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14 pictures of family, 8 of pets. 5 of both. How many pictures in all (answer)

Hi Deb,            I like to do these kinds of problems with a Venn diagram. In this case there are two overlapping circles. The common area represents the pictures that are both family and pets of which there are 5. You wee also given that there are 14 family pictures so there must be 14-5...

= 19 days s = 1 day   Z= (x-)/s   1. What is the probability,p, that x<18 or Z<-1 from a table of the cumluative normal distribution we find p=.155 2.Here Z>1which is the same as Z<-1 3. p=0.053990967*0.39894228 = 0.021539279 i.e.. probability Z=-2 times probability...

It's an equation (note the = sign) It's the equation of a straight line slope=-(8/7) and intercept = -(50/7) Does this help you?   Jim

3/x+3 = 12x + 19/x^2 +7x+12 = 5/x+4 = (answer)

Hey Dawn,  I'm going to assume the equation you are trying to solve is:   (3/(x+3)) - ((12x+19)/(x2+7x+12)) - ((5/(x+4)) =0   Notice that the quadratic factors into (x+4)(x+3) now using this as a common denominator gives"   3(x+4)-(12x+19)-5(x+3)/((x+4)(x+3)) = 0  expanding...

HELP! GUESS HOW MANY PAPERCLIPS IN JAR! (answer)

First you have to figure out the volume occupied by one paper clip you were only given basically the length. You need to know the diameter of the wire the the paper clip is made from.   If d is the diameter of the wire in inches and L is the total (unwound) length of the wire then the volume...

the integral is sin-1(x/2) evaluated between 1 and 2 which is an angle whose sine is 1-an angle whose sine is 1/2 which is π/2-π/6=π/3   Regards   Jim

How many of each kind of ticket were sold? (answer)

Kevin,   If we let x=number of activity cardholders and y= the number on non-activity cardholders the we were told that:   x+y=305    total number of tickets sold   and:   1.25x+2.5y=578.75    total revenue from ticket sales. This gives 2 equations with 2 unknowns...

roman armies were divided into groups called what? (answer)

cohorts= 1/10 of a legion

Managerial Accounting. Relevant CostRick Nicotera sells special terra-cotta trays that are perfect for planting in dry climates. The trays have per-unit variabl (answer)

If you sold the 500 units at a price that was equal to the total cost i.e. 19x500 = \$9500 Rick would cove his cost and keep the plant working but would make \$0 margin. I would say this is the minimum price.

Hi Ma,         Lets start with #3 first   you see that the term (x-8) is common (the greatest common factor) to both terms in the expression 6x(x-8)-5(x-8) so if we factor it out we have (x-8)(6x-5)   2. -18a5 -30a3 +24a2    the greatest common factor is 6a2 in this case it's...

If a man rides a rocket-propelled sled that moved down the track at 632mi/h. He and the sled were brought to rest in 1.4s. (answer)

Dana,       A. a=ΔV/Δt where ΔV=0-931.3 = -931.3 ft/sec and Δt=1.4 sec (using 60mph=88ft/sec)      so a=-931.3/1.4 = -665.2 ft/sec2  is the average acceleration of the sled during the slowdown   B. D= V0 t + 1/2 at2 = 931.3x1.4 - .5x665.2x1.42 = 651.9 ft   C.There...

what is -3 1/2 + (+5) (answer)

-3 1/2 + (+5) = -3 1/2 + 5 = 1 1/2   Jim

In half an hour Richar can shave 10 heads, while Nichole can shave 12 in 45 minutes. How many people will have shaved heads after 90 minutes? (answer)

Answer=((10/.5) + (12/.75) X (90/60) = 54 heads   The key is to use a consistent units for time either hours or minutes.   Jim

How much work is done by a 45 N force acting 35 degrees above the horizontal in pulling a block 9 m across a horizontal surface? (answer)

W=F d cos(theta)=45 x 9 cos(35) = 331.76 J   Jim

Find the work necessary to run a football 1 lb? (answer)

The force (weight of the ball) is perpendicular to the displacement (50 m) so the work done is 0 j

how do solve exponential equation (answer)

Hi Bella,        If you take logs of both sides the pesky exponents go away i.e.   Ln((3/5)x ) = Ln(2(1-x))   xLn(3/5) = (1-x)Ln(2) = Ln(2) - Ln(2)x   xLn(3/5)+ xLn(2) = Ln(2)   x = Ln(2)/(Ln(3/5)+Ln(2))=3.85   Hope this helps   Jim...

I do not understand how to linear equations my graphing. I have seen videos of how they do the problem it does not make sense (answer)

Hi Kathy,      I'm assuming that you want to solve the linear equations by graphing; Here's how it goes:   First put the equations in "standard" linear equation form   y=-x+8 y=x-4   Now you get a piece of graph paper, excel or a graphing calculator or grapher if...

how do I write this equation in slope intercept form. -3x+3y greater than or equal to 69 (answer)

Starting with -3x + 3y≥69 we can factor out a 3 and divide both sides of the equation by 3 which gives   -x + y≥23. The slope intercept form is y = mx + b where m is the slope and b is the intercept. Solving our inequality  for y gives    y ≥ x + 23 which is the answer....

When using this group of numbers: 12, 7, 18, 15, 11, 9: what number should be added to the group to give a mean value of 12? (answer)

Kristen Let N=the number to be included in the group then what we want is the new mean to be 12.   The sum (12+7+18+15+11+9+N)/7=12  so solving for N gives   (72+N)/7 = 12 so N = 12   so the new set of numbers is 12,7,18,15,11,9,12   Jim