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MATH SOLVE
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Part 1The sixth term of a sequence is 128 and the common ratio is 2. Use the explicit formula for a geometric sequence to findthe first term.Part 2Use the information from Part 1 to write an explicit formula for the nth term of a geometric sequence. Find the 21st termof the sequence.Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Includeall of Part 1 and Part 2 in your answer.
General
4 months ago
Simplify.(4x² – 3x + 2) - (2x² + 5x - 7).
General
4 months ago
Are the following triangles similar? Justify your answer.(sidenote: learning about ratios and proportions!)
General
4 months ago
Which numbers are positive rational numbers? Select all that apply.A. 0.01B. 5/12C. 0D. 4/3E. 0/7F. 9
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4 months ago
A rock is thrown upward from the edge of a bridge and onto a road that is 10 feet below the bridge function h(x)=-x^2+3x+10 gives the height, h, in feet, the rock travels in x seconds from the time it was thrown. When will the rock hit the road?
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4 months ago
Identify all sets to which each number belongs.1) 142) 1 and 5/93) 3.141516...
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4 months ago
1/5 of the population cycle to work. If 2/3 of these cyclists ride mountain bikes, what fraction of the population cycle with mountain bikes to work?
General
4 months ago
A biology class has a total of 45 students. The number females is 9 less than the number of males. How many males and how many females are in class?
General
4 months ago
bill can type 19 words per minute faster than bob. their combined typing speed is 97 words per minute. find bobs typing speedplease help if you can:)
General
4 months ago
r = rmax (1-N/K) i don’t understand??
General
4 months ago
Suppose that engineering specifications on the shelf depth of a certain slug to be turned on a CNC lathe are from .0275 in. to .0278 in. and that values of this dimension produced on the lathe can be described using a normal distribution with mean μ and standard deviation σ . (a) If μ = .0276 and σ = .0001, about what frac- tion of shelf depths are in specifications? (b) What machine precision (as measured by σ ) would be required in order to produce about 98% of shelf depths within engineering spec- ifications (assuming that μ is at the midpoint of the specifications)?
General
5 months ago
How many pounds of peanuts costing $3.60 a pound should be mixed with 4 pounds of cashews costing $4.50 a pound to obtain a mixture costing $3.50 a pound?
General
5 months ago
Suppose we take two different random samples from the same population of test scores. The population mean and standard deviation are unknown. The first sample has 25 data values. The second sample has 64 data values. Then we construct a 95% confidence interval for each sample to estimate the population mean. Which confidence interval will have greater precision (smaller width) for estimating the population mean? A.The confidence interval based on the sample of 64 data values will be more precise. B. Both confidence intervals will have the same precision. C. The confidence interval based on thesample of a5 data valus will b moreprecisa
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5 months ago
In a representative sample of 1000 adult Americans, only 460 could name at least one justice who is currently serving on the U.S. Supreme Court. Using a significance level of 0.01, carry out a hypothesis test to determine if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court. (For z give the answer to two decimal places. For P give the answer to three decimal places.)z=p=
General
5 months ago
A high school teacher hypothesized that in her class, boys were taller than girls. If the probability value of her null hypothesis is 0.34, it means: (A) We failed to reject the null hypothesis (B) Boys were significantly taller than girls (C) Girls were significantly taller than boys (D) Her null hypothesis was rejected
General
5 months ago
-5 3/8 -2 11/12 in simplest form
General
5 months ago
Use the standard norml distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justify your decision. If neither distribution. can be used,explain why. Interpret the results. In a random sample of 23 mortgage institutions,the mean interest rate was 3.65% and the standard deviation was 0.46%. Assume the interest rates are normally distributed. Which distribution should be used to construct the confidence interval? A. Use a normal distribution because the interest rates are normally distributed and σis known. B. Use a t-distribution because it is a random sample, σ is unknown, and the interest rates are normally distributed. C. Use a normal distribution because n < 30 and the interest rates are normally distributed. D.Use a t-distribution because the interest rates are normally distributed σis known. E. Cannot use the standard normal distribution or the t-distribution because σis unknown, n <30, and the interest rates are not normally distributed.
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5 months ago
After a ham is cured it may be smoked to add flavor or to ensure it lasts longer. Typical grocery-store hams are smoked for a short period of time, whereas gourmet hams are usually smoked for at least one month. A random sample of 36 grocery-store hams was obtained, and the length of the smoking time was recorded for each. The mean was hours. Assume σ = 8 hours. a) What assumptions are required so that you can construct a confidence interval? b) Find a 99% confidence interval for the for the mean amount of time a grocery-store ham is smoked. c) Interpret your answer in part b). d) The precision required for someone in the deli who cooks the grocery store hams is a margin of error (half-width) of 2 hours. How large a sample is necessary for this precision?
General
5 months ago
All the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over. After 60 additional boxes arrived and no boxes were removed, all the boxes in the warehouse were arranged in stacks of 14 boxes each, with no boxes left over. How many boxes were in the warehouse before the 60 additional boxes arrived? (1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.
General
5 months ago
Clarice comma Marco comma and Roberto work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names randomly drawn from a hat. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n equals 2. (b) What is the probability that Clarice and Marco attend the conference? (c) What is the probability that Marco attends the conference? (d) What is the probability that Roberto stays home?
General
5 months ago
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