Answer:
Parallel Lines: If the two linear equations have the same slope (and different y-intercepts), the lines will be parallel. Since parallel lines never intersect, a system composed of two parallel lines will have NO solution (no intersection of the lines.)
Step-by-step explanation:
A survey of 270 young professionals found that one dash eighth of them use their cell phones primarily for e-mail. Can you conclude statistically that the population proportion who use cell phones primarily for e-mail is less than 0.17? Use a 95% confidence interval. The 95% confidence interval is [nothing comma nothing ]. As 0.17 is ▼ within the limits below the lower limit above the upper limit of the confidence interval, we ▼ cannot can conclude that the population proportion is less than 0.17.
Answer:
As 0.17 is below the upper limit of the confidence interval, so we can conclude that the population proportion is less than 0.17.
Step-by-step explanation:
We are given that a survey of 270 young professionals found that one dash eighth of them use their cell phones primarily for e-mail.
Firstly, the Pivotal quantity for 95% confidence interval for the population proportion is given by;
P.Q. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of people who use their cell phones primarily for e-mail = [tex]\frac{1}{8}[/tex] = 0.125
n = sample of young professionals = 270
p = population proportion
Here for constructing 95% confidence interval we have used One-sample z test for proportions.
So, 95% confidence interval for the population proportion, p is ;
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level
of significance are -1.96 & 1.96}
P(-1.96 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.96) = 0.95
P( [tex]-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95
P( [tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95
95% confidence interval for p = [[tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] , [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]]
= [ [tex]0.125-1.96 \times {\sqrt{\frac{0.125(1-0.125)}{270} } }[/tex] , [tex]0.125+1.96 \times {\sqrt{\frac{0.125(1-0.125)}{270} } }[/tex] ]
= [0.08 , 0.16]
Therefore, 95% confidence interval for the population proportion who use cell phones primarily for e-mail is [0.08 , 0.16].
Since, the above confidence interval have values which is less than 0.17; so we conclude that the population proportion is less than 0.17.
What expression represents all solutions to cos(x)=0.15
Answer:
it od domedfg
Step-by-step explanation:
hihihi
Write the answer and solution ?
Answer
4. E
use PEMDAS
5. 36+18=54 so C
plug in x
6. 15=5x
x=3 so C
11. B
break the absolute value into pos and neg components
12.D
is not equal to so open circle
2x=14
2x=8
so 4 and 7 with open circles
Step-by-step explanation:
Based on the box-and-whisker plot shown below, match each term with the correct value.
Answer:
Median = 18
This is the middle line in the box.
Range = 6
This is the difference between the highest and lowest values, 21 - 15.
25th percentile = 17
This is the Q1 value, which is the left side of the box.
75th percentile = 20
This is the Q3 value, which is the right side of the box.
Interquartile range = 3
This is Q3-Q1, which is 20 - 17. This is another way to measure spread.
Find the ratio for sin(-120)
Answer:
- [square root (3) / 2]
Step-by-step explanation:
sin( -120) = sin( -120 + 360) = sin 240 = -sin ( 240-180)
-sin60= - [square root (3) / 2]
Remember Sin is negative in the 3rd quadrant and 240 falls on the 3rd quadrant.
Mia has earned $43.94 in tokens playing games at the amusement center. The store in the amusement center has the following toys for sale. She plans to get toys and donate them to a local charity for needy children. The tokens are only good in this store, so she plans to spend all the tokens. What combinations of toys can she buy in order to spend all the tokens?
Answer:
she will have in the end 1 dollar and four cent after she buys 12 things with her 43.94 dollars
Step-by-step explanation:
so she had 43.94 dollars she can by with it she can buy with it 12 things she can buy a yoyo a doll a duckie a tractor a airplane a ball a racecar a dog a car a elephant and the last thing she can buy is a whistle
If there are 7 values in a data set, which value is the median?
Hello!
Answer:The value that is in the middle of the data set will be the mean. (So, there will be three numbers on the left of it, and three to the right).
Explanation:Let's say the numbers are 7, 9, 3, 6, 2, 1, 5 (Just as an example)
Because the amount of numbers in this data set is seven, it is an odd number. This means to find the median, we simply have to look at the number in the middle of the set. (In this case, that would be six).
Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 26.3 with a standard deviation of 4.9,while the 200 students in group 2 had a mean score of 15.9 with a standard deviation of 2.5.
Determine the 95% confidence interval for the difference in scores, ?1 - ?2: (__, __) (Round the variables to three decimal places as needed.)
A. (9.028, 11.572)
B. (9.328, 11.112)
C. (9.128, 11.102)
D. (9.628, 11.172)
Answer: D
Step-by-step explanation:
The 95% confidence interval for the difference in scores is \left( {9.628,11.172} \right)(9.628,11.172) .
The landing restuarant order 200 flowers for mother day.the orderd carnation at 1.50$,Rose's at 5.75$and the daisies at 2.60$ each. They order carnation mostly and 20 fewer Rose's than daisies. The total orders came $589.50. How many of each type of flower was ordered?
Answer:
She ordered 80 carnations, 50 roses, and 70 daisies.
Step-by-step explanation:
Let x = number of carnations, y = number of roses, and z = number of daisies. This problem gives us three equations.
First, remember that we multiply the price of each flower by the number bought then add up the subtotals, that gives the total amount paid.
Therefore,
1.50x + 5.75y + 2.60z = 589.50
Second, the sum of the numbers purchased is the total bought. Therefore,
x + y + z = 200
Finally, there are 20 fewer roses than daisies. Therefore,
y = z - 20
If you substitute z - 20 in for y in the first two equations, you can rewrite them so they only have x and z.
1.50x + 5.75(z - 20) + 2.60z = 589.50
1.50x + 5.75z - 115 + 2.60z = 589.50
1.50x + 8.35z = 704.50
x + (z - 20) + z = 200
x + 2z - 20 = 200
x + 2z = 220
If you solve the rewrite second equation for x, you get x = 220 - 2z. Therefore, you can substitute 220 - 2z in for x in the rewritten first equation, and then solve for z.
1.50 (220 - 2z) + 8.35z = 704.50
330 - 3z + 8.35z = 704.50
330 + 5.35z = 704.50
5.35z = 374.50
z = 70
If you have z = 70, then x = 220 - 2(70) = 80 and y = 70 - 20 = 50.
She ordered 80 carnations, 50 roses, and 70 daisies.
*HOPE THIS HELPED!!! :D)
What’s the measure of ABC?
Answer quick please!!!
Answer:
ABC = 87°
Step-by-step explanation:
So ABC is x + 32 because the angles are vertical. ABC is also supplementary to ABD so you can make an equation.
3x + 15 = 180
3x = 165
x = 55
ABC = 55 + 32 = 87
please help me with this
Answer:
9x^2 + 12x
Step-by-step explanation:
The area of the blue
3* 3x^2 = 9x^2
The area of the pink is
3* 4x = 12x
Add them together
9x^2 + 12x
h(t)=-5t^2+10t+3 is the height of a diver above the water, t seconds after the diver leaves the springboard. How high above the water is the springboard?
Answer:
3 units
Step-by-step explanation:
So if we want to know how high the spring board is, this will need to be the time at which the diver is still at the top of the board, in this case t = 0 seconds.
So we will need to find h(0)
h(0) = 5(0)² + 10(0) + 3 = 0 + 0 + 3 = 3After the cataract took Euler's sight, he...?
Answer: Wrote more articles and books
Step-by-step explanation:
In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 209. What is the probability that th
Answer:
The probability that the sample proportion will be within 6 percent of the population proportion is 0.9556.
Step-by-step explanation:
The question is:
What is the probability that the sample proportion will be within 6 percent of the population proportion?
Solution:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=p[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
The information provided is:
n = 209
p = 0.75
As n = 209 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the Normal distribution.
[tex]\hat p\sim N(\mu_{\hat p}=0.75,\ \sigma_{\hat p}=0.0299)[/tex]
Compute the probability that the sample proportion will be within 6 percent of the population proportion as follows:
[tex]P(p-0.06<\hat p<p+0.06)=P(0.69<\hat p<0.81)[/tex]
[tex]=P(\frac{0.69-0.75}{0.0299}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.81-0.75}{0.0299})\\\\=P(-2.01<Z<2.01)\\\\=P(Z<2.01)-P(Z<-2.01)\\\\=0.97778-0.02222\\\\=0.95556\\\\\approx 0.9556[/tex]
Thus, the probability that the sample proportion will be within 6 percent of the population proportion is 0.9556.
April’s garden has 42 plants in each row. She has 2 rows of yellow corn and 20 rows of white corn.
SHOW how much yellow corn and white corn has been planted in the garden.
Please answer using complete sentences. Use of diagrams, tables, or charts will increase grade. Be sure to show your expressions and or equations in your explanation.
Answer:
There are a total of 84 yellow corns and
840 white corns planted in the garden.
Step-by-step explanation:
Number of plants in each row = 42
Number of rows of yellow corn = 2
Number of rows of white corn = 20
To find the total number of yellow corns planted in the garden, we need to add the number of plants in each row 2 times.
i.e. 42 + 42 = 84
OR
we can say the following:
Total number of yellow corns planted in the garden = Number of rows of yellow corn [tex]\times[/tex] Number of plants in each row
[tex]\Rightarrow 2 \times 42\\\Rightarrow 84[/tex]
To find the total number of white corns planted in the garden, we need to add the number of plants in each row 20 times.
i.e. 42 + 42 + 42 + ....... + 20 times
OR
we can say the following:
Total number of white corns planted in the garden = Number of rows of white corn [tex]\times[/tex] Number of plants in each row
[tex]\Rightarrow 20 \times 42\\\Rightarrow 840[/tex]
Hence, there are a total of 84 yellow corns and 840 white corns planted in the garden.
Super Dave Osborne stands at the bottom of a canyon elevation 256 feet below sea level, he throws a piano up at a velocity of 320 feet per second the piano lands on the edge of the cliff at zero elevation . The flight of the piano is modeled by the equation f( x ) = −16t2 2 + 320t − 256. The piano was in the air for exactly how many seconds
Answer:
The piano was in the air for 18.34 seconds.
Step-by-step explanation:
The height of the piano after t seconds is given by the following equation:
[tex]f(t) = -16t^{2} + 320t - 256[/tex]
Initially, the piano is below the ground level. At the first root of the equation, it will go into the air, and then some time after that it will fall down again, which is at the second root of the equation.
Roots of a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
[tex]f(t) = -16t^{2} + 320t - 256[/tex]
So
[tex]a = -16, b = 320, c = -256[/tex]
[tex]\bigtriangleup = (320)^{2} - 4*(-16)*(-256) = 86016[/tex]
[tex]t_{1} = \frac{-320 + \sqrt{86016}}{2*(-16)} = 0.8348[/tex]
[tex]t_{2} = \frac{-320 - \sqrt{86016}}{2*(-16)} = 19.17[/tex]
Subtracting:
19.17 - 0.8348 = 18.34
The piano was in the air for 18.34 seconds.
In ΔABC, the measure of ∠C=90°, the measure of ∠A=47°, and BC = 3.5 feet. Find the length of AB to the nearest tenth of a foot.
Answer:
4.8
Step-by-step explanation:
Question 1
1 pts
In you closet, you have 5 T-shirts, 4 pants, and 7 hats. How many different outfits can you make with
these articles of clothing?
Answer:
140
Step-by-step explanation:
So all you have to do is multiply 5 * 4 * 7 to find out how many outfits you can make.
140
Hi if u could help me that would be great, have a nice day!!!
Hey there! I'm happy to help!
-------------------------------------------------------------------
OVERVIEW
Random sampling is when you take a sample of something completely at random. This is done to avoid bias and other stuff like that. It makes the data a lot more pure, real, and factual.
-------------------------------------------------------------------
CHOOSING THE ANSWER
OPTION A: A SCHOOL NEWSPAPER ASKS TEACHERS IN THAT MIDDLE SCHOOL HOW THEY FEEL ABOUT THE BEHAVIOR OF TWELVE YEAR OLD BOYS.
Does this seem very random to you? They're asking all the teachers who work at a certain junior high to talk about twelve year old boys. But, the teachers are definitely going to have some sort of bias towards twelve year old boys because they work with them, and since all of the samples are teachers, this is going to have biased data. Therefore, answer A is incorrect.
OPTION B: A NATIONAL SURVEY COMPANY PICKS ONE PHONE NUMBER FROM EACH AREA CODE IN AMERICA TO CALL AND ASK FOR AN OPINION ON CURRENT POLITICAL ISSUES.
This definitely seems a lot more random. There is only one phone number from each area code and there are many area codes in the United States so you get a bit of what everyone thinks about an issue. There is no bias because there is one random phone number and there are many different places this is done. Therefore, option B is correct.
OPTION C: MIGRANT WORKERS ARE SURVEYED ON THEIR OPINION OF MANDATORY HEALTH INSURANCE FOR COMPANIES.
This is not very random because they are asking a specific group of workers about a company and business ordeal. It is not very random because the migrant workers are specifically being asked, not random people. Therefore, option C is incorrect.
-------------------------------------------------------------------
THE SOLUTION
Therefore, Option B is the correct answer.
I hope that this helps! Have a wonderful day!
Find an equation in slope-intercept form of the line that has slope 9 and passes through point A(-9, -1).
Answer:
y = 9x+80
Step-by-step explanation:
We can use the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = 9x+b
Substitute the point in for x and y
-1 = 9(-9) +b
-1 = -81 +b
Add 81 to each side
-1+81 = b
80 =b
The equation is y = 9x+80
The United States has trained some of the world's best computer programmers and technology experts. Despite all of this training, many businesses do not have a full understanding of information technology. As the importance of technology in the business world grows, many companies are wasting money on extensive technology projects. When problems arise, they expect that further investment will solve these issues. To prevent such problems, many companies have begun to outsource these functions in an effort to reduce costs and improve performance. The majority of these outsourced information technology and call center jobs are going to low-wage countries, such as India and China where English-speaking college graduates are being hired at substantially lower wages. The purpose of this study is to evaluate the positive and negative aspects of offshore outsourcing with a focus on the outsourcing markets in India and China, arguably the two most popular destinations for outsourcers. The cost savings associated with offshore outsourcing will be evaluated in relation to the security risks and other weakness of offshore outsourcing. In addition, an analysis of the number of jobs sent overseas versus the number of jobs created in the United States will be used to assess the effects that outsourcing is having on the American economy and job market. Finally, the value of jobs lost from the American economy will be compared to the value of jobs created. The goal of these analyses is to create a clear picture of this increasingly popular business strategy
A) Answer the following questions about the abstract above:
1) What is a potential hypothesis of the researchers?
2) What is one of the independent variables?
a. What type of variable is the independent variable?
3) What is one of the dependent variables?
a. What type of variable is the dependent variable?
4) What might cause some measurement error in this experiment?
5) What type of research design is the experiment?
a. Why?
6) How might you measure the reliability of your dependent variable?
7) Is this study ecologically valid?
8) Can this study claim cause and effect?
a. Why/why not?
9) what type of data collection did the researchers use (please note that #5 is a different question)?
Step-by-step explanation:
1. Many state students are looking for employment opportunities through outsourced jobs in other countries, since their possibilities have been reduced within their own country.
2.One of the independent variables is outsourced work.
a. a type of moderate independent variable.
3. The analysis of the high demand for outsourcing.
a. Control dependent variable.
4.It is an experimental design.
Because you want to see if the outsourced market really has any effect on the US economy.
6. Possible dependent variables such as the effect on the US market or the creation of new markets, I do not consider to be reliable variables to measure the cause or independent variable.
7.It is ecologically valid in the sense that it allows visualizing a positive impact on a way of working that allows reducing costs in all senses, both monetary and transportation, contributing to the care of nature.
8.I do not consider that cause and effect can be claimed.
a.While the one that exitates this type of outsourced work from many parts of the world, this does not guarantee that it is the only source of income for a person, since these outsourced jobs often represent additional income.
9. Focal groups.
What’s the correct answer for this?
Answer:
B.
Step-by-step explanation:
In the attached file
Answer:
y=-5x+6
Step-by-step explanation:
If you graph each of these equations, the only one that passes through the point (1,1) and is perpendicular to the given line is y=-5x+6.
25
2
In long division
Answer:
..........
Step-by-step explanation:
i don't understand 25 2 ??
The postal service sorts mail as Priority Mail Express, Priority Mail, First-Class Mail, or Standard Mail. Over a period of 3 weeks, 18 of each type were mailed from the Network Distribution Center in Atlanta, Georgia, to Des Moines, Iowa. The total delivery time in days was recorded. Minitab was used to perform the ANOVA. The results follow: Source DF SS MS F P Factor 3 1.30 0.43 1.79 0.157 Error 68 16.45 0.24 Total 71 17.75 Level N Mean StDev Priority Mail Express 18 2.965 0.345 Priority Mail 18 3.044 0.631 First-Class Mail 18 3.296 0.578 Standard Mail 18 3.231 0.341 Using the ANOVA results, compare the average delivery times of the four different types of mail.
Answer:
Here, F = 2.911
F > 2.739502 , so reject null hypothesis ( H0)
There is ample evidence to indicate a disparity in the means for the different forms of mails.
Step-by-step explanation:
Null hypothesis - H₀: μ₁ = μ₂ = μ₃ = μ₄
Alternative hypothesis - H₁: At least one mean is different.
df1 is factor degree of freedom and df2 is error degree of freedom.
Decision rule - Reject H₀ if F > F₀.₀₅, (df1, df2)
F0.05, df1,df2 is f critical value at \alpha = 0.05
Here df1 = 3 , and df2 = 68
Using Excel,
F₀.₀₅, ₃, ₆₈ = FINV( 0.05, 3 , 68 ) = 2.739502302
So reject H0 if F > 2.739502
Here, F = 2.911
F > 2.739502 , so reject null hypothesis ( H0)
There is ample evidence to indicate a disparity in the means for the different forms of mails.
the parent function of the function g(x)
complete the recursive formula of the arithmetic sequence 20,26,32,38
A recursive formula for a sequence expresses the [tex]n[/tex]-th term as a function of the previous one(s).
In this case, you can see that every term is 6 more than the previous one.
So, the recursive formula is "the [tex]n[/tex]-th term is 6 more than the [tex]n-1[/tex]-th term".
In formula, it's written
[tex]a_n=a_{n-1}+6[/tex]
Since the recursion could go back indefinitely, we usually set a starting point, so that the sequence is fully determined:
[tex]\begin{cases}a_0=20\\a_n=a_{n-1}+6\end{cases}[/tex]
The Recursive formula is [tex]a_n[/tex] = 6n - 14
What is Recursive formula?Any term of a series can be defined by its preceding term in a recursive formula (s). For instance: An arithmetic series has the recursive formula a = [tex]a_n[/tex]-1 + d. [tex]a_n[/tex]= [tex]a_{n-1][/tex] r is the recursive formula for a geometric sequence.
Given:
20,26,32,38
First term, a= 20
Common difference, d= 26 -20 = 6
So, The recursive formula is
[tex]a_n[/tex] = a+ ( n-1)d
[tex]a_n[/tex] = 20 + ( n-1) 6
[tex]a_n[/tex] = 20 + 6n - 6
[tex]a_n[/tex] = 6n - 14
Hence, the Recursive formula is [tex]a_n[/tex] = 6n - 14
Learn more about recursive formula here:
https://brainly.com/question/8972906
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The quotient obtained when an integer is divided by its additive inverse is ________________.
Answer: -1
Step-by-step explanation: Let the integer be x
It's additive inverse = -x
= x / -x = -1
One angle of an isosceles triangle measures 120°. Which other angles could be in that
isosceles triangle? Choose all that apply.
Answer:
30 for the other two sides
Step-by-step explanation:
180-120=60
Divide 60 in half to get 30
What is the missing constant term in the perfect square that starts with x 2 − 16 x
Explanation:
Divide the negative 16 by 2= -8
Then square -8
So the missing constant is 64
The perfect square would be (x-8)^2
Write the following polynomial in expanded form (2k-5)^2
Answer:
(2k-5)(2k-5)
Step-by-step explanation:
The exponent of 2 lets us know that the numbers and variables in the parentheses are getting multiplied together twice. E.x: if it was (2k-5)^3, it would have 3 sets of parentheses instead of 2.