Using the binomial distribution, we have that:
a) 0.4168 = 41.68% probability that he gets through his career without a serious cycling accident.
b) Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.
For each day, there are only two possible outcomes. Either there is an accident, or there is not. The probability of there being an accident on a day is independent of any other day, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
0.0001 probability of an accident on a given day, thus [tex]p = 0.0001[/tex]250 days, for 35 years, thus the number of days is [tex]n = 250(35) = 8750[/tex].Item a:
The probability is P(X = 0), thus:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{8750} = 0.4168[/tex]
0.4168 = 41.68% probability that he gets through his career without a serious cycling accident.
Item b:
The probability changes, as we consider now just five years.The number of days is now [tex]n = 250(5) = 1250[/tex].Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{1250} = 0.8825[/tex]
Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.
A similar problem is given at https://brainly.com/question/24756209
A worker makes 220 for 8 hours of work. At this rate, how much does the worker make per hour
Answer:
22.5
Step-by-step explanation:
8hrs=220
1hr=220÷8
1hr=22.5
According to the question,
The worker makes,
[tex]8 \ hours = 220[/tex]then,
Per hour, worker will make,
→ [tex]1 \ hour = \frac{220}{8}[/tex]
By applying division, we get
→ [tex]1 \ hour = 22.5[/tex]
Thus the solution above is appropriate.
Learn more about interest rate here:
https://brainly.com/question/2254494
100x+300y=1.200
(2/3x+10)/100=(y+20)/300
Answer:
x= -4.284 and y= 1.432
Step-by-step explanation:
4. k(x) × g(x) × f(x)
[tex]k(x) \times f(x)[/tex]
[tex](2x + 5) \times (x - 1)[/tex]
[tex]2 x(x - 1) + 5(x - 1)[/tex]
[tex] ({2 x }^{2} - 2x) + (5x - 5)[/tex]
[tex] {2x}^{2} - 3x - 5[/tex]
________________________________
[tex]k(x) \times g(x) \times f(x)[/tex]
[tex]g(x) \times (k(x) \times f(x))[/tex]
[tex] ({6x }^{2} - 4x + {3x}^{4} ) \times ( {2x}^{2} - 3x - 5)[/tex]
[tex] {6x}^{2} ( {2x}^{2} - 3x - 5) - 4x ( {2x}^{2} - 3x - 5) + {3x}^{4} ( {2x}^{2} - 3x - 5)[/tex]
[tex]12 {x}^{4} - 18 {x}^{3} - 30 {x}^{2} - {8x}^{3} - 12 {x}^{2} - 20x + {6x}^{6} - 9x {}^{5} - {15x}^{4} [/tex]
2. Carlie graphed a line with a negative slope.
What must be true about the graph?
a. The graph decreases from left to right.
b. The graph increases from left to right.
c. The graph must cross (0,0).
d. The graph must be contained in Quadrants
III and IV.
Answer:
A. The graph decreases from left to right
Value Rent a car rents a luxury car at a daily rate of $38.51 plus 50 cents per mile. A business person is allotted $90 for car rental each day. How many miles can the business person travel on the 90$
102 miles
90-38.51 = 51.49 dollars left over
51.49/.5 = just over 102 miles
N
ΔABC ΔXYZ
Find the missing side length, s.
S=[ ? ]
Answer:
12
Step-by-step explanation:
Evaluate. 1 1/2+3/4÷(−1/3)−2/3 Enter your answer as a mixed number in simplest form
Answer:
-1 5/12
Step-by-step explanation:
1 1/2+3/4÷(−1/3)−2/3
3/2-2/3+3/4*3/-1
9-4/6-9/4
5/6-9/4
20-54/24
-34/24
-17/12
-1 5/12
4 X 4=16
4 X 5=20
What percent increase?
Step-by-step explanation:
20-16/16 x100
4/16 X 100 = 25%
Help please 6th grade math
Answer:
Step-by-step explanation:
-1
Show that x is not the factor of 2x*3-x*2-2x+1
Answer:
See explanation
Step-by-step explanation:
If we have a polynomial in x with x as a factor, we know that there will be no constant term. This arises because every term will be a multiple of x, and thus there will be know constant term.
Because there is a constant term in our polynomial, namely 1, x is not a factor of [tex]2x^3-x^2-2x+1[/tex], as desired.
Answer: You divide using polynomial long division or synthetic division and if the remainder is 0 then it is a factor.
Step-by-step explanation:
Please help
Dekalbs current population is 3,500 and it is increasing by 40 people pr year. Sycamores current population is 12,040 and it is decreasing by 100 people every year
Q: Write expressions for each population if x represents the number of years
And What is the current population of dekalb?
Answer:
Dekalb: 3500+40x = F
Sycamores : 12,040 - 100x = F
Step-by-step explanation:
These expressions can be used to explain each population
X = number of years for both expression
F = Final population
Dekalb: 3500+40x = F
Sycamores : 12,040 - 100x = F
The current population if 3500 if no years have gone by, plug in the year of numbers for X to find final population after the amount of years.
write an equation in slope intercept form for the line with slope -1/5 and y intercept 8. then graph the line
Answer:
y = -1/5x + 8
Step-by-step explanation:
Nakisa spent $328 on a total of 22 CDs and DVDs. If CDs cost $12 each and DVDs cost $16 each, how many CDs did Nakisa buy?
Answer:
she bought 14 i belieive.
Boris needs to memorize words on a vocabulary list for French class. He has memorized 24 of the words, which is two-thirds of the list. How many words are on
the list?
Answer:
Step-by-step explanation:
24 divided by 3 is 8 so 8 times 2 is 16 the answer is 16
How can you estimaite [tex]\sqrt 40.[/tex]
9514 1404 393
Answer:
√40 ≈ 6 4/13 ≈ 6.31
Step-by-step explanation:
The estimate by linear approximation starts with the recognition that ...
40 = 36 +4 = 6² +4
and the difference from 36 to the next square, 7² = 49 is 49-36 = 13.
The linear approximation to √40 is ...
√40 ≈ 6 4/13 ≈ 6.31
__
There are various methods for improving this approximation. Perhaps the fastest improvement is obtained using the "Babylonian method." The next iteration is the average of this value and 40 divided by this value.
(82/13 +40/(82/13))/2 = 6 173/533 ≈ 6.3246 . . . . accurate to 4 decimal places
_____
Additional comment
When you write the value in terms of a square and a remainder:
n = s² +r
then the above linear approximation of √n can be written as ...
√n ≈ s +r/(2s+1)
Using the idea that a square root can always be represented by a continued fraction, we can continue the fraction one more iteration to give a slightly better approximation:
√n ≈ s +r(2s+1)/(2s(2s+1) +r)
For the case at hand, this gives √40 ≈ 6+52/160 = 6 13/40 = 6.325, accurate to 3 decimal places. Additional iterations using the continued fraction idea can be had using ...
n'' = s + r/(s +n') . . . . . where n' is an approximation of the root and n'' is a better approximation. This does not converge as fast as the Babylonian method, but may be easier to calculate on some calculators.
A line is 4.5” long is divided into 6 equal parts. How long is each part?
Answer:
0.75"
Step-by-step explanation:
4.5÷6
please mark me brainliest
8-15/3+4*5
evaluate.
Answer:
23
Step-by-step explanation:
4*5 =20
15/3 = 5
8-5 = 3
3+20=23
8(-15/3)+(4*5)
Hi hope you’re have a great day can I get some help please
Answer:
the function is odd
Step-by-step explanation:
functions that are symmetric with respect to the y axis are even functions
functions that are symmetric with respect to the origin (the 0,0 point) are odd functions (which means that if you flipped it 180 degrees it will still look the same)
have a nice day!
What is the 7th term of the sequence 64, -16, 4, -1?
Answer:
0.25
Step-by-step explanation:
the pattern is dividing by -4. so divide -1 by -4 and you get 0.25.
(2) Below is the graph of a function, y = f (x).
(a) Draw a secant line on the graph above from x = 0 to x = 4. (copy the graph if you are writing your answers on a separate paper)
(b) What is the average rate of change of f (x) from x = 0 to x = 4? Show how you get your answer.
Answer:
Step-by-step explanation:
a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.
b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.
Place the following numbers in order from least to greatest -4.5, -3 5/6, square root of 16, -8/3, -2 pie
Answer: -2 pi, -4.5, -3 5/6, -8/3, square root of 16
Step-by-step explanation:
The number which would be the smallest would be the largest negative number sense its farthest from 0 and the greatest would by the biggest positive number in this case being square root of 16.
square root of 16 is 4 sense (4 times 4 is 16)
-8/3= -2.67
-2 pi= -6.28
-3 5/6= -3.834
Use graphing technology to find the range of the function
f(x) = –x^2 – 10x – 27
The number of words Latisha can text, y,
varies directly with x, the number of
minutes spent texting. If Latisha texted 180
words in 5 minutes, find k, the constant of
proportionality.
Answer for A it’s 24
Find the slope- intercept form -5x+6y=30
Please show steps
Answer:
slope-intercept is 5/6x, y intercept is 5 and x intercept is -6
Step-by-step explanation:
-5x+6y=30
first you are going to move your thirty to the other side of the equation so your going to minus 30 from both sides.
-5x+6y(-30)= 30(-30)
-5x+6y-30=0
then move your y to the other side of the equation
-5x-30=6y
divide by 6 to get y alone
-5/6x -(30/6)=y
-5/6x-5=y
therefore your slope is 5/6x, your y intercept is 5 and your x intercept is -6
Write the scale without units: 1 in:9 yd
Answer:
1:9
Step-by-step explanation:
that's how you write scale
Given the matrices A and B shown below, solve for X in the equation -3X + A= 3B.
Answer:
A = 3 B + 3x
B = - X + A/3
Step-by-step explanation:
X = - B + A/3
five times a number is 120, what is the number
Answer:
Step-by-step explanation:
24
Step by Step What do I do
Answer:
7:46
Step-by-step explanation:
The clock says 9:20. I am assuming that the question is related to the clock on the left. It asks for the time an hour and 34 minutes ago. One hour from 9:20 is 8:20. Now we work with the minutes. 8:20 minus 34 minutes is 7:46.
Answer:
7:46
Step-by-step explanation:
5. Your soccer team is selling hoagies for a fundraiser. You need to purchase at least 8 pounds of ham and turkey. Ham costs $4 per pound and turkey costs $5 per pound. You have $40 to spend.
Answer:you would spend 36 dollars and would have 4 dollars left, you would spend 16 dollars on ham and 20 on turkey
Step-by-step explanation:
the area of 1.25 and 0.8
Answer:
2.05
Step-by-step explanation:
1.25 + 0.8= 2.05 but if your doing multiplication then it would be 1 just 1.