The probability that a car chosen at random will need no repairs = 72%; no more than one repair = 91%; some repairs = 9%
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.
28% of all vehicles will require some sort of repair; of these, 19% will require one repair, 7% will require two repairs, and 2% will require more than two repairs.
The number of vehicles that would not require any form of repairs is equal to the entire number of vehicles less the proportion that requires repairs; for example, 100% - 28% = 72%. The total number of automobiles minus the percentage that require more than one repair equals the percentage of vehicles that will require no repairs or just one
; hence, 100% - (7% + 2%) = 91%. The total number of vehicles in need of repairs is equal to the product of those with two repairs and those with three or more.
the probability that a car chosen at random will need no repairs = 72%; no more than one repair = 91%; some repairs = 9%
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What are the top 5 formulas in math?
According to the use and the fundamental knowledge behind these formulas, The top 5 formulas in mathematics are quadratic, Pythagorean , slope-intercept , exponential and Euler's Formula.
What is mathematics?Mathematics is the study of numbers, shapes, and patterns. It is the science of studying the properties and relationships of quantities and shapes using logic, symbols and mathematical operations. It is a way of understanding the world and solving problems using quantitative reasoning.
What do you mean by formula?A mathematical formula is a set of symbols, numbers and mathematical operations that express a relationship or equation. These formulas are used to model, describe and explain phenomena in the natural and physical world, as well as in abstract mathematical theories. Formulas can take many forms, including equations, identities, and inequalities. They allow us to make predictions and calculations, and can be used in various fields of science, engineering and other fields to solve problems.
1. root of [tex]ax^2+bx+c[/tex] is [tex]x= \frac {-b+- \sqrt{b^2-4ac}}{2a}[/tex].
2.[tex]h^2 = p^2 +b^2[/tex]
3. [tex]y =mx+c[/tex]
4.[tex]e^x[/tex]
5.[tex]e^{ix} = cosx+isinx[/tex]
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A loan of $9,000 has an annual simple interest rate of 3.5%. What would be the simple interest rate if a loan of $9,000 that is repaid in 6 years has a total cost of $11,052?
Answer: 3.8%
Step-by-step explanation:
First find the interest cost:
= Amount repaid - Amount borrowed
= 11,052 - 9,000
= $2,052
This cost is the simple interest and because it is the same figure per year, the annual simple interest can be determined by dividing the above by the number of years:
= 2,052 / 6
= $342
Now that we have the simple interest amount, divide it by the amount borrowed to find the rate:
= 342 / 9,000
= 3.8%
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
2a+b=15.7 is the formula used to get the base's length and b has a value of 3.
What is an isosceles triangle?Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and Skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
An isosceles triangle has 2 equal sides that are longer than the length of the base
perimiter=15.7
equation is 2a+b=15.7
so if the longer side is 6.3
we know that identical sides are bigger so 6.3 is one of the identical sides
2a means the 2 identical sides
2(6.3) + b = 15.7
12.6 + b = 15.7
subtract 12.6 from both sides
b = 3.1
therefore, The equation used to find the length of the base is 2a+b=15.7
and the value of b is 3.1
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Answer:
12.6 + b = 15.7
solve for y
1/8y-2/3=5.5
Answer:
y = 49 1/3
Step-by-step explanation:
1/8y-2/3=5.5
1/8y = 5.5 + 2/3
multiply both sides by 8:
y = 8(5.5 + 2/3) = 44 + 16/3 = 44 + 5 1/3 = 49 1/3
h(x)=x 2 −1h, left parenthesis, x, right parenthesis, equals, x, squared, minus, 1 Over which interval does hhh have a negative average rate of change?
The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
Given expression,
h(x) = x² - 1
Since the above expression is of parabola, which has a decreasing curve from (-∞, o), simultaneously the function shows the negative rate of change until the function is decreasing, So the required interval for which the function shows the negative rate of change is (-∞, 0).
Thus, The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.
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Three workers are digging a hole. They work one by one, and every single of them works exactly
the amount of time it would have taken the other two to complete the digging of the entire hole.
They finish digging the hole by taking one turn each. How many times faster would they have
digged the hole if they worked together?
(A) 2.5 (B) 3 (C) 3.5 (D) 4 (E) 5
The work would be finished 3 times faster if they had been doing the work at the same time. The correct option is B.
Rate of doing workAssumption;
Provided each one of the workers works for an hour which is equivalent to the time it takes to finish the hole.
In essence, the total time required to finish the ditch by 2 workers is; 2 hours.
Hence, for 3 workers working simultaneously, the time required is
1hour = 60 minutes
However, since they took 1 hour turns on the job, it follows that; The total time used is;
Total time = 3 × 1hr = 3 hours = 180 hours
Hence they could have finished the work in;
R = 180/60 times faster =3 times faster.
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giving 100 pts/ brainliest!! please help this is due in 20 minutes
Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
What is the system that models this situation?
Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? Show your work.
Answer:
p + m = 5, p + 0.2m = 0.6(5)2.5 lb peanuts; 2.5 lb almond mixStep-by-step explanation:
You have peanuts and an 80-20 almond-peanut mix, and you want to know how many pound of each are needed for 5 lb of a 60% peanut mix.
System of equationsThe system of equations relating the pounds of peanuts (p) and the pounds of almond mix (m) will describe the total mixture weight, and the weight of the peanuts.
p + m = 5 . . . . . . total mixture weight is 5 lb
p + 0.20m = 0.60(5) . . . . . weight of peanuts in the 60% peanut mix
SolutionWe can subtract the second equation from the first to eliminate the variable p:
(p +m) -(p +.2m) = (5) -(.6)(5)
0.8m = 0.4(5) . . . simplify
m = 2.5 . . . . . . . . divide by 0.8
p = 5 -m = 2.5
The solution to the system is 2.5 lb peanuts and 2.5 lb mixture.
The bill is 42 dollars, taxes is 9%, and the tip given is 18%. What's the Total?
The total cost of the bill that sells for $42 is $54.0204
How to determine the total cost of the bill?From the question, we have the following parameters that can be used in our computation:
Cost of the bill = $42
Sales tax = 9%
Tip = 18%
The total cost of the bill that sells for $42 is then calculated as
Total cost = Selling price * (1 + Sales tax) * (1 + tip)
Substitute the known values in the above equation, so, we have the following representation
Total cost = 42 * (1 + 9%) * (1 + 18%)
Evaluate
Total cost = $54.0204
Hence, the total cost is $54.0204
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5x6+78-12
help please
Answer:
96
Step-by-step explanation:
5 x 6 = 30
78 - 12 = 66
5 x 6 + 78 - 12
= 30 + 66
= 96
Answer:96
Step-by-step explanation:
A bedroom (14 ft by 12 ft) and hallway (9 ft by 3 ft) are getting new wood flooring. Wood flooring is priced at $6.00 per square foot. How much will it cost to add the wood flooring? It will cost $for the flooring.
Answer:
about 20 feet
Step-by-step explanation:
Answer:
$1170
Step-by-step explanation:
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. What may be true
B. What must be true
C. None of these
D. What may be false
k
The correct option is B.Because when i use deduction and start from a given set of rules and condition is what must be true.If you analyze it to be true then it must be definitely true.
What is deduction in math?Deduction is a conclusion from something known or assumed. This is the type of reasoning we use in almost every step in a mathematical argument. For example to solve 2x = 6 for x we divide both sides by 2 to get 2x/2 = 6/2 or x = 3.
What is deduction rule in logic?In mathematical logic a deduction theorem is that justifies doing conditional proofs—to prove an implication A → B, assume A as an hypothesis and then proceed to derive B—in systems that do not have an explicit inference rule for this.
Now we able to know
Deduction is a term used to known as validated principle.This is when you analyze points through logic from a given set of rules and condition.
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Find the x value of x. If necessary round to the nearest tenth. A=49sq.in.
Answer:
[tex]9.9 ~in[/tex] ✔︎
Step-by-step explanation:
[tex]A=1/2 ~ base * height[/tex]
[tex]49=1/2(x)(c)[/tex]
[tex]98=x^2[/tex]
[tex]x=\sqrt{98}[/tex]
[tex]x=7\sqrt{2}[/tex]
[tex]x=9.9[/tex]
༄❁༄❁༄❁༄❁༄
hope it helps...
have a great day!!
What is the first month in which the board will see the cumulative total number of cars shipped to Japan exceeded the cumulative total in Vietnam
The cumulative total in Vietnam j(n) is 23(n-1),cumulative takes into account all data up to the present. In month four, j(n) will be worth more than v(n).
Is the sum the same as the total?The distinction between total and cumulative is that total refers to the entirety of something, whereas cumulative takes into account all data up to the present.
When a new number is added to a series of numbers, the running total is updated by adding the new number's value to the previous running total. Partially sum is another name for it. Running totals serve two distinct objectives.
We take it for granted that you mean that vehicles delivered to Vietnam should be modeled by v(n) = 5 + 11 and those sent to Japan by j(n) = 23(n-1).
In month four, j(n) will be worth more than v(n).
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Jeremy is going on rides at a carnival he starts the rides a 12:30 by 12:45 he had gone on 1/5 of the carnival rides at the rate how many hours will it take him to go on all the rides at the carnival
PLS answer i need it fast!
Answer:
1.25 hours or 1 hour and 15 minutes
Step-by-step explanation:
12:45 - 12:30 = :15
15 minutes equates to 1/5 of the rides
So, we multiply 15 by 5 to find the total time taken to ride all the rides.
15 x 5 = 75
75/60 = 1.25
It would take him 1.25 hours to ride all the rides at the carnival or 1 hour and 15 minutes.
Factor.
2x² - 5xy - 3y^2
Answer:
2x² - 5xy - 3y²= (2x+y)(x-3y)
can i have brainliest please
Use the table to convert the following unit length as indicated. Choose the right answer.
1,000 yards to kilometers
1000 yards in kilometers will be 0.9 km.
The yard is a United States customary measurement. In this form of measurement, we have yards, feet, and inches.
1 Yard = 3 feet.
1 foot = 12 inches.
Here we are given 1000 yards,
1000 yards = 3 X 1000 feet
= 3000 feet
= 36000 inches.
Now, converting this to the metric measures we know that
1 inch = 2.5 cm
Hence, 36000 inches = 90000 cm.
1 cm = 1/100 m
Hence, 90000 cm = 90000/100 m
= 900 m
1 m = 1/1000 km
Hence, 900 m = 900/1000 km
= 0.9 km
Hence, 1000 yeard = 0.9 km.
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A circular flower garden has a diameter of 16 feet. At the center of the garden is a circular pool 5 feet in diameter. If a coin is tossed at random into the garden, what is the probability that the coin will land in the pool.
Answer:
0.0977
Step-by-step explanation:
From the question,
A = πR²...................... Equation 1
Where A = Area of the circular flower garden, R = Radius of the circular flower garden.
Also,
A' = πr²..................... Equation 2
Where A' = Area of the circular pool, r = radius of the circular pool.
If a coin is tossed at random into the garden, the probability that the coin will land in the pool is
Pr = Area of the pool(A')/Area of the garden(A)
Pr = A'/A....................... Equation 3
Substituting equation 1 and 2 into equation 3
Pr = πr²/πR².
Pr = r²/R².................... Equatio 4
Given: R = 16/2 = 8 feet, r = 5/2 = 2.5 feet.
Substitute these values into equation 4
Pr = 2.5²/8²
Pr = 6.25/64
Pr = 0.0977
HELP PLEASE!!!
b) What if you triple the diameter of a circle. What happens to the area?
Explain using examples.
Easy Points !!✅
Casey’s starting balance was $922.36. He had $256.71 in deposits and $1,317.24 in debits. What is his ending balance ?
Since starting balance is $922.36 and she deposits $256.71 and then debits $1317.24. Ending Balance will be 922.36+256.71-1317.24=$138.17 in debt.
Deposits? What do you mean?You make a deposit when you add money to your bank account. To build savings and earn interest, you should put money in a bank. For money you can withdraw at any time, a demand deposit is made. A time deposit is an investment for the long term. When you take out a loan, you might also pay a deposit as collateral.
Debit and credit mean what?In double-entry bookkeeping, debits and credits are entries made in account ledgers to record value changes brought on by business transactions. A credit entry represents a value transfer from the account, whereas a debit entry represents a transfer of value to the account.
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What is the solution of the system of equations y =- 2x 8 y x 4?
The solution of the system of equations y =0 x=4
To solve the system of equations, we must set the two equations equal to each other and solve for x.
y = -2x + 8
y = x - 4
We start by subtracting the second equation from the first equation.
-2x + 8 = (x - 4)
We then add 4 to both sides of the equation.
-2x + 12 = x
We then subtract 12 from both sides of the equation.
-3x = -12
Finally, we divide both sides of the equation by -3.
x = 4
Now that we have solved for x, we can substitute 6 for x in either equation and solve for y.
y = -2(4) + 8
y = -8 + 8
y = 0
Therefore, the solution of the system of equations is (4, 0).
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The complete question:What is the solution of the system of equations y= -2x + 8 and y = x - 4?
Which is a possible benefit of having a good credit history?
Answer:
When you have a good credit score, you're more likely to meet lending approval guidelines and borrow money when you need it most, explains McClary. This can help if you're ever in a pinch and need to open a credit card. You're more likely to qualify for a 0% APR card like the Citi Simplicity® Card.
Is the Z or Y axis vertical?
Answer:
yes!
Step-by-step explanation:
the y axis vertical, and the x axis is horizontal!
write days in May to days in a year as a ratio.
Answer:
Step-by-step explanation:
Days in may = 31
Days in a year = 365
therefore, expected ratio = 31/365
3.
Which expression is equivalent to 0?
A. O a+(-a)
B.O a-(-a)
C. (a)(-a)
D.
A reading teacher recorded the number of pages read in an hour by each of her
students. The numbers are shown below.
44, 49, 39, 43, 50, 44, 45, 49, 51
For this data, which summary statistic is NOT correct?
1.The minimum is 39.
2.The median is 45.
3.The lower quartile is 44.
4.The maximum is 51.
What is the value of the expression below if
x = -5, h = -5, and y = -3.
3-h(x+4)-2y
Answer:
4
Step-by-step explanation:
3 - h(x + 4) -2y Substitute in what was given.
3 -(-5)(-5+4)-2(-3)
3 + 5(-1) + 6
3-5+6
-2+6
4
Answer:
3-(-5)(-5+4)-2(-3)
3+5(-1)+6
3-5+6
-2+6
4
can someone please help with this question i’ve been stuck on it for an hour thanks
Answer:
110° and 215°
Step-by-step explanation:
to measure the bearing from one point to another
the bearing is measured clockwise from a north line.
(a)
clockwise from the north line N at C to D is 110°
(b)
clockwise from the north line N at C to D is 215°
Sarah and Bryan went shopping and spent a total of $47.50. Bryan spent $15.50 less than Sarah spent. How much did Bryan spend?
Please help fast
a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second. The height h, in feet, of the rock t seconds after it was thrown can be modeled by the function h(t)=-16t^2 +96t+40. Find the height of rock 4 seconds after it was thrown.
The height of rock 4 seconds after it was thrown is 168 ft.
What is speed?Speed is measured as distance moved over time.
Speed = Distance/ Time.
Here, given that,
we have
a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second.
The height h, in feet, of the rock
t seconds after it was thrown can be modeled by the function
h(t)=-16t^2 +96t+40.
where
h -----> is the height in feet of the rock
t -----> the time in seconds
For , t=4, we get,
substitute the value of t in the function and find the value of h
h(4)=-16×4^2 +96×4+40.
So, h= 168
Hence, the height of rock 4 seconds after it was thrown is 168 ft.
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Mr. Petrov was trying to choose between two different plans for dollhouses for his daughter.
Both dollhouses have a rectangular prism base with a length of 6 inches, width of 6 inches, and height of 5 inches. Dollhouse 1 has a triangular prism top. The triangular base has a base of 6 inches and height of 4 inches. The prism has a height of 6 inches. Dollhouse 2 has a square pyramid top with a base of 6 inches by 6 inches and height of 4 inches.
Which statements are true about the dollhouses? Select three options.
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.
Answer:
Step-by-step explanation:
A B D
Answer:
Its A,B,D
i got them right on the quiz :)))