Answer:
The equation of the vertical asymptote is
x = -20 since that value of x makes the denominator equal to zero.
Help please I don’t get it
a) The expected number of people to die before their 71st birthday is given as follows: 128.
b) The probability that a 67 year old woman will live to her 68th birthday is given as follows: 0.8876 = 88.76%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
0.025679 of the 70 year old men die, hence the expected number out of 5000 is given as follows:
0.025679 x 5000 = 128.
The probability for item b is given as follows:
0.016798/0.018925 = 0.8876 = 88.76%.
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The table shows the responses from 103 people when asked if they support a proposal to expand the public library.
What is the probability of a person responded Yes OR Under the Age of 55?
A. 43%
B. 51%
C. 57%
D. 49%
The probability that a person responded Yes or was under the Age of 55 was C. 57 %
How to find the probability ?The probability that a person who responded either said yes or was under the Age of 55 is:
= Probability that a person answers yes + probability that a person is under 55 - Probability that a person was under 55 and answered yes
The probability a person who responded either said yes or was under the Age of 55 is therefore:
= ( 25 / 103 ) + ( 59 / 103 ) - 17 / 103
= 57 %
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which box plot a, b, or c is a reasonable summary of the data used to create the histogram? there are 16 data points.
The boxplot which is reasonable to the summary of the data used to create the histogram is equals to boxplot A. So, correct answer is option (c).
Histogram is a graph which discribes the distribution of data by using of bars of different heights and same width. In this problem, we'll have a histogram and 3 box plots as box plot A, box plot B and box plot C, and we have to choose here which of these 3 box spots is a reasonable summary of the data. We can see that the histogram in above figure is skewed to left because it's maximum data present on the right end. The box plot C, is representing a normally distributed data, but are data is right side distributed so, it is wrong. Similarly, as we see box plot B shows distribution of data in left end, which is also not right choice. So, boxplot A is correct because it's showing the maximum data and the median where we have. We can see the median line over her median on the right hand. Thus, data is very highly negatively skewed hence boxplot A is appropriate.
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Complete question:
See the above figure, which box plot a, b, or c is a reasonable summary of the data used to create the histogram? there are 16 data points.
a) boxplot C
b) boxplot B
c) boxplot A
Can someone plz help:(
Answer:
60 degress
Step-by-step explanation:
1. Find out the angel of each side. 360 divded by 6 = 60
2. Get the answer of 60
Consider the following differential equation to be solved by variation of parameters. y" + y = sec(θ) tan(θ) Find the complementary function of the differential equation. yc (θ) = Find the general solution of the differential equation. y(θ) = Solve the differential equation by variation of parameters. y" + y = sin^2(x) y(x) =
The general solution is y(x) = yc(x) + yp(x) y(x) = c1 cos(x) + c2 sin(x) - 5/24 + (1/8)cos(2x).
For the first part of the question, we need to find the complementary function of the differential equation y'' + y = sec(θ)tan(θ).
The characteristic equation is r^2 + 1 = 0, which has roots r = ±i.
So the complementary function is yc(θ) = c1 cos(θ) + c2 sin(θ).
For the second part of the question, we need to find the general solution of the differential equation y'' + y = sec(θ)tan(θ).
To find the particular solution, we need to use variation of parameters. Let's assume the particular solution has the form yp(θ) = u(θ)cos(θ) + v(θ)sin(θ).
Then, we can find the derivatives: yp'(θ) = u'(θ)cos(θ) - u(θ)sin(θ) + v'(θ)sin(θ) + v(θ)cos(θ), and
yp''(θ) = -u(θ)cos(θ) - u'(θ)sin(θ) + v(θ)sin(θ) + v'(θ)cos(θ).
Substituting these into the differential equation, we get
(-u(θ)cos(θ) - u'(θ)sin(θ) + v(θ)sin(θ) + v'(θ)cos(θ)) + (u(θ)cos(θ) + v(θ)sin(θ)) = sec(θ)tan(θ).
Simplifying and grouping terms, we get
u'(θ)sin(θ) + v'(θ)cos(θ) = sec(θ)tan(θ).
To solve for u'(θ) and v'(θ), we need to use the trig identity sec(θ)tan(θ) = sin(θ)/cos(θ).
So, we have u'(θ)sin(θ) = sin(θ), and v'(θ)cos(θ) = 1.
Integrating both sides, we get
u(θ) = -cos(θ) + c1, and v(θ) = ln|sec(θ)| + c2.
Therefore, the particular solution is
yp(θ) = (-cos(θ) + c1)cos(θ) + (ln|sec(θ)| + c2)sin(θ).
Thus, the general solution is
y(θ) = yc(θ) + yp(θ)
y(θ) = c1 cos(θ) + c2 sin(θ) - cos(θ)cos(θ) + (c1ln|sec(θ)| + c2)sin(θ)
y(θ) = c1 cos(θ) - cos^2(θ) + c2 sin(θ) + c1 sin(θ)ln|sec(θ)|.
For the second part of the question, we need to solve the differential equation y'' + y = sin^2(x).
The characteristic equation is r² + 1 = 0, which has roots r = ±i.
So the complementary function is yc(x) = c1 cos(x) + c2 sin(x).
To find the particular solution, we can use the method of undetermined coefficients. Since sin²(x) = (1/2) - (1/2)cos(2x), we can guess a particular solution of the form yp(x) = a + bcos(2x).
Then, yp'(x) = -2bsin(2x) and yp''(x) = -4bcos(2x).
Substituting these into the differential equation, we get
-4bcos(2x) + a + bcos(2x) = (1/2) - (1/2)cos(2x).
Equating coefficients of cos(2x) and the constant term, we get the system of equations
a - 3b = 1/2
-4b = -1/2
Solving for a and b, we get a = -5/24 and b = 1/8.
Therefore, the particular solution is
yp(x) = -5/24 + (1/8)cos(2x).
Thus, the general solution is
y(x) = yc(x) + yp(x)
y(x) = c1 cos(x) + c2 sin(x) - 5/24 + (1/8)cos(2x).
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What is the equation of the line that passes through (4, 3) and (2, 2)?
A. y=12x+1
B. y=2x−2
C. y=12x+212
B. y=12x+2
Answer:
A
Step-by-step explanation:
The slope is
\(\frac{3-2}{4-2}=\frac{1}{2}\)
Substituting into point-slope form,
\(y-3=\frac{1}{2}(x-4) \\ \\ y-3=\frac{1}{2}x-2 \\ \\ y=\frac{1}{2}x+1\)
please help me quick i need it and thank you! :)
Answer:
CH = HD (Radius of circumscribing circle)
Therefore CH= 14
Plz mark as brainliest............. hope it helps
Select all the true statements:
A) Two squares with the same side lengths are always congruent
B) Two rectangles with the same side lengths are always congruent
C) Two rhombuses with the same side lengths are always congruent
D) Two parallelograms with the same side lengths are always congruent
E) Two quadrilaterals with the same side lengths are always congruent
Answer:
A and C
Step-by-step explanation:
A) Two squares with the same side lengths are always congruent
C) Two rhombuses with the same side lengths are always congruent.
Two geometric shapes are called congruent if they have the same size and the same shape.
A square has all four sides equal, therefore two squares with the same side lengths are always congruent in all respect (shape and area). Two rhombuses with the same side lengths are always congruent. Two rectangles are congruent if both of them have the opposite sides are equal. Two parallelograms are said to be congruent if all four corresponding sides are equal in length & one corresponding internal angle is equal.Therefore the true statements are A and C.
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Point c is the midpoint of ab and point b is between points a and d. If ad=17 and bd=9 , what is cd ?.
Point c is the midpoint of ab and point b is between points a and d. If ad=17 and bd=9 , then cd = 13.
In the given question,
Point c is the midpoint of ab and point b is between points a and d.
If ad=17 and bd=9
We have to find the value of cd.
ac = cb
ad = 17
bd = 9
ad = ab+bd
17 = ab+9
Subtract 9 on both side, we get
ab = 8
cb = ab/2
cb = 8/2
cb = 4
Hence, cd = cb + bd
cd = 4+9
cd = 13
Hence, the value of cd is 13.
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Evaluate: 5 1
_ - ( _)
8 4
Answer:use some caulk
Step-by-step explanation:
I am a handy man myself
can yall help me out ?
A box in the shape of a rectangular prism is shown below. The box is completely filled with 432 identical cubes. The edge length of each cube is inch long. What is the volume of the box?
The volume of the box is 432 cubic inches
Calculating the volume of the box?From the question, we have the following parameters that can be used in our computation:
Completely filled with 432 identical cubes. Edge length of each cube is 1 inch long.The volume of the box is calculated as
Volume = Number of cubes * Volume of each cube
Where
Volume of each cube = 1 * 1 * 1
Volume of each cube = 1
Substitute the known values in the above equation, so, we have the following representation
Volume = 432 * 1
Evaluate
Volume = 432
Hence, the volume of the box is 432 cubic inches
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I need help I am very confused on this Thank you for your guys help!!
The measure of the side MK of the triangle is 109.6.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. The ratio of the scale of an original object to a new object that is a representation of it but is a different size is known as a scale factor.
For the triangles, the scale factor will be calculated as,
Scale factor = 57 /13
The measure of the side MK will be calculated as,
57 / 13 = MK / 25
MK = ( 57 x 25 ) / 13
MK = 1425 / 13
MK = 109.61
Therefore, the measure of the side MK of the triangle is 109.6.
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Read the case study below and answer ALL the questions that follow. The topic of a research proposal submitted by a Bachelor of Business Administration Honours student at a prestigious Business School in South Africa is: An investigation into the determinants of the sustainability of small and medium-sized enterprises in Soweto The student has proposed a quantitative approach to achieve the three research objectives below: * To determine the sustainability of Small and medium-sized enterprises (SMEs) in Soweto; * To determine the factors (determinants) of SME sustainability in Soweto, and * To make practical recommendations to owner-managers of SMEs in Soweto on how to enhance the sustainability of their businesses Answer ALL the questions in this section. QUESTION 1 (20 Marks) On the basis of the student's research topic and research objectives specified above, answer the following questions: 1.1 With reference to the 5W criteria (What? Who? Why? Where? When?), critically analyse the topic (10 marks) of the research proposal. 1.2 State the aim of the proposed study. (2 marks) 1.3 (3 marks) Formulate three (3) research questions for the proposed study (Hint: the research questions should be based on the student's research objectives ). 1.4 For the proposed study, choose an appropriate research design and motivate your choice. (5 marks) QUESTION 2 (20 Marks) Based on the design you have chosen above in question 1.4 above, discuss the methodology you would follow with regard to the following:
The research proposal focuses on investigating the determinants of the sustainability of small and medium-sized enterprises (SMEs) in Soweto. The research objectives are to determine the sustainability of SMEs, identify the factors that contribute to their sustainability, and provide practical recommendations to enhance their sustainability.
1.1 The research proposal addresses the "what" by examining the determinants of SME sustainability in Soweto. It focuses on "who" by targeting owner-managers of SMEs in Soweto. The "why" is to understand the factors that influence SME sustainability. The "where" is in Soweto, South Africa, and the "when" refers to the time period during which the research will be conducted.
1.2 The aim of the proposed study is to explore and analyze the determinants of sustainability for small and medium-sized enterprises in Soweto, with the ultimate goal of providing practical recommendations to enhance their sustainability.
1.3 Three research questions for the proposed study could be:
What are the key indicators of sustainability for SMEs in Soweto?
What factors contribute to the sustainability of SMEs in Soweto?
How can owner-managers of SMEs in Soweto improve the sustainability of their businesses?
1.4 An appropriate research design for the proposed study could be a mixed-methods approach. This design would involve both quantitative and qualitative data collection and analysis methods. Quantitative data could be collected through surveys or questionnaires to measure indicators of sustainability and assess the relationship between various factors. Qualitative data could be collected through interviews or focus groups to gain a deeper understanding of the experiences and perspectives of owner-managers. The mixed-methods approach would provide a comprehensive and holistic understanding of the determinants of SME sustainability in Soweto and enable practical recommendations to be formulated based on both quantitative and qualitative insights.
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n is a positive integer. (i) Explain why n(n - 1) must be an even number.
Answer:
Since the equation is n(n-1) where n is even, (n-1) will result to an odd number and when multiplied the answer with n( an even number), this will result to an EVEN NUMBER. Therefore, in any number that n can substitute, whether even or odd, the answer will always result to an even number
Step-by-step explanation:
find slope and y-intercept form
Answer:
Slope; -1
y-intercept: (0, 3)
Step-by-step explanation:
The y-intercept is the point at which the line crosses the y-axis. Start at the origin (0, 0) and count the number of squares up to the y-intercept: 3.
So the y-intercept is (0, 3).
Again starting from the origin (0, 0), count the number of squares to the x-intercept, which is where the line crosses the x-axis. Again, that number is 3.
Thus, the slope of this line is m = rise / run = -3 / 3 = -1. A quick glance at the graph shows that y decreases as x increases, which confirms that the slope is negative.
Which of the following statements is INCORRECT?
A. FE = 58
B. DE = 58
C. x = 8
D. DF = 40
Answer: B
Step-by-step explanation:
It says DE is 40 so B is incorrect.
Ali is moving into her new apartment. Her bedroom on the floor plan is 3 inches. If the floor plan uses a scale of 1 inch = 4 feet, what is the actual size of the bedroom?
Answer:
12 feet.
Step-by-step explanation:
1 inch = 4 feet.
Multiply 3 by 4.
3×4=12
I multiplied 3 by 4 because 1-inch equals 4 feet, which means if we multiply both terms by 3, you will get 3 inch = 12 feet.
Hope this helps!
A 48000 gallon water tank is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will it take to fill this tank 3/5 full?
The minutes it will take for the tank to be 3/5 full is 720 minutes.
When the tank be 3/5 full?A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 3/5.
The first step is to determine how many gallons the tank would have when it is 3/5 full. To determine this value, multiply the volume of the tank by 3/5.
Gallons when the tank is 3/5 full = 3/5 x 48,000 = 28,800
Now, divide the speed of the water by the gallons in the tank when it is 3/5 full.
28,800 / 40 = 720 minutes
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What are the missing numbers in the following pattern ?
1, 9 , 25, 49 , -------- , 121 , 169 , ------- , 289 , ----------.
Answer:
81, 225, 361
Step-by-step explanation:
suppose we flip four coins simultaneously: a penny, a nickel, a dime, and a quarter. what is the probability that the penny and nickel both come up heads?
The probability of the coins penny and nickel both should show heads when four coins flip simultaneously is equal to 1/4.
As given in the question,
Number of coins flip simultaneously = 4
Possible outcomes on flipping a outcome = { head , tail}
Total outcomes = 2
Probability of getting a head for each coin = 1 /2
Probability of getting heads on both the coins penny and nickel
= ( 1 / 2 ) × ( 1 / 2 )
= ( 1 / 4 )
Therefore, the probability of getting heads on both the coins penny and nickel is equal to 1 / 4.
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I NEED HRLP PLEASE!
HOMECOMING CONCERT: Kaiwan sold 40 tickets for Young Baby Durk NBA for the Howard Homecoming concert. He sold general admission tickets for twenty dollars each and VIP tickets for thirty dollars each. He collected eight hundred and eighty dollars. How many of each kind of ticket did Kaiwan sell? Write a system of equation using g for general admission and v for VIP tickets. Provide evidence of how your got your answer to prove that your answer is correct by writing your final answer in a complete sentence.
Answer:
he sold 32 general admission tickets
and 8 vip tickets
based on the 2010 census ,the population of gorgia was 9.6 x 10^6 people wihch state has a higher population
New York had the larger population with 1.9 x 10⁷ people. The correct option is B.
To compare the populations of the states, we need to convert all the populations to the same unit of measurement. In this case, all the populations are given in terms of millions (10⁶).
We can see that New York's population is 1.9 x 10⁷, which means 19 million people. Georgia's population is given as 9.6 x 10⁶, which is 9.6 million people. Comparing these two values, it is evident that New York has a larger population than Georgia.
Check the populations of the other states:
Alaska: 7.1 x 10⁵ = 0.71 million people
Wyoming: 5.6 x 10⁵ = 0.56 million people
Idaho: 1.5 x 10⁶ = 1.5 million people
New York's population of 19 million is much larger than any of the other states listed, making it the state with the largest population among the options provided. The correct option is B.
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Complete question:
Based on the 2010 census, the population of Georgia was 9.6 x 10^6 people. Which state had a larger population? A. Alaska: 7.1 x 10^5 B. New York: 1.9 x 10^7 C. Wyoming: 5.6 x 10^5 D. Idaho: 1.5 x 10^6
why is systematic random sampling sometimes used in place of simple random sampling?
Systematic random sampling is sometimes used in place of simple random sampling due to its efficiency, representativeness, ease of implementation, and cost-effectiveness.
Systematic random sampling is sometimes used in place of simple random sampling for several reasons, including:
Efficiency:
Systematic random sampling can be more efficient than simple random sampling, as it involves selecting elements at regular intervals from the population.
This often reduces the time and effort needed to collect data compared to simple random sampling.
Representativeness:
Systematic random sampling may provide a more representative sample of the population.
By selecting elements at regular intervals, it ensures that different segments of the population are included, reducing the potential for sampling bias.
Ease of implementation:
Systematic random sampling is relatively easy to implement, as it involves fewer random selections compared to simple random sampling.
This makes it more practical for large populations or when a sampling frame is not readily available.
Cost-effectiveness:
Systematic random sampling can be more cost-effective than simple random sampling.
Since the process is more efficient, it may require fewer resources, such as time and personnel, to collect data.
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How does the cost of shirts compare to the cost of the magnets? *
The cost of the shirts is ____ times as much as the cost of magnets.
Answer:
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Step-by-step explanation:
Answer:
$0.95
Step-by-step explanation:
express cos T as a fraction in simplest terms .
Check the picture below.
The value of cos in the right-angled triangle as a simple fraction is
24/25.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
We know cos = adjecen/hypotenuse.
Here the value of the adjacent is 48 and the value of the hypotenuse is 50.
Therefore, Expressing cos as a fraction in simplest terms would be,
cos = 48/50.
cos = 24/25.
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Solve for a.
ба -15=72
A.27
B.12
C.9 1/2
D.14 1/2
Answer:
a= 14.5
Step-by-step explanation:
6a - 15= 72
You should move the able variables to the opposite side so it would be easier for you.
= 6a = 72+15
= 6a = 87
Then you want to isolate (a) so you should divide 6 on each sides to get (a) alone.
\( \frac{6 a}{6} = \frac{87}{6} \)
The 6 cancels out with the 6 so now we have :
a = 14.5
10xsquared + 19 x - 15
The solution of the quadratic equation is x = 0.6 and x = -2.5.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The given equation is 10x² + 19x - 15.
The equation will be solved as below,
x =(-b±√(b²-4ac) / 2a
x = [-19±√(19²-(4 x 10 x -15)]/20
x = [-19 ± √961 ] / 20
Take plus sign first,
x = [-19 + 31 ] / 20
x = 0.6
Take a negative sign,
x = [-19 -31]/20
x = -2.5
Therefore, the solution of the quadratic equation is x = 0.6 and x = -2.5.
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What is the simplified value of the expression m/n if m=4/5 and n= −0.25
Answer:
The simplified value of the expression m/n if m=4/5 and n= −0.25 is -16.
Step-by-step explanation:
GIVE ME BRAINLEST!!!!!!!!!!!!!!!!!!!
HELP IS THE ANSWER 638.30 OR 106.38?
Ramon is filling cups with juice. Each cup is shaped like a cylinder and has a diameter of 4.4 inches and a height of 7 inches. How much juice can Ramon pour into 6 cups? Round to the nearest hundredth and approximate using π = 3.14.
2,553.20 cubic inches
638.30 cubic inches
425.53 cubic inches
106.38 cubic inches
The amount of juice that can be poured into 6 cups with a diameter of 4.4 inches and a height of 7 inches is 638.30 cubic inches (rounded to the nearest hundredth).
Solution:We can use the formula to find the volume of a cylinder,V = πr²hwhere V is the volume of the cylinder, r is the radius of the base, h is the height of the cylinder, and π is the mathematical constant approximately equal to 3.14.To begin solving this problem, we must first find the radius of the base of the cylinder.
Since the diameter of each cup is given as 4.4 inches, the radius is half of this, or 2.2 inches.Now we can use the formula for the volume of a cylinder, with r = 2.2 inches and h = 7 inches.V = πr²hV = 3.14(2.2)²(7)V ≈ 106.38 cubic inches
This is the volume of juice that can be poured into a single cup. To find the total volume of juice that can be poured into 6 cups, we multiply this by 6.6(106.38) ≈ 638.30 cubic inches
Therefore, the answer is 638.30 cubic inches.
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