Answer:
n - 11 = 18n
Step-by-step explanation:
n−11=18n
Step 1: Subtract 18n from both sides.
n−11−18n=18n−18n
−17n−11=0
Step 2: Add 11 to both sides.
−17n−11+11=0+11
−17n=11
Step 3: Divide both sides by -17.
−17n−17=11−17
n=−1117
Answer:
n = −11/17
Here is a data set (n = 117) that has been sorted. 47.1 48.2 49.3 50.1 50.2 50.7 51 51 51.4 51.6 52.8 54.5 54.9 55.1 55.3 55.8 56 56.2 56.5 56.8 57 57.2 57.5 57.9 58 58.2 58.3 58.4 58.4 58.6 58.8 58.8 59.5 60 60.1 60.5 60.8 60.9 60.9 61.4 61.6 61.8 62.1 62.6 63.4 63.7 63.8 64.1 64.2 64.7 64.8 65 65.1 65.1 65.2 65.2 65.3 65.6 65.7 65.8 66 66.3 66.6 66.7 67.1 67.1 67.4 67.4 67.4 68.1 68.1 68.2 68.2 68.3 68.3 68.4 68.9 69.4 69.6 69.7 69.7 69.9 70 70.2 70.3 70.4 70.4 70.4 70.6 70.7 70.9 71 71.3 71.4 71.6 71.9 72.4 72.7 73 73 73.5 73.5 73.9 74.1 74.5 74.9 75.6 75.6 76 76.6 77.1 77.6 77.8 78.2 82.5 82.7 85.1 Find the 70th-Percentile: P70 =
The 70th percentile (P70) of the given data set is 74.7.
To find the 70th percentile (P70) of the given data set, we can follow these steps:
1. Sort the data set in ascending order:
47.1, 48.2, 49.3, 50.1, 50.2, 50.7, 51, 51, 51.4, 51.6, 52.8, 54.5, 54.9, 55.1, 55.3, 55.8, 56, 56.2, 56.5, 56.8, 57, 57.2, 57.5, 57.9, 58, 58.2, 58.3, 58.4, 58.4, 58.6, 58.8, 58.8, 59.5, 60, 60.1, 60.5, 60.8, 60.9, 60.9, 61.4, 61.6, 61.8, 62.1, 62.6, 63.4, 63.7, 63.8, 64.1, 64.2, 64.7, 64.8, 65, 65.1, 65.1, 65.2, 65.2, 65.3, 65.6, 65.7, 65.8, 66, 66.3, 66.6, 66.7, 67.1, 67.1, 67.4, 67.4, 67.4, 68.1, 68.1, 68.2, 68.2, 68.3, 68.3, 68.4, 68.9, 69.4, 69.6, 69.7, 69.7, 69.9, 70, 70.2, 70.3, 70.4, 70.4, 70.4, 70.6, 70.7, 70.9, 71, 71.3, 71.4, 71.6, 71.9, 72.4, 72.7, 73, 73, 73.5, 73.5, 73.9, 74.1, 74.5, 74.9, 75.6, 75.6, 76, 76.6, 77.1, 77.6, 77.8, 78.2, 82.5, 82.7, 85.1
2. Calculate the index of the 70th percentile:
Index = (70/100) * (n + 1)
= (70/100) * (117 + 1)
= 82.4
Since the index is not a whole number, we need to take the average of the 82nd and 83rd values.
3. Find the values at the 82nd and 83rd positions:
82nd value = 74.5
83rd value = 74.9
Calculate the 70th percentile by taking the average of the 82nd and 83rd values:
P70 = (74.5 + 74.9) / 2
= 74.7
Therefore, the 70th percentile (P70) is 74.7.
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the very possible foods company makes vegan versions of burgers, hot dogs, and chicken wings, and they offer two platters. platter a consists of $1$ burger, $3$ hot dogs, and $5$ chicken wings, which costs $\$16.$ platter b consists of $2$ burgers, $1$ hot dog, and $8$ chicken wings, which costs $\$20.$
The minimum cost to meet the minimum requirements is $1280.
To determine the minimum cost, we need to calculate the number of platters required to meet the minimum requirements for each item (hamburgers, hot dogs, and chicken wings) and then multiply it by the cost of each platter.
Let's calculate the number of platters required for each item:
For hamburgers:
80 hamburgers / 1 burger per platter = 80 platters
For hot dogs:
95 hot dogs / 1 hot dog per platter = 95 platters
For chicken wings:
380 chicken wings / 5 chicken wings per platter = 76 platters
Now, let's calculate the cost:
For Platter A:
80 platters * $16 per platter = $1280
For Platter B:
95 platters * $20 per platter = $1900
The minimum cost would be the lower of the two costs, which is $1280. Therefore, the minimum cost to meet the minimum requirements is $1280.
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Complete Question:
The Very Possible Foods Company makes vegan versions of hamburgers, hot dogs, and chicken wings, and they offer two platters. Platter A consists of 1 burger, 3 hot dogs, and 5 chicken wings, which costs $16. Platter B consists of 2 burgers, 1 hot dog, and 8 chicken wings, which costs $20.
A barbecue organizer requires 80 hamburgers, 95 hot dogs, and 380 chicken wings. (There can be leftovers, but these are the minimum requirements.) What is the minimum cost (in dollars)?
Use the figure below to determine the value of the variable and the
lengths of the requested segments. Your answers may be exact or
rounded to the nearest hundredth. The figure may not be to scale.
The value of the variable a is 13.
We have,
In geometry,
A secant is a line that intersects a circle in two distinct points.
The secant line extends beyond the circle, intersecting it at two points, creating two chord segments within the circle.
From the figure,
When two secants are in a circle we have the definition:
(vw + wx) wx = (zy + yx) yx
Now,
Substituting the values.
(vw + wx) wx = (zy + yx) yx
(13 + 7) x 7 = (a + 7) x 7
20 x 7 = (a + 7) x 7
140/7 = a + 7
20 = a + 7
a = 20 - 7
a = 13
Thus,
The value of the variable a is 13.
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True or False:
If you multiply the numerator, you have to multiply the denominator by the SAME number.
Answer:
True
Step-by-step explanation:
a fruit stand sells apples, bananas, and oranges at a ratio of 3:2:1. if the fruit stand sells 20 bananas, how many total pieces of fruit does the fruit stand sell?
The total pieces at the fruit stand is 60.
Let the number of apples, bananas and oranges sold be 3x, 2x and 1x. We have actual number of bananas. So equating them to find the value of x.
2x = 20
x = 20/2
Performing division
x = 10
So, number of apples = 3x
Number of apples = 3×10
Number of apples = 30
Similarly, number of oranges = 10
Total number of fruits = sum of the number of apples, bananas and oranges
Total number of fruits = 30 + 20 + 10
Total number of fruits = 60
Thus, there are 60 fruits to sell.
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find slope of the line given (0,-2) and (-2, -8)
Answer:
\(3\)
Step-by-step explanation:
\(\mathrm{The\ slope\ of\ a\ line\ passing\ through\ the\ points\ (x_1,y_1)\ and\ (y_2,y_1)\ is\ given\ by:}\\\mathrm{Slope(m)=\frac{y_2-y_1}{x_2-x_1}}\\\\\mathrm{According\ to\ the\ question,}\\\mathrm{(x_1,y_1)=(0,-2)}\\\mathrm{(x_2,y_2)=(-2,-8)}\)
\(\mathrm{Therefore\ the\ slope=\frac{-8-(-2)}{-2-0}=\frac{-8+2}{-2}=3}\)
The Snake river runs through the state of Idaho. It also runs through the city of
Idaho Falls, Idaho. I saw another river once. Many people enjoy the river for its beauty and recreation.
Which sentence doesn’t belong to the main idea?
1. The Snake river runs through the State of Idaho.
2. It also runs through the city of Idaho Falls, Idaho.
3. I saw another river once.
4. Many people enjoy the river for its beauty and recreation.
More help pls
Answer:
4. Many people enjoy the river for it's beauty and recreation.
Step-by-step explanation:
this sentence doesn't specify the river if it's snake or the other one
The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?
No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.
Answer:
No adda doesnt get free delivery
Step-by-step explanation:
Answer: A) No, the distance from the restaurant to Ada’s house is Square Root of 41 miles, which is greater than the 6-mile maximum radius.
Step-by-step explanation:
aerobic dancing study: a researcher wants to know which exercise program is more effective in reducing body mass index (bmi) in 60 to 70 year-old individuals with diabetes: 1) a 20 minute aerobic dancing program or 2) a 20 minute walking program. the participants in the research project will be 60 volunteers living in a large gated retirement community. participants will be randomly assigned to either the aerobic dancing group or the walking group. participants will exercise for 20 minutes a day three days a week for six months. participants will have height and weight measurements taken (in order to calculate bmi) before and after this six-month program. changes in bmi between the two groups will be compared. in the aerobic dancing study, which is the dependent variable?
As per the BMI, the dependent variable is outcome
In this study, the researcher wants to compare the effectiveness of two different exercise programs in reducing BMI in individuals with diabetes. The participants will be randomly assigned to either the aerobic dancing group or the walking group, and their BMI will be measured before and after the six-month exercise program.
The changes in BMI between the two groups will be compared to determine which exercise program is more effective in reducing BMI in this population. The dependent variable in this study is the change in BMI, as it is the outcome that is being measured and compared between the two groups.
Overall, this study will provide valuable insights into the effectiveness of different exercise programs in reducing BMI in older adults with diabetes, which can have important implications for their overall health and wellbeing.
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Rugged cabin co. provides pre-made materials to build cabins. to ensure materials are in supply and ready for quick delivery, the company offers cabins in only three sizes. each cabin has rectangular floor plan where the length is equal to 5 feet more than twice the width. which expression represents the area, in square feet, for each cabin size?
A. 2w^2 + 5w, where w is the width
B. 2w^2 + 5, where w is the width
C. 2w^2, where w is the width
D. 10w^2 + 5 w, where w is the width
The expression 5w + 2w² represents the area, in square feet, for each cabin size
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
Area of a rectangle = length * width = l*w
length is equal to 5 feet more than twice the width.
=> l= 5+2w
So, area = ( 5+2w ) *w
= 5w + 2w²
Thus, the expression 5w + 2w² represents the area, in square feet, for each cabin size
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What is the number of bits transferred or received per unit of time? multiple choice bandwidth bit bit rate wireless fidelity
The number of bits transferred or received per unit of time is referred to as the "bit rate."
The term "bit rate" refers to the rate at which bits of data are transferred or received in a given unit of time. It measures the speed or capacity of a digital communication channel to transmit information.
Bit rate is typically expressed in bits per second (bps) or multiples thereof, such as kilobits per second (Kbps) or megabits per second (Mbps). It represents the amount of data that can be transmitted or received in a specific timeframe.
For example, a bit rate of 1 Mbps means that one million bits can be transferred or received in one second. Higher bit rates indicate a faster data transmission or reception capability.
Bandwidth, on the other hand, refers to the capacity of a communication channel to carry data and is typically measured in hertz (Hz). It represents the range of frequencies that can be transmitted through the channel.
Wireless fidelity (Wi-Fi) is a technology standard that enables wireless local area networking. While Wi-Fi can be used to transmit data wirelessly, the specific term for the rate at which data is transferred or received is still referred to as the "bit rate."
In summary, the term "bit rate" accurately describes the number of bits transferred or received per unit of time in a digital communication system.
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(1+i)⁴+(1-i)⁴=
A)0 b)8 c)-8 d)4
Answer:
- 8
Step-by-step explanation:
\(\left(1+i\right)^4+\left(1-i\right)^4\)
\(\left(1+i\right)^4 = -4\)
\(\left(1-i\right)^4 = -4\)
\(=-4-4\)
\(=-8\)
Hope I helped you!Succes!
Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer. 16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
Answer:
yes
Step-by-step explanation:
6^2+8^2=10^2
following the pythagoras theorem this triangle is right triangle
What is the area of this rhombus?
Answer:
90 m²
Step-by-step explanation:
\(A=\frac{pq}{2}\)
10 · 18
180
180 ÷ 2
90
Answer:
22.5
Step-by-step explanation:
9 times 5 = 45
45/2 = 22.5
Given the diagram below, if P is the incenter of AJRL,
PO = 31, KM = 34, and PL = 48, find each measure.
13. PM
14. KN
15. OL
16. KP
Answer:
13. PM=31 14. KN=34 15. OL=36.6 KP=46
Step-by-step explanation:
13. PM≅PN≅PO 14.KM≅KN
15.\(x^{2}+31^{2}=48^{2}\)
\(x^{2} +961=2304\\\)
subtract 961 from both sides
\(\sqrt{x^2} =\sqrt{1343}\\x=36.6\)
16. \(31^{2} +34^{2}=x^{2}\)
\(961+1156=x^{2}\)
add 961 and 1156 together
\(\sqrt{2117^2} }=\sqrt{x^{2} }\)\(x=46.0\)
How many real numbers are solutions for x2 − 5x 7 0?
There are two real number solutions for x2 − 5x + 7 = 0: x = 2 and x = 7.
1. x2 − 5x + 7 = 0
2. (x - 2)(x - 7) = 0
3. x = 2 or x = 7
When solving for the real number solutions of x2 − 5x + 7 = 0, we first need to factor the equation into two linear terms: (x - 2)(x - 7) = 0. From here, we can use the Zero Product Property to determine that x = 2 and x = 7 are the two real number solutions of this equation. This means that when x is equal to 2 or 7, the equation will equal 0 and all other values of x will result in a non-zero answer. Therefore, the only two real number solutions of x2 − 5x + 7 = 0 are x = 2 and x = 7.
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PLZ I NEED HELP NOW!!!!!!!
Answer:
D
Step-by-step explanation:
Answer:
20 divided by 2 = 10
10 x 1/4 = 10/4 = 2 2/4 = 2 1/2
Use the vertical-line test to determine which graph represents a function.
Please help, this is due today and I feel confused. I could just be having a moment and not truly be seeing this right, but could someone check this out and confirm? Tysm!
This is the flat horizontal graph
========================================================
Explanation:
If it is possible to pass 1 single vertical line through more than one point on the curve, then that curve is not a function. It is said that the curve fails the vertical line test in this case.
Choice A, B and D are examples of this.
In each of these graphs, we have an input that leads to multiple outputs.
Rule: A function has one output for any given input
Put another way, one input and one output.
The inputs in question must be in the domain.
------------
In choice C, we have any given x input lead to exactly one y output. The graph passes the vertical line test since it's impossible to pass a single vertical line through more than one point on this graph.
This is why choice C is the answer, which is the flat horizontal graph.
Answer:
The third picture represents a function.
Step-by-step explanation:
The vertical line test is basically making sure that two points do not have the same x-coordinate. In the first graph, the two lines share the same x-coordinates on each point, therefore, it is not a function.
The second picture is a vertical line, and functions cannot be a vertical line, therefore it isnt a function.
In the fourth picture, several points have the same x-coordinate as well.
If you still dont understand the vertical line test, heres an example from the fourth picture:
Point (-2,2) and Point (-2,-2) are both points that fall on the curve. They both have the same x-coordinate, -2. Because of this, the graph cannot be a function. Several other points on the graph also share a same x-coordinate.
Hope this makes sense and helps :)
PLSSSS HELPPPPPPOP
Solve each equation for the indicated variable
1) G = 6x , for x
2) U = 2x - 2 , for x
3) Z = m - x , for x
4) G = ca , for a
5) U = x - k , for x
6) G = c + x , for x
7) U = k/a , for a
8) g = xc , for x
9) 12 am = 4 , for a
10) -3 x + 2c = - 3 , for x
11) am = n + p , for a
12) U = ak/b , for a
13) a - c = d - r , for a
14) xm = np , for x
Answer:
Step-by-step explanation:
1) G = 6x , for x: G/6
2) U = 2x - 2 , for x: (1/2)U + 1
3) Z = m - x , for x: m - Z
4) G = ca , for a: G/c
5) U = x - k , for x: U + k
6) G = c + x , for x: G - c
7) U = k/a , for a: k/U
8) g = xc , for x: g/c
9) 12 am = 4 , for a: a = 1/(3m)
10) -3 x + 2c = - 3 , for x: x = 1 +(2/3)c
11) am = n + p , for a: (n+p)/m
12) U = ak/b , for a: U(b/k)
13) a - c = d - r , for a: a = d - r + c
14) xm = np , for x: np/m
Consider the following generic C comparison function and its assembly language representation C code: byte compbyte a,byte b)/a in rdi,b in rsi Assembly code cmpb %rsi,%rdi set_inst %a1 ret Your jobs(fill-in blank):now sh given values of a and b g SET instruction and the A.5 points set CI SF OF %al setg 47 23 B.5 points set h SF OF %a setl 23 47 C.5 points ZA SF OF %al set sete 23 23 D.5 points CF ZF SF OF 00%1 set b setne 23 47
The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:
A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.
B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.
C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.
D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.
Therefore, the correct answer is D. setne 23 47
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what is 106348 + 674? so hard!
Answer:
Its 107,002
Step-by-step explanation:
Answer:
107022
Step-by-step explanation:
yeah totally... it was really hard (sarcasm)
Brainliest??? Plz!!!
(a) Complete the statements below about the graphs of y = -x and y=x.
Compared to the graph of y=x, the graph of y=-x is Choose one
Compared to the graph of y=x, the graph of y = -x intersects the y-axis at Choose one
2
(b) Complete the statements below about the graphs of y=x+
and y=x.
3
2
Compared to the graph of y = x, the graph of y=x+ 5 is Choose one
2
Compared to the graph of y=x, the graph of y=x+
3
intersects the y-axis at Chonse one
a higher point
the same point.
a lower point
Х
?
Answer:
this. question is not clear please send clear question
We can conclude that -
Graphs pass through the origin. (y = x) has a slope of +1 while (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
y = mx also represents direct proportionality. We can write [m] as -
m = y/x
OR
y₁/x₁ = y₂/x₂
We have the following two functions -
y = -x
AND
y = x
Refer to the graphs attached for both the functions -
y = - x and y = x
The graphs as seen pass through the origin. One graph (y = x) has a slope of +1 while the other one (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.
We can conclude that -
Graphs pass through the origin. (y = x) has a slope of +1 while (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.To solve more questions on straight line, visit the link below-
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How is the formula to find the slope between any two points the same as rise/run?
Answer:
because as long as it's the same number, the equation is still the same as long as you have the same numbers and you're using the same subtraction/addition properly
Step-by-step explanation:
A line passes through point A(12,18). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
Answer:
(y - 18) = -3/2 (x - 12)
Step-by-step explanation:
125% of 12 equals 15
75% of 18 equals 13 1/2
so the slope equals 4.5/-3 or -3/2
ow much do nonsmokers increase their risk of developing heart disease by exposing themselves to secondhand smoke at home or work? responses 15 to 20 percent 15 to 20 percent 20 to 25 percent 20 to 25 percent 25 to 30 percent 25 to 30 percent 30 to 35 percent 30 to 35 percent
The risk of developing heart disease is increased by option C: 25–30% for nonsmokers who breathe secondhand smoke at home or at work.
According to the Centers for Disease Control and Prevention (CDC), Nonsmokers who breathe secondhand smoke at home or at work have a 25–30% higher chance of getting heart disease. Additionally, secondhand smoke 20–30% increases the risk of stroke. Secondhand smoking exposure can result in coronary heart disease, heart attacks, and strokes.
Only completely smoke-free environments can totally protect you and your loved ones from the dangers of secondhand smoke. Making sure your home and automobile are properly ventilated is another strategy to safeguard yourself from secondhand smoke. This can assist in lowering the amount of smoke in the air and lowering your exposure.
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Correct question:
How much do nonsmokers increase their risk of developing heart disease by exposing themselves to secondhand smoke at home or work? responses
15 to 20 percent
20 to 25 percent
25 to 30 percent
30 to 35 percent
A rectangular pool is 10 meters wide and 16 meters long.What is the area of the pool? What is asked?What are given?What is/are the operations to be used?What is the number sentence?What is the answer?
A=160 m
Solution:The formula for the Area of a rectangle is:A=LWIn the above formula, L stands for the length and W stands for the width.We are given:L=16 mW=10 mWe are asked to find the area of the rectangular pool.The operation that we're going to use here is:Multiplication.Multiply:A=16*10A=160 mHope it helps.
Do comment if you have any query.
- area: 160 m²
What is asked?- Asked to find the area of the rectangular pool.
What are given?- Given with width of the pool is 10 metres and length is 16 metres.
What is/are the operations to be used?- multiplication
What is the number sentence?- 10 * 16
What is the answer?- area: 160 m²
Additional ===========
area of rectangle = Length * WidthHi, I've solved part a (c = 30), and was wondering if someone would please solve part b? Thanks!
1. The proportion of time per day that all checkout counters in a supermarket are busy is a random variable Y with pdf cy?
(1 – y)2, 0 f(y) = 0 elsewhere. (a) Find the value of c that makes f(y) a valid pdf. b) Find the cumulative probability distribution function F(y).
To find the cumulative probability distribution function (CDF) F(y), we need to integrate the given PDF f(y) from 0 to y:
F(y) = integral of f(y) dy from 0 to y
= integral of c*y*(1-y)^2 dy from 0 to y (substituting c=30 from part a)
= 30*integral of y*(1-y)^2 dy from 0 to y
To integrate this, we can use integration by substitution. Let u = 1 - y, then du/dy = -1 and y = 1 - u. Substituting, we get:
F(y) = 30*integral of (1-u)*u^2 * (-du) from 0 to 1-y
= 30*integral of u^2 - u^3 du from 0 to 1-y
= 30*[u^3/3 - u^4/4] evaluated at 0 and 1-y
= 10*(1 - (1-y)^3 - 3(1-y)^4/4), 0 <= y <= 1
Therefore, the cumulative probability distribution function (CDF) of Y is:
F(y) = {
0, y < 0
10*(1 - (1-y)^3 - 3(1-y)^4/4), 0 <= y <= 1
1, y > 1
}
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HURRRYYY PLEASEEEE ANSWERRRR
Answer:
27*10⁵ is basically 270000.
Consider the initial value problem y' = 2ty + 3, with y(2) = 4 Use Euler's method with step size 1 to find & very crude approximation for y(4). 33. Find a 2-step Euler approximation for y(1.2) if y = 1- x +4y, y(1) = 2 34. Find & 2-step Euler approximation for y(1.2) if y = 3y + t, 9(1) = 1. 35. Use the Euler method with a step size of 0.1 to approximate the value of z(0.3) for the initial value problem =I, I(0) = 2.
The Euler's method with a step size of 1 yields a very crude approximation for y(4) of approximately ___________.
Using the given initial value problem, apply Euler's method with a step size of 1 to approximate the value of y at each step. Start with the initial condition y(2) = 4 and calculate the slope at t = 2 using the differential equation y' = 2ty + 3.
Multiply the calculated slope by the step size (1) and add it to the previous y-value (y(2) = 4) to obtain the approximate value of y at t = 3.
Repeat Step 2, using the newly obtained y-value at t = 3 to approximate the value of y at t = 4.
The final result from Step 3 is the very crude approximation for y(4) using Euler's method with a step size of 1.
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an orange juice producer buys oranges from a large orange grove that has one variety of orange. the amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 4.70 ounces and a standard deviation of 0.40 ounce. suppose that you select a sample of 25 oranges. the probability is 0.77 that the sample mean amount of juice will be greater than what value?
When the probability is 0.77 for the sample mean to be greater than certain value, tis value is solved to be 4.3
How to find the valueThe problem will be solved with t-scores as the number of sample is less than 30
number of sample, n = 25
degree of freedom, df
= n - 1
= 25 - 1 = 24
Assuming a confidence level of 95%, probability of 0.77, with a df of 24 the t-score is 2.064
the question is asking for greater than = 1 - 2.064 = -1.064
Using the formula for t scores
t = (X - μ) / σ
Definition of variables
mean, μ = 4.70
standard deviation, σ = 0.40
-1.064 = (X - 4.7)/0.4
-1.064 * 0.4 = X - 4.7
-0.4256 = X - 4.7
-0.4256 + 4.7 = X
X = 4.2744 approximately 4.3
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