Tutors Answer Your Questions about Equations (FREE)
Question 933854: A team of 2 men and 5 women completed one –fourth of a job in 3 days. After 3 days another man joined the team and they took 2 days to complete another one –fourth of the job. How many men can complete the whole job in 4 days?
Click here to see answer by stanbon(75887)  |
Question 933923: In Country A, the population mean height for 3-year old boys is 39 inches. Suppose a random sample of 15 3-year old boys from Country B showed a sample mean of 38.8 inches with a standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population.
A. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05.
Which of the following correctly states H0 and Ha?
A. H0: u = 39
Ha: u<39
B. H0: u less than or equal to 39
Ha: u <39
C. H0: u = 39
Ha: u >39
D. H0: u = 39
Ha: u does not equal 39
E. H0: u does not equal 39
Ha: u = 39
F. H0: u > 39
Ha: u is less than or equal to 30
Find the test statistic
t= (type an integer or decimal rounded to two decimal places as needed)
Find the p-value
p = (type an integer or decimal rounded to two decimal places as needed)
Reject or do not reject H0?
Thank you
Click here to see answer by ewatrrr(24785)  |
Question 933936: A poll asked for people's opinion on whether closing local newspapers would hurt civic life; 430 of 1001 respondents said it would hurt civic life a lot.
A. Find the proportion of the respondents who said closing local papers would hurt civic life a lot.
(round to three decimal places as needed)
B. Find a 95% confidence interval for the population proportion who believed closing newspaper would hurt civic life a lot. Assume the poll used a simple random sample (SRS) (In fact, it used random sampling, but a more complex method than SRS
(, ) round to three decimal places as needed
C. Find an 80% confidence interval for the population proportion who believed closing newspapers would hurt civic life a lot.
(, ) round to three decimal places as needed
D. Which interval is wider?
Thank you
Click here to see answer by stanbon(75887) |
Question 934110: Sandra saves 10% of her salary for retirement. This year her salary was $2,000 more than in the previous year, and she saved $4,900. What was her salary in the previous year?
Complete the equation.
0.10(x + ____) = 4,900
Sandra's salary on the previous year was _____.
Please fill in the blanks .. Thank You!!
Click here to see answer by Theo(13342)  |
Question 934196: A researcher carried out a hypothesis test using a two-tailed alternative hypothesis. Which of the following z-scores is associated with the smallest p-value.
Z= -0.41 z= 1.48 z= -2.24 z = 2.79
Which z-score has the smallest p value and why?
thank you!
Click here to see answer by stanbon(75887) |
Question 934474: Thank you in advance for your help!!!
Question:
Annilee’s present age is two-thirds of Jessie’s present age. In 12 years the sum of their ages will be 54 years. Find their present ages.
My Attempt:
Let a = Annilee's age
j = Jessie's age
Then Annilee's current age is:
a = 2/3 j
Then 12 years into the future Annilee's age will be:
a = 2/3 j + 12
And Jessie's age will be:
j + 12
With the sum of these two ages equaling 54
Therefore, the equation I worked out was:
2/3(j+12) + (j+12) = 54
3[2/3(j+12)] + 3(j+12) = 3(54)
2(j+12) + 3j + 36 = 162
2j + 24 + 3j + 36 = 162
5j + 60 = 162
5j + 60 - 60 = 162 - 60
5j = 102
5j/5 = 102/5
j = 20.4
Therefore, Jessie's present age is 20.4 years and Annilee's present age is:
2/3 * 20.4 = 13.6 years
I don't think my answer is right. Thank you very much for checking it for me
Click here to see answer by Fombitz(32388)  |
Question 934480: Hi everyone!
Fombitz just kindly solved one of my problems and I wanted to thank him but I couldn't figure out how to write him a thank you note. If anyone could please tell me how to do so it would be greatly appreciated.
Kind regards,
Mark Beaton
Click here to see answer by Fombitz(32388) |
Question 934476: Thank you very much for taking the time to help me!
My question relates to fractional algebra.
Question:
Sydney’s present age is one-half of Marcus’s present age. In 12 years, Sydney’s age will be five-eighths of Marcus’s age. Find their present ages
My Attempt:
Let:
s = Sydney's age
m = Marcus's age
Therefore:
Sydney's current age = 1/2m
In 12 years time:
s = 5/8(m + 12)
m = m + 12
The equation I set up is:
5/8(m+12) = m + 12
8 [5/8(m + 12)] = 8 (m + 12)
5(m + 12) = 8m + 96
5m + 60 = 8m + 96
5m - 8m + 60 = 8m - 8m +96
-3m + 60 = 96
-3m + 60 - 60 = 96 - 60
-3m = 36
-3m/3 = 36/3
-m = 12
m = -12
Obviously this is the wrong answer as an age cannot be negative. Also, the textbook provided me with the answer of 18 for Sydney and 36 for Marcus.
Thank you very much for all your help.
Kind regards,
Mark Beaton
Click here to see answer by rothauserc(4718)  |
Question 934664: Dear sir/madam,
Thank you very much for taking the time to help me.
This is my problem:
The sum of the present ages of Ian and his brother is 45. In 5 years, Ian’s age will be five-sixths of his brother’s age. Find their present ages.
And this is my attempt:
Let: i = Ian's current age
b = Ian's brother's current age
Therefore, the equation for their current ages is:
i + b = 45
And in 5 years time:
(5/6)b + 5 + b + 5 = 45 + 5
(5/6)b + (6/6)b + 10 = 6(50)
5b + 6b + 10 = 300
11b +10 = 300
11b +10 - 10 = 300 - 10
11b = 290
11b/11 = 290/11
b = 26.36
Working this answer back into the original equation I get 58.32 which does not equal 50 (i.e. 45 + 5)
Thank you kindly for you help.
Kindest regards,
Mark Beaton
Click here to see answer by mananth(16946)  |
Question 934701: Two cars each complete a journey of 120 km.
The first car is driven at an average speed of x km/h.
The second car is driven at an average speed 3 km/h faster than the first car.
The first car takes 6 minutes longer to complete the journey.
Write down an equation in x and show that it simplifies to x2 + 3x – 3600 = 0.
Click here to see answer by TimothyLamb(4379)  |
Question 934848: You are given 400 meters of fence and were told to create a rectangular park with the maximum area given the 400 'meters of fence. What dimensions will park have? Create a sketch of park and include all steps used to solve problem to create maximum area by finding a quadratic function for the area and maximizing by finding axis of symmetry for the function. Show all work and clearly label steps
Click here to see answer by josgarithmetic(39616) |
Question 934867: A bowling ball rolled down a lane in 2.5 seconds.The ball traveled at a constant acceleration of 1.8 m/s squared down the lane and was traveling at a speed of 7.6 m/s by the time it reached the pins at the end of the lane. How fast was the ball going initially?
Click here to see answer by Alan3354(69443)  |
Question 935054: A touchdown is worth six points. During the regular 2013 NFL season Joe Flacco score 19 touchdowns. In 2012 he scored 25 touchdowns, and 2011 he score 20 touchdowns. How many points is Joe Flacco scored for the ravens in the past three years
Click here to see answer by TimothyLamb(4379) |
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36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580
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