Exercice 9: Suppose that the life span of the lamp posts in Ottawa is normally distributed with an average of 80 months and a variance of 800. If we select 15 street lights at random, what is the probability that only 3 of them will last more than 9 years?

Q: A carpenter's enterprise produces tables and chairs. For the construction of a table, 30 meters of…

A: Given A carpenter's enterprise produces tables and chairs. For the construction of a table, 30…

Q: d. Develop an algebraic model for the profit function P(p) = R(p) C(p) e. Identify the domain and…

A: Given a bicycle courier has a fixed delivery cost=$12.50 variable cost= $0.25 C(p)= 12.50+0.25p…

Q: Solve for S2 within using the following: x=27.8; s²= 7.56; N₁ = 1 x₂ = 21.8; s²= 2.92; N₁ = 4 2 x =…

A: Given x¯1=27.8, s12=7.56, N1=4 x¯2=21.8, s22=2.92, N2=4 x¯3=33.5, s32=5.66, N3=4

Q: Danny has 2/3 as many toy cars as Jack. They have a total of 75 toy cars. How many toy cars does…

A:

Q: A biologist has two brine solutions, one containing 4% salt and another containing 20% salt. How…

A:

Q: After using his car for almost a year, Pedro observed that the cost of fuel is equal to the square…

A: Given, Cost of fuel = (running speed)2 Let the running speed be, v, and the cost of fuel be C. C =…

Q: You are designing a fenced-in area in your yard. You have a maximum 50 meters north-south where you…

A: It is given that you have a total of 250 meters of fence and you have a maximum 50 meters…

Q: Josh live 1 4/5 miles from the park. So far he walked 2/3 of the distance from his house to the…

A: Here we have to find out the how many distance josh walk

Q: Two water taps together can fill a tank in (75/8) hours . The tap of larger diameter takes 10 hours…

A:

Q: Megan is taking the bus from New York City to Montreal. The distance is 380 miles and the bus…

A: Given that distance between the cites is 380 miles.Rate at which the bus travels is 76 miles per…

Q: If 3/ 4 is added to three times a number, the result is 1/2 subtracted from twice the number. Find…

A: If 34 is added to three times a number, the result is 12 subtracted from twice the number.

Q: 11. Solve for x: 85 = 323x %3D

A:

Q: Four hoses are filling a huge vat with the perfect limeade. It takes 30 minutes for the 4 hoses to…

A: Given:4 hoses take 30 min to fill the vat. Let us assume, Volume of the vat   = V unitsTime taken to…

Q: Reese is installing an in-ground rectangular pool in her backyard. Her pool will be 30 feet long, 14…

A: Given: Dimensions of the pool Length, L=30 feetBreath, B=14 feetAverage depth, D=8 feetVolume of…

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.