Show that for any planar graph, v-e+f=2. v=vertices e=edges f=faces

Q: To study the variability of in a test with grades from 0 to 5, 17 students were drawn from a school ...

A: Maximum=5, minimum=0. Which estimator has variance  minimum, then they have best estimator.

Q: Find the number of permutations of the letters of these words:

A: Here permutations of word committee

Q: A box contains three red marbles and four green marbles. JB picks two marbles at random from this bo...

A:

Q: a. What is the probability that the team sweeps (4-0) the initial best-of-7 playoff series? b. What...

A: Here use binomial theorem  With p = 0.9 q = 1-p = 0.1

Q: A shipment contains 10 items of which 6 are defective. Three items are selected at random. How many ...

A: Given :  A shipment contains 10 items of which 6 are defective. Three items are selected at random. ...

Q: A3. What is the probability of getting at least one “HEAD" if five coins are tossed? ot 0.96875 b) 0...

A:

Q: a) Calculate the total cost of the home, including the down payment. Round your answer to the neares...

A: Here total cost of home includes the down-payment and total no of time mortage pay

Q: Out of 156 Nielsen families surveyed about their viewing habits, 43 felt that television was too vio...

A: We have given that,  Favorable cases (X) = 43 and sample size (N) = 156  Then,  We will find the 99%...

Q: A group of 250 patients was randomly split into two groups of 125 patients. The first group of 125 p...

A: Given : x1= 72.0 n1= 125 x2= 60.0 n2= 125 significance level, 0.05

Q: what is the value of the constant c for plx) to qualify probability mass function? plx) = d if x = 1...

A:

Q: A classroom contains 71 students. 10 of them are Chinese, 24 are Japanese, and 37 are Filipinos. If ...

A:

Q: Find the margin of error for the given values of c, o, and n. c= 0.95, o = 2.7, n= 81 Click the icon...

A: Given,n=81σ=2.7c=0.95α=1-0.95=0.05α2=0.025Z0.025=1.96   (from Z-table)

Q: How many such coupon codes can be generated?

A:

Q: State whether the standardized test statistict indicates that you should reject the null hypothesis....

A: Solution According to guidelines we solve three subparts  

Q: In a deck of 52 cards, find the probability of getting an ace or a heart if one card is picked at ra...

A:

Q: how many four digit numbers can be formed if all the digits are odd numbers and each digit can be us...

A: Using the 10 digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, here 4 digit numbers are formed in which all di...

Q: a city council with six members must elect a four-person executive committee consisting of a​ mayor,...

A:

Q: We draw two random cards with replacement, that is after we draw the first card (and examine it) wer...

A:

Q: ble with mean 20 and 22 and less than 24? Question 11 Role-playing games like Dungeons & Dragons use...

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take c...

Q: In designing a new home entertainment​ center, there is a choice of 5 different​ TVs, 6 different​ a...

A: The combination formula is

Q: Mid-West Publishing Company publishes college textbooks. The company operates an 800-telephone numbe...

A:

Q: Tonia borrowed $4,500.00. She paid $137.71 each month for 3 years. Ouestion 1 100 Question 2 100 How...

A: Here borrowed amount = 4500 And total no of monthly payments  = 3×12 =36  

Q: A survey has shown that on average, 1 person in 1000 makes a mistake on leaving their belongings una...

A:

Q: Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You colle...

A: GIven, 2.8, 2.5, 3, 2.4, 2.4, 2.4, 2.6, 2.6, 2.1, 2.7, 3    

Q: Consider the experiment where you toss five coins at the same time, record the number of heads. Repe...

A: Given information: Five coins are tossed at the same time.

Q: The random variable X has density fx (x) = ax? +b for 0 0.4) =

A:

Q: In the mid-afternoon a restaurant receives orders such that the time between them follows an exponen...

A: Solution

Q: Theus Comfany xy know for me DUA player. It producs That replacemet times 6. he are pormally destiba...

A: Given : Population Mean = μ = 9.2 Population standard deviation = σ = 0.8 We need to calculate x suc...

Q: Ming financed the total cost of his new car, $13,600.00. His credit union gave him an annual simple ...

A: HERE GIVEN PRINCIPLE=P=13600 INTEREST RATE=R=4.5% NO OF YEARS=N= 4 YEARS

Q: Given mean and standard deviation, motivation scores are 65 and 5, respectively, calculate the proba...

A: Given,mean(μ)=65standard deviation(σ)=5

Q: ) THE PROBABILITY DENS ITY OF THE CONTINUOUS 1RANDON VAeMBLE GNEN BY for 2<x<7, f(x) = } 5 elsewhere...

A:

Q: Testing: Ho:p = 0.84 H1:p > 0.84 Your sample consists of 111 subjects, with 91 successes. Calculate ...

A:

Q: Five marbles are to be chosen at random from 8 red marbles and 5 yellow marbles. Find the probabilit...

A: Given that Number of red marbles = 8 Number of yellow marbles = 5 Total number of marbles = 13 Sampl...

Q: Sketch Types and Pricing Landscape ($2 cach) Animal ($4 each) Portrait ($10 cach) Each = 2 sketches ...

A:

Q: a) What is the principal of her mortgage? Principal b) How much interest will she pay over the life ...

A: Here given mortage details 

Q: A multiple test of 8 questions  4 possible answers ,1 is correct what is the probability of getting ...

A:

Q: 8. True or False: (justify/explain your answer) (a) With a large random sample, the sample histogram...

A: Solution  

Q: ) IF X HAS THE PROBABILITY DENSITY -3x ке for X>O f(x) ekewhere, FIND K AND PCO.5< x<).

A:

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you wi...

A:

Q: From a coin box containing 4 dimes and 2 nickels,3 coins are selected at random with replacement aft...

A:

Q: What is the remainder when 15^20 is divisible by 13? Note: 15^20 means "15 raised to the 20th power"

A: Solution Remainder is 9  

Q: Use the following information to answer the question. The mean age of lead actors from the top ten g...

A: Given,sample size(n)=10sample mean(x¯)=36.4standard deviation(s)=9.87degrees of freedom(df)=n-1df=10...

Q: Let "X" denote the tensile strength of a variety of metal samples with unit 107 Pa. Solve for the me...

A: Solution  

Q: HA is a normal random variable with parameters u = 3 and o? = 9. Use the standard table and R to fin...

A: We want to find the probability by using R

Q: Two events, A and B are such that P(A) = 0.2, P(B) =0.4 and P(A U B) = 0.52 a. Find P(A' N B') b. De...

A: Given information: PA=0.2PB=0.4PA∪B=0.52 a) PA'∩B'=1-PA∪B                  =1-0.52                 =...

Q: What is P(X =2)?

A: Tweet,  a quality control engineer of a large computer firm, inspects a large shipment of printed ci...

Q: Decide whether the normal sampling distribution can bê used. If it can Be Used, test the claim about...

A: Given datap&lt;0.09α=0.10p^=0.06n=50

Q: n the table below: 2 3 p(x) | k|10.2 0.1 4+

A: i). We have X-discrete random variable.PMF refers to the probabilities of all the possible values of...

Q: An article suggests that substrate concentration (mg/cm) of influent to a reactor is normally distri...

A:

Q: PMI is based on the amount of money you borrow. Each year, your PMI cost is 0.56% of the amount you ...

A: Here borrowed amount  = 420000 And pmi cost per year is 0.56% of borrowed amount