A batch of tablets has mean drug content of 150 mg with standard deviation of 5 mg. 80% of the tablets have drug content between 10% tablets above and 10% tablets below this range. and mg with

Q: If a sample has a mean of 100 and a standard deviation of 6, what is the value in the data set that…

A:

Q: According to the data from the National Health Survey, the height of all adult American women are…

A: The score is calculated below:

Q: The number of ounces of water a person drinks per day is normally distributed with a stsndard…

A:

Q: The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words…

A: Mean = 125 Standard deviation = 24

Q: The mean for a data set is 75, the standard deviation is 4, and the z score is -0.19, what is the…

A: We have given that,  From the normal distribution with mean (mu) = 75 and standard deviation (sigma)…

Q: The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean…

A: Given that :  Mean = 14 inches S. D = 3 inches Here we use standard normal distribution concept…

Q: The heights of men, in centimetres, are normally distributed with a mean of 175 and a standard…

A:

Q: During 1 week, an overnight delivery company found that the weights of its parcels were normally…

A:

Q: Doug has 1,000 bottle caps in his collection compared to Melissa's 2000 bottle caps. If the average…

A: Given,mean(μ)=1250standard deviation(σ)=500Doug bottle cap collection(X)=1000Melissa's bottle cap…

Q: The mean speed of a sample of vehicles along a stretch of highway is 67 miles per hour, with a…

A: From the provided information, Mean (µ) = 67 miles per hour Standard deviation (σ) = 2 miles per…

Q: A normally distributed set of data has been generated where 50% of the data lies below 97 and 70%…

A:

Q: A radio station claims that the amount of advertising each hour has a mean of 16 minutes and a…

A:

Q: lies

A: Let X be the random variable such that the  daily water usage per person in Quezon City. The daily…

Q: A set of wrist watch prices are normally distributed with a mean of 76dollars and a standard…

A: From the provided information, Mean (µ) = 76 Standard deviation (σ) = 10 X~N (76, 10) Here X be a…

Q: The cruising altitudes for the fleet of one commercial airliner are normally distributed with a mean…

A: It is given that the mean is 34,950 and the standard deviation is 1,800.

Q: the mean weight of a group of boys is 145 lb, with a standard deviation of 4lb. if the weights are…

A:

Q: A set of data items is normally distributed with a mean of 80 and a standard deviation of 9 .…

A: Given A set of data is normally distributed with mean of 80 and standard deviation of 9 and x=71.so,…

Q: A study determined the average amount a person spends on candy during Halloween is $80 with a…

A: Here, μ=80 and σ=15

Q: A particular leg bone for dinosaur fossils has a mean length of 5 feet with a standard deviation of…

A: Given, A particular leg bone for dinosaur fossils has a mean length of 5 feet with a standard…

Q: Suppose the exam average in a class is 48% with a standard deviation of 15. What proportion of…

A:

Q: In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a…

A: Given, Mean = μ =25SD = σ =4

Q: A candy store sells about 8 million pieces of candy per day with a standard deviation of 300,000…

A: Given : Let X : Number candy that they sell in a given day           μ = 8 million i.e   Mean (μ) =…

Q: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: The provided information is:

Q: For a social club, the members had a mean age of 68 and a standard deviation of 10 years.  What is…

A: The mean is 68 and the standard deviation is 10.

Q: During 1 week, an overnight delivery company found that the weights of its parcels were normally…

A: A normal distribution is called a standard distribution if; 1. 68% of the values of the random…

Q: If the weekly grocery expenditure of households in a certain urban market is known to be normally…

A:

Q: The typical college freshman spends an average of ?=150 minutes per day, with a standard deviation…

A: Solution: Let X be the time on social media. From the given information, X follows normal…

Q: The heights of 18 year old men are normally distributed with a mean of 67 inches and a standard…

A: Given information- Population mean, µ = 67 inches Population standard deviation, σ = 3 inches We…

Q: During one season of racing at the Talladega Superspeedway, the mean speed of the cars racing there…

A:

Q: At a college, the mean height of women is 63 inches with the standard deviation of 3 inches. What is…

A: Given,mean(μ)=63standard deviation(σ)=3

Q: Describe  the scores in a sample  that has a standard  deviation of zero

A: If the standard deviation is zero there will be no dispersion of scores from the Mean. It means that…

Q: The height of men in the United states fits with a normal distribution with a mean of 70 inches and…

A:

Q: the mean weight of a group of boys is 145 lb, with a standard deviation of 5lb. if the weights are…

A: We have to find correct answer..

Q: A company produces different types of drinks. It has been observed that the amount of drink in a…

A: Given,meanμ=500standard deviationσ=4.75

Q: The heights of people are normally distributed with a mean of 86 inches and a standard deviation of…

A: X follows a Normal distribution with mean = 86 and S.D = 5 Then z=(x-mean)/SD = (x-86)/5  follows…

Q: The number of text messages that teenagers send per month is normally distributed with a mean of…

A: We have given that  X~N(mu,sigma ^2) mu=3400,sigma =450 and X=4415 Z-socre =(X-mu)/sigma

Q: A grade of 81 in a test in which the mean is 75 and the standard deviation is 12 corresponds to a…

A:

Q: The daily water usage per person in Davao City is normally distributed with a mean of 18 gallons and…

A: Given information: Let X be the random variable denoting the daily water usage per person in Davao…

Q: In a population of 100 male fruit flies, the mean abdomen length is 2.0 mm and the standard…

A: Given  μ=2 and σ=0.3 Use standardization as z=x-μσ

Q: The daily water usage per person in Davao City is normally distributed with a mean of 20 gallons and…

A: Empirical Rule : The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is…

Q: The daily sales at a convenience store have a mean of $1280 and a standard deviation of

A: As given, the daily sales at a convenience store have a mean of $1280 and a standard deviation of…

Q: The annual per capita consumption of bottled water was 33.3 gallons. Assume that the per capita…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12,…

A: It is given that the mean is 70 and the standard deviation is 12.

Q: Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150…

A: Consider the provided data, Number of children = 300 mean, μ=150standard deviation, σ=12 We need to…

Q: Interpret the ­z-score of 1.45 in terms of its relationship to standard deviation as well as the…

A: Solution: From the given information, z=1.45.

Q: If the foot length of women follows a normal distribution and 95% of women have a foot length…

A: Given data: If the foot length of women follows a normal distribution 95% of women have a foot…

Q: A set of laptop prices are normally distributed with a mean of $750 and a standard deviation of $60.…

A: To Determine: A set of laptop prices are normally distributed with a mean of $750 and a standard…

Q: The daily water usage per person in Davao City is normally distributed with a mean of 20 gallons and…

A: Given that, Mean = 20 Standard deviation = 5

Q: for a population with a standard deviation of 8 and mean of 40, draw a bell shaped curve, marking…

A: Given data  Mean = 40 and standard deviation= 8

Q: A set of data items is normally distributed with a mean of 60 and a standard deviation of 9. Convert…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.