-step explanation:
Given that BD bisects <ABC then it is true to say that;
Angle m < ABD=m < CBD
Hence;
4x-2 = 2x +6
4x-2x = 6 +2
2x = 8
x=8/2 = 4
x= 4°
Hence
Angle m< ABD = 4x-2 = 4*4 -2 = 16-2 =14°
Angle m < ABC = 2* 14° = 28°
If U= {2, 4, 6, 8, 10, 12, 14}, which is a subset of U? * A= {2, 4} A= {1, 3, 5, 7} A= {1} A= {2, 3, 4}
Answer:
Step-by-step explanation:
Given
[tex]U= \{2, 4, 6, 8, 10, 12, 14\}[/tex]
Required
Which of the sets is a subset
A set (Set A) is a said to be a subset of another set (Set B) if the content of that set (i.e. A) can be found in the other set (set B)
Using the above definition, we have:
[tex]U= \{2, 4, 6, 8, 10, 12, 14\}[/tex]
[tex]A = \{2,4\}[/tex]
A is a subset of U because 2 and 4 are in U
[tex]U= \{2, 4, 6, 8, 10, 12, 14\}[/tex]
[tex]A = \{1,3,5,7\}[/tex]
A is not a subset of U because 1,3,5 and 7 are not in U
[tex]U= \{2, 4, 6, 8, 10, 12, 14\}[/tex]
[tex]A = \{2,3,4\}[/tex]
A is not a subset of U because 1,3,5 and 7 are in U
Hence, option A answers the question.
Which equation represents a line with slope 2/3 and y-intercept −6?
2x −3y= 18
3x −2y= 6
3x −2y= 12
2x +3y=−6
what is the square root of 125.3 rounded to the nearest hundredth ?
Answer:
11.19
Step-by-step explanation:
[tex]\sqrt{125.3} = 11.19374\\[/tex]
The hundreths place is the second digit to the right of the decimal point.
Since the number in the thousandths place is less than 5, the number in the hundreths place will remain as 9.
If the digit in the thousandths place had been 5 or greater, the answer would have been 11.20, as you would round the 9 up, consequently rounding the tenths place as well.
The probability that a male develops some form of cancer in his lifetime is 0.4567. The probability that a male has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51. Some of the following questions do not have enough information for you to answer them. Write “not enough information” for those answers. Let C = a man develops cancer in his lifetime and P = man has at least one false positive. a. P(C) =______ b. P(P|C) =______ c. P(P|C') =______ d. If a test comes up positive, based upon numerical values, can you assume that man has cancer? Justify numerically and explain why or why not.
Answer:
0-0
Step-by-step explanation:
What grade are you in? I don't understand at all :(
slope = 1; y-intercept = -4
Write the linear equation in slope intercept form
Answer:
y = x - 4
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 1
y-intercept b = -4
Step 2: Write function
y = x - 4
13. The graph below shows the relationship between the number of hours Cody works and the
amount of money he earns at his job. Which of the following statements is not true about the
relationship?
Answer:
If Cody works 20 hours, he will earn $150.
Step-by-step explanation:
The graph goes up by 1, 10, meaning if you do 20 times 10 you'll get 200, not 150
Answer:
$160
Step-by-step explanation:
If F(x) =
2x-3/5
which of the following is the inverse of F(x)?
What is the total cost of $35.00 jeans with 6.75% sales tax?
Which value is the solution for this equation
7y - 15 = 27
Answer:
Y = 7
Step-by-step explanation:
odd number between 20 and 40
Answer:
30. i. dftjtuutuldrudtuftuftuftuftjxtuxtul who j t x t j x f h x g xg
Olga walks 5 blocks to school her friend Louis walks 1/3 of that distance how many blocks does Louis walk to school
Answer:
Louis walks 1 and 2/3 blocks.
Step-by-step explanation:
To figure this out, what you want to do is multiply 1/3 by 5.
When graphing a linear inequality, the origin can always be used as a test point for determining which side of a
boundary line should be shaded. True or False
Answer: True
Step-by-step explanation:
A television normally sells for $320 this week it’s on sale for 60% off the normal price what is the price of the sale
Answer:
128 dollars
Step-by-step explanation:
You would multiply 60 (that's the percentage off) by 320 ( the price of the T.V) and then subtract the answer you got from multiplying the two from the original price of the T.v (320)
Hope this helps
Write an article for publication on why students should not cheat during examination
Answer:
The thing with exams, is that they just keep getting harder, and the consequences get more severe. Many people find themselves unable to pursue a career they want because they cannot score high on some test, and they blame the whole stupid system - but they did have 12+ years to practice taking tests.
It seems to arbitrary as a kid, but cheating tactics exist and change at all levels of education - there's not really any cumulative benefit to working on your cheating, and there's not a skill barrier to getting into cheating.
Tests on the other hand are a very arbitrary system, and the skill of taking tests can be trained. If you want to cheat, then study up on exam skills and memory tricks and studying tools. Then learn great ways to score highly on exams and it will be all the fun of cheating but you're never getting in trouble or stressed about getting caught.
In a very...amoralistic sorta way one could consider cheating to be your 'ace in the hole' sorta like steroids and athletic performance. It may be enough to push you to the next level, but if you do it early then you will never have the chance to benefit quite that much again - reputations of academic dishonesty follow you, and getting caught at the very least shows future employers that your discretion is lacking.
In that sense it is probably worthwhile to get as good at school and exams as possible, and only consider cheating when there is some life and death situation on the line and it is justifiable. Cheating is a real strategy, but it has real risks.
If you think of vegas, cheating is like trying to look at someone elses cards, or coordinate a strategy to get money out of a Casino. The casino knows you want to do this and is looking for you to do that. Now if you count cards like that recent movie about the MIT kids, there is nothing physically different about what you do - but you stack the odds in y our favor and can get on a seriously bad side of some Casinos if you are caught doing it.
Now here's the neat thing about tests - you can make way more money by being good at tests than you can by being good at counting cards (with a few notable exceptions) and you're supposed to be counting cards for the exam! The whole idea of the exam is to force you to prepare, and find some way to allow you to prove that you have mastered the material.
Exams will follow you through every stage of life, so getting good at them is an investment, and like I said it never gets easier. Like...try and fail and work new strategies all you want until your last 2 years of highschool - there's no significant consequences for failure at that point. From there forward your future really is on the line, cheat in highschool and you are at the mercy of your administrators and later the admissions officials opinion of cheaters.
Where my Among Us fans at?!
Answer:
here
Step-by-step explanation:
i played it till 3 am once
What is the slope of the line that passes through the points (6, -10)(6,−10) and (3, -13) ?(3,−13)?
Answer:
The slope of the points is (3,3)
Step-by-step explanation:
If you plot both points on a graph and start at the one furthest down on the graph, then go up three and to the right three you get to your second point and you have your slope. Remember going down or to the left makes the slope negative and it is always rise over run.
A school goes on a field trip to the zoo. They bring 67 people.
Each ticket to the zoo costs $23. ABOUT how much did the school pay
to go to the zoo?
Answer:
since u said about i assume we round
67 to 70 ppl
23$ to 20$
70x20
1400 they payed around 1400$
accurate answer
67x23
1541$ they payed 1541$ exactly
..What is 88% of 22?
Answer:
it 19.36
ynhbtgvfrdeg5t4fr
Find the slope of the tangent line to f(x) = 2x +3 at
at x = 2.
2++2++2+2+222+22222222222+++222=
Answer:
thank you thank you thank youuuu:))))) i will make our question now
Step-by-step explanation:
:***
Answer:
umm here is the slide cause i couldnt add it on the other question
Step-by-step explanation:
write the equation for 30 is 75% of what number show your work
Answer:
22.5
Step-by-step explanation:
How do you solve this question?
In order to find this answer, you must multiply the number given (30) by the percentage (75%). 75% is equal to .75. So, if you multiply 30 and 75%, you will get 22.5.
Hope this helps,
Philip
Brainliest always appreciated! <3
An endangered species of fish has a population that is decreasing exponentially (A - Apekt). The population 5 years ago was 1800. Today, only 800 of the
fish are alive. Once the population drops below 100, the situation will be irreversible. When will this happen, according to the model? (Round to the nearest
whole year.)
O 12 years from today
15 years from today
O 14 years from today
O 13 years from today
Answer:
13 years.
Step-by-step explanation:
I don't understand the original equation you entered, so I'm going to use another one.
[tex]A = A_0e^k^t[/tex]
Where A = initial population
A₀ = current population
e = Euler's constant
k = rate of decrease
t = time in years
Let's start off with what we know.
Today there are 800 fish left:
A₀ = 800
There were 1800 fish 5 years ago:
t = -5
A = 1800
The equation now looks like [tex]1800=800e^-^5^k[/tex]
First we find the rate of decrease.
[tex]\frac{1800}{800} = e^-^5^k[/tex]
⇒ [tex]2.25 = e^-^5^k[/tex]
⇒ [tex]ln(2.25) = -5k[/tex]
⇒[tex]\frac{ln(2.25)}{-5}[/tex]=k
⇒ k = -0.1621
The question asks when it will drop below 100, so make it equal to 100.
⇒[tex]100=800e^-^0^.^1^6^2^1^*^t[/tex]
⇒[tex]100/800=e^-^0^.^1^6^2^1^*^t[/tex]
⇒[tex]ln(1/8)=-0.1621*t[/tex]
⇒[tex]\frac{ln(1/8)}{-0.1621}[/tex] = t = 12.821
To the nearest year this is 13.
(3) The HCF of two numbers is 6, if one of the numbers is 42, find the other
number?
Answer:
7jfkr
Step-by-step explanation:
its 7 because just because
Which pair shows equivalent expressions? Hurry it’s timed
Answer:
B I'm pretty sure
Step-by-step explanation:
graph y = 2/3x
this khan academy buulcrap >:(
Answer:
.__.
Step-by-step explanation:
Start from (0,0), go up 2 units, right 3 units. Repeat and there, you graphed it! Now pat yourself on the back and move on with your life :D
If 3 boxes weigh 10 pounds, how much do 4 boxes weigh?
Answer:
About 13.32 Pounds
Step-by-step explanation:
First. take the total weight of the three boxes and divide it by the number of boxes.
10/3 = 3.33 and so on
Now we know each box ways 3.33 pounds.
Now multiply 4 boxes by 3.33 pounds.
4 x 3.33 = 13.32
So the answer should be about 13.32 pounds.
Answer:
13.3pounds
Step-by-step explanation:
if 3boxes = 10pounds
4boxes= ?
4×10= 40÷3
13.3pounds
write six hundred fifty-eight and twenty-nine thousandths in standard form
Answer:
658.029
Step-by-step explanation:
hope this helps (´▽`ʃ♡ƪ)
did 57urgkg zucfhuiiiiiiiii
You are negotiating a loan with a bank officer. The loan is at a moderate interest rate, and the term of the loan is six months. The bank officer tells you your monthly payment. Explain how you can quickly check whether or not the figure the bank officer gave you is reasonable. Choose the best answer.
A. Move the decimal point one place to the left. This is a reasonable estimate.
B. Multiply the interest rate by 100 and divide by 6. This should be the approximate amount of the payment.
C. Divide the loan amount by 6. This is the maximum you will be paying.
D. Divide the loan amount by 6. This is the minimum you will be paying.
Answer:
Step-by-step explanation:
I have this answer too and it's not B or D. So it might be A or C
To figure out if the figure the bank officer gave you is reasonable, divide the loan amount by 6. This is the minimum you will be paying.
According to the question, the tenure of the loan is six months. The borrower is expected to pay back a fraction of the principal and interest each month. This is the maximum amount that the borrower can pay.
The minimum amount that the borrower can pay each month is obtained by dividing the loan amount by six .
Learn more: https://brainly.com/question/11324711
