P = 2L + 2W, solve for L

Suppose that 35 people are divided in a random mannerinto two teams in such a way that one team contains10 people and the other

Alisiya [41]

To be precise, the size of your sample space is (2410)(2410). This number does go on the bottom of the fraction, and what goes on top is the size of the event. Break up the event into independent events 1. choose the 2 defective bulbs, and 2. choose the remaining 8 bulbs. I don't have much choice in event 1. There is only one way to choose both of the defective balls. In other words, (22)(22) (choosing 2 defective bulbs from a set of 2 defective bulbs). For event 2, there are 24−2=2224−2=22 nondefective bulbs, and I must choose 88 of them, so that's (228)(228). Finally, since events 1 and 2 are independent, we multiply the answers for the combined event: (22)(228)(22)(228)

P=(22)(228)(2410)P=(22)(228)(2410)

Or, since (22)=1(22)=1,

P=(228)(2410)P=(228)(2410)

Hope this helps!

7 0

3 years ago

Points are usually labeled as:

Alex73 [517]

Answer: a capital letter

Explanation: The most basic figure in geometry is called a point.

For example, ·A or ·Q.

Notice that above, points are usually labeled with a capital letter.

8 0

3 years ago

Find (if possible) the complement and the supplement of each angle. (if not possible, enter impossible.) (a) π 10 complement rad

blagie [28]

In this question, we have to find the complement and supplement of the given angles .

Complementary angles are those angles whose sum is 90 degree and supplementary angles are those angles whose sum is 180 degree.

So to find the complement and supplement angles, we need to subtract the given angles from pi/2 and pi respectively .

a.

$\frac{ \pi}{10}
\\
complement \ angle = \frac{ \pi}{2} - \frac{ \pi}{10} \\ = \frac{4 \pi}{10} = \frac{ 2 \pi}{5}
\\
Supplement \ angle = \pi - \frac{ \pi}{10} = \frac{9 \pi}{10}$

b.

$\frac{9 \pi}{10}
\\
Complement \ angle = \frac{ \pi}{2} - \frac{9 \pi}{10} = \frac{-4 \pi}{10} = -\frac{2 \pi}{5}
\\
Supplement \ angle = \pi - \frac{9 \pi}{10} = \frac{ \pi}{10}$

4 0

3 years ago

A package of Big Bubbles Gum has 10 pieces and sells for 2.90. A package of fruity gum has 20 pieces and sells for 6.20. Compare

larisa86 [58]

Answer:

The unit price for the Big Bubbles Gum is 0.29 cents, while the unit price for the fruity gum is 0.31 cents.

Step-by-step explanation:

First identify what you know:

1) A package of Bug Bubbles Wrap, containing 10 pieces of gum, sells for a total of $2.90.

2) A package of fruity gum, with 20 pieces of gum, sells for a total of $6.20.

What is the unit price? The unit price is how much you're selling for a single piece within the package! If you were to buy just one packet, how much would it cost? To calculate this, simply divide the total cost of the package, but the number of units, or rather, pieces!

$2.90/10 = 0.29 cents

$6.20/20 = 0.31 cents

From this, we see that a single unit (piece) of the Big Bubble Gum, is only 29 cents, while a single unit (piece) of the fruity gum is 31 cents. So, it would be a better deal to buy the Big Bubble Gum!

For, twenty of the Big Bubble Gum, you'd buy two packages, for $5.80, which is 40 cents less than one package of 20 pieces of fruity gum!

Hope this helps! :)

6 0

3 years ago

Read 2 more answers

Let f(x) = 5x – 3 and g(x) = -2x + 7. Find f(x) + g(x).

notka56 [123]

f(x) + g(x) = 5x - 3 - 2x + 7

= 3x + 4

Hope this helps! If you have any questions, feel free to ask.

5 0

3 years ago