Answer:
x = 58°, y = 32°
Step-by-step explanation:
all sides are equal, hence it is a rhombus.
in a rhombus, diagonals meet at 90degree..
hence in triangle,
58 + 90 + z = 180 (asp of a triangle.)
z = 32
y = z ( alternate interior angles as lines are parallel in rhombus)
y = 32
in the bigger triangle,
angles opposite to equal sides are equal, hence,
32 + 32 + (58 + x) = 180 ( angle sum property of a triangle,)
hence, x = 58
therefore,
x = 58°, y = 32°
does this situation involve descriptive statistics or inferential statistics? a recent report estimates that four out of every five dentists recommend a brand of toothpaste. responses descriptive statistics descriptive statistics inferential statistics
A recent report estimates that four out of every five dentists recommend a brand of toothpaste situation involves Inferential statistics.
Inferential statistics are widely employed to compare the differences between the treatment groups. Inferential statistics compare the treatment groups and make generalizations about the subject population using data from the experiment's sample of subjects. To offer answers for a situation or phenomena, inferential statistics is helpful. It differs fundamentally from descriptive statistics, which do not allow for result extrapolations and merely report the data that has already been measured.
Learn more about Inferential Statistics method here
https://brainly.com/question/28352023
#SPJ4
A large city has a population of 8,000,000 and an area of 20.5 square miles. what is the city's approximate population density?
Answer: Approximately 390,244 people per square mile
Work Shown:
Density = population/area
Density = (8 million people)/(20.5 square miles)
Density = 390,243.9024 approximately
This rounds to 390,244 since we're talking about the number of people.
Find the volume of the rectangular prism. O 4 m3 O 7 m3 O 28 m3 O 8 m3
ANSWER:
The volume of the rectangular prism is 4 m^3
STEP-BY-STEP EXPLANATION:
We have that the volume of a rectangular prism is given by the following formula
\(\begin{gathered} V=l\cdot w\cdot h \\ \text{where l is the length, w is the width and h is the height} \end{gathered}\)replacing:
\(\begin{gathered} V=4\cdot2\cdot1 \\ V=8 \end{gathered}\)About how many times greater was change in price per gallon in 2007 than 2000? Show your work or explain how u determind your answer.
The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b
Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b
Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
This short case deals with a company that produces knock-off
board games like Monopoly. It illustrates that a plant can use
multiple types of transformation systems simultaneously. It also
illustrates
X.Dpriy, Lse, was founded by two frse-year conlege stedents serves us rhe substrate lor the actual gime bourd The garme 10 produce a knockoif rest estate beard game similar to the board consists of nw
The given case study illustrates that a plant can use multiple types of transformation systems simultaneously. X .Dpriy, Lse was founded by two first-year college students and serves as the substrate for the actual game board. The game to produce a knockoff real estate board game similar to Monopoly. To make a knock-off board game like Monopoly, multiple transformation systems are needed. These include:
Material Handling: Material handling is the process of transporting raw materials, semi-finished goods, and finished goods from one location to another within the plant or facility. In the case of X.Dpriy, Lse, the material handling system moves the raw materials from the storage area to the production line.
Processing: The processing system transforms the raw materials into finished goods. In the case of X.Dpriy, Lse, the processing system involves the printing of the board game, packaging, and assembly.
Quality Control: Quality control is the process of ensuring that the finished goods meet the specified quality standards. In the case of X.Dpriy, Lse, the quality control system involves checking for errors or defects in the printing, packaging, and assembly processes.
Information Processing: Information processing systems involve the management of data, information, and knowledge within an organization. In the case of X.Dpriy, Lse, information processing systems are used to manage inventory, track sales, and analyze customer data.
Know more about transformation systems here:
https://brainly.com/question/32382582
#SPJ11
in one recent year, 630 different pitchers pitched to at least one batter in a major-league baseball game. if the probability of a randomly-selected person being left-handed is 0.117, how many of those pitchers would you expect to be left-handed? round to the nearest whole person.
You would expect 73 left-handed pitchers out of the 630 total pitchers in a major-league baseball game in one recent year.
The probability of a randomly selected person being left-handed is 0.117. Using this information, the expected number of left-handed pitchers in a group of 630 can be determined using the formula:
Expected Value = (Probability of Event) * (Number of Trials)
Expected Value = (0.117) * (630)
Expected Value = 73.31
Therefore, you would expect 73 left-handed pitchers out of the 630 total pitchers in a major-league baseball game in one recent year.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
What is a complete circle in radians?
Answer:
The radian is a unit of measure for angles used mainly in trigonometry. ... Whereas a full circle is 360 degrees, a full circle is just over 6 radians. A full circle has 2π radians (Roughly 6.28) As seen in the figure above, a radian is defined by an arc of a circle.
ind the area of the region bounded by the curves y=110x2 4y=110x2 4 and y=xy=x and the vertical lines x=−4x=−4 and x=8x=8.
The area of the bounded region is 946.46 square units (rounded to two decimal places).
To find the area of the region bounded by the curves, we need to find the points of intersection between the curves.
Setting the two equations equal to each other gives:
110x² = x
Simplifying:
110x² - x = 0
Factor out x:
x(110x - 1) = 0
Solve for x:
x = 0 or x = 1/110
So the two curves intersect at x=0 and x=1/110.
To find the area, we integrate y=110x² from x=-4 to x=1/110 and y=x from x=1/110 to x=8.
∫(110x²) dx from x=-4 to x=1/110 + ∫x dx from x=1/110 to x=8
= (110/3)(1/110)³ - (-4)(110) + (1/2)(8²) - (1/2)(1/110)²
= 946.46 square units (rounded to two decimal places)
To learn more about the area;
https://brainly.com/question/27683633
#SPJ1
In point estimation Question 15 options: data from the population is used to estimate the population parameter. data from the sample is used to estimate the population parameter. data from the sample is used to estimate the sample statistic. the mean of the population equals the mean of the sample.
In point estimation, data from the sample is used to estimate the population parameter. This is done by taking a sample from the population and then using the data from the sample to estimate the population parameter. The sample statistic is used as an estimate of the population parameter.
The mean of the sample is also used as an estimate of the population mean. Point estimation is a statistical technique for estimating population parameters from a sample of data. It is based on the idea that the sample statistics such as the mean or proportion can be used to estimate the population parameters such as the population mean or proportion. The accuracy of the estimate depends on the size of the sample and the variability of the data.
In summary, in point estimation, the data from the sample is used to estimate the population parameter. The sample statistic, such as the mean of the sample, is used as an estimate of the population parameter.
To know more about population parameter visit:
https://brainly.com/question/28175212
#SPJ11
Which expression is equivalent to 4(x+2)?
6x
4(x)+4(2)
4(x)+4
8x
Answer:
B
Step-by-step explanation:
4(x+2)
4(x)+4(2)
4x+8
-hope it helps
Multiplying five digit numbers please help !!!
Answer:
419,820
Step-by-step explanation:
6997
× 60
-------
0000
+ 419,820
-----------------
419,820
Step 1: Multiply every number by 0
7 × 0 = 0
9 × 0 = 0
9 × 0 = 0
6 × 0 = 0
Step 2: Add a 0 and multiply the numbers by 6
0
6 × 7 = 42 (keep the 2 and move the "4" to the next number)
6 × 9 = 54 + 4 = 58 (keep the 8 and move the "5" to the next number)
6 × 9 = 54 + 5 = 59 (keep the 9 and move the "5" to the next number)
6 × 6 = 36 + 5 = 41 (keep 41 how it is)
419,820
I hope this helps!
Father's age is five times than the son's age. If the sum
of their ages is 60 years, find their present ages.
Answer:
The son is 10, and the father is 50.
Step-by-step explanation:
10 times 5 would be 50, and 50+10 is 60.
Answer:
Father: 50
Son: 10
Step-by-step explanation:
Son's age: S
Father's age: F
F=5S
F+S=60.
Substitute.
5S+S=60
6S=60
S=10
F=50. As a check, 10+50=60 and 50/5=10.
Hope this was helpful.
~cloud
a cafe lets you order a deli sandwich your way. there are : e1, six choices for bread; e2, four choices for meat: e3, four choices for cheese; and e4, 12 different garnishes (condiments). what is the number of dffferent sandwich possibilities, if you may choose one bread, 0 or 1 meat, 0 or 1 cheese, and from 0 to 12 condiments? (multiplication principle) (not allowing repetition for bread, meat and cheese) (allowing repetition for condiments)
The number of different sandwich possibilities is 1081.
To calculate this, we must use the multiplication principle. We will begin by calculating the number of possibilities for the bread, meat, and cheese. There are 6 different breads, 4 different meats, and 4 different cheeses. So, there are 6 x 4 x 4 = 96 possible combinations for the bread, meat, and cheese. Next, we must calculate the number of possibilities for the condiments. Since we are allowing repetition for the condiments, we can calculate the possibilities by multiplying 12 (the number of condiments) by itself. So, there are 12 x 12 = 144 possibilities for the condiments. Lastly, we can multiply 96 (the number of bread, meat, and cheese combinations) by 144 (the number of condiment combinations). This yields 1081 different sandwich possibilities.
Learn more about Multiplication Principle here:
https://brainly.com/question/17514196
#SPJ4
Please check the attached picture, please answer thoroughly!
The selection depends on individual needs, preferences, and the intended use of the tiny house.
a) To find the amount of space inside each house, we need to calculate the volume for each design.
House on the left:
Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³
Triangular house:
Volume of a triangular prism = (base area x height) / 2
Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²
Volume = (20 m² x 7 m) / 2 = 70 m³
b) When comparing the environmental impacts of each house, several factors need to be considered:
Positive impacts:
1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.
2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.
3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.
Negative impacts:
1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.
2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.
3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.
c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:
The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.
The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.
Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.
for more such question on intended visit
https://brainly.com/question/31252264
#SPJ8
Pls help math need help
Answer:
C
Step-by-step explanation:
Student 2 made an error with the distributive property.
Find cos (P)
74
70
P
24
R
Answer:
Cos P = 12/37
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
Cos theta = adj / hyp
cos P = 24 / 74
Cos P = 12/37
What is the solution of the system of equations
Y=1/8x-1
-5x+4y= - 13
Answer:
(2.57, -0.07)
Step-by-step explanation:
To solve the system of equations, we can substitute the expression for y in the second equation:
-5x + 4(1/8x - 1) = -13
We can then simplify and solve for x:
-5x + (1/2)x - 4 = -13
-3.5x = -9
x = 2.57
We can then substitute this value of x back into the first equation to find the value of y:
y = 1/8(2.57) - 1
y = -0.07
So the solution of the system of equations is (x, y) = (2.57, -0.07)
a book contains 1 to 124 pages numbered from 1 to 124 how many times does the digit 7 appear
answer please will mark brainliest
The Volume of the given Hemisphere is 1071.8 cm³ rounded to 1 decimal place whose radius is 8cm
The Volume of the sphere is given by the formula 4/3 πr³
The volume of hemisphere is half of sphere
So, The volume of hemisphere is 2/3 πr³
From the given figure it is clear that the radius of the hemisphere is 8cm
Here, we will use the value of π as 3.14 and not 22/7
So, Substituting the values in the formula of Volume of hemisphere
the Volume of hemisphere =2/3 π (8)³
=2/ 3× 3.14 × 512
= 1071.7867 cm³
Hence, the Volume of hemisphere 1071.7867 cm² or 1071.8 cm² rounded to 1 decimal place whose radius is 8cm
To know more about Volume of hemisphere - https://brainly.com/question/23178590
#SPJ1
Blue points, blue line segments, red points, and red line segments arranged on a Cartesian coordinate plane. Here are the blue points and their coordinates. Point A: (negative nine, 3). Point B: (negative 11, 3). Point C: (negative 10, 3). Point D: (negative 10, 5). Point F: (negative 10, 4). Point E: (negative 11, 4). Here are the red points and their coordinates. Point A-1: (negative 1, 6). Point A-2: (negative 3, 4). Point B-1: (negative 2, 4). Point B-2: (negative 5, 4). Point C-2: (negative 3, 3). Point D-1: (negative 5, 5). Point D-2: (negative 5, 3). Point E-1: (negative 6, 6). Point F-1: (negative 5, 6). A semicircle that lies below its line of symmetry AB. A semicircle that lies above its line of symmetry B-2 A-2. A triangle DEF. A triangle D-1 E-1 F-1. Line segments are drawn from C to D, from A-1 to B-1, from A-2 to B-2, and from C-2 to D-2. Triangle DEF, segment CD, and the semicircle with line of symmetry BA are arranged so that they look like a boat.1.What transformations would you use on the blue triangle to get it to match with the red triangle? Explain your movement using the coordinates of the vertices.
Transformation blue triangle.
Point D.
coordinates(-10,5)
and the point D1 have coordinates: (-5,5)
The transformation will be over the x-axis:
\(\begin{gathered} D(-10,5) \\ D(-10+5,5)=(-5,5) \end{gathered}\)Point F.
Coordinates(-10,4 ).
Ans the point F1 have coordinates: ( -5,6)
The transformation will be over both axis, x and y:
\(\begin{gathered} F=(-10,4) \\ F(-10+5,\text{ 4+2 })=(-5,\text{ 6}) \end{gathered}\)Point E.
Coordinates: (-11,4)
The point E1 have coordinates: (-6, 6),
The tranformation will be over both axis once again.
\(\begin{gathered} E(-11,\text{ 4}) \\ E(-11+5,\text{ 4+2})=(-6,6) \end{gathered}\)Conclusion: on the x-axis, it shifts 5 points to the right, while on the y-axis it shifts up 2 points only for points E and F.
How do you do multiple long?
Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.
supporting answer:
what is multiple long?
Finding the product is not always this simple. In such cases, the long method of multiplication is used.
body of the answer:
let us understand long multiplication by taking an example
Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.Multiply the top number's one digit by the bottom number's one digit.Put a 0 below the ones digit,Multiply the top number's ones digit by the bottom number's tens digit.Multiply the top number's tens digit by the bottom number's tens digit.6.Add the two partial products
final answer: by following above steps we can perform long multiplication
to learn more about long multiplication from the given link
https://brainly.com/question/14416366
#SPJ4
Long multiplication is a method of multiplying two difficult-to-multiply numbers.
What is multiple long?
Finding the product is not always this simple. In such cases, the long method of multiplication is used.
Let us understand long multiplication by taking an example
1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.
2. Multiply the top number's one digit by the bottom number's one digit.
3. Put a 0 below the one's digit,
4. Multiply the top number's ones digit by the bottom number's tens digit.
5. Multiply the top number's tens digit by the bottom number's tens digit.
6. Add the two partial products
By following the above steps we can perform long multiplication
To learn more about long multiplication from the given link
brainly.com/question/14416366
#SPJ4
Assume that each year the IRS randomly audits 20% of the tax returns. If a married couple has filed separate returns, answer the following questions. (a) What is the probability that both the husband and the wife will be audited? ____
(b) What is the probability that only one of them will be audited? ____
(c) What is the probability that neither one of them will be audited? _____
(d) What is the probability that at least one of them will be audited? ___
a) The probability that both the husband and the wife will be audited is 0.04.
b) The probability that only one of them will be audited is 0.32.
c) The probability that neither one of them will be audited is 0.36.
d) The probability that at least one of them will be audited is 0.36.
(a) The probability that both the husband and the wife will be audited is calculated by multiplying the probability that the husband will be audited by the probability that the wife will be audited. Since the audits are assumed to be independent, we can use the multiplication rule of probability:
P(both audited) = P(husband audited) x P(wife audited)
= 0.2 x 0.2
= 0.04
(b) The probability that only one of them will be audited can be calculated in two ways: either the husband is audited and the wife is not, or the wife is audited and the husband is not. Since these events are mutually exclusive, we can use the addition rule of probability:
P(one audited) = P(husband audited and wife not audited) + P(wife audited and husband not audited)
= (0.2 x 0.8) + (0.8 x 0.2)
= 0.32
(c) The probability that neither one of them will be audited is the complement of the probability that at least one of them will be audited. Using the complement rule of probability, we can write:
P(neither audited) = 1 - P(at least one audited)
We can find the probability that at least one of them will be audited by subtracting the probability that neither of them will be audited from 1. So:
P(at least one audited) = 1 - P(neither audited)
= 1 - (0.8 x 0.8)
= 0.36
(d) The probability that at least one of them will be audited is 0.36, as we found in part (c).
To learn more about probability click on,
https://brainly.com/question/29341046
#SPJ4
Solve 5ax + 3ax = 4ax + 12 for x. Assume a ≠ 0.
Answer:
c. 3/a
Step-by-step explanation:
5ax + 3ax = 4xa+ 12, combine like terms
8ax = 4ax + 12, minus 4ax on both sides
4ax = 12, divide 4a on both sides
youll be left with x = 3/a
Please help solve
\(\left \{ {{y=-2x+6} \atop {y= x-3}} \right.\)
\(\left \{ {{y=5x-4} \atop {y=4x+12}} \right.\)
\(\left \{ {{y=\frac{2}{3}x-4 } \atop {y=-\frac{4}{3}+9 }} \right.\)
\(\left \{ {{4y+7x=6} \atop {4y+7x =-5}} \right.\)
\(\left \{ {{y=0.24x} \atop {y=20.18x+0.9} \right.\)
\(\left \{ {{y=4.5x+15} \atop {y=5x+1.25}} \right.\)
\(\left \{ {{y=3x} \atop {x+y=52} \right.\)
How many times does 20 go into 168?
Answer:
8.4
Step-by-step explanation:
How many times 20 goes into 168 = 168/20
= 8.4
Pls mark as brainliest <3
6 in
10 in
8 in
a. What is the volume of the prism, in cubic inches?
12 in
b. What is the surface area of the prism, in square inches?
The total surface area and volume of prism are:
Volume = 576 in³
Total Surface Area = 336 in²
How to find the surface area and volume of the prism?The volume of the prism is calculated as:
Volume = Base Area * Height
Thus, we have:
Volume = (12 * 8) * 6
Volume = 576 in³
The total surface area is the sum of the surface area of all individual surfaces and as such we have:
Total Surface Area = (8 * 12) + (12 * 6) + (12 * 10) + 2(0.5 * 8 * 6)
Total Surface Area = 96 + 72 + 120 + 48
Total Surface Area = 336 in²
Read more about surface area and volume at: https://brainly.com/question/30794567
#SPJ1
What is the mean absolute deviation of the following set of numbers?: {5,12,19,4,23,33}
Therefore, the mean absolute deviation of the given set {5, 12, 19, 4, 23, 33} is 9.
To find the mean absolute deviation (MAD) of a set of numbers, follow these steps:
Calculate the mean of the set by summing all the numbers and dividing by the total count. For this set:
(5 + 12 + 19 + 4 + 23 + 33) / 6 = 96 / 6
= 16
Find the absolute difference between each number and the mean. Absolute difference is the positive difference between two numbers. For this set:
Absolute differences:
|5 - 16| = 11
|12 - 16| = 4
|19 - 16| = 3
|4 - 16| = 12
|23 - 16| = 7
|33 - 16| = 17
Calculate the mean of the absolute differences. Sum the absolute differences and divide by the total count. For this set:
(11 + 4 + 3 + 12 + 7 + 17) / 6 = 54 / 6
= 9
To know more about mean absolute deviation,
https://brainly.com/question/9329524
#SPJ11
Does anyone know how to do this !!!
The area of the field is 10,765.44 square meters.
Given that:
Diameter, d = 72 m
Width, W = 72 m
Length, L = 93 m
The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
The area of the field is calculated as,
A = (π/4)d² + W·L
A = (3.14 / 4) x 72² + 72 x 93
A = 4,069.44 + 6,696
A = 10,765.44 square meters
The area of the field is 10,765.44 square meters.
More about the area link is given below.
https://brainly.com/question/27683633
#SPJ1
the use of a ""thumbs-up"" gesture to symbolize the statement ""good luck""
The use of a "thumbs-up" gesture to symbolize the statement "good luck" is a common practice in many cultures. This gesture is typically used to express approval or agreement, but it can also be used to convey positive wishes, such as wishing someone good luck before an exam or a job interview.
It is believed that this gesture originated in ancient Rome, where it was used as a sign of approval in the gladiatorial arena. Today, the thumbs-up gesture has become a universal symbol of positivity and encouragement. So, if you want to wish someone good luck, a thumbs-up gesture is a great way to do it!
The use of a "thumbs-up" gesture to symbolize the statement "good luck" involves the following steps:
1. Extend your arm: To perform the thumbs-up gesture, first extend your arm in the direction of the person you want to wish good luck.
2. Make a fist: Close your fingers into a fist, with your thumb pointing upwards.
3. Show your thumb: Ensure that the thumb is clearly visible and pointing upwards. This represents the "thumbs-up" gesture.
4. Make eye contact: Look at the person you're wishing good luck to, so they know the gesture is directed at them.
By performing the thumbs-up gesture, you're using a universally recognized symbol to convey your positive sentiment and wish someone good luck in their endeavors.
Learn more about gesture at: brainly.com/question/12115354
#SPJ11
Which values of x are point(s) of discontinuity? x = –6 x = –2 x = 0 x = 2 x = 4.
Discontinuity is the value of x or y for which the function is not defined. The function is discontinued at points x=0 and x=4.
What is discontinuity?The discontinuity is the value of x or y for which the function is not defined. It is represented by a blank dot at the point at which it is not defined.
The discontinuity of the function is represented by a blank dot, and it is the point where the function is not defined.
If we look in the graph, we will find that there are three blank dots, which are at:
x = -2
x = 0
x = 4
Now, since discontinuity means that the function is not defined but as we can see that the value of the function is defined at x = -2, therefore, we are left with only two options which are x=0 and x=4.
Hence, the function is discontinued at points x=0 and x=4.
Learn more about Discontinuity:
https://brainly.com/question/2750981
Answer:
1. b,c,e
2. c
Step-by-step explanation: