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Many people consider their smart phone to be essential! Communication, news, Internet, entertainment, photos, and just keeping current are all conveniently possible with a smart phone. However, the battery better be charged or the phone is useless. Battery life of course depends on the frequency, duration, and type of use. One study involving heavy use of the phones showed the mean of the battery life to be 9.75 hours with a standard deviation of 2.3 hours. Then the battery needs to be recharged. Assume the battery life between charges is normally distributed. (a) Find the probability that with heavy use, the battery life exceeds 10 hours. (Round your answer to four decimal places.) (b) You are planning your recharging schedule so that the probability your phone will die is no more than 5%. After how many hours should you plan to recharge your phone? (Round your answer to the nearest tenth of an hour.)
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2 months ago
The table shows the number of medical clinics and the number of bowling alleys in several cities.Clinics 14 1 6 5 10 6 11 8 6 16Bowling alleys 12 3 6 7 7 8 9 15 7 12(A) Create a scatter plot for the data.(B) Which ordered pairs form cluster?(C) Which point is an outlier?(D) What is the liner regression equation?(E) Find the value of the correlation coefficient, r.(F) Find the value of the coefficient of determination, r2.
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2 months ago
Lunch is $4 per person, even for the chaperones.There are 29 students and 6 chaperones are going on the field trip.Which expressions will determine the cost? Choose all that apply.4 + 29 + 64 + (26)(6)4(29 + 6)4(29) + 4(6)
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2 months ago
In your notebook, set up the following subtraction in a vertical format and select the correct answer.Find 2p 2 + 3p - 4 less - 2p 2 - 3p + 4.4p2 + 6p + 84p2 - 6p - 84p2 + 6p - 80
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2 months ago
The data to the right represent the weights (in grams) of a random sample of 50 candies. Complete parts (a) through (f). 0.920.92 0.870.87 0.880.88 0.820.82 0.820.82 0.870.87 0.970.97 0.860.86 0.890.89 0.840.84 0.810.81 0.880.88 0.770.77 0.860.86 0.930.93 0.840.84 0.720.72 0.820.82 0.740.74 0.830.83 0.930.93 0.750.75 0.790.79 0.910.91 0.840.84 0.910.91 0.880.88 0.880.88 0.830.83 0.780.78 0.990.99 0.810.81 0.780.78 0.750.75 0.820.82 0.760.76 0.820.82 0.870.87 0.910.91 0.770.77 0.720.72 0.940.94 0.710.71 0.730.73 0.810.81 0.810.81 0.860.86 0.930.93 0.930.93 0.820.82 (a) Determine the sample standard deviation weight.
General
2 months ago
The probability that a lab specimen contains high levels of contamination is 0.10. A group of 5 independent samples are checked. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that none contain high levels of contamination? (b) What is the probability that exactly one contains high levels of contamination? (c) What is the probability that at least one contains high levels of contamination?
General
2 months ago
Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (6, 6, 7) and use it to approximate the number 6.012 + 5.972 + 6.982. (Round your answer to five decimal places.)f(6.01, 5.97, 6.98) ≈
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2 months ago
NASA performed aerodynamic and acoustic tests of two and three-dimensional airfoil blade sections. These tests were conducted in an anechoic wind tunnel. One input (X) measured was the free-stream velocity, in meters per second. The output (Y ) was scaled sound pressure level, in decibels. From this data, we found the following values: µX = 50.86; µY = 124.8; σXY = 13.44; σX = 15.57; σY = 6.90. (a) Find the value of the correlation coefficient to 3 decimals. (b) Is the linear relationship / association between X and Y strong, weak, or is there no relationship? (c) Is there a positive linear relationship, negative linear relationship, or no linear relationship?
General
2 months ago
Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun control advocates in an urban city believe that the percentage is lower among city residents and conduct a survey. They test the hypotheses H 0: p = 0.52 versus H a: p < 0.52. They calculate a P‐value of 0.078. Using a significance level of 0.05, which of the following is the best explanation for how to use the P‐value to reach a conclusion in this case? Group of answer choices Since the P‐value is greater than the significance level, we reject the null hypothesis. Since the P‐value is greater than the significance level, we fail to reject the null hypothesis. Since the P‐value is greater than the significance level, we accept the null hypothesis.
General
2 months ago
Find the accumulated value of an investment of $ 15 comma 000 for 7 years at an interest rate of 6 % if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly d. compounded continuously. Round answers to the nearest cent. What is the accumulated value if the money is compounded semiannually?
General
2 months ago
Solve the system of linear equations by substitution. Check your solution. 2x + y = 4-3x + y = -1
General
2 months ago
Azster Inc. recorded sales revenue for the year that ended December 31, 2014 as $67,000. Interest revenue of $5,300 and expenses of $14,000 were also recorded for the same period. What is Aster’s net profit or loss? A. net loss of $61,000 B. net profit of $58,300 C. net loss of $53,000 D. net profit of $53,000
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2 months ago
3X squared equals 108
General
2 months ago
Please help ASAP thank you!
General
2 months ago
In a large University, the average age of all the students is 24 years with a standard deviation of 9 years. A random sample of 36 students is selected.a) Determine the standard error of the mean.b) What is the probability that the sample mean will be larger than 19.5?c) What is the probability that the sample mean will be between 25.5 and 27 years?
General
2 months ago
A city's mean minimum daily temperature in February is 22 degrees Upper F. Suppose the standard deviation of the minimum temperature in February is 5 degrees Upper F and that the distribution of minimum temperatures in February is approximately Normal. What percentage of days in February has minimum temperatures below freezing (32 degrees Upper F )?
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2 months ago
A large farm wants to try out a new type of fertilizer to evaluate whether it will improve the farm’s corn production. The land is broken into plots that produce an average of 1,215 pounds of corn with a standard deviation of 94 pounds per plot. The owner is interested in detecting any average difference of at least 40 pounds per plot. How many plots of land would be needed for the experiment if the desired power level is 90%? Assume each plot of land gets treated with either the current fertilizer or the new fertilizer
General
2 months ago
Let A be an mxn matrix. Consider the statement. "For each b in Rm, the equation Ax b has a solution." Because of a fundamental theorem about such matrix equations, this statement is equivalent to what other statements? Choose all that apply. A. The rows of A span Rn. B. Each b in Rm is a linear combination of the columns of A C. The columns of A span R D. The matrix A has a pivot position in each column. E. The matrix A has a pivot position in each row.
General
2 months ago
You ride your bike to campus a distance of 6 miles and return home on the same route. Going to campus, you ride mostly downhill and average 5 miles per hour faster than on your return trip home. If the round trip takesnbsp two hours and nbsp10 minuteslong dashthat is, StartFraction 13 Over 6 EndFraction hourslong dashwhat is your average rate on the return trip?
General
2 months ago
find the sum of first seventeen numbers of an ap whose 4th and 9th tearm are -15 and -30
General
2 months ago
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