The required problems on probability application are detailed below.
Probability is the study of chance represented as a proper fraction between 0 and 1 .
The manufacturing process of a particular rugby ball consists of two parts, a leather covering and a rubber bladder. The probabilities of defect in the leather covering is 5% and the probability of the rubber bladder is 15% respectively. What is the probability that the assembled Rugby ball will not have any defect.
Let A and B denote the event that a rugby ball is defective due to defects in the leather covering and the rubber bladder respectively.
Then we can say that P(A) = 5 / 100 = 1 / 20 and
P(B) = 15 / 100 = 3 / 20
Therefore P(A') = 1 - 1/20 = 19/20 and P(B') = 1 - 3 / 20 = 17 / 20.
P(A') and P(B') gives us the probabilities that the rugby ball will not have defective parts respectively.
Therefore the probability that the assembled product will not have any defect is:
P(A') × P(B')
[tex]=\frac{19}{20} \times \frac{17}{20}\\\\=\frac{323}{400} \\\\=0.8075[/tex]
Therefore the probability that the rugby ball will not have any defect is 80.75% .
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State the transformations performed on the parent function f(x)
Find the slope of line passing through two points [7, 5] and [7, -5]
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such
as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $49,631, and the variable costs will be $10.25
per book. With the other method, the one-time fixed costs will total $12,209, and the variable costs will be $23.75 per book. For how many books produced will
the costs from the two methods be the same?
Step-by-step explanation:
for both costs to be the same, the sum of the fixed and the variable costs must be the same.
so,
49631 + 10.25x = 12209 + 23.75x
37422 = 13.50x
x = 37422 / 13.5 = 2,772
the costs of both methods will be the same for 2,772 produced books.
Please help!
A model car is for sale online. The owner
discounts the price by 5% each day until it
sells. On the third day the car sells. If the
original price of the model car was $40,
how much did the car sell for? What percent
discount does this represent from the
original price?
Answer: the model car sold for $34, at a 15% discount.
Step-by-step explanation:
first multiply 5% by 3 days, for a total discount of 15%.
then apply the 15% discount to the $40 car, arriving at a price of $34.
Answer:
The car sold for 34 .
Step-by-step explanation:
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Translate the following phrase into a math expression whichever is appropriate use x to represent the unknown number Six less than the quotient of nine and a number
Given,
The phrase is,
Six less than the quotient of nine and a number
Consider, the number is x.
The mathematicsl expression of quotient of nine and a number is,
[tex]\frac{9}{x}[/tex]The mathematical expression of six less than is,
[tex]-6[/tex]Combining both statements then,
[tex]\frac{9}{x}-6[/tex]Hence, the mathematical expession is 9/x -6.
Answer:
9/x -6
Step-by-step explanation:
gilroy drove 12 minutes to gethome from tee time.the grph shows the remaining distnce from his house as a linear function of x,the number of minutes spent driving.find the domain and range ?
PLEASE HELP ASAP
The domain and the range of the function are given as follows:
Domain: 0 ≤ Minutes ≤ 12.Range: 0 ≤ Miles ≤ 10.How to find the domain and the range of a function?The domain of a function is the set that contains all the values assumed by the input of the function. Hence, given the graph of a function, the domain is composed by the values of the horizontal axis.The range of a function is the set that contains all the values assumed by the output of the function. Hence, given the graph of a function, the range is composed by the values of the vertical axis.In the context of this problem, the domain is the time in minutes remaining until Gilroy reaches home, hence it is given by the following interval:
Domain: 0 ≤ Minutes ≤ 12.
The range is given by the distance that he has to drive until he reaches home, hence it is given by the following interval:
Range: 0 ≤ Miles ≤ 10.
What is the missing information?The graph for us to verify the domain and range is missing, and it is given by the image at the end of the answer.
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What is the value of the expression shown below?.
-6 + (-9)
1. -15
2. -3
3. 3
4. 15
Answer:
-15, so option 1: -15
Step-by-step explanation:
We know that adding (-9) is the same as substracting 9.
So -6 + (-9) = -6 - 9 = -15
A boat traveled 240 miles downstream, then 240 miles back upstream. The trip downstream took 20 hours. The trip back upstream took 60 hours. Use this information to fill in the following blanks. Note: Express your answers as integers.
The boat is moving at 2 miles per hour and current is 4 miles per hour.
In calm water, the boat travels at a 2 mph pace.
4 miles per hour is the current's speed.
One such computation is as follows.
Let a be a representation of the boat's speed.
Allow b to be the current's speed.
20(a + b) = 240, according to equation 1.
Equation 2: 60(a + b)
Equation 3: a + b = 12
Equation 4: a - b Equals 4.
Equation 3 and equation 4 combined
(a + b) + (a - b)= 12+4
2x = 16
a= 16/2
a= 8
Calculate equation 4 minus equation 3
(a + b) - (a-b)= 12-4
2b= 8
b= 8/2
b= 4
As a result, the boat is moving at 2 miles per hour, while the current is moving at 4 miles per hour.
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PLEASE HELP ASAP ITS THE LAST QUESTION I HAVE
MATHEMATICALLY WE SAY
[tex] - 2 < x \leqslant 3[/tex]
THE FIRST OPTION FITS MY EXPLANATION.THE CIRCLE AT THE ENDPOINT OF THE LINE WHICH IS NOT SHADED MEANS NOT INCLUDED AND THE SHADED CIRCLE MEANS INCLUDED
HOPE THIS HELPS.
Write a function g whose graph represents the indicated transformation of the graph f.
f(x)=∣x+2∣−1; translation 1 unit to the right followed by a vertical stretch by a factor of 2 and a translation of 4 units down.
g(x) = ?
The transformed function is:
g(x) = 2*|x + 1| - 6
How to write the transformed function?
We start with the original function f(x), and we define the transformed function as g(x).
First, we have a translation of 1 unit to the right, so we have:
g(x) = f(x - 1)
Then, we have a vertical stretch by a factor of 2.
g(x) = 2*f(x - 1)
A translation of 4 units down:
g(x) = 2*f(x - 1) - 4
And we know that f(x) = |x + 2| - 1
Replacing that, we get:
g(x) = 2*( |x -1 + 2| - 1) - 4
g(x) = 2*|x + 1| - 2 - 4
g(x) = 2*|x + 1| - 6
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P=N+2/D make N the subject formula
Answer:
N=PD-2
Step-by-step explanation:
1. multiply both sides by D
[tex]pd = n + 2[/tex]
2.subtract 2 from both sides.
[tex]pd - 2 = n[/tex]
help please :)))))))))))))))))))))
The ratio of the length of the car to the length of the model is 15 : 1.
What is ratio?A ratio compares values. Ratio, is a term that is used to compare two or more numbers. in a simpler terms, a ratio shows how many times one number contains another.
Therefore, the car is 10 feet long and the model is 8 inches long.
Hence, the ratio of the length of the car to the length of the model can be calculated as follows:
10 ft = 120 inches
Hence,
120 inches : 8 inches
let's reduce it by dividing by 8
120 / 8 : 8 / 8
Therefore, the ratio is 15 : 1
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Is Shape A congruent to Shape B? Explain your reasoning.
Answer:
- Shape A is congruent to Shape B because if you were to rotate one of the two and flip it the would like up and match.
find X ………… help please
Answer:
x=27
Step-by-step explanation:
3x-17+2x-5+x+40=180
6x=162
x=27
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Katie owns 2 2/3 acres of land. She divided the Land into 1/3 acre lots. How many lots did Katie have?
HELPPP PLEASEE
Answer:
8
Step-by-step explanation:
8/3 * 3/1 = 24/3= 8
Submit a 250 word minimum essay on the steps of solving for both the x and y intercept.
The essay will need to be in your own words of course, but the basic idea is to replace x with 0 and solve for y to get the y intercept. To get the x intercept, replace y with 0 and solve for x.
Here's an example
2x+5y = 10
Let's find the x intercept
2x+5y = 10
2x+5(0) = 10
2x = 10
x = 5 is the x intercept
Now we'll do the y intercept
2x+5y = 10
2(0)+5y = 10
5y = 10
y = 10/5
y = 2 is the y intercept
The x intercept is the location where the graph crosses the x axis. The y intercept is where the graph crosses the y axis.
Which 2 expressions are equivalent to 3(x+6)?
1. 3+x+3+x
2. (x+6)+(x+6)+(x+6)
3. 3x+6
4. 3x+18
Answer:
2. (x+6)+(x+6)+(x+6)
4. 3x+18
Why its (x+6)+(x+6)+(x+6)
Since there's a 3 next to (x+6), you are multiplying 3 and (x+6). That means there are three (x+6) groups. Thus, it's just (x+6)+(x+6)+(x+6).
Why its 3x+18
When you use the distributive property, you multiply 3 and x, and multiply 3 and 6, which gives you 3x and 18, which equals 3x+18.
Destiny wants to compare interest rates quoted by four local banks for a deposit that she wants to make in an IRA account for a period of 4 years. Which bank pays the highest interest for this 4-year IRA account?
Chase Bank: 2 1/2%, Jefferson City Trust: 1.7%, Bank of America: 2.12%, First State Bank: 1 3/4%
Responses
Bank of America
First State Bank
Jefferson City Trust
The bank that pays the highest interest for this 4-year IRA account is Chase Bank.
What are interest rates?It should be noted that interest rates simply means the cost of borrowing or the gain from savings.
In this case, Destiny wants to compare interest rates quoted by four local banks for a deposit.
Chase Bank: = 2 1/2% = 2.5%
Jefferson City Trust:l = 1.7%,
Bank of America = 2.12%
First State Bank = 1 3/4% = 1.75%
Therefore, the highest is Chase Bank as it gives 2.5%.
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PLEASE QUICK HELP ME
Answer:
the answer is 115 degrees
Step-by-step explanation:
x is opposite of 115 and would be the same because they are congruent
Solve the equation
Y=1/2(-4)-6
Answer:
y=-8
just do it
Step-by-step explanation:
have a nice evening
Round 395, 621 to the nearest ten thousand.
O 396,000
O 390,000
O 400,000
O 395,600
For the given number 395,621 round off it to nearest ten thousand is equal to 400,000.
As given in the question,
Given number is equal to :
395,621
Round off the given number 395,621 to nearest ten thousand is given by:
395,621 = 300,000 + 95,621
Ten thousand is represented by 95,621 for the given number
95621 is in between two numbers
90,000< 95,621 < 100,000
95,621 is more closer to 100,000
After rounding it off to the nearest ten thousand
300,000+ 100,000 = 400,000
Therefore, for the given number 395,621 round off it to nearest ten thousand is equal to 400,000.
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Van graphed f(x) = x and h(x) = f(x-10) on
the same grid. Which is not a true statement about the graphs of the two functions?
A The lines have the same slope.
B The lines are parallel.
C The lines do not have the same x-intercept.
D h(x) is located 10 units left of f(x).
Answer:
Step-by-step explanation:
"D" would be the correct answer. "f(x-10)" means that the "10" would be moving right-- the positive direction. Therefore, h(x) would be located 10 units RIGHT of f(x), which passes through the origin, (0,0). Statement A is correct because, on a graph, you'd have line f(x) passing through the origin, and towards the right, 10 units, (positive) you would have h(x) making them identical. So yes, same slope. Statement B is also correct, they're obviously parallel if they're beside each other. Statement C is correct as well. Although they're parallel, they don't share the same X-intercept. f(x)'s x-intercept would be (0,0), origin. h(x)'s x-intercept would be (10,0). These three statements, A,B, & C are correct statements therefore they're not our answers since we're looking for the incorrect statement....... STATEMENT D!
You need a 30% alcohol solution. On hand, you have a 75 mL of a 10% alcohol mixture. You also have 55% alcohol mixture. How much of the 55% mixture will you need to add to obtain the desired solution?
A = 10% alcohol solution
B = 55% alcohol solution
we know we have 75 mL of A, that means A itself since it's 10% alcohol, really only has 75 * (10/100) = 7.5 mL of alcohol, likewise the B solution has say "x" mL, so alcohol wise it only has "x" * (55/100) = 0.55x, and we have a final mixture we need of say "y" mL at 30% alcohol.
[tex]\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{mL of }}{amount}\\ \cline{2-4}&\\ A&75&0.10&7.5\\ B&x&0.55&0.55x\\ \cline{2-4}&\\ mixture&y&0.30&0.3y \end{array}~\hfill \begin{cases} 75+x=y\\\\ 7.5+0.55x=0.3y \end{cases} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{using the 1st equation}}{75+x=y}\hspace{12em}\stackrel{\textit{substituting on the 2nd equation}}{7.5+0.55x=0.3(75+x)} \\\\\\ 7.5+0.55x=22.5+0.3x\implies 0.55x=15+0.3x\implies 0.25x=15 \\\\\\ x=\cfrac{15}{0.25}\implies {\Large \begin{array}{llll} x=60 \end{array}} ~mL[/tex]
In x years from now, Robert will be k
years old. How old was Robert m
years ago?
A) x-(k+m)
B) k-x
C) k-x-m
D) x-(k-m)
Answer:
I think the answer would be C, because
Step-by-step explanation:
Example:
If in 6(x) years Robert is 16(k), how old was he 3(m) years ago?
First, you would have to find out how old Robert is now, 16-6=10
Then, you would take 10, his current age, and subtract 3(m) 10-3=7
I hope this helped, good luck!
Since Robert will be [tex]k[/tex] years old in [tex]x[/tex] years, he must be [tex](k-x)[/tex] years old now.
[tex]Robert=(k-x)old[/tex]Robert was [tex](k-x)-m[/tex] years old; [tex]m[/tex] years ago.
[tex]Robert=(k-x)-m[/tex]The answer is C.
Find the value of x in each case
Answer:
10
Step-by-step explanation:
I don't get this please help urgently
Answer:
The coordinates for the outlier are (14,13)
I believe it is a positive correlation
13.6 hours of sunshine would be my guess but I'm not 100% sure
I believe the last answer is A.
Given the information marked on each figure below, select all classifications that must be true.
Note that each figure is drawn like a rectangle, but you should not rely on the way the figure is drawn in determining your answers.
If necessary, you may learn what the markings on a figure indicate.
The figures in this problem are classified as follows:
Figure RSTU: Quadrilateral, Parallelogram, Rectangle.Figure: KLNM: Quadrilateral, Parallelogram.Figure ABCD: Quadrilateral.What are quadrilaterals, parallelograms and rectangles?The quadrilaterals, parallelograms and rectangles are classified as follows:
Quadrilaterals: any polygon with four sides.Parallelogram: quadrilateral in which both pairs of opposite sides are parallel. Opposite sides and opposite angles are congruent, adjacent angles are supplementary and the diagonals bisect each other.Rectangle: has all the properties of a parallelogram, along with congruent diagonals.Hence, Figure RSTU, as the diagonals are congruent, is classified as all three of these characteristics.
For Figure KLMN, the opposite sides and angles are parallel, hence it is also a parallelogram, while ABCD is only a quadrilateral, as there is not enough information about the sides/angles.
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The cost to rent a construction crane is $1500 per day plus $250 per hour of use. Write and solve an inequality that can be used to determine the maximum number of hours h the crane can be used if the rental cost for one day will not exceed $5000
The maximum number of 14 hours that the crane is Used.
Step: 1 According to the question
1500 + (250)h ≤ 5000
1500 + 250h ≤ 5000
Step: 2
1500 + 250h - 1500 ≤ 5000 - 1500
250h ≤ 3500
Divide by 250 into both sides
250h/250h ≤ 3500/250
h ≤ 14
What is Divide?
Split, in its simplest form, is to divide into two or more equivalent portions, spaces, groups, or divisions. Split, in plain English, is to provide the entire item to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
Divide or division is denoted by the letters, slash (/), or a horizontal line. When dealing with a variety of problems and calculations, these symbols are useful. Also, "x by y" or "x over y" might be interpreted as "x/y" or "x y."
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If N is the set of natural numbers that are factors of 20, choose the selection below that
correctly shows this set in roster form.
O {2, 4, 5, 10)
O{2, 4, 6, 8, 10, 12, 14, 16, 18, 20)
O {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
O {1, 2, 4, 5, 10, 20} please help
N is the set of natural numbers that are factors of 20={1,2,4,5,10,20}
What are factors?Factors: A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product. There are two methods of finding factors: multiplication and division.
given in the question that, N is the set of natural numbers that are factors of 20
factors of 20 are = 1,2,4,5,10,20
so the set of factors of 20 is={1,2,4,5,10,20}
4th option is correct
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Answer:
It should be (1, 2, 4 , 5, 10, 20)
Given (x – 7)2 = 36, select the values of x.
Answer:
x=25
Step-by-step explanation:
2(x-7) = 36
x-7 = 18
x = 25
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