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The functions f(x)=−2x+2 and g(x)=(1/3)x+1 are shown in the graph. What are the solutions to −2x+2=(1/3)x+1? Select EACH correct answer.
−1
0
2
3
4
Answer:
-1
Step-by-step explanation:
my bad if i get it wrong
Answer:
-1 , 0
Step-by-step explanation:
I took the Quiz, and using desmos graphing calculator helps a lot.
HELP ME WITH THIS I NEED TO ANSWER IT ASAP
Answer: 3
Step-by-step explanation:
Answer:
125x
125 x 12 = 1500
Step-by-step explanation:
1000/8=125
The state test scores for 12 randomly selected high school seniors are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. 1420 1227 989 691 726 833 722 747 547 630 1442 948
(a) Find the sample mean. x overbarequals nothing (Round to one decimal place as needed.)
(b) Find the sample standard deviation. sequals nothing (Round to one decimal place as needed.)
(c) Construct a 90% confidence interval for the population mean mu. A 90% confidence interval for the population mean is
A 90% confidence interval for the population mean (μ) is approximately 766.26 to 1054.13(rounded to the nearest whole number).
(a) To find the sample mean (x), we need to sum all the scores and divide by the number of scores (which is 12 in this case):
X = (1420 + 1227 + 989 + 691 + 726 + 833 + 722 + 747 + 547 + 630 + 1442 + 948) / 12
X ≈ 910.16
The sample mean (x) is approximately 838.75 (rounded to one decimal place).
(b) To find the sample standard deviation (s), we need to follow these steps:
Find the sample mean (x) obtained in part (a).
Subtract the sample mean from each individual score, square the result, and sum all the squared values.
Divide the sum of squared values by (n-1) (where n is the number of scores, which is 12 in this case).
Take the square root of the result.
Let's calculate:
x ≈910.16 (from part a)
Calculate the squared differences from the mean and sum them up:
\(=(1420 - 910.16)^2 + (1227 - 910.16)^2 + (989 - 910.16)^2 + (691 - 910.16)^2 + (726 - 910.16)^2 + (833 - 910.16)^2 + (722 - 910.16)^2 + (747 - 910.16)^2 + (547 - 910.16)^2 + (630 - 910.16)^2 + (1442 - 910.16)^2 + (948 - 910.16)^2\)
= 1011125
Divide the sum of squared differences by (n-1):
\(s^2 = 329230.3125 / (12 - 1)\)
\(s^2 \approx 91920.45\)
Take the square root of s^2 to get the sample standard deviation (s):
s ≈ √91920.45
s ≈ 303.18
The sample standard deviation (s) is approximately 303.18 (rounded to one decimal place).
(c) To construct a 90% confidence interval for the population mean (μ), we can use the formula:
Confidence interval = x ± (z * (s / √n))
Since the population is assumed to be normally distributed, we can use a z-table to find the critical value for a 90% confidence level. The critical value for a 90% confidence level is approximately 1.645.
Now, let's calculate the confidence interval:
Confidence interval = 910.16± (1.645 * (303.18/ √12))
Lower bound of the confidence interval = 910.16 - 143.97
= 766.26
Upper bound of the confidence interval = 910.16+143.97 =
= 1054.13
A 90% confidence interval for the population mean (μ) is approximately 766.26 to 1054.13(rounded to the nearest whole number).
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A movie theater is considering a showing of Puppet Master for a 80's thowback night. In order to ensure the success of the evening, they've asked a random sample of 53 patrons whether they would come to the showing or not. Of the 53 patrons, 30 said that they would come to see the film. Construct a 95% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing.
What is the point estimate for the true proportion of interested patrons? (please input a proportion accurate to four decimal places)
the point estimate for the true proportion of interested patrons is 0.566.Given that a movie theater is considering a showing of Puppet Master for an 80's throwback night.
To ensure the success of the evening, they asked a random sample of 53 patrons whether they would come to the showing or not.
Of the 53 patrons, 30 said that they would come to see the film.
We are supposed to find the point estimate for the true proportion of interested patrons. Point estimate:
The point estimate for the true proportion of interested patrons is 0.566. (To four decimal places)
Explanation: In order to find the point estimate of the true proportion of interested patrons, use the formula:
Point estimate = sample proportion= Number of patrons
who said that they would come to see
the film / Total number of patrons surveyed
= 30 / 53= 0.566 ,
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X - 3.5 > 6.9
Pls what is the solution to the inequality
Answer:
x > 10.4
Step-by-step explanation:
Isolate X by adding 3.5 to each side of the inequality
That leaves you with x > 6.9 + 3.5
Find the cube roots of i. Round all numbers to 3 decimal places. Enter 0s or 1s in the appropriate boxes to answer 0 + i, 1+0i, etc.
The cube roots of i are:
0.866 + i(0.5)-0.866 + i(0.5)0 - iGiven:
cube root of i
i can be written as cosπ/2 + i sinπ/2
i = cos π/2 + i sinπ/2
general form:
i = cos (2kπ + π/2) + isin(2kπ + π/2) for k=0,1,2
= cos (4kπ+π/2) + i sin(4kπ+π/2)
= cos (4k+1)π/6 + i sin(4k+1) π/6
k = 0: i¹/³ = cos π/6 + i sin π/6
= √3/2 + i 1/2
K = 1, i¹/³ = cos(5π/6) + i sin(5π/6)
= cos(π - π/6) + i sin (π-π/6)
= - cos (π/6) + isin(π/6)
= -√3/2 + i 1/2
k = 2, i¹/³ cos(3π/6) + i sin(3π/6)
= cos (3π/2) + i sin(3π/2)
= cos(π+π/2) + i sin(π+π/2)
= -cos(π/2) - i sin(π/2)
= 0 - i
= -i
Hence we get the required roots.
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assume a simple model with only two countries: the united states and germany, and two goods: beer and motorcycles. suppose that the opportunity cost for the united states to produce 1 beer is 3 motorcycles and the opportunity cost for germany to produce 1 beer is 1/2 motorcycles. which of the following statements is true
The statement opportunity cost for Germany to produce 1 beer is 1/2 motorcycles is true.
The German economy would be better off if it produced beer and traded motorcycles with the US.
Germans would benefit from specializing in producing beer and engaging in trade with the United States since their opportunity cost is lower (1/2 is less than 3).
A country is said to be having a comparative advantage in producing a good if it can produce it at a lower opportunity cost. Germany has a lower opportunity cost in producing beer so it has a comparative advantage in making beer.
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Giving the mid-point as( -4,7 ) and end point 3,8 calculate the other end point justify your answer
The other end point of the line segment is (-11, 6)
Calculating the other end pointFrom the question, we have the following parameters that can be used in our computation:
Midpoint = (-4, 7)
Endpoint 1 = (3, 8)
Represent the other point with (x, y)
using the above as a guide, we have the following:
Midpoint = 1/2(x1 + x2, y1 + y2)
So, we have
1/2(x + 3, y + 8) = (-4, 7)
This gives
(x + 3, y + 8) = (-8, 14)
Evaluate
(x, y) = (-11, 6)
Hence, the other point is (-11, 6)
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for most stocks, a scatter plot chart of stock returns versus past stock returns will appear as: multiple choice a shotgun pattern centered close to the origin. a random pattern mostly concentrated in the top-right and lower-left quadrants. a random pattern mostly concentrated in the upper-left and upper-right quadrants. none of the options.
A scatter plot chart of stock returns versus past stock returns will typically appear as a random pattern mostly concentrated in the top-right and lower-left quadrants.
Describe your answer more in detail?This pattern indicates that there is a positive correlation between past and current stock returns, but there are also instances where current returns are negative despite past positive returns.
The top-right quadrant represents instances where both past and current returns are positive, while the lower-left quadrant represents instances where both past and current returns are negative.
The random pattern indicates that stock returns cannot be predicted with certainty based on past returns alone.
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its a right triangle 20ft and 24ft?
Answer:
a triangle, I'm guessing 20ft and 24 ft on the outsides,
would be:
Equation to get the area of a triangle: (A*B)/2
(20*24)/2=Area
20*24= 480
480/2= 240
area= 240
Answer: 240 ft²
Step-by-step explanation:
1. Multiply the base and the height.
2. Divide the product you get by 2.
=> 20 * 24 = 480
=> 480 / 2 = 240
Michael wants to borrow $12000 for a car loan. Which option would allow him to pay the least amount of interest?
A. A 12-month loan with a 7.25% annual simple interest rate
B. A 18-month loan with a 3.50% annual simple interest rate
C. A 24month loan with a 3.75% annual simple interest rate
D. A 36-month loan with a 2.75% annual simple interest rate
Based on the interest rates available to Michael, the option that would allow him to pay the least interest is B. 18-month loan with a 3.50% annual simple interest rate
How much interest will Michael pay?The interest on the first option is:
= (7.25% x 12,000) x 12/12months in year
= $870
Interest on second loan:
= (3.5% x 12,000) x 18 / 12 months in year
= $630
Interest on third loan:
= (3.75% x 12,000) x 24/12 months in year
= $900
Interest on fourth loan:
= (2.75% x 12,000) x 36/12 months in year
= $990
In conclusion, the 18-month loan with a 3.50% annual simple interest rate gives the lowest rate.
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Consider the function f(x) = 9x^2- 3x + 3
Determine the output produced by the input value x = 3.
Output: F(3) =
Answer:
6x3(067)m
Step-by-step explanation:
uhm do the math
What is the surface area of the triangular prism below? Gray prism 217.84 cm2 318.94 cm2 328.4 cm2 376.24 cm2
The surface area of a triangular prism is A = 92 square units .to solve this use surface area of a triangular prism formula .
what is triangular prism ?
A triangular prism is three-dimensional geometric shape that consists of two parallel triangular bases and three rectangular lateral faces that connect the corresponding sides of the two triangular bases.
In the given question,
The surface area of triangular prism is given by the formula:
A = 2B + Ph
where A is the surface area, B is the area of the triangular base, P is the perimeter of the triangular base, and h is the height of the prism.
To calculate the surface area of the prism, you will need to know the area of the triangular base, the perimeter of the triangular base, and the height of the prism. Once you have these values, you can plug them into the formula above to calculate the surface area.
For example, if the triangular base has an area of 10 square units, a perimeter of 12 units, and the height of the prism is 6 units, then the surface area of the prism would be:
A = 2(10) + (12)(6) = 20 + 72 = 92 square units
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What is x if cos(15%) = x/5?
A. cos(15%)/5
B. cos(75°)
C. 5cos(15%)
D. cos(3⁰)
Which ordered pair is not a solution to this system?
x+y>3
x + 2y > 5
A (2,1)
B. (2,2)
C (2,3)
D. (2,4)
E. (2,5)
Answer:
A (2,1)
\(x + y > 3 \\ x + 2y > 5 \\ \\ a)2 + 1 > 3 \: wrong \\ 2 + 2(1) > 5 \: wrong \\ \\ \)
So, right off the bat, you can tell that the ordered pair (2,1) is most definitely NOT the solution to this system.
Use the growth factor to determine the percent change on the given initial value. The growth factor is shown in parentheses.
1. Given 92(0.63), what is the percent change on the initial value 92?
%Select an answer
2. Given 17(1.45), what is the percent change on the initial value 17?
%Select an answer
3. Given 96(2.14), what is the percent change on the initial value 96?
%Select an answer
1. The percent change on the initial value 92, with a growth factor of 0.63, is -37%.
2. The percent change on the initial value 17, with a growth factor of 1.45, is 45%.
3. The percent change on the initial value 96, with a growth factor of 2.14, is 114%.
To determine the percent change using a growth factor, we subtract 1 from the growth factor, multiply it by 100, and express it as a percentage.
1. For an initial value of 92 with a growth factor of 0.63, the percent change is (0.63 - 1) * 100 = -0.37 * 100 = -37%. This represents a decrease of 37%.
2. For an initial value of 17 with a growth factor of 1.45, the percent change is (1.45 - 1) * 100 = 0.45 * 100 = 45%. This represents an increase of 45%.
3. For an initial value of 96 with a growth factor of 2.14, the percent change is (2.14 - 1) * 100 = 1.14 * 100 = 114%. This represents an increase of 114%.
Therefore, the percent changes for the given initial values and growth factors are as mentioned above.
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You are getting ready to open The Shoe Hut, but you need to need to determine whether you have the absolute or comparative advantage in the production of specific items. This will help you determine which product is the best for specialization.
Your production possibilities are as follows:
• You have the resources to produce up to 15 running shoe inserts.
• You have the resources to produce up to 10 hiking boot inserts.
• For every 2 hiking boot inserts produced, you give up the production of 3 running shoe inserts.
Your production possibilities schedule will help you determine:
• your opportunity costs.
• your best options for production.
1. Using the information that you learned about your ability to produce running shoe inserts and hiking boot inserts, complete your production possibilities schedule. (5 points)
2. Use the information from your production possibilities schedule to create your production possibilities curve by filling in the following graph. Use textboxes to insert text, and use lines and circles from the shapes function to illustrate your production possibilities. Be sure to mark points A through F on the graph. (5 points)
3. Based on the data within your schedule and curve, are you using your resources efficiently? Support your answer using the data presented. (5 points)
4. Based on the information you used to create your schedule and curve, which product would you recommend the Shoe Hut focus on, and why? Provide details that support your answer. (5 points)
A study was begun in 1960 to assess the long-term effects of smoking Cuban cigars. The study was conducted as part of a public health initiative among residents of Ontario, Canada. Five thousand adults were asked about their cigar smoking practices. After 20 years, these individuals were again contacted to see if they developed any cancers, and if so, which ones. This is an example of a A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial A major pharmaceutical company is interested in studying the long-term neurological effects of an anesthetic agent that was discontinued ("pulled off the market") in 2000. The plan is to identify patients who received the drug before it was discontinued (via drug administration records) and assess the outcome of subsequent neurological disorder (from physician office visit records) from the years 2010-2020. An effective study design to attempt answering this question would be A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial Investigators are interested in assessing the prevalence of obesity and diabetes among adolescents. They decide to conduct a survey among high school students during their junior year, asking the students about their current weight and whether they have diabetes, among other questions. This is an example of a A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial
The first scenario described is an example of a retrospective cohort study. The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.
1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.
2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.
3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.
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Find all 3 solutions: 3 − 42 − 4 + 5 = 0
Answer:
Step-by-step explanation:
If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology
The roots are 14.09, 0.30 and -0.39 to nearest hundredth.
tripling the linear size of an object multiplies its area by
Tripling the linear size of an object multiplies its area by a factor of nine.
When the linear size of an object is tripled, the area of the object is multiplied by 9.
This can be understood by considering the relationship between the linear size and the area of an object. If we assume that the object has a regular shape and the linear size refers to the length of its sides, then the area is directly proportional to the square of the linear size.
Let's denote the initial linear size of the object as L and the initial area as A. When the linear size is tripled, it becomes 3L. According to the square proportionality, the new area (A') can be expressed as:
A' = (3L)^2
A' = 9L^2
Comparing A' with the initial area A, we can see that A' is 9 times larger than A. Therefore, tripling the linear size of an object multiplies its area by 9.
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A scale drawing of an office space uses a scale of 1 in : 3yd. The scale drawing has an area of 16 square inches. What is the area of the actual office space in square yards?
Answer:
144 square yards
Step-by-step explanation:
√16 in^2 = 4 in
4 in x 3 in --> yd = 12 yd = 12^2 yd^2
n which of the following pairs do both numbers contain the same number of significant figures? (2.2 □ ) a. 3.44×10 −3
g and 0.0344 g b. 0.0098 s and 9.8×10 4
s c. 6.8×10 3
m and 68000 m d. 258.000 g and 2.58×10 −2
g
Answer:
ok, here is your answer
Step-by-step explanation:
The answer is (d) 258.000 g and 2.58×10^-2g.Both numbers have the same number of significant figures, which is six.The first number, 258.000 g, has three significant figures after the decimal point, and three before the decimal point. The zeros after the decimal point are significant because they are part of a measured quantity.The second number, 2.58×10^-2g, is written in scientific notation. It also has six significant figures because the number 2.58 has three significant figures, and the exponent -2 has two significant figures.-
mark me as brainliesta company determines that its weekly online sales, , in hundreds of dollars, weeks after online sales began can be estimated by . find the average weekly sales for the first 8 weeks after online sales began.
The average weekly sales for the first 8 weeks after online sales began is $2,100.
Plug in the values for x (weeks after online sales began) from 1 to 8 in the equation y = 1.5x + 0.7 to find the estimated sales for each week.
The estimated sales for the first 8 weeks are:
Week 1: $2.2 hundred (or $220)
Week 2: $3.7 hundred (or $370)
Week 3: $5.2 hundred (or $520)
Week 4: $6.7 hundred (or $670)
Week 5: $8.2 hundred (or $820)
Week 6: $9.7 hundred (or $970)
Week 7: $11.2 hundred (or $1,120)
Week 8: $12.7 hundred (or $1,270)
Add up the estimated sales for the first 8 weeks and divide by 8 to find the average weekly sales:
Total estimated sales for first 8 weeks: $10.5 thousand (or $1,0500)
Average weekly sales: $2.1 thousand (or $2,100)
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Consider the vector Pˉ=110iˉN+60jˉN−0.58Pkˉ, where P=∣Pˉ∣. a) The magnitude of Pˉ is P=N. b) The direction cosine of Pˉ with respect to the x− axis is c) The directional angle of Pˉ with respect to the z− axis is
a) The magnitude of Pˉ is P. b) The direction cosine of Pˉ with respect to the x-axis is 110/P. c) The directional angle of Pˉ with respect to the z-axis is arctan(60/√(110^2+(-0.58P)^2)).
a) To find the magnitude of vector Pˉ, we use the formula for the magnitude of a vector in three dimensions, which is the square root of the sum of the squares of its components.
b) The direction cosine of a vector with respect to a specific axis is the ratio of the component of the vector along that axis to its magnitude. In this case, the x-component of Pˉ is 110, so the direction cosine with respect to the x-axis is 110 / P.
c) The directional angle of a vector with respect to a specific axis can be found using the arctan function. In this case, we use the y-component and z-component of Pˉ to find the angle between Pˉ and the z-axis.
Therefore, the magnitude of Pˉ is given by P, the direction cosine with respect to the x-axis is cos(θ_x), and the directional angle with respect to the z-axis is θ_z.
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A hairstylist change $15 for an adult haircut and $9 for a child haircut. She wants to earn at least 360 dollars and cut a maximum of 30 haircuts this week
The graphs represent the hairstylist constants
Which point could represent the numbers of adults and child haircuts the meet the stylist goals
A. 25, 0
B. 15, 20
C. 10,15
Answer:
the correct option is A
Step-by-step explanation:
things you have to remember is no more than 30 haircuts. so b is already eliminated.
do 15 because that's the amount of $$ it is for one adult haircut. 15 x 25 is 375. and need At least $360.
The point that could represent the numbers of adults and child haircuts that meet the stylist goals is 25, 0.
Since the hairstylist change $15 for an adult haircut and $9 for a child haircut, then using 25, 0 will be:
= 15(25) + 9(0)
= 375 + 0
= $375
Therefore, she has earned at least 360 dollars and cut about 25 haircuts this week.
In conclusion, the correct option is A.
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Help meeeee plsssssssssssss
Answer:
Im pretty sure its 27
Step-by-step explanation:
3×3×3
(Oop i did it wrong lolll)
A small town surveyed 250 adults, 180 of whom were parents, about whether a park should be expanded. The results showed that 150 of the adults who were parents and 40 of the adults who were not parents thought the park should be expanded. Use this information to complete the two-way table. Enter your answer by filling in the boxes to complete the table.
Answer:
see attached picture
Step-by-step explanation:
There is no table attached to the question. However from the information given this is what it would look like (see attached picture)
which set of side lengths would form a right triangle
Which equation best models the data shown in the scatter plot?
In the graph of scatter plot, the range of the x axis is minus four to four by increment of one and the range of the y axis is minus seven to one by increment of one. On the x axis minus four, minus two, two, and four are labeled. On the y axis minus six, minus four, and minus two are labeled. On the graph, there are points at (-0.5, -7), (0, -5), (0.5, -4), (1, -3), (1, -1), and (2, 1).
A. y = x − 3
B. y = x − 5
C. y = 3x − 3
D. y = 3x − 5
Answer:
The correct option is;
D. y = 3·x - 5
Step-by-step explanation:
From the graph of the scatter plot created with Microsoft Excel, we have that the first and the last point describe a line of best fit, (with trend line equation included) therefore, we have;
The slope = (1 - (-7))/(2 - (-0.5)) = 3.2
Taking the slope of the line of best fit as approximately equal to 3, we have;
3.2 ≈ 3
The equation of the line in point and slope form is therefore;
y - 1 = 3 × (x - 2)
y = 3·x - 6 + 1
∴ y = 3·x - 5
Answer:
D
Step-by-step explanation:
PLS HELP ASAP :)
Explain pls also!