A hat and jacket together cost PHP 100. The jacket cost PHP 90 more than the hat. What are the cost of the hat and the cost of the jacket? Solve using polya's problem solving strategy

Q: Grand Sun Buffet is a large restaurant chain. After paying for a meal at Grand Sun Buffet, customers...

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Q: Express the following probability as a simplified fraction and as a decimal. If one person is select...

A: Given

Q: A box contains 9 plain pencils and 1 pen. A second box contains 3 color pencils and 3 crayons. One i...

A: From the given option we have In first box total items = 9+1 = 10 In second box total items = 3 +3 =...

Q: checkout counter in a store. In how many ways can they line up if the first person in line is a man,...

A: HERE Total 6 persons are there  3 men and 3 women 

Q: In a commercial survey involving 1000 person on brand preference, 120 were found to prefer brand X o...

A: Let X=number of persons who have no brand preferences. Given: X only=120 Y only=200 Z only=150 X or ...

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed ...

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Q: Discrete probability distribution  There is a group of 10 women and 8 men in a small business compa...

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Q: Show complete solution pls In a survey of 300 students of a college, it was found that 49% liked wa...

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Q: Suppose that the random variable z has a standard normal distribution. Sketch each of the following ...

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Q: Which of the following summarizes the sample by a single number that is an estimate of the populatio...

A: Point estimate: The sample by a single number that is an estimate of the population parameter is kno...

Q: 下riday Day of the Week no. of unit sol0 mon tue wed 4 Thu Sat dNT 3 Sunday 3.

A: Solution-: Let, X-be the number of unit sold We have following table: Day of the week X Monday ...

Q: The table shows the distribution, by age, of a random sample of 3150 moviegoers ages 12-74. If one o...

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Q: Out of a group of 60 people, 20 invested in stock market, 35 had certificates of deposit, and 34 had...

A: Let S denote the event of someone investing in stocks, D denote the event of someone investing in de...

Q: If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are...

A: Given:  total nonof cards =52  nonof diamond cards =13  to draw 4 cards then probability that all th...

Q: If we randomly select two coins from Piggy Bank # 3 without replacement, what is the probability the...

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Q: You flip a fair coin twice. X is 2 if the first coin is heads and 4 if the first coin is tails. Y is...

A: Probability of a random variable is computed by dividing the frequency by the sum of frequency. This...

Q: 4. The joint PDF of two continuous random variables X and Y is given by fx+y 0<x<1, 0<y<l f(x, y) =-...

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Q: 5. A coin is tossed 246 times. Use Binomial Distribution to approximate the probability of getting a...

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Q: (Home Work) If P(A)=0.5, P(B)=0.65, P(ANB)C =0.68, draw the Venn diagrams and determine the followin...

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Q: How many arrangements of the letters the word BEAUTIFUL are possible if the arrangement always begin...

A: Given:  How many arrangements of the letters the word BEAUTIFUL are possible if the arrangement alwa...

Q: 2. Suppose that X has a hypergeometric distribution with N= 2,000, K = 800, and n= 200. Find the pro...

A: Hyper geometric distribution : The hypergeometric distribution may be a separate likelihood distribu...

Q: Suppose that the random variable z has a standard normal distribution. Sketch each of the following ...

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Q: 8. Theorem 1.7.4 x -le* dx is convergent if and only if n > 0.

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Q: Problem 3: Attournamento 0) As a preliminary helper result, show by induction that for events E1, E2...

A: Given information: Consider a tournament between N teams, each team playing each of the other teams....

Q: lustration 12.2. The sale of a commodity in tonnes varied from January 1961 to December 1961 in the ...

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Q: Illustration 16.20. If a machine is correctly set up, it will produce 90% acceptable items. If it is...

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Q: d 4 2 5х dx 5x* ) + 3x — 7х +9х + 8

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Q: drawn (after replacement) and this one is also found to be black. What i likely. A ball is drawn at ...

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Q: Question 3 Assuming that births in PGH occur randomly at an average rate of 0.8 births per hour. Wha...

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Q: y = -x|x|

A: Given function y = -x | x |

Q: A convenience store has four available parking spaces. The owner predicts that the duration of custo...

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Q: solution From numbers 1 to 100, what is the probability of getting even numbers that add up (the dig...

A: There are n= 100 We know probability = favorable outcomes /total outcomes are 

Q: What is the total number of possible gate codes?

A: here The gate code to a gated community consists of the # key, followed by 2 letters chosen from the...

Q: elved are tracked using sortware that can tell the e-mali sender when, where, and on what type of de...

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Q: A certain type of storage battery lasts one the average 3.0 years with a standard deviation of 0.5 y...

A: Let X be the random variable from normal distribution with mean (μ) = 3.0 and standard deviation (σ)...

Q: - It is equally probable that the pointer on the spinner shown will land on any one of the eight reg...

A: Let A be the event that points stops at even number  Therefore, A = { 2, 4, 6, 8} And B the event th...

Q: To define: Random shotgun sequencing, bioinformatics, and proteomics.

A: We have to define Random shotgun sequencing, bioinformatics and proteomics

Q: Summarize the difference between an event and a sample space in your own words. Consider the example...

A: Here use basic of sample space and Event 

Q: what should we pay in return each time the sum does not exceed four to make the game fair?

A: Here two dice are rolled  So number of total outcomes = 6×6 = 36

Q: Yt = Bo + B1(x1)e+ ·…+ Bx(Xx)t + Ue, t= 1,..., T, where the regressors 1, x1....,X and errors u sati...

A: Considering multiple linear regression with k-independent variables: yi=β0+β1xi1+β2xi2+....+βkxik+εi...

Q: Calculus: In a certain city, the probability density function for x minutes to be the length of a te...

A: Given function is f(x)=13e-x3      if x≥00                if x&lt;0

Q: If a car agency sells 50% of its inventory of a certain foreign car equipped with an airbag, find a ...

A: P (X = x) = P(x) = nCx Px (1-P)n-x, x = 0, 1, 2,  

Q: A consumer products company is formulating a new shampoo and is interested in foam height (in millim...

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted....  ...

Q: 3. Consider two continuous random variables X and Y with the following joint PD PX.Y(,u)= 0, otherwi...

A: Given,pX,Y(x,y)=32x+12y; 0≤x≤1 , 0≤y≤10;  otherwise

Q: Theorem 1.2.2 (De Morgan formulae) For any two sets A and B, (i) (A U B)' = A'N B' (ii) (AN B)' = A'...

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Q: Exercise 5.4 A lot of 75 washers contains 5 defectives whose variability in thickness is unacceptabl...

A: Probability mass function : A probability mass function (pmf) is a function over the sample space of...

Q: 2-) club officers: If a club consists of 10 members, how many different arrangements of president, v...

A: Given that ; Total A club has 10 members i.e. (n) = 10  Total posts are (r) = 3  By usin permutation...

Q: complete solution pls A bag contains 5 red, 4 white, and 6 blue marbles. Two marbles are drawn with ...

A: A bag contains 5 red , 4 white and 6 blue marbles.total marble=5+4+6=15two marbles are drawn with re...

Q: Upload the picture of your solutions) If you flip a coin 8 times, you get a sequence of Heads (H) a...

A: Given that; If you flip a coin 8 times, you get a sequence of Heads (H) and tails (T)  A coin has tw...

Q: 22. A city with 100.000 residents (45.000 men and 55.000 women). Each year, 1000 people die (600 Men...

A: Mortality rate or death rate is DeathsPopulation*10n

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.