This question is incomplete, the complete question is;
Suppose that for a particular piece of machinery, the frequency distribution of monthly breakdowns is as follows;
Number of breakdowns prob.
0 0.50
1 0.25
2 0.10
3 0.10
4 0.05
The cost of a breakdown is $2,000, and the cost of a preventive maintenance program is $2,000 per month. If the preventive maintenance program is adopted, the probability of a machine breakdown is negligible. How much better off per month would the firm be if it adopted preventive maintenance
Answer:
the firm will be $100 worse off per month if it adopted preventive maintenance.
Step-by-step explanation:
Given the data in the question;
the probability of breakdown iwill be;
= (0×0.5) + (1×0.25) + (2×0.10) + (3×0.10) +(4×0.05)
= 0 + 0.25 + 0.2 + 0.3 + 0.2 = 0.95 or 95%
Now the cost of machine failure will be;
⇒ 2000 × 0.95= $1900
if they implemented preventive measures, the cost is $2000,
if the preventive measure taken the cost is $2000, the benefit is for $1900, and the output is additional cost of $100.
Therefore the firm will be $100 worse off per month if it adopted preventive maintenance.
8x - 2 + 16
answer this pls
Answer:
8x+14
Step-by-step explanation:
Find the ninth term of the sequence
sprt(5), sprt(10), 2 sprt(5)
Answer:
16sqrt5
Step-by-step explanation:
Notice that the next term is the previous term multiplied by sqrt2.
So we can take sqrt5 and multiply it by sqrt2, 8 times to get the ninth term.
sqrt2 ^8 = 16.
So 16sqrt5
each system of equations by SUBSTI
x + 3y = 9
4x – 2y = -6
Answer:
[tex]\huge\boxed{x=0,\ y=3\to(0;\ 3)}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}x+3y=9&\text{subtract }3y\ \text{from both sides}\\4x-2y=-6\end{array}\right\\\\\left\{\begin{array}{ccc}x=9-3y&(1)\\4x-2y=-6&(2)\end{array}\right[/tex]
Substitute (1) to (2):
[tex]4(9-3y)-2y=-6\qquad|\text{use the distributive property}\\\\(4)(9)+(4)(-3y)-2y=-6\\\\36-12y-2y=-6\qquad|\text{subtract 36 from both sides}\\\\-14y=-42\qquad|\text{divide both sides by (-14)}\\\\y=3[/tex]
Put it to (1):
[tex]x=9-3(3)\\\\x=9-9\\\\x=0[/tex]
7. In a soccer game, Andrew scores 3 fewer goals than Elsie. Elsie scores 9 goals. How many goals did Andrew score?
Complete the bar diagram and write an equation to match the story.
9️⃣
⬜️ 3️⃣
___ ⚪️ ___= ___
Answer:
Step-by-step explanation:
.7. In a soccer game, Andrew scores 3 fewer goals than Elsie. Elsie scores 9 goals. How many goals did Andrew score?
class of 50 students dressed up 38% have white shirts. How many are wearing white shirts?
Step-by-step explanation:
☥ [tex] \underline{ \underline{ \text{Given} }}:[/tex]
Total number of students = 50Percentage of students who are wearing white shirts = 38 %☥ [tex] \underline{ \underline {\sf{To \: find} }}: [/tex]
Total number of students who are wearing white shirts☥ [tex] \underline{ \underline{ \sf{Solution} }} : [/tex]
⟹ [tex]\sf{38\% \: of \: 50} = \frac{38}{100} \times 50 = \boxed{ \sf{19}}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : 19}}}}[/tex]
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An electronic advertising sign repeats a message every 9 seconds, day and night, for a week. How many times did the message appear on the sign
Answer:
75600
Step-by-step explanation:
find times per min (9 times/ 60 sec =7.5)
*60 min
*24 hr
*7 days
The number of times the message repeated is 86400.
It is required to find how many times did the message appear on the sign.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
An electronic advertising sign repeats a message every 9 seconds, day and night, for a week.
We have to find the number of seconds in a week:
T=3600*24*7
=604800 s
Since each message takes 7 seconds, the number of messages is
=604800/7
=86400.
Therefore , the number of times the message repeated is 86400.
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can anyone help me?? thank you!
Answer:
39 is the answer for this
Solve. Draw a rectangular fraction model, and write a number sentence to show your thinking.
1/3 × 1 /3 =
Determine whether each piece of given information alone is sufficient to prove quadrilateral ABCD is parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, consecutive angles are supplementary, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Answer:
Yes it is parallelogram because diagonals bisect each other.
10. A cell phone originally cost $550.79 and was marked up 5%. What is the new cost of the
cell phone?
Answer:
$578.33
Step-by-step explanation:
To get 5% of the original cost you need to multiply by 0.05
550.79 • 0.05 = 27.5395
27.5395 is 5% of 550.79
Since the price is marked up 5% you will need to add 27.5395 to 550.79
550.79 + 27.5395 = 578.3295
Then you will round your answer to 578.33
help please for my assesment
Answer:
[tex]Ratio = 2 : 15[/tex]
Step-by-step explanation:
Given
[tex]Ratio = 8 : 60[/tex]
Required
Write in the simplest form
[tex]Ratio = 8 : 60[/tex]
Divide by 2
[tex]Ratio = 8/2 : 60/2[/tex]
[tex]Ratio = 4 : 30[/tex]
Divide by 2
[tex]Ratio = 4/2 : 30/2[/tex]
[tex]Ratio = 2 : 15[/tex]
The expression cannot be further simplified.
Fala wants to purchase a video game system that costs
$309. She earns $12 for each hour that she works at her
father's hardware store. How many hours will Fala need to
work to earn enough money to purchase the video game
system?
Answer:
26 hours or 25 hours and 45 min
Step-by-step explanation:
309/12= 25.75
Given the ratio 2 green to 4 pink to 3 yellow (2:4:3), in a bag of 27 jellybeans, how many yellow jellybeans are in the bag?
The number of yellow jellybeans will be 9.
It is given that total number of jellybeans in a bag are 27 which are in ratio 2 green to 4 pink to 3 yellow or 2:4:3
We have to calculate the number of yellow jellybeans in the bag.
What will be the ratio of girls , if there are 80 students in a college , out of which 60 are male ?
The ratio of girls will be [tex]\frac{80-60}{80}[/tex] = [tex]\frac{20}{80}[/tex] = [tex]\frac{1}{4}[/tex] or 1:4.
As per the question ,
The ratio of jellybeans in a bag is 2 green to 4 pink to 3 yellow or 2:4:3.
Total number of jellybeans in the bag is 27.
So ,
Let's assume the common factor as x.
No. of green jelly = 2x
No. of pink jelly = 4x
No. of yellow jelly = 3x
We can write this as ;
2x + 4x + 3x = 27
9x = 27
x = 27 ÷ 9
x = 3
So , the number of yellow jellybeans will be ;
= 3 × x
= 3 × 3
= 9
Thus , the number of yellow jellybeans will be 9.
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Daisy is given a scale drawing with the route to her campsite. The route to the campsite is 28 cm on the drawing. The scale on the drawing is 1 : 300. What is the actual length of the route?
Answer:
The actual length of the route is 8400.
Step-by-step explanation:
Given that:
Ratio of scale drawing = 1 : 300
It means that 1 cm on the scale drawing is equal to 300 in actual length.
We have to find the actual distance for 28 cm on the scale drawing.
Let,
x be the actual length of route.
This shows a proportional relationship.
1 : 300 :: 28 : x
Product of extreme = Product of mean
x = 300*28
x = 8400
Hence,
The actual length of the route is 8400.
kerry has 3 quarts of oil for her motorcycle if she uses 2/5 of a quart each week how many weeks will the oil last
Answer:
12 weeks
Step-by-step explanation:
ALGEBRAA!! HELP!!
Wich one is an identity, wich one is an equation, wich one is an expression and wich one is a formula?
3x+4y
3+2=5
A=bh
3x=15
3x+4y. is expression
3+2=5. is an identity
A=bh is a formula
3x=15 is equation
Duncan's Bakery sold one customer 1 dozen chocolate cookies and 10 dozen oatmeal cookies
for $49. The bakery also sold another customer 1 dozen chocolate cookies and 9 dozen
oatmeal cookies for $45. How much do the cookies cost?
A dozen chocolate cookies cost $
and a dozen oatmeal cookies cost $
Answer:
Dozen Oatmeal = $4 and Dozen Chocolate = $9
Step-by-step explanation:
Dozen Oatmeal:
10 dozen oatmeal and 1 dozen chocolate =$49
9 dozen oatmeal and 1 dozen chocolate = $45
The second customer bought 1 less dozen and paid $4 fewer dollars, therefore 1 dozen oatmeal must equal $4
Dozen Chocolate: let C = 1 dozen chocolate
10 dozen oatmeal + 1 dozen chocolate = $49
(10 x $4) + C = $49
$40 + C = $49
-40 -40
C = $9
1 dozen chocolate cookies = $9
What is the slope of the line shown below?
(-1,6)
(2,-3)
o A. 1/3
O B. -1/3
C. -3
D. 3
Answer:
C
[tex]slope = \frac{(y _{2} - y _{1})}{(x _{2} - x _{1}) } \\ = \frac{( - 3 - 6)}{(2 - ( - 1))} \\ = \frac{ - 9}{3} \\ slope = - 3[/tex]
Somebody please help me :(
Answer:
A, C, E
Step-by-step explanation:
Factory M makes 200 screwdrivers per hour.
Factory N makes 100 screwdrivers per hour.
Solve each equation.
7x^2 = 49
ANSWER:
X=
Answer:
x=3.5
Step-by-step explanation:
7(3.5)^2=49
7(7)=49
This statement is true after substituting 3.5 for x.
Answer:
x = [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
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brian has reduced his cholesterol level by 6% after his last check up. if his original level was 180,what is his approximate cholesterol level now
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Old MacDonald had a farm, and on the farm he had 10 pigs8 horses, 12 sheep, and 18 cows. What is the ratio of the number of cows to the number of pigs? (Write your answer as a fraction in simplest form.)
Answer:
18/10=9/5
Step-by-step explanation:
Wrtire 55, 555 expanded form. How does the value of each 5 compare to the value of the 5 to its rights
Answer: ↓↓
Step-by-step explanation:
55,555 = 50,000 + 5,000 + 500 + 50 + 5
50 = 10 × 5
500 = 100 × 5
50,00 = 1000 × 5
50,000 = 10,000 × 5
Hope I helped!
Condense each Logarithm
log 3 – log 8
This diagram represents 3 batches of light yellow paint. Draw a diagram that represents 1 batch of the same shade of light yellow paint. white paint (cups) yellow paint (cups) Show your work here.
Answer: we need 3 cups of white paint and 5 of yellow paint if we want to make 1 batch.
Step-by-step explanation:
I suppose that each one of these squares represents one cup of the given color.
(the white squares represent the cups of white paint and the yellow squares represent the number of cups of yellow paint)
We know that for 3 batches of the paint, we need:
9 cups of white paint.
15 cups of yellow paint.
Now, if we only want to do one batch, then we should use one-third of these numbers of cups. (Because with that we make 3 batches, and one-third of 3 batches is one batch)
Originally, we use 9 cups of white paint, then for one batch we need one-third of 9 cups, this is:
9/3 = 3
Then we should use 3 cups of white paint.
And for the yellow paint, we originally use 15 cups, one-third of 15 is:
15/3 = 5
Then we should use 5 cups of yellow paint.
We can conclude that we need 3 cups of white paint and 5 cups of yellow paint if we want to make 1 batch.
This would be represented with 3 white squares and 5 yellow squares.
Type the correct answer in the box. The area of the figure is _______ square units. 2 units 8 units. 6 units
Answer:
80 square units
Step-by-step explanation:
The area of the figure can be found by decomposing into parts whose area is easy to find, then adding the areas of those parts.
We choose to consider the figure to be composed of two congruent trapezoids and a rectangle.
__
Trapezoid areaEach trapezoid has bases of 6 units and 10 units, and a height of 2 units. Its area will be ...
A = 1/2(b1 +b2)h
A = 1/2(6 +10)(2) = 16 . . . . square units
__
Rectangle areaThe central rectangle has dimensions of 6 units by 8 units. Its area will be ...
A = LW
A = (8)(6) = 48 . . . . square unit
__
Total areaThe total area is the sum of the areas of the two trapezoids and the rectangle:
total area = 2(16) +48 = 80 . . . . square units
Write the sentence as an equation.
37 equals b minus 125 no
Answer:
37=b-125
Step-by-step explanation:
you just convert the words into the symbol
equals =
minus -
A proportion is an equation showing the equivalence of two ratios or rates true or false
given the function f(x)=4-2x: if the domain is -4,0,5 find the range
Answer:
{12, 4, -6}
Step-by-step explanation:
f(x)=4-2x
x = -4
f(-4) = 4 - 2(-4) = 12
x = 0
f(0) = 4 - 2(0) = 4
x = 5
f(5) = 4 - 2(5) = -6
Which of the following options will definitely balance the third scale?
Answer:
I'd say b... But I'm not very confident about it.. Let me know if it's right.