In order to complete the table on the sample space, combine the numbers given by putting the tens digits first and then the ones digits second as shown attached.
For all spaces below the tens digit, "1" on the first row, put 1 as the first number.
Do the same for the other spaces with digits 4, 5, and 9.
For all the spaces across from the ones digit, "1" on the first column, put 1 as the second number.
The completed table can then be shown attached.
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Use a table to show the sample space of two-digit numbers using the digits 1, 4, 5, 9, Use the column label as the tens digit and the row label as the ones digit to complete the table that represents the sample space of two-digit numbers.
Complete the solution to find 38÷25.
sikhism, a religion founded in the 15th century in india, is going through turmoil due to a rapid decline in the number of sikh youths who wear turbans. the tedious task of combing and tying up long hair and a desire to assimilate has led to approximately 25% of sikh youths giving up the turban. a. what is the probability that exactly two in a random sample of five sikh youths wear a turban? (do not round intermediate calculations. round your final answer to 4 decimal places.) b. what is the probability that two or more in a random sample of five sikh youths wear a turban? (do not round intermediate calculations. round your final answer to 4 decimal places.) c. what is the probability that more than the expected number of sikh youths wear a turban in a random sample of five sikh youths? (do not round intermediate calculations. round your final answer to 4 decimal places.) d. what is the probability that more than the expected number of sikh youths wear a turban in a random sample of 10 sikh youths? (do not round intermediate calculations. round your final answer to 4 decimal places.)
The probability that more than the expected number of Sikh youths wear a turban in a random sample of five is 0.3671 (rounded to 4 decimal places).
a. Using the binomial distribution formula, we can determine the likelihood that two out of a random sample of five Sikh teenagers are turban-wearing:
\(P(X = 2) = (5 pick 2) (5 choose 2) * (0.75)^3 * (0.25)^2\)
"X" indicates the proportion of Sikh adolescents who wear turbans, "5 choose 2" indicates the number of possible methods to select 2 Sikhs from a group of 5, and "0.75" and "0.25" indicate the likelihoods that a Sikh youngster will not be wearing a turban and will be wearing one, respectively.
This expression can be made simpler by using a calculator to become:
P(X = 2) = 10 * 0.421875 * 0.0625 = 0.2659
Hence, 0.2659 percent chance exists that two out of every five Sikh youngsters in a random sample will be turban-wearing (rounded to 4 decimal places).
Using the complement rule, we can determine the likelihood that two or more of a random sample of five Sikh teenagers are wearing turbans:
P(X >= 2) = 1 - P(X 2)
where X is the proportion of young Sikhs who are turban-wearing.
P(X 2) is the likelihood that fewer than 2 of five Sikh teenagers chosen at random will be turban-wearing.
This can be calculated as:
P(X 2) equals P(X = 0) plus P(X = 1).
P(X = 0) = (5 select 0) * (0.75) * (5 select 0) * (0.25) * 0 = 0.2373
P(X = 1) = (5 select 1) * (0.75) * (4 select 1) * (0.25) * 1 = 0.3956
P(X 2) = 0.2373 + 0.3956 = 0.6329 as a result.
We can then compute P(X >= 2) = 1 - 0.6329 = 0.3671 using the complement rule.
Consequently, there is a 0.3671 percent chance that two or more of five Sikh teenagers chosen at random will be turban-wearing (rounded to 4 decimal places).
c. The following formula can be used to determine how many Sikh teenagers in a random sample of five are likely to wear a turban:
E(X) = n * p = 5 * 0.25 = 1.25
Using the cumulative binomial distribution function, we can determine the likelihood that more Sikh teenagers than predicted in a random sample of five wear turbans:
P(X > 1) = 1 - P(X <= 1)
P(X = 1) equals P(X = 0) plus P(X = 1).
P(X = 0) = (5 select 0) * (0.75) * (5 select 0) * (0.25) * 0 = 0.2373
P(X = 1) = (5 select 1) * (0.75) * (4 select 1) * (0.25) * 1 = 0.3956
Therefore,
P(X <= 1) = 0.2373 + 0.3956 = 0.6329
The complement rule can then be used to determine:
P(X > 1)
P(X > 1) = 1 - 0.6329 = 0.3671
Hence, in a random sample of five Sikh adolescents, the likelihood that there are more turban-wearing Sikh youths than expected is 0.3671. (rounded to 4 decimal places).
d. To determine the likelihood that more than predicted will occur.
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Write the prime factorization of 21. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
The prime factorization of the number 21 is:
21 = 3*7
How to write the prime factorization?We want to write the prime factorization of 21.
To do so, we just need to divide the number by prime numbers.
The first prime number we can try is 2, if we divide by 2 we get:
21/2 = 10.5
This is not an integer, so 2 is not a factor.
The next one is 3:
21/3 = 7
Now we can rewrite:
21 = 3*7
Where 3 and 7 are prime numbers, so that is the prime factorization.
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Who is correct, Casey or Jacinta ?
Answer: Jacinta
Step-by-step explanation: But the fraction still can be simplified to 1/7
Answer: j is correct
Step-by-step explanation:
Asap! I’ll mark you brainlest
What does How many kilometers did Jon run?
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Kathy is going to buy a book at the bookstore for $9.45. The tax rate is 10%. What is the total cost Kathy would have to pay?
price of the car was 22,500 what is the cost after the 4% discount
Answer:
$21600
Step-by-step explanation:
Which angles are complementary to each other?
Answer:
3 and 2
Step-by-step explanation:
complementary means they add up to 90 degrees. Angle 3 and 2 equal 90 degrees,
what is the length of the side labeled x cm ? show your work
Answer:
9.9 cm
Step-by-step explanation:
Calculate the third angle and then use The Law of Sines.
Sum of angles in triangle is 180°.
angle + 40° + 63° = 180°
angle = 180° - 40° - 63°
angle = 77°
Now we can use the law of sines.
\(\frac{x}{\sin 40} = \frac{15}{\sin 77}\)
\(x = \frac{15 \cdot \sin 40}{\sin 77}\)
\(x \approx 9.895\)
\(x \approx 9.9 \text{ cm}\)
Please guys this is due
Julian forgot his bat when he left for baseball camp. His mother finds a box to ship it to him with the dimensions shown. If the bat measures 34 inches long, will the bat fit inside the box? Drag words to complete the statements about the diagonal of the base and the interior diagonal of the box. Words may be used once, more than once, or not at all.
The diagonal of the base of the box is shorter than the bat.
The length of the interior diagonal of the box is shorter than the bat.
Juilian's bat will not fit in the box.
What is diagonal?The line connecting the opposite vertex of the geometric figure like cube or cuboid or square or rectangle is called the diagonal.
The diagonal of the base `= sq rt (32² + 8²) = 33 in.
The length of the interior diagonal = sq rt (32² + 8² +6²) =33.5 or 34 in.
Thus, The diagonal of the base of the box is shorter than the bat.
The length of the interior diagonal of the box is shorter than the bat.
Juilian's bat will not fit in the box.
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Answer:
1. Shorter than
2. Shorter than
3. Will not fit in the box
Step-by-step explanation:
suppose that there are two types of tickets to a show: advance and same-day. advance tickets cost and same-day tickets cost . for one performance, there were tickets sold in all, and the total amount paid for them was . how many tickets of each type were sold?
100 same-day tickets were sold for the cost using equation.
To solve this problem, we can use a system of two equations with two variables. Let x be the number of advance tickets sold and y be the number of same-day tickets sold. Then we have:
x + y = 600 (equation 1: total number of tickets sold)
50x + 30y = 28000 (equation 2: total amount paid for tickets)
We can solve for x and y by using elimination or substitution. Here's one way to do it using substitution:
From equation 1, we have y = 600 - x. Substitute this into equation 2:
50x + 30(600 - x) = 28000
Simplify and solve for x:
50x + 18000 - 30x = 28000
20x = 10000
x = 500
So 500 advance tickets were sold. To find the number of same-day tickets, we can substitute x = 500 into equation 1:
500 + y = 600
y = 100
So 100 same-day tickets were sold.
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Solve the following differential equation by variation of parameters Fully evaluate all integrals y" + 16y = sec(4x). A. A Find the most general solution to the associated homogeneous differential equation Use c_1 and c_2 in your answer to denote arbitrary constants, and enter them as c1 and c2. Y_h = b b. Find a particular solution to the nonhomogeneous differential equation y" + 16y = sec(4x) y_p= c c. Find the most general solution to the original nonhomogeneous differential equation Use c_1 and c_2 in your answer to denote arbitrary constants y =
The most general solution to the associated homogeneous differential equation is y_h = c₁ cos(4x) + c₂ sin(4x), where c₁ and c₂ are arbitrary constants.
a-To find the most general solution to the associated homogeneous differential equation y" + 16y = 0, we assume a solution of the form
\(y_h = e ^{rx}\)
Substituting this into the differential equation, we get the characteristic equation r² + 16 = 0, which has roots r = ±4i.
Therefore, the general solution to the homogeneous equation is y_h = c₁ cos(4x) + c₂ sin(4x), where c₁ and c₂ are arbitrary constants.
b-To find a particular solution to the nonhomogeneous differential equation y" + 16y = sec(4x), we use the method of variation of parameters. We assume a particular solution of the form
\(y_p = u₁(x) cos(4x) + u₂(x) sin(4x)\)
Substituting this into the differential equation, we get the system of equations
\(u₁'(x) cos(4x) + u₂'(x) sin(4x) = 0\)
and
\(u₁'(x) sin(4x) - u₂'(x) cos(4x) = ( \frac{1}{16}) sec(4x)\)
Solving this system of equations,
we get
\(u₁(x) = ( \frac{1}{32}) ln|cos(2x)| \\ u₂(x) = ( \frac{1}{8}) sin(4x) ln|cos(2x)|\)
Therefore, the particular solution is
\(y_p = ( \frac{1}{32}) ln|cos(2x)| cos(4x) + ( \frac{1}{8}) sin(4x) ln|cos(2x)| sin(4x)\)
c- Finally, the most general solution to the nonhomogeneous differential equation
\(y" + 16y = sec(4x) \\
y = y_h + y_p\)
which gives us the solution
\(y = c₁ cos(4x) + c₂ sin(4x) - ( \frac{1}{32}) ln|cos(2x)| + ( \frac{1}{8}) sin(4x) ln|cos(2x)|\)
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A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?
The jar contains ___nickels and ___ dimes.
10 nickels = $0.50
10 dimes = $1.00
So- 10 nickels + 10 dimes = $1.50
Help me with question 1
Answer:
The most logical answer would be C.
Step-by-step explanation:
Each small square in the graph paper represents 1 square unit
Answer:
But the graph paper is not here...
Question 1
Theresa estimated that a caterpillar was 5 centimeters long. Later, she found its actual length to be 5.4 centimeters.
Enter numbers into the boxes to write an expression for the percent error in her estimate.
An expression for the percent error in Theresa estimate is (5.4-5)/5 ×100.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Theresa estimated that a caterpillar was 5 centimeters long. Later, she found its actual length to be 5.4 centimeters.
Now, percent error = (Actual length-Expected length)/Expected length ×100
= (5.4-5)/5 ×100
= 0.4/5 ×100
= 0.08×100
= 8%
Therefore, the percent error in Theresa estimate is 8%.
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Find the circumference of the given circle use 3.14 pie and 7 in diameter
Answer:
43.98
Step-by-step explanation:
2piR
BTW the 7 is the radius not the diameter
Determine the zeros for x2 + 7x − 20 = 6x.
Answer:
= 4
or
= −5
Step-by-step explanation:
Answer:
\(x=-5\) and \(x=4\)
Step-by-step explanation:
\(x^2+7x-20=6x\)
\(x^2+7x-20-6x=6x-6x\)
\(x^2+x-20=0\)
\((x+5)(x-4)=0\)
\(x=-5\) and \(x=4\)
Choose a company with your option and explain how
that company can create a business model? There are 8 steps in the
business module, explain each step based on the company which you
have chosen.
Company: Amazon, 8 Steps in the Business Model: Define the value proposition. What value does Amazon offer its customers? Amazon offers a convenient and affordable way to shop for a wide variety of products.
Identify the target market. Who are Amazon's customers? Amazon's target market is people who want to buy products online.
Determine the revenue streams. How does Amazon make money? Amazon makes money through product sales, advertising, and subscription fees.
Assess the cost structure. What are Amazon's costs? Amazon's costs include salaries, rent, and marketing.
Develop a marketing plan. How will Amazon reach its target market? Amazon's marketing plan includes online advertising, search engine optimization, and social media marketing.
Create a sales strategy. How will Amazon sell its products? Amazon's sales strategy includes a focus on customer service and convenience.
Build a team. What skills and experience does Amazon need to build a successful business? Amazon needs a team with a variety of skills, including product development, marketing, and sales.
Continuously improve. How will Amazon ensure that its business model is successful? Amazon will continuously improve its business model by listening to customer feedback and adapting to changes in the market.
The 8 steps in the business model are essential for any company that wants to be successful. By following these steps, companies can ensure that they are offering a valuable product or service to the right customers, and that they are able to make money.
In the case of Amazon, the company has clearly defined its value proposition, target market, and revenue streams.
Amazon's marketing plan is also effective, and the company has built a team with the skills and experience necessary to be successful. Finally, Amazon is committed to continuous improvement, which is why the company has been so successful over the years.
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Find the volume. PLZ HELP MEHH I REALLY NEED THHIS ILL MARK BRANILY
Answer:
300 + 84 = 384
Step-by-step explanation:
i found the volume of each then added it together
Answer:
guy above me is correct
Step-by-step explanation:
The length of a garden is 10 feet longer than three times the width. The perimeter of the garden is 240 feet. Find the length and the width of the garden.
Answer: width = 27.5 feet and length = 92.5 feet
Step-by-step explanation:
Let width = x, then length = 3x+10
Perimeter of rectangle = 2 (length +width)
Given: Perimeter of the garden = 240 feet.
Then, \(2 (x+3x+10)=240\)
\(\Rightarrow\ 2 (x+3x+10)=240\\\\\Rightarrow\ (4x+10)=120\\\\\Rightarrow\ 4x=110\\\\\Rightarrow\ x=\dfrac{110}{4}=27.5\)
i.e. width = 27.5 feet
Then, length = 3(27.5)+10= 82.5+10=92.5 feet
Hence, width = 27.5 feet and length = 92.5 feet
Please answer number 5 thank you
Given :-
Two circles with radius x -2 and x + 2.To find:-
The difference in the circumferences of the two circles.Answer:-
As we know that the circumference of a circle is given by ,
\(\sf \implies C = 2\pi r \\\)
where,
\( r\) is the radius .And here , the differences of the circumferences would be ,
\(\sf \implies \Delta C = C_1 - C_2 \\\)
\(\sf \implies \Delta C = 2\pi r_1 - 2\pi r_2 \\\)
\(\sf \implies \Delta C = 2\pi ( r_1 - r_2) \\\)
Here ,
\( r_1\) = x +2 \( r_2\) = x -2So that ,
\(\sf \implies \Delta C = 2\pi ( x + 2 - (x -2)) \\\)
\(\sf \implies \Delta C = 2\pi ( x + 2 - x + 2 ) \\\)
\(\sf \implies \Delta C = 2\pi \times 4 \\\)
\(\sf \implies \underline{\underline{\Delta C = 8\pi }} \\\)
Hence the difference in the circumferences of the two circles is 8π units .
and we are done!
Identify next three numbers in this sequence: 3, 12, 6, 24, 18, … 27, 13.5, 22.5 72, 66, 264 72, 36, 144 27, 21, 30
Answer:
its 72, 36, 144
Step-by-step explanation:
yes it is!!!
help please i’ll give u brianliest
Answer:
I guess the answer is c.... I guess it must be c
please write step by step, and solve all question. I will mark you as brainliest answer!
Answer:
11, 10
Step-by-step explanation:
n(B') = 2+5+12 = 19 ; the numbers that are not included in B
n(B∩C) = y-1 +9 = y+8 ; what belongs to both B and C
a)
n(B') = n(B∩C)
19 = y +8 ; subtract 8 from both sides
19-8 = y-8+8
11 = y
b)
n(A∪B∪C) =y -1 = 11 -1 = 10 ; is what belongs to A and B and C in the same time
A football team carried out a report to see the impact of stretching on preventing injury. Of the 60 footballers in the squad 48 stretch regularly. Of those who stretch, 8 got injured last year. There was a total of 17 injured players last year.
The results can be presented in a frequency tree. What fraction of players who do stretch get injured?
Answer:
1 in every 6 players 1/6
8/48=1/6
The diagram shows a circle with centre O.
A & B lie on the circumference of this circle.
Given that ∠OAB = 40°, evaluate ∠AOB.
Helppp ASAP
As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.
What are the properties of circle?Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB
Diameter is twice of radius.
What is isosceles triangle?The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius
According to the criteria of isosceles triangle angle OAB =OBA =40°
hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]
angle AOB= 100 degrees.
We get, AOB = 100 degrees
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In this diagram, lines AB and CD are parallel. D B Angle ABC measures 35 degrees and angle BAC measures 115 degrees. a. What is m ZACD b. What is mZDCB c. What is mZACB
|CD| is parallel to |AB|
\(\angle ACD=\angle ACB+\angle DCB\)\(\begin{gathered} ACBisatriangle.Thesumofanglesinatriangleis180^o. \\ \angle ACB+\angle ABC+\angle BAC=180^o \\ \angle ACB=180^o-35^o-115^o \\ \angle ACB=30^o \end{gathered}\)Also;
\(\begin{gathered} S\text{ ince CD and AB are parallel;} \\ \angle DCB=\angle ABC\text{ (because alternate angles are equal)} \\ \angle DCB=35^o \end{gathered}\)\(\begin{gathered} \angle ACD=\angle ACB+\angle DCB \\ \angle ACD=30^o+35^o \\ \angle ACD=65^o \end{gathered}\)ANSWERS:
(a) The measured angle ACD is 65degrees
(b) The measured angle DCB is 35degrees
(c) The measured angle ACB is 30 degrees
A 2-column table with 4 rows. Column 1 is labeled Time (minutes), x with entries 4, 5, 6, 7. Column 2 is labeled Bags Remaining, y with entries 36, 32, 28, 24.
Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill?
36
48
52
56
Therefore, the initial number of party favor bags Razi had to fill is 20.
To determine the initial number of party favor bags Razi had to fill, we need to analyze the relationship between the time and the number of bags remaining.
Looking at the table, we can observe that the number of bags remaining decreases by 4 for every additional minute of work. This suggests a constant rate of filling the bags.
From the given data, we can see that at the starting time (4 minutes), Razi had 36 bags remaining. This implies that for each minute of work, 4 bags are filled.
To calculate the initial number of bags, we can subtract the number of bags filled in 4 minutes (4 x 4 = 16) from the number of bags remaining initially (36).
36 - 16 = 20
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the degrees of freedom for a data table with 10 rows and 11 columns is?
The degrees of freedom for a data table can be calculated using the formula:
Degrees of Freedom = (Number of Rows - 1) * (Number of Columns - 1)
In this case, the data table has 10 rows and 11 columns. Plugging these values into the formula:
Degrees of Freedom = (10 - 1) * (11 - 1) = 9 * 10 = 90
Therefore, the degrees of freedom for the given data table is 90.
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