Given that in a square, length=width, let the length be L, the perimeter will be:
P=L+L+L+L=4L
but
4L=16x+24
thus the length of one side will be:
L=4x+6
hence the length of the perimeter is (4x+6) units and the width is (4x+6) units.
They are similar but not congruent.
Answer:
Step-by-step explanation:
h(x) = x² - 5x
x² - 5x = 104
x² - 5x - 104 = 0
D = (- 5)² - 4(1)(- 104) = 441 = 21²
= (5 - 21) / 2 =<em> - 8</em>
= (5 + 21) / 2 =<em> 13</em>
<span>Formula: probability = number of positive outputs / total number of possible events
Randomly
picking a green card from a standard deck of playing cards.
A standard deck of playing cards does not have green cards, so the probability is 0.
3. randomly
picking a red card from a standard deck of playing cards
Half of the cards from a standard deck of playing cards are red, so the probability is 0.5.
4. picking a
number less than 15 from a jar with papers labeled from 1 to 12
All the papers have a number less than 15, so the probability of picking a number less than 15 is 1.
5.
picking a number that is divisible by 5 from a jar with papers labeled
from 1 to 12
The numbers divisible by 5 from 1 to 12 are 5 and 10, so there are two positive outputs from a total of 12 possible events and the probabily of picking a number that is divisible by 5 is 2 / 12 = 1/6.
Answr: 1/6.
use the complement to find each probability. (example 3)
8.
what is the probability of not rolling a 5 on a standard number cube?
The probability of rolling a 5 is 1 out of 6 = 1/6
The complement is 1 - 1/6 = 5/6.
Therefore, the probability of not rolling a 5 is 5/6.
9.
a spinner has 3 equal sections that are red, white, and blue. what is
the probability of not landing on blue? 1
The probability of landing on blue is 1 / 3. The complement is 1 - 1/3 = 2/3.
Therefore, the probability of not landing on blue is 2/3.
2. describe an event that has a
probability of 0% and an event that has a probability of 100%.
essential question check-in ??
Rolling a 7 with a standard cube has probability 0%.
Rolling a number different from 7 from a standard cube has a probability of 100%.
10. a spinner has 5 equal sections marked
1 through 5. what is the probability of not landing on 4?
Each section has a probability of 1/5.
So not landing on 4 has a probability of 1 - 1/5 = 4/5.
11. there are
4 queens in a standard deck of 52 cards. you pick one card at random.
what is the probability of not picking a queen?
Picking a queen has probability of 4/52 = 1/13.
The complement is 1 - 1/13 = 12/13.
Therefore, the probability of not picking a queen is 12/13.
</span>
Answer:
A = 502 * e^-(.033 * 68) amount left after 68 rears
A = 502 e^-2.244 = 53.2 grams after 68 years
A2 = 502 e^-(.033 * T) = 251 where T is time for 1 half-life
ln (1/2) = -(.033 * T)
T = -.693 / -.033 = 21.0 years for the half-life
