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
When x = 2, 10+ 3(12= (3x)) = ?
A. 12
B. 16
C. 26
D.34
E. 104
Answer: E
Step-by-step explanation:
Jamarie makes a decorative bookmark of size 2" x 6" for his teacher. Find the
area of the bookmark. *
Answer:area is 12
Step-by-step explanation:
Hey could some one please answer this question ?
The amount of time it takes a swimmer to swim a race varies inversely as the average speed of the swimmer. A swimmer finishes a race in 37.5 seconds with an average speed of 4 feet per second. Find the average speed of the swimmer if it takes 25 seconds to finish the race.
Answer:
5 average speed
Step-by-step explanation:
Answer:
eeessddsddddddddd
Step-by-step explanation:
ddds
Solve the equation for x.
x=
Answer:
x=7
Step-by-step explanation:
Determine whether the ordered pair (6,5) is a solution to the equation -2x +y = -7.
O Yes, (6,5) is a solution.
O No.(6,5) is not a solution.
Answer:
yes (6,5) is a solution
Step-by-step explanation:
(x+7)+3y simply I need help plsssss
Answer:
move 7
Step-by-step explanation:
x + 3 y + 7
What is the Compound interest on a 10,000 investment the earns 6% compound monthlyfor5 years
Answer:
The total compound interest is $3,488.50, I hope I helped explain how to find total compound interest
Step-by-step explanation:
So the formula for this would be:
A = P(1+r/n)^nt
A = the amount of your principal plus interest, which is the total
P = stands for the principal, which is your original amount invested
r = shows the interest rate in decimal form
n = stands for the number of compounding periods
So to solve for the compound interest we would plug in our numbers in replacement for the letters
Question is in photo attached:
There is only one real solution to these two equations, which we can see on the graph. The solution is where the two equations intersect.
Hope this helps!! :)
what expression can be used to find the number of 6ths in 3 wholes?
Choose ALL the correct answers!!!
1/6*6
6 divided by 1
3*6
3 Divided by 1/6
1/6 divided by 1
Answer:
B. 3*6C. 3 divided by 1/6Step-by-step explanation:
Number of 1/6 in 1 is 6.
Number of 1/6 in 3 is:
3 ÷ (1/6) = 3*6 = 18Correct choices are B and C
There are 6 1/6 exist between 1 and 0
No of 1/6 between 3 wholes:-
[tex]\\ \sf\longmapsto 3\div \dfrac{1}{6}[/tex]
[tex]\\ \sf\longmapsto 3\times 6[/tex]
[tex]\\ \sf\longmapsto 18[/tex]
Options B and C
Jonathan has 1 3/14 hours to practice guitar. If he spends 1/8 hours on each song, how many songs can he practice
Answer:
Step-by-step explanation:
1 3/14 divided by 1/8
17/14x8
17x4/7
68/7
9 5/7
Complete the similarity statement for the two triangles shown.
Enter your answer in the box.
△ABC∼△ =
helppppp pleaseeee ill literally do anything!!!!!!!!!!!!!!!
Answer:
33ft^2
Explanation:
surface area of square pyramid equation: [tex]A = a^2 + 2a\sqrt{\frac{a^2}{4} +h}[/tex]
A = 34.63, so none of the answers shown are really it.
Please help asap show work to
Answer:
[tex]{ \rm{V(x) = 4x {(10 - x)}^{2} }} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 2(10 - x))}} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 20 - 2x) }} \\ \\ { \rm{ \frac{dv}{dx} = 4(100 - 20x + {x}^{2} ) + ( - 80x - 8 {x}^{2} ) }} \\ \\ { \rm{ \frac{dv}{dx} = - 4 {x}^{2} - 160x + 400}}[/tex]
• But at maximum volume, dv/dx is 20 square inches.
[tex]{ \rm{ - 4 {x}^{2} - 160x + 400 =2 0}} \\ \\ { \rm{ {x}^{2} + 40x - 95 = 0}}[/tex]
• Using the quadratic formula:
[tex]{ \underline{ \rm{ \: \: x \approx3\: \: squares \: \: }}}[/tex]
• Therefore,
For maximum volume,
[tex]{ \rm{V(x) = 4x(10 - x) {}^{2} }} \\ \\ { \rm{V(3) = (4 \times 3)(10 - 3) {}^{2} }} \\ \\ { \rm{V(3) = 12 \times 49}} \\ \\ { \boxed{ \rm{V = 588 \: {in}^{3} }}}[/tex]
help Perform the indicated operation.
(-7) · (-5)
-12
-35
12
35
35
Step-by-step explanation:(-7) • (-5)
= 7 • 5
= 7 + 7 + 7 + 7 + 7
= 14 + 7 + 7 + 7
= 21 + 7 + 7
= 28 + 7
= 35
[tex] [/tex]
how to solve y=-10x+3?
9514 1404 393
Answer:
top down: 13, 3, -7, -47
Step-by-step explanation:
You evaluate any equation by putting the numbers in place of the corresponding variables and following the rules of arithmetic.
For x = -1, put -1 where x is and do the math.
y = -10(-1) +3 = 10 +3 = 13
For x = 0, put 0 where x is and do the math.
y = -10(0) +3 = 0 +3 = 3
For x = 1, put 1 where x is and do the math.
y = -10(1) +3 = -10 +3 = -7
For x = 5, put 5 where x is and do the math.
y = -10(5) +3 = -50 +3 = -47
The table values are 13, 3, -7, -47.
Find the difference and express your answer in scientific notation.
(8.9 x 10^-6) - (6.7 x 10^-8)
Difference:
How much greater is [tex]8.9*10^8[/tex] than [tex]1.6*10^6[/tex]? Express your answer using either standard notation or scientific notation.
[tex]8.9*10^8 - 1.6*10^6[/tex]
[tex]890,000,000-1,600,000[/tex] Convert to standard notation
[tex]888,400,000[/tex] Standard Notation
[tex]8.884*10^8[/tex] Scientific Notation
ABC, Construct a triangle ABC, <B =90° AB= 4cm AC=5cm. Find the third side.
Helpppp
Pythagoras Theorem
BC = 3 cm
Step by step explanation :
» Attached «
What are the values of x and y?
(9x - 19y)
(5x - 17)
(3x + 3)º
X =
y =
Answer: x = 10 and y = 3
Step-by-step explanation:
Due to the x rule, (5x - 17) = (3x + 3)
If we add 17 to both sides:
5x = 3x + 20
Take away 3x from both sides
2x = 20
Divide by 2:
X = 10
This means that (5x - 17) = (3x + 3) = 33
Since all angles must add to 360, the top angle = (360- (33*2)) /2
(360-66) /2
294 /2
147
This shows that 9x - 19y = 147
90 - 19y = 147
Minus 90 both sides
19y = 57
Y = 3
So, x = 10 and y = 3
what is % 12 of 104?
Answer:
12.48 is the answer
Step-by-step explanation:
have a great day
Answer:
12.48
Step-by-step explanation:
104×12=1248
1248 count to decimals
12.48
The rectangle below has sides measuring 6cm and 5 cm. What is the area of this rectangle
Answer:30 cm
Step-by-step explanation:
Area is found by two side lengths multiplied together, the two side lengths in the problem are 5cm and 6cm, 5 times 6 is 30, (plus add the measurement) which is 30 cm. :))
The area of the rectangle which has sides that measures 6cm and 5cm is 30 cm²
How to calculate the area of the rectangle?The rectangle has two sides that measures 6cm and 5cm respectively
The formula for calculating the area of a rectangle is length multiplied by width
The area of the rectangle can be calculated as follows
= 6 × 5
= 30 cm²
Hence the area of the rectangle is 30 cm²
Read more on rectangle here
https://brainly.com/question/29095345
#SPJ3
Micah is saving to buy a new guitar and every month is putting $45 from his paycheck into his savings
account. He has already saved $120. How many more months will it take before he has enough to buy
the guitar if it costs $415?
Answer:
6.5555 months
Step-by-step explanation:
$415-$120= $295
Micah will need $295 from his paycheck earnings to be able to afford the guitar.
$295/$45= 6.5555months
Which statement BEST expresses a connection between gravity and friction? A. Gravity and friction work together to provide the strong, opposing force that slows a snowboarder's ride. B. Gravity and friction are connected as they are the only two factors influencing speed when snowboarding. C. Gravity and friction are opposing forces; gravity holds a snowboarder in place while friction pulls a snowboarder down. D. Gravity and friction result in successful snowboarding after the transference of gravity into energy and a lubricating water layer produced by friction.
Answer:
D
Step-by-step explanation:
I had this question on a test and D was right
it's worded the exact same way
Answer:
a.
providing a force to propel the snowboarder down a slope to gain speed
The guy above me is a fool
Step-by-step explanation:
Simplify these expressions
а) xxxxx
b) ухухухуху
[tex]a) \: x \times x \times x = x {}^{3} \\ b) \: y \times y \times y \times y \times y = y {}^{5} [/tex]
Answer:
a) x³
b) [tex]y^{5}[/tex]
NO LINKS OR ASSESSMENT!!
Write a rule to describe each transformation #9 & #11
Answer:
Step-by-step explanation:
Remark
I really don't know what to write to these questions. I can never tell what the problem is. Perhaps it is right at the very beginning. You have to recognize what is taking place. In problem 9, the easiest point to follow is H going to H'. Do you see what is happening? H is sitting on the x axis and then something happens to it and behold, it is now sitting on the y axis. So it has rotated 90 degrees but which way?
Take your finger or a pencil and put it on H. Then make a circular motion to get to H'. You are going clockwise. (keep going in that direction till you wind up where you started. You are going in the direction of one of those old fashioned clocks. Now the trick in a rotation is if you can figure out what one point is doing, you know what all points are doing on the given figure.
So the translation is 90 degrees clockwise. That means the following rule must be operating
(x,y) ===> (y, - x)
H(-3,0) ===> H'(0, - - 3) = H'(0,3)
I(-2,1) =====>I'(1, - - 2) = H'(1,2)
J(0,1) =====>J'(1,0)
G(-3,-3)====>G'(-3, --3) = G'(-3,3)
11
At first you may think that this is a translation of some kind. I thought so at first. D and D' certainly look that way and C and C' also look that way. But B and E are not well behaved. You are looking at a 180 degree rotation
The rule you need here is (x,y) becomes (-x , - y)
I'll leave C and D to you and do one of the B and E
E(3,5)=E'(-3 , - 5)
9514 1404 393
Answer:
9) (x, y) ⇒ (y, -x) . . . . rotation 90° CW
11) (x, y) ⇒ (-x, -y) . . . rotation 180°
Step-by-step explanation:
9) Distance from the origin to an image point is the same as to the preimage point, but the direction is changed by 90° in the CW direction. For example, J is north of the origin, but J' is east, a direction change of 90° CW.
The transformation describing a 90° CW rotation is the rule ...
(x, y) ⇒ (y, -x)
__
11) Distance and direction to each image point from the origin are equal and opposite of distance and direction to the preimage point. The figure has been rotated 180°. The corresponding rule is ...
(x, y) ⇒ (-x, -y)
8.618 divided by 0.695
Answer:
8.618 divided by 0.695= 12.4
hope this helps <3
Graph the ordered pair solutions of y = |x+2| when x = -5, -3, 0, 3, and 5
d
18. Emily is encouraged to read more than 4 hours each
week. It takes her 45 minutes to finish her first book.
She divides the remainder of the time equally amongst
the other six days. What is the minimum number of
minutes she should read each day?
Answer:
I think the answer is 67.5. Hope this helps! :)
Fill in the blank . If the graph of an exponential function is increasing from left to right it is called exponential
Answer:
growth
Step-by-step explanation:
HELP!! ASAP
A graphic designer makes a sketch for an image that will appear on a poster. The width of the sketch is 14 in. She figures that it should be enlarged to 220% to make the final image. How wide will the final image be?
Answer:
220
Step-by-step explanation: