A farmer has two tractors. The probability that
tractor 1 will break down is 3% and the
probability that tractor 2 will break down is
5%. What is the probability that both tractors
will break down on a given day? Give your
ansineras
Answers
Step-by-step explanation:
the break down probabilities are for the same given day ? one day ?
if that is so, then the expected value for a break down day for tractor 1 will be 34 days (rounded up 100%/3%), and for tractor 2 20 days (100%/5%).
that would be horrible. a tractor would only work for about a month without major repair.
because normally such probabilities are given for a warranty period like 1 or 3 or 5 years.
but the description does not say anything about that. so, we have to go with the primary assumption.
so, the question is about the probability that both things happen at the same time (the same day).
this is like asking for the probability of rolling a double 6 with two dice - both events (a 6 on a die) have to happen "together". so it is the probability of one event multiplied by the probability of the second event : 1/6 × 1/6 = 1/36
5% = 0.05 (5% is 5 hundredths) = 5/100
3% = 0.03 (3% is 3 hundredths) = 3/100
now both events (break-down of both tractors) happen together means 5/100 × 3/100 = 15/10000 = 0.0015
that means the probability in % is 0.15%
that means in other words, this event (both tractors breaking down on the save day) is expected to happen 15 times in 10000 days, or once every 667 days (or roughly every 2 years).
Related Questions
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS
Answers
Answer:
1
Step-by-step explanation:
it means from Virginia to Florida you will drive more than 7 hours
At 2 pm the temperature was at 18 degrees Fahrenheit. At 10 pm the temperature is -9 degrees Fahrenheit. What is the change in temperature from 2 pm to 10 pm?
Answers
Answer:
27 degrees
Step-by-step explanation:
it was at 18 and then it went down 27 degrees to get to -9 because if you take away the - sign in negative -9, and ad 9 to 18 you will get 27 or just use the calculator to double check your work (what i did) 18-27=-9 and thats what the tempurture went down to in 8 hours
2. Which of the following shows a translation of f(x) two units to the left?
f(x - 2)
f(x)-
f(x + 2)
f(x) + 2
Answers
Answer:
f(x + 2)
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the left of a units
Here f(x) is translated 2 units to the left , then f(x + 2)
What is an equation of the line that passes through the points (-6, -2) and
(-3, 2)?
Answers
Answer:
y = (4/3)x - 2/3
Step-by-step explanation:
From (-6, -2) to (-3, 2) we see the x-component changing by 3 units and the y-component by 4 units. Thus, the slope of this new line is
m = rise / run = 4/3.
Let's focus on the point (-3, 2). Here x = -3 and y = 2. Plugging these three values into the slope-intercept form of the equation of a line, we get:
2 = (4/3)(2) + b.
Then 2 = 8/3 + b, or 6/3 = 8/3 + b. Thus, b = 6/3 - 8/3, or -2/3.
The equation of the desired line is y = (4/3)x - 2/3
Answer:y=4/3x+6
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPP
In a recent year, 34.7% of all registered doctors were female. If there were 48,900 female registered doctors that year, what was the total number of registered doctors?
ROUND YOUR ANSWER TO THE NEAREST WHOLE NUMBER
Answers
Answer:
140922
Step-by-step explanation:
48900/34.7 = 1409.2219
1409.2219 *100 = 140922.19
rounded - 140922
Which system of linear inequalities has the point (2, 1) in its solution set?
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2 On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 2) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 4, negative 2) and (0, 0). Everything below the line is shaded.
Answers
If p is inversely proportional to the square of q, and p is 8 when q is 3, determine p when q is equal to 2.
Answers
Answer:
16/3
Step-by-step explanation:
formula :
p = kq
k = 8/3
so that is k
it will be like this "p = 8/3 x"
p = 8 × 2 / 3
p = 16/3
cant divide 3 with 16.
so, "p = 16/3" is the answer
What is the solution of (sqrt of)1-3x = x+3?
Answers
Answer:
x=-1/2
Step-by-step explanation:
if you need a explanation tell me but I’m in Math class rn
there’s no actual question just this picture & multiple choices , please help .
Answers
Answer:
12
Step-by-step explanation:
There is a right angle formed, hence this triangle is a right-angled triangle.
Using Pythagoras Theorem,
[tex]a^2+b^2=c^2[/tex]
[tex]16^2+b^2=20^2[/tex]
[tex]256+b^2=400[/tex]
[tex]b^2=400-256=144[/tex]
[tex]b=12[/tex]
The missing length is 12
What percentage of businesses are using social media today? 35 percent 50 percent 65 percent 80 percent
Answers
Answer:
80
Step-by-step explanation:
reduce 4/36 to simplest terms
a. 1/8
b. 2/13
c. 1/9
d. 2/12
PLS ANSWER THISS :D
Answers
Answer:
C
Step-by-step explanation:
HCF of 4 and 36 is 4
Divide the numerator and denominator by 4
[tex]\dfrac{4}{36}=\dfrac{4*1}{4*9}=\dfrac{1}{9}[/tex]
5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order. if the median is 17. find the value of k.
Answers
Answer:
k = 7
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle value then the median is the average of the 2 values either side of the middle.
5 , k + 3 , 2k + 1 , 3k - 2 , 26 , 31
↑ middle
Then
[tex]\frac{2k+1+3k-2}{2}[/tex] = 17 ( multiply both sides by 2 to clear the fraction )
5k - 1 = 34 ( add 1 to both sides )
5k = 35 ( divide both sides by 5 )
k = 7
The value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have:
5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order
The median of the data set is 17.
The mid-terms are 2k+1 ,3k-2
(2k + 1 + 3k - 2)/2 = 17
5k -1 = 34
5k = 34 + 1
5k = 35
k = 35/5
k = 7
Thus, the value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
Learn more about the median here:
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I dont understand what to do and what the answer is
Answers
Answer:
-1
Step-by-step explanation:
slope=(y2-y1)/(x2-x1)=(2-4)/(0+2)=-2/2=-1
Answer:
-1
Step-by-step explanation:
[tex]\frac{(4-2)}{(-2-0)}=\frac{2}{-2} \\\frac{2}{-2}= -1[/tex]
Here is what I did to find the slope:
We will use the first two rows
The first row will be x₂ and y₂
The second row will be x₁ and y₁
The equation to find any slope is: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
hi! I need help ! Triangles geometry angles table.
Answers
Answer:
145°
Step-by-step explanation:
[Finding the non-label angled in the triangle] 180° - 75° = 105°
Finding 3: (x = angle 3)
[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180
[combine like terms] 145° + x = 180°
[subtracting 145 from both sides] 35° = x
() We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle
Finding 4: (x = angle 4)
180 - 35 = 145°
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
5^-3/6^-2 Do not Change answer to Decimal Form.
A: 36/125
B: 125/36
C: 5/9
D: 9/5
Answers
[tex]\dfrac{5^{-3}}{6^{-2}}=\dfrac{\left(\dfrac 1{5^3}\right)}{\left(\dfrac 1{6^2}\right)} = \dfrac{1}{5^3} \times 6^2 = \dfrac{36}{125}[/tex]
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answers
Answer:
letter D
thank me later....
help algebra 2 look at all the pictures please multiple choice
Answers
Relation given:-
{(-2,5),(-1,3),(0,-1),(1,-3),(2,-5),(3,-7)}Inverse
{(5,-2),(3,-1),(-1,0),(-3,1),(-5,2),(-7,3)}#2
f(x)=2x-3Let it be y
[tex]\\ \tt\hookrightarrow y=2x-3[/tex]
[tex]\\ \tt\hookrightarrow 2x=y+3[/tex]
[tex]\\ \tt\hookrightarrow x=y+3/2[/tex]
Write in terms of x
[tex]\\ \tt\hookrightarrow f^{-1}(x)=\dfrac{x+3}{2}[/tex]
Help pleaseee giving brainliest !
Answers
Answer:
the answers you chose are correct.
Step-by-step explanation
b and d
Need this question done asap ⏰
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's consider the points (0 , -1) and (1 , 2) to find the slope of given line ~
[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex][tex] \dfrac{2 - ( - 1)}{1 - 0} [/tex][tex] \dfrac{2 + 1}{1} [/tex][tex]3[/tex]I hope it helps ~
Answer:
After looking at the image you posted, I deduced that the correct answer should be slope= 3.
Step-by-step explanation:
I came to this conculsion by using the formule slope= [tex]\frac{rise}{run}[/tex] or [tex]\frac{y-axis}{x-axis}[/tex]
Firstly:
I identified the position of the two points. The first points position being (-1, 0) and the second being (1, 2).
Secondly:
I then found the difference between the two points on the graph to be
(1,3) or (x=1, y=3).
Thus:
The [tex]\frac{rise}{run}[/tex] of the two points is [tex]\frac{y=3}{x=1}[/tex] or 3.
-10x + 2y = 12
What is each equation in slope intercept form
Answers
Answer:
[tex]y = 5\, x + 6[/tex].
Step-by-step explanation:
The slope-intercept equation of a line in a plane should be in the form [tex]y = m\, x + b[/tex] for some constant [tex]m[/tex] ("slope") and constant [tex]b[/tex] ([tex]y[/tex]-"intercept".)
In the slope-intercept equation, [tex]y[/tex] should be the only term on the left-hand side of the equation with a coefficient of [tex]1[/tex]. No term on the right-hand side shall include [tex]y\![/tex].
Rewrite the given equation to obtain the slope-intercept equation of this line.
[tex](10\, x) + (-10\, x) + 2\, y = (10\, x) + 12[/tex] (Add [tex]10\, x[/tex] to both sides of this equation.)
[tex]2\, y = 10\, x + 12[/tex].
[tex]y = 5\, x + 6[/tex]. (Divide both sides by [tex]2[/tex], such that the coefficient of [tex]y[/tex] becomes [tex]1[/tex] as required.)
Therefore, the slope-intercept equation of this line would be [tex]y = 5\, x + 6[/tex], with slope [tex]m = 5[/tex] and [tex]y[/tex]-intercept [tex]b = 6[/tex].
Can you help me I have a basketball game Tuesday and if I don’t pass I can’t play plz !!
Answers
========================================================
Explanation:
Angles A and B are supplementary which mean they combine to form a straight line. This further means the angles add to 180.
A+B = 180
(8x-27) + (4x+3) = 180
(8x+4x) + (-27+3) = 180
12x-24 = 180
12x = 180+24
12x = 204
x = 204/12
x = 17
Use this x value to find angles A and B
A = 8x-27 = 8*17-27 = 109B = 4x+3 = 4*17+3 = 71Note how A+B = 109+71 = 180 to help verify the answer.
Answer:
109
Step-by-step explanation:
supplementary angles equals 180 degrees
8x-27+4x+3=180
12x-24=180
12x=204
x=17
Then you put the 17 where the x is
8(17)-27=109
Josh is painting all the walls in his room that is 3m x 4m and 2.75m high, How much paint in square feet is needed?
Answers
Answer:
33
Step-by-step explanation:
3*4*2.75=33
please answer the question fast with step by step explanation
Answers
What is the length of the diagonal of the square shown below?
5
45°
5
5
90°
5
A. V5
B. 5
C. 55
D. /10
E. 52
F. 25
Answers
Answer:
E
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the diagonal ( hypotenuse ) be d , then
d² = 5² + 5² = 25 + 25 = 50 ( take square root of both sides )
d = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex] → E
Nikola buys a bouquet of 8 sunflowers for $18
what is the cost for 1 sunflower?
Answers
A robot can complete 5 tasks in 34 hour.
Each task takes the same amount of time.
**Round to the hundredths place.
a. How long does it take the robot to
complete one task?
3/4 divided by 5 = 3/4, so it’s 3/4 hours per task
Answers
Answer:
6.8h
Step-by-step explanation:
5 tasks in 34h
So 1 task is taking 34/5 h
34/5 = 6.8h
1 task is taking 6.8h to complete
help me plz math is hard
Answers
Gina needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off 1 1/2 feet from one end of the board. She then cuts the remaining section of board into 3 equal pieces.
Which equation can be used to determine the the length of each equal piece?
Answers
Answer:
3x+1 1/2=10
Step-by-step explanation:
k12
The solution is Option B.
The equation used to determine the length of each piece of board is given by 3x + 1 1/2 = 10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total length of the board Gina has is = 10 feet
The first piece of length cut from the board is = 1 1/2 feet
So , the remaining piece of board = total length of the board Gina has - length cut from the board
And the equation is
The remaining piece of board = 10 - 1 1/2
Let the remaining piece of board be A
The remaining piece of board is cut into 3 equal pieces
Let the one remaining piece of board be = x
So , the three remaining pieces of board = 3x
Now , the equation will be
The remaining 3 pieces of board 3x = remaining piece of board
So , substituting the values in the equation , we get
3x = 10 - 1 1/2
Adding 1 1/2 on both sides of the equation , we get
3x + 1 1/2 = 10
Therefore , the equation is 3x + 1 1/2 = 10
To learn more about equations click :
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Given that f ( x ) = 3 x − 3 and g ( x ) = 2 x , evaluate g ( g ( − 4 ) )
Answers
Answer:
g(g(- 4)) = - 16
Step-by-step explanation:
Evaluate g(- 4) then substitute the value obtained back into g(x)
g(- 4) = 2(- 4) = - 8 , then
g(- 8) = 2(- 8) = - 16
Solve for m.
13m – 34m + 42m - 22m + 8 = -41
Answers
Answer:
m=14
Correct me if I'm wrong ^•^
Answer:
m = -49
Explanation:
Combine like terms
13m - 34m + 42m - 22m + 8 = -41
-m + 8 = -41
Subtract 8 from both sides of the equation
-m + 8 = -41
-m + 8-8 = -41 -8
Simplify
Subtract the numbers
-m = -49