If �
�
=
113
DB=113, �
�
=
95
BC=95, �
�
=
110
DC=110, �
�
=
19
EF=19, and �
�
=
22
GF=22, find the perimeter of △
�
�
�
△EFG. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answers
The perimeter of quadrilateral ΔEFG is 451 units.
To do this, we first need to identify all the sides of quadrilateral ΔEFG. We can see from the figure that there are four sides: AE, EF, FG, and GA. We are given the lengths of two of these sides: EF = 19 and FG = 22. However, we do not know the lengths of the other two sides.
In this case, we can apply this fact to triangle ABG, which has sides AB, BG, and AG. We know that AB = BC + CD = 95 + 110 = 205, and we also know that BG = DC = 110. Therefore, we can use the fact that AB + BG > AG to find that AG < AB + BG, or AG < 315.
In this case, we can apply this fact to triangle DGF, which has sides DG, GF, and DF. We know that DG = DC + EF = 110 + 19 = 129, and we also know that GF = 22. Therefore, we can use the fact that DG + GF > DF to find that DF < DG + GF, or DF < 151.
Now that we have all the side lengths of quadrilateral ΔEFG, we can simply add them up to find the perimeter. Specifically, we have:
Perimeter of ΔEFG = AE + EG + GF + FA
= AG + GE + GF + FA
= (AB + BG) + (DC + EF) + GF + (BC + CG)
= 205 + 129 + 22 + BC
= 356 + BC
We know that BC = 95, so we can substitute this in to find:
Perimeter of ΔEFG = 356 + 95
= 451
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Complete Question:
If DB = 113, BC = 95, DC = 110, EF = 19, and GF = 22, find the perimeter of AEFG. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Related Questions
Write an equation for the following problems and then solve.
1. Ten times a number added to five is nine times the number.
2. Twice the difference of a number and three is the sum of that number and four.
3. Three times a number is two times the difference of that number and one
Answers
Answer: 11,444,091,796,874
Step-by-step explanation: 10 x 2 = 20 + 5 = 25 to the power of nine = 3,814,697,265,625 divided by 2 = 1,907,348,632,812 - 953,674,316,406 = 476,837,158,203 x 3 = 1,430,511,474,609 x 4 = 5,722,045,898,437 so 3 x 2 = 6 - 1 = 5 x 5,722,045,898,437 = 11,444,091,796,874 I hope this helps
The numbers are:
1. 5
2. 10
3. -2
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1. Ten times a number added to five is nine times the number.
let the number be x
Then, 10x + 5 = 9x
10x -9 x= 5
x= 5
2. Twice the difference of a number and three is the sum of that number and four.
let the number be w
Then, 2(w- 3) = w+ 4
2w - 6= w+ 4
w= 10
3. Three times a number is two times the difference of that number and one
let the number be y
Then, 3y = 2( y - 1)
3y= 2y- 2
y= -2
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Mike's age is six more than two times his sister's age. Mike is seventeen years old.Write the equation that could be used to determine the age of Mike's sister.
Answers
Answer:
Mike's sisters age is 5 years old
Step-by-step explanation:
Since Mike is 17 years old, he is six years older than 2 times her age, so we subtract 6 from his age; we get 11 since he is 2 times her age divide 11 by 2 = 5.5. That means that his sister is 5 years old
What is the first derivative of r with respect to t (i.e., differentiate r with respect to t)? r = 5/(t2)Note: Use ^ to show exponents in your answer, so for example x2 = x^2. Also, type your equation answer without additional spaces.
Answers
Answer:
The first derivative of \(r(t) = 5\cdot t^{-2}\) (r(t)=5*t^{-2}) with respect to t is \(r'(t) = -10\cdot t^{-3}\) (r'(t) = -10*t^{-3}).
Step-by-step explanation:
Let be \(r(t) = \frac{5}{t^{2}}\), which can be rewritten as \(r(t) = 5\cdot t^{-2}\). The rule of differentiation for a potential function multiplied by a constant is:
\(\frac{d}{dt}(c \cdot t^{n}) = n\cdot c \cdot t^{n-1}\), \(\forall \,n\neq 0\)
Then,
\(r'(t) = (-2)\cdot 5\cdot t^{-3}\)
\(r'(t) = -10\cdot t^{-3}\) (r'(t) = -10*t^{-3})
The first derivative of \(r(t) = 5\cdot t^{-2}\) (r(t)=5*t^{-2}) with respect to t is \(r'(t) = -10\cdot t^{-3}\) (r'(t) = -10*t^{-3}).
What is the missing statement in the proof?
Statement
Reason
1. ∠TXU ≅ ∠TVS 1. given
2. ∠STV ≅ ∠UTX 2. reflex. prop.
3. △STU is an equilateral triangle 3. given
4. ST ≅ UT 4. sides of an equilat. △ are ≅
5. ? 5. AAS
6. UX ≅ SV 6. CPCTC
△SXU ≅ △TVS
△UVX ≅ △SXV
△SWX ≅ △UWV
△TUX ≅ △TSV
Answers
The missing statement in the proof is ∠SXT ≅ ∠SVT by AAS of similar triangles.
1. ∠TXU ≅ ∠TVS by given
2. ∠STV ≅ ∠UTX by reflex. prop.
3. △STU is an equilateral triangle by given
4. ST ≅ UT because sides of an equilat. △ are ≅
5. ∠SXT ≅ ∠SVT by AAS of similar triangle
6. UX ≅ SV by CPCTC
In △SXU and △TVS, we have already proved that ∠TXU ≅ ∠TVS (statement 1) and ∠STU ≅ ∠VTS (statement 2).
Also, we know that ST ≅ UT (statement 4) and so SX ≅ TV (by subtracting UX from both sides).
Therefore, we have two pairs of congruent angles and a pair of congruent sides that are included between these angles which satisfies the AAS congruence criterion, and so we can conclude that △SXU ≅ △TVS.
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Hi, this is the real Coco Quinn and I would love it if u answer my question, you will be marked brainiest and you get 30 points!!!
The box plots show the lengths of the songs on two digital music players in minutes.
Which statement is best supported by the information in the box plots?
A- The interquartile range of the data for Music Player X is greater than the interquartile range of the data for Music Player Y.
B- The interquartile range of the data for Music Player X is equal to the interquartile range of the data for Music Player Y.
C- The median length of the songs on Music Player X is less than the median length of the songs on Music Player Y.
D- The median length of the songs on Music Player X is equal to the median length of the songs on Music Player Y.
Answers
Answer:
HI ther COCO QUINN i don't know you and never heard of you before in my life so the answer I got is D
Step-by-step explanation:
Answer:
Answer is D
Step-by-step explanation:
1. According to the podcast, why and how is chicken the reason American trucks dominate the truck market in the United States? Briefly explain. 2. Name two reasons a party (e.g., a politician or an industry association) may want to impose a tariff? 3. Who are they usually trying to protect? Who would be hurt by a tariff on automobiles? Explain. 4. Describe how competition encourages innovation? In your answer to this question, include a discussion on why American trucks "basically stayed the same over the years. 5. Describe ways foreign companies tried to get around American-imposed tariffs on automobiles. 6. Do you think the methods you described in your previous answer are efficient for an economy? Why or why not? 7. Lastly, how can a tariff be used as a bargaining chip? In your opinion, is that a good reason to impose tariffs - why or why not?
Answers
1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.
2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.
3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.
4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.
5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.
6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.
7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.
1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.
This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.
To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.
However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.
This led to the development of the modern pickup truck, which is now a staple of the American automobile market.
2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.
Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.
3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.
However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.
4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.
In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.
However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.
5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.
6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.
However, they may be necessary for individual companies to remain competitive in the short term.
Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.
7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.
While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.
In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.
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What is the slope of a line that connects points (5,8) and (10,12)
Answers
Answer:
4/5
Step-by-step explanation:
8-12 = -4
5-10 = -5
4/5
W X
Y
Z
List the sample space for the experiment.
Os = {X, Y, Z}
Os = {W, Z, Z}
Os = {W.Y.Y. Z}
Os = {W, X, Y, Z}
Answers
Answer:
Os = {W, X, Y, Z}
Step-by-step explanation:
The sample space for the experiment is the set of all possible outcomes, in this case, W, X, Y, and Z. It represents all the outcomes that can occur in a single trial of an experiment. The sample space is usually denoted as a set, and the elements in the set are the individual outcomes. In this case, the sample space is the set {W, X, Y, Z}.
Answer:
the answer is the last one
Step-by-step explanation:
os= {w, x, y, z}
Which of the following is not a guideline that can lead to effective brainstorming?
- Build on the ideas of others.
- Eliminate ideas that will be too costly.
- Encourage wild ideas.
- Be visual.
- Go for quantity over quality.
Answers
Eliminate ideas that will be too costly can lead to brainstorming.
Brainstorming:
A brainstorm is a collection of a list of spontaneous ideas that members come together to reach conclusions about a particular problem and generate new ideas and solutions for a particular area of interest. It's a way to encourage group creativity by removing inhibitions. People can think more freely and take in as many spontaneous new ideas as possible. All ideas are accepted without criticism and evaluated after a brainstorming session.
Here are some rules :
1 . Focus Amount:
Focuses on quantity to combine and improve her ideas that encourage extravagant ideas that do not criticize.
a) This "set-oriented" rule is a means of improving divergence generation.
b) Maximizing quantity accelerates problem resolution and improves quality. Activities should aim to generate as many ideas as possible.
c) Keep each idea short and capture the essence of the idea.
d) The more ideas generated, the more likely it is that an effective solution will emerge.
2. Encourage Extravagant Ideas:
Weird and quirky ideas should be welcomed and encouraged.
a) They open up new ways of thinking and offer better solutions than the usual ideas.
b) They can be generated by looking at things from another perspective or by setting aside assumptions.
c) Unusual ideas can produce better ideas.
d) Wishful thinking is very helpful here.
3. Combining and Improving Ideas:
Weird and whimsical ideas should be welcomed and encouraged.
a) They open up new ways of thinking and offer better solutions than the usual ideas.
b) Seeing things from a different perspective or setting aside assumptions can cause them.
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Sarah will mix yellow paint and red paint in the ratio 2 parts yellow to 3 parts red to create a certain shade of orange paint.
She needs 10 quarts of the orange paint. How much will Sarah spend for the paint she needs if the price of the yellow paint
is $5. 50 per quart and the price of the red paint is $6. 25 per quart?
A. $29. 75
B. $58. 00
C. $58. 75
D. $59. 50
E. $117. 50
Answers
$59.50 will Sarah spend for the paint she needs if the price of the yellow paint is $5. 50 per quart and the price of the red paint is $6. 25 per quart
To find the cost of the orange paint, we need to determine how much yellow and red paint Sarah will need to mix in order to make 10 quarts of the desired shade of orange.
Since Sarah is mixing the yellow and red paint in a ratio of 2:3, this means that for every 2 quarts of yellow paint, she will need 3 quarts of red paint. We can use this ratio to set up a proportion:
2 parts yellow : 3 parts red = x quarts yellow : (10 - x) quarts red
where x represents the amount of yellow paint needed.
Cross-multiplying, we get:
2(10 - x) = 3x
Expanding and simplifying:
20 - 2x = 3x
20 = 5x
x = 4
So Sarah will need 4 quarts of yellow paint and 6 quarts of red paint to make 10 quarts of the desired shade of orange.
To calculate the cost, we can simply multiply the amount of each paint by its respective price and add them up:
Cost of yellow paint = 4 quarts * $5.50 per quart = $22.00
Cost of red paint = 6 quarts * $6.25 per quart = $37.50
Total cost = $22.00 + $37.50 = $59.50
Therefore, the answer is D. $59.50.
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The table of values below represent an exponential function. Write an exponential equation that models the data. У 26 -2 -1 18. 2 0 12. 74 1 8. 0918 2 6. 2426 C. A. Y= 18. 2(1. 7) b. Y = 12. 74(1. 3) y = 26(0. 7) d. Y= 12. 74(0. 7) " o
Answers
Therefore , the solution of the given problem of function comes out to be the function is not a simple exponential function. thus, none of the given options are correct.
What does the term function mean?Integers, their subtypes, and arithmetic are all studied in mathematics, along with the country's anatomy, structures, and both real and hypothetical places. A function describes how various variables, each with its own accurate performance, are related to one another. A function is composed of an array of parts that, when combined, result in a distinct output for each input.
Here,
To write an exponential equation that models the data, we need to find the common ratio between successive terms.
Starting with the second term, we can find the ratio between consecutive terms as:
=> -2 / 26 = -1/13
=> 18 / -2 = -9
=> 12.74 / 18 = 0.707
=> 8.0918 / 12.74 = 0.635
=> 6.2426 / 8.0918 = 0.771
The ratios are not constant, so the function is not a simple exponential function. Therefore, none of the given options are correct.
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a large cube is made up of 125 small cubes. in the figure shown below, three sides of the large cube are visible. how many small cubes have at least one of their sides visible from this view?
Answers
Answer:5566
Step-by-step explanation:
You have a deck of t trading cards. You give 15 cards to a friend and have 5 left for yourself. How many cards were in the original deck? Write a simpler, equivalent equation to solve t - 15 = 5 and find the number of cards in the deck
enter your response here trading cards in the deck.
Answers
Answer: 20 cards were in the original deck
Step-by-step explanation:
t - 15 = 5
Reverse the equation
15 + 5 = t
15 + 5 = 20
t = 20
The angle measurements in the diagram are represented by the following expressions. A=5x-5 B=3x+13
Answers
Answer:
Step-by-step explanation: 5x-5=3x+13---> 5x-3x=13+5---> 2x=13+5---- 2x=18----> x=9 hope it helps
Answer:
Step-by-step explanation: 40
Anybody please help me with question 3-5, thank you so much!!! You are a life saver :))))
Answers
Answer:
3) 109.27
4) 58.80
5) 48.65
Step-by-step explanation:
First divide the cost by the number of units to get the individual cost of each item.
Then multiply by the new number of units.
For example: 78.05 ÷ 5 = 15.61 for each.
15.61 x 7 = 109.27
Subtract
f(x) = -5x²+x-2
g(x)=-3x² + 3x +9
Answers
Find the equation of the line that passes through (1,2) and is perpendicular to y=2x +3. Leave your answer in the form y=mx +c
Answers
Answer:
y = -1/2x + 5/2.
Step-by-step explanation:
If a line is perpendicular to another line, the slope of the line is the negative reciprocal of the other. In this case, the line is perpendicular to y = 2x + 3. That means the slope will be -1/2.
Now, we have y = -1/2x + c.
To solve for c, put in the points given.
2 = (-1/2) * 1 + c
c -1/2 = 2
c = 2 + 1/2
c = 4/2 + 1/2
c = 5/2
So, your final answer is that the equation of the line is y = -1/2x + 5/2.
Hope this helps!
Answer:
\(y = -\frac{1}{2} x+\frac{5}{2}\)
Step-by-step explanation:
Perpendicular => So, it would have a slope of negative reciprocal for this slope
Slope = m = -1/2
Now,
Point = (x,y) = (1,2)
So, x = 1, y = 2
Putting in the slope intercept equation to get c
=> \(y = mx+c\)
=> 2 = (-1/2)(1) + c
=> 2+1/2 = c
=> c = \(\frac{4+1}{2}\)
=> c = \(\frac{5}{2}\)
Now, Putting m and c in the slope-intercept equation:
=> \(y = mx+c\)
=> \(y = -\frac{1}{2} x+\frac{5}{2}\)
hana will win a prize if the sum of the two spinners is an even number greater than 8. what are all of the possible outcomes in which hana wins the game? {10, 12} {1, 2, 3, 4, 6, 8} {4, 6, 8, 10, 12} {3, 4, 5, 6, 7, 8, 9, 10, 12}
Answers
Hana will win a prize if the sum of the two spinners is an even number greater than 8. The possible outcomes in which Hana wins the game, based on the given condition, are {10, 12} and {4, 6, 8, 10, 12}.
To determine the possible outcomes in which Hana wins the game, we need to find the sum of the two spinners and check if it meets the given conditions of being an even number greater than 8.
The set {10, 12} satisfies the conditions because both sums (10 and 12) are even numbers greater than 8. Therefore, Hana wins when the outcome is either 10 or 12.
The set {4, 6, 8, 10, 12} also satisfies the conditions since all the sums in this set (4, 6, 8, 10, and 12) are even numbers greater than 8. Thus, Hana wins when the outcome is any of these values.
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How do i solve this?
Answers
Answer:
x = 45/2 or 22.5
Step-by-step explanation:
Since we are given CDE ~ KLM, we know that C is similar to K, D is similar to L, and E is similar to M. The problem asks to find DE, so by comparison, it is known that DE is similar to LM.
From the two triangles, KM is similar to CE, and we can see that the ratio between the two is 8:15. We are given LM, which is 12, so we can find x using this equation to compare the smaller triangle to the bigger one:
KM/CE = LM/DE
Plug in your given values:
8/15 = 12/x
Find x:
x = 45/2 or 22.5
16. PLEASE HELP ME
Solve the equation by factoring.
z2 - 6z - 27 = 0
A. z = 3 or z = 9
B. z = –3 or z = 9
C. z = –3 or z = –9
D. z = 3 or z = –9
Answers
Answer:
B
Step-by-step explanation:
z^2 - 6z - 27 = 0
(z - 9)(z+3) = 0
z - 9 = 0 z + 3 = 0
z = -3, 9
Team members Corinne, Kevin, and Tomas decide to share the cost
of 2 motor controllers and 4 wheels equally. How much does each
member need to contribute?
Please help(write step by step and upload pic or do it here please I appreciate it so much !
Answers
Answer:
each member needs to put in 91.70 dollars in.
Step-by-step explanation:
you add the costs of all the tools needed. in this case the two controllers and wheels which adds up to 275.1.
then you divide by the amount of people which is three. so 275.1/3 and you get 91.7
Write the equation of the shown line in slope intercept form.
Answers
Find the slope of a line parallel to each given line. y = − 1 4 x − 2
Answers
simplify
6 ÷ 3 + 32 · 4 − 2
Answers
Answer:
128 <33
Step-by-step explanation:
6 ÷ 3 + 32 • 4 - 2 = 128
▪︎▪︎▪︎▪︎▪︎▪︎
You decide to start saving money. You start with $0 and after 8weeks, you have $120. You're not sure how much you save each week, but assume that you saved your money at a constant rate from when you started through the 8th week.
(a. Create a graph that can be used to model the amount of money you saved (y) in x weeks. Write the equation for
your graph in y = mx + b form.
b. Explain what the slope of your line represents.
c. Explain how the graph you drew can be used to predict the number of weeks it will take you to save $150. Include in your explanation any assumptions that must be made in order to make this
prediction.)
Writing:
A. The equation for my graph iS...
B. The slope of my line represents..
C: the graph I drew can be used to predict the number of weeks it will take to save $150 because..
Answers
The answer is 10 weeks.
To write the equation for this line in the form y = mx + b, we first need to find the slope and y-intercept. You can find the slope using the two points (0, 0) and (8, 120).
Gradient = (y2 - y1) / (x2 - x1) = (120 - 0) / (8 - 0) = 15
Now that we have the gradient, we can use the point-slope form of linear equations to find the equation in the form y = mx + b.
y - y1 = m(x - x1)
y - 0 = 15(x - 0)
y = 15x
So the formula for the graph is y = 15x.
B. The slope of the line represents the weekly savings rate. In this case the slope is 15. So that person saves him $15 in a week. C. To predict how many weeks it will take to save $150 using the graph, put y = 150 in the formula and solve for x.
y = 15x
150 = 15x
x = 10
So it would take 10 weeks to save $150. However, this assumes that the person continues to save at a steady rate of $15 per week to her, which may not actually be the case. Furthermore, this projection assumes that there are no external factors that could affect a person's ability to save, such as: B. Unexpected expenses or changes in income
Therefore, it would take 10 weeks to save $150.
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Using logarithms, you determined the of 7 solutions ranging from strong acid to neutral to strong base.
Answers
Logarithms are a useful tool in determining the acidity or basicity of a solution. pH is a measure of the concentration of hydrogen ions in a solution and is calculated using the formula pH = -log[H+].
A solution with a pH of 7 is considered neutral, while a pH below 7 indicates acidity and a pH above 7 indicates basicity.
Using logarithms, we can determine the pH of 7 solutions ranging from strong acid to neutral to strong base. To do this, we need to measure the concentration of hydrogen ions in each solution and then use the formula above to calculate the pH.
For example, if we have a solution with a hydrogen ion concentration of 0.001 M, we can calculate the pH as follows:
pH = -log(0.001) = 3
This solution would be considered a strong acid, as it has a pH below 7. Similarly, a solution with a hydrogen ion concentration of 10^-7 M (which is the same as a concentration of 1x10^-7 M) would have a pH of 7 and would be considered neutral.
Finally, a solution with a hydrogen ion concentration of 10^-11 M would have a pH of 11 and would be considered a strong base.
In summary, using logarithms, we can determine the acidity or basicity of a solution by calculating its pH. A pH of 7 is considered neutral, while a pH below 7 indicates acidity and a pH above 7 indicates basicity.
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a small college has 500 freshmen, 400 sophomores, 350 juniors, and 300 seniors. administrators wish to conduct a survey of their students, and they find a simple random sample of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. the overall sample is:
Answers
The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.
To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.
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suppose the average number of hours worked per week for high-school aged teens in the united states is 17 hours per week with a standard deviation of 4 hours. a high school teacher working at an inner city high school is concerned about the time students spend working at after school jobs. she randomly selects 15 of her students and calculates their average work hours to be 14.3 hours per week. identify the population and sample.
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suppose the average number of hours worked per week for high-school aged teens in the united states is 17 hours per week with a standard deviation of 4 hours. So, the number of people selected from the public for a research is known as a sample.
What is standard deviation?Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered. The deviation of each observed value from the mean is measured using this metric. The majority of data in any distribution will fall within a 2 standard deviation range of the mean.
For the given details the correct matching will be:
Parameter - 17 hrs per week
Population - All high-school-aged teens in the US
Statistic - 14.4 hours per week
Sample - 15 students
Population is everything that is taken into account for an experiment since parameters reflect population characteristics and statistics state sample parameters.
The number of people selected from the public for a research is known as a sample.
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Please see the image below(math)
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Answer:
21
Step-by-step explanation:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
AD AH
----- = ---------
AB AH +y
3 9
---- = ------
10 9+y
Using cross products:
3(9+y) = 9*10
27+3y = 90
3y = 90-27
3y =63
y = 63/3
y = 21
Answer:
y = 21
Step-by-step explanation:
According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.
Therefore, according to the Side Splitter Theorem:
\(\boxed{\sf AD : DB = AH : HC}\)
From inspection of the given triangle, the lengths of the line segments are:
AD = 3DB = 7AH = 9HC = yTo find the value of y, substitute the given line segment lengths into the proportion and solve for y:
\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)
Therefore, the value of y is 21.
An isosceles triangle has an angle of 70°. what are the possible values of the other two angles?
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Answer:
55 and 55 or 70 and 40
Step-by-step explanation:
A triangle has 180o and an isosceles triangle has two angles that are the same. As 70 is less than half, we have a couple of possible solutions to this. So one possible solution is 70-55-55. So the other possible solution is 70-70-40.