Answer:
0.7295
Step-by-step explanation:
Given that :
Mean rate of lost time accident = 0.3 per day
probability that the number of lost-time accidents occurring over a period of 9 days will be no more than 3?
n = 9
Using binomial distribution formula :
P(x ≤3)
Probability of success (p) = 0.3
1 - p = 1- 0.3 = 0.7
nCx * p^x * (1 - p)^(n-x)
Using the binomial probability distribution calculator to save computation time :
P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)
P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668
P(x ≤3) = 0.7295
Probabilities are used to determine the chances of events.
The probability that accidents occur no more than 3 days in 9 days is 0.7296
The given parameters are:
[tex]p = 0.3[/tex] --- the probability that an accident occurs
The probability that an accident does not occur (q) is then calculated using the following complement rule
[tex]q= 1 - p[/tex]
[tex]q= 1 - 0.3[/tex]
[tex]q= 0.7[/tex]
The probability that accidents occur no more than 3 days in 9 days is
[tex]P(x \le 3) = P(0) + P(1) + P(2) + P(3)[/tex]
Each probability is calculated using:
[tex]P = ^nC_rp^rq^{n-r}[/tex]
So, we have:
[tex]P(x \le 3) = ^9C_0(0.3)^0(0.7)^9 +^9C_1(0.3)^1(0.7)^8 + ^9C_2(0.3)^2(0.7)^7 + ^9C_3(0.3)^3(0.7)^6[/tex]
This gives
[tex]P(x \le 3) = 0.0403 + 0.1556 + 0.2668 + 0.2669[/tex]
[tex]P(x \le 3) = 0.7296[/tex]
Hence, the probability that accidents occur no more than 3 days in 9 days is 0.7296
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Sara made a scale model of the Eiffel Tower in France. The actual height of the tower is 1063 feet. Sara's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Sara's model?
Answer:
Look for the bolded words ;'D
Step-by-step explanation:
The proportion setup would be 1/100=x/1063, since youre missing the inches from the actual model. By cross multiplying the equation to get 100x=1063, you'll now need to divide both sides of the equation by 100. This will get you 1063/100 inches, or you can get 10.63 inches by dividing 1063 by 100. You can also get 10 9/25 inches if you simplify the improper fraction...
....lol sorry for taking so long, but have a good day! :'D
a car travels 10 kilometers per hour faster than a truck .the car goes 600 kilometers in 5 hours less time than it takes thetruck to travel the same distance.find the rate of each vehicle in kilometers per hour
Answer:
60 km/h
Step-by-step explanation:
Your welcome :)
At a factory the basic week is 40 hours. During a particular week Mr. Ali earned a gross wage of $491.15, but $156.75 was overtime.Calculate Mr. Ali's basic rate of payment If overtime was paid for at time-and-a-quarter, find how many hours
Answer:
Mr. Ali worked for 55 hours.
Step-by-step explanation:
Basic working hours = 40 hours
Total gross wages = $490.15
Overtime wages = $156.75
Total wages as per basic week = Total Gross wages - Overtime wages
Total wages as per basic week = $490.15 - $156.75 = $334.4
Let wages for basic hours = [tex]\$x[/tex]
[tex]40\times x = \$334.4\\\Rightarrow x = \bold{\$8.36}[/tex]
Let the number of overtime hours = [tex]y[/tex] hours.
Given that the wages for overtime are paid for at time-and-a-quarter.
As per question statement:
[tex]y\times 8.36\times \dfrac{5}{4} = $156.75\\\Rightarrow y = \bold{15\ hours}[/tex]
Total number of hours worked by Mr. Ali = 40 + 15 = 55 hours
the zamboni will resurface 270 square meters of ice per minute. How long will it take to resurface a rink that's 80 meters long and 70 meters wide.
Answer:The remaining area to cover is
.9 * (25m * 40m)
Step-by-step explanation:
what is the slope of the line that runs through the 2 points?
(8,10)(-7, 14)
A.15/4
B. -15,4
C. 4/15
D. -4/15
Answer:
it's B let me know if I'm wrong
Please help for 18 points I am stuck . Thank you.
Aiden checks out a 300-page book from the library. Before leaving the library, he reads 30 pages. The table shows the hours Aiden spends on reading the
rest of the book
Hours
0
270
1
225
2
180
3
135
6
0
Pages Left
90
45
At what rate does Aiden read the remaining pages of the book
45 pages per hour
30 pages per hour
70 pages per hour
25 pages per hour
Answer:
45 pages per hour
Step-by-step explanation:
have a great dayyyyy
Which expression is equivalent to 5(w+4) when w=9?
O 5(9)
O 9(5)
O 5(9)+4
O 5(9) +20
Answer:
5(9)+20
Step-by-step explanation:
5(9+4) can be expanded to get 5(9)+5(4). And 5(4)=20.
Answer:
Option D
Step-by-step explanation:
This will seem weird but all you are is doing distrubitive property.
Replace w with nine and you have this.
Step 1 (Replace/Substitute)
5(9 + 4)
5(9) + 20
We distribute the five to the numbers in the parentheses. Or we multiply 5 to the other numbers within the parentheses.
Thus, D is your answer.
Make a conjecture about the next item in the sequence 6, 18, 19, 57, 58
Answer:
Continuing from 58: 174, 175
Step-by-step explanation:
The pattern is multiply by 3, and add 1. 6 x 3 = 18, and 18 + 1 = 19. same pattern works for 19 times 3, and 57 times 1. 57 times 3 is 174, then add the 1 to get 175
Two math students were asked to write an exponential growth equation that had a starting value of 300 and a growth rate of 2%. Pierre thinks the answer is y= 300 (1.02)x and Scott thinks that the answer is y= 300 (1.2)x Are either of them right and why?
Answer:
Pierre is right
Step-by-step explanation:
The correct formula for Exponential growth rate is given as:
y = a( 1 + r) ^t
Where
y = Amount after time t
a = Initial amount
r = Growth rate
t = time
From the question
a = 300
r = 2% = 0.02
Hence, our exponential growth rate =
y = 300( 1 + 0.02)^t
y = 300( 1.02)^t
Therefore, Pierre is right
solve by substitution
x - 2y = 10
1/2x - 2y = 4
Answer:
ypu can do this by using this please vote
3. Functions f, g, and h are defined as follows: f(x) = x + 1, g(x) = x2 +1, and h(x) = x + 1. (a) Find the inverse of function g(x). (b) Find f(h(-2)). (c) Find g(f(3)).
9514 1404 393
Answer:
(a) g^-1(x) = ±√(x -1)
(b) 0
(c) 17
Step-by-step explanation:
(a) The inverse is found by solving for y:
x = g(y)
x = y² +1
x -1 = y² . . . . . . subtract 1
y = ±√(x-1) . . . . take the square root
g^-1(x) = ±√(x -1) . . . . in functional form
Note: the inverse of g(x) is not a function, because it is double-valued.
__
(b) f(h(-2)) = f(-2+1) = f(-1) = f(-1+1)
f(h(-2)) = 0
__
(c) g(f(3)) = g(3+1) = g(4) = 4² +1
g(f(3)) = 17
Find the value of r so the line that passes through (-3,2) and (3,r) has a slope of -1/2
Please Help!!
Step-by-step explanation:
gradient = (y2 - y1)/(x2 - x1)
-1/2 = (r - 2)/(3 - (-3))
-1/2 = (r - 2)/6
-1/2(6) = r - 2
-3 = r - 2
-3 + 2 = r
hence r = -1.
What is the root of the equation 2x + 10 = f(x)?
Answer:
x=-5
Step-by-step explanation:
2x+10=0
2x=-10
x=-5
a force acts in a direction (4,2) moving an object along a straight path from (2,-4) to (10,1). How much work is done by the force?
A. 12 joules
B. 42 joules
C. 48 joules
D. 78 joules
Answer:
42 Joules
Step-by-step explanation:
Edge 2020
Work done by the force is 42 units which is correct option(C)
What is Work done?The work done by a force in moving along a vector that is the product of their.
Let the the object move from P(2,-4) to Q(10,1)
Here, the position vectors
[tex]\vec{p}[/tex] = [tex]2\vec {i}+(-4)\vec {j}[/tex], [tex]\vec{q}[/tex] = [tex]10\vec i+\vec{j}[/tex]
Hence [tex]\vec{PQ}[/tex] = [tex]\vec{q}[/tex] -[tex]\vec{p}[/tex] = [tex]10\vec i+\vec{j}[/tex] - [tex]2\vec {i}+(-4)\vec {j}[/tex],
[tex]\vec{PQ}[/tex] = [tex]8\vec i+5\vec{j}[/tex]
Force acts in a direction (4,2)
So [tex]\vec{F}[/tex] = [tex]4\vec i+2\vec{j}[/tex]
∴ Work done = [tex]\vec{F}.\vec{PQ}[/tex] = [tex](4\vec i+2\vec{j})[/tex] [tex].(8\vec i+5\vec{j})[/tex]
Work done = 32+10 =42 units
Hence work done by the force is 42 units
Learn more about Vector
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What is an equation of the line that passes through the points (5, 2) and (-5, 6)?
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)
Help I would greatly appreciate it
Answer:
my biggest tip would be use a percentage calculator
Consider these functions:
f(x)=4x³-10
g(x)=3x-4/2
What Is the value of g(f(2))?
A. -6
B. 2
C. 19
D. 31
Answer:
i'm gonna say that its negitive 6 number one
Step-by-step explanation:
The value of g(f(2)) is 31 which correct option(D).
What is function?The function is defined as mathematics expression defines a relationship between one variable and another variable.
f(x) = 4x³-10
g(x) = 3x-4/2
Substitute value of f(x) in g(x),
[tex]g(f(x)) = \dfrac{3(4x^3-10) - 4}{2}\\g(f(x)) = \dfrac{12x^3-30 - 4}{2}\\g(f(x)) = \dfrac{12x^3-34}{2}[/tex]
g(f(x)) = 6x³-17
Substitute x = 2,
g(f(2)) = 6(2)³-17
g(f(2)) = 6(8)-17
g(f(2)) = 31
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I will mark u as the brainliest I will mark u as the brainiest if u get this correct thx x
Answer:
260
Step-by-step explanation:
The formula is base times height
Answer:
260
Step-by-step explanation:
Base times height so 20 times 13 and it equals 260 hope i helped
a jogger is running home. his distance from home, as a function of time, is modeled by y=-7+8.
Answer:
y=1
Step-by-step explanation:
A number of squares are connected in a row to form a rectangle. The
table shows the relationship between the number of squares, x, and the
perimeter, y, of the rectangles they form. Select all the true statements
about this relation.
Answer:
✅The relation is a function
✅The graph of the function is linear
✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex]
Step-by-step explanation:
✅The relation is a function because each domain (number of squares) has exactly one range (perimeter).
✅The graph of the function is linear because the difference between any two successive y-values gives us the same value of 4.
That is: 12 - 8 = 16 - 12 = 20 - 16 = 4.
✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex], because if we substitute any pair of values (x, y) into the equation, the equation would be true.
For example, using the pair (1, 8), substitute x = 1, and y = 8 in [tex] y = 4x + 4 [/tex].
Thus:
[tex] 8 = 4(1) + 4 [/tex]
[tex] 8 = 8 [/tex] (True).
I will give brainlest
Answer:
-360
Step-by-step explanation:
What is 3/4 divided 1/6?
Answer:
3/4 divided by 1/6 = 4.5
Step-by-step explanation:
I WILL GIVE AWAY 50 POINTS IF YOU GUYS ANSWER THIS RIGHT!!!
PLEASE HELP I NEED THIS RIGHT NOW!
Answer:
Player A, Player D, Player C, Player B
Step-by-step explanation:
Hope I'm Right :)
Answer:
PLayer B player D player C and Player A
Step-by-step explanation:
Find the value of x. ། 23 129
Answer:
45
Step-by-step explanation:
Hope this helped
PLEASE HELP IM ON A TEST
The gasoline mileage for two cars can be compared by finding the distance each car traveled and the amount of gasoline used. The graph shows the distance, y, that car A traveled using x gallons of gasoline. The table shows the distance that car B traveled using x gallons of gasoline.
Based on the information in the table and graph, compare the miles per gallon of car A to car B. Show your work or explain your answer.
Answer:
Car A can travel 25 miles with 1 gallon of gas and car B can travel 20 miles with 1 gallon of gas
Step-by-step explanation:
Based on the graph, you know that car A can travel 50 miles with 2 gallons of gas. To find how many miles it can travel with 1 gallon of gas, you need to divide the number of miles by the number of gallons of gas it uses to get the answer. So you do 50/2=25. That is how many miles it can travel with 1 gallon of gas. Do the same thing with car B. 60/3=20. So car B can travel 20 miles with 1 gallon of gas. You know that car A can travel more because car A can travel 25 miles with 1 gallon of gas while car B can only travel 20 miles with 1 gallon of gas. Car A can travel 5 more miles than car B with 1 gallon of gas.
Hope this helps. :-) Please give brainliest
Answer:
ayyyy
Step-by-step explanation:
(WILL GET 25 POINTS) what is 1 + 1 =?
Answer:
2
Step-by-step explanation:
haha
Does this represent a function?
Due in 6 minutes!!
don't comment if you don't know
find the eximated area of portion of the basketball court shown. Use 3.14 explain and show your work.
Answer:
228
Step-by-step explanation:
Fred needs to rent an office building. He needs 10,000 square feet of space. If Tammy found a building to rent that is 81 feet by 102 feet, is this building large enough to meet Fred’s building needs? Explain your answer.
