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Less than 3 means 2 and 1:

Number of accidents for 2: 0.35

Number of accidents for  1: 0.25

So, 0.6/100*100=0.6 

That's exactly what I did ^-^

Yes, it means factorial.  So, let's say the question is asking 7!, or 8!=

So, 7*6*5*....*1

Here's why:

Total number of students in 10th grade that did not eat food served: 47

Total number of students in 10th grade: 63+47=110

Thus, 47/110=0.43 (rounded) 

thx :-)

Lol whoops nvm I got this

x=0 and x=2 I just didn't understand it at first

Personal opinion: I think you will have a much better chance of having your questions answered if they are accompanied by a picture, at least in problems such as this one. If you don't have a diagram for it, you should make some effort in attempting to draw the diagram as much as you understand the problem. No offence and good luck to you.

Not sure if this is entirely correct but...

What is your name? My name is Marco.

How old are you? I am eight years old.

Where are you from? I am from madrid.

Where do you live? I live in Los Angeles.

What day is today? Today is Friday.

What month are we? We are in January.

How is the weather today? Today it's raining.

You like apples? I like them a lot.

Where are you going? To the bakery.

How much is the bread? It costs two euros.

What color is the sky? It's blue.

What color are the flowers? Are of many colours.

Nvm I got it! It's 0.43

Thanks so much! That works just fine!

Ah okay thank you

We have

tan (70 ° )  = height  / base ength

tan (70°)  = height  / 15   multiply both sides by 15

15 * tan (70°)  = height  ≈ 41 ft

I think Rarinstraw just forgot to  change the "mode" button on the calculator  from rads to degrees.....a mistake easily made  !!!

That's right well the way you set it up but 70 and 70 degrees are different. With 70 degrees it would equal 2.74747742*15=41.21216129=41 ft.

8.   We have 12 pens to choose from and 10 highlighters to  choose from

7 of the pens are black    and     8 of the 10 highlighters are  NOT green....so.....

P(Black Pen )  = 7/12

P (Not a Green Highlighter)  = 8/10

So...P (Balck Pen and not a Green Highlighter) =   (7/12) * (8/10)  =  56/120  =  7/15

9. The odd primes are :  3,5,7,11,13, 17  =  6 odd primes

P ( Even or Odd Prime ) = P(Even)  + P(Odd Prime) - P(Even and Odd Prime)  =

                                           10/20    +  6/20   -  0/20 =

                                             16/20  =

                                               4/5 =

                                                 .8

For this, we'll be using the trig. function tangent. 

Tangent is the opposite over the adjacent (TOA)

x=15*tan(70) = x=18.329

The antenna is 18' to the nearest foot. (Rounding 18.3 to the nearest foot brings us to 18)

EDIT: My answer is incorrect, at least if it's in degrees (which it is).

The correct answer is 41'. 

Definitely shows the importance of changing the mode!

10.

Given that the person is a junior is important here. We are ONLY looking at the category of "Junior"

There's a total of 28 juniors surveyed, so the denominator is 28

13/28 = 0.4642857142857143

Rounded to the nearest thousandth, the answer is 0.464 .

11. 

We're looking at 24% of 74%.

(Seems confusing)

Multiply the percents.

0.24*0.74 = 0.1776

Rounded to the thousandth, that's 0.178

Turn it into a percentage, it's 17.8%

Final answer: 17.8%

The "!" in math means that it's factorial.

For example, 7! is the same as 7*6*5*4*3*2*1, which equals 5040.

This one is a litle  tricky, RP

x^2 - 12 x + 49  = 22      subtract 22 from  both sides

x^2 - 12x + 27  = 0        we need two  numbers that su to -12 and multiply to 27...-9 and -3  fit the bill...so we have

(x - 9) ( x - 3)  = 0

Setting these to 0 and solving for x  produces   x  = 9   and  x  = 3

Look at   "A"

If  x = 9, we have     (9- 6)^2  =   3^2  = 9    

And if x = 3 , we have     (3-6)^2  = (-3)^2  = 9

So....that must be the correct  one   !!!!

Does that make any sense.....???

Another way to do this is to expand each answer....note that

(x - 6)^2  = 9   becomes

(x - 6) ( x - 6)  = 9

x^2  - 12x + 36  = 9

x^2 - 12x + 27  = 0    which is the same equation we found initially (in red, above)....so....they must have the same solutions  !!!

6.  We have 18 flower bulbs, at first

So...if a customer buys 4 of them - one of each type - there are 14 left....and 2 lily bulbs remain

So...probability of a lily bulb on the next selection is just    2/14  =  1/7  ≈ 14%

6. Probability of R on the first draw  is  2/5

   Probability of R on the second draw  is  1/4

So....P(Two R's)  =    2/5  * 1/4 =     2/20   = 1/10

1.  Let the width  = W

The length is 6 more than  this  = W + 6

So

Area  = W * L      and the equation becomes

40  = W ( W + 6)

2. We could actually "cheat" at this point and guess the solutions rather easily...but let's do that "boring" math !!!

We have

W(W + 6  ) = 40       simplify

W^2 + 6W = 40

W^2 + 6W  - 40  = 0          we need two numbers that sum to 6 and multiply to -40....10 and -4 seem to work...so we have

(W + 10 ) (W - 4)  = 0

Set each factor to 0 and solve for  W

W + 10  =0                                                                                      W - 4  = 0

W  = -10   (reject...Width has to be positive )                                  W  = 4    this is correct

And the Length is 6 more than this  = 4 + 6  = 10  ft   

4. Experimental probability is just based on the results obtained...so...

P(Heads)  =  44 heads in  70 tosses  =  44/70  = 22/35

5.   Note...that if Teesha  is not considered for selection...the probability of selecting any other person first  is  38/39  and the probability of selecting a second person ( but not Teesha)  is   37/38

So....the total probability  is      38/39 * 37/38   =   (38/38) * (37/39)  =  1 * 37/39  = 37/39

P......the student should have divided by 9 from step 1 to step 2

1.  7!  ways  = 5040   ways

2. P (8, 5 )  = 6720

3. If 16 were green, 64 - 16 =  48 must be some other color....so...the probability of  non-green  is

48 / 64  =  3 / 4  =  75%