I need help on these please
1 answer:
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Total number of marbles:
75 + 50 + 100 + 25 = 250
Probability of selecting a red marble:
25/250 (since 25 out of 250 marbles are red)
Since the top and bottom of this fraction are both divisible by 25, we can go ahead and divide them both by 25, simplifying to 1/10.
Probability of selecting a green marble:
50/250
Simplifies to 2/10
Simplifies to 1/5.
Probability of selecting a blue or orange marble
(75+100)/250
175/250
Simplifies to 7/10.
To find the probability that each event occurs in order, simply multiply them all together.
75 + 50 + 100 + 25 = 250
Probability of selecting a red marble:
25/250 (since 25 out of 250 marbles are red)
Since the top and bottom of this fraction are both divisible by 25, we can go ahead and divide them both by 25, simplifying to 1/10.
Probability of selecting a green marble:
50/250
Simplifies to 2/10
Simplifies to 1/5.
Probability of selecting a blue or orange marble
(75+100)/250
175/250
Simplifies to 7/10.
To find the probability that each event occurs in order, simply multiply them all together.
Answer:
C
Step-by-step explanation:
Calculate AC using Pythagoras' identity in ΔABC
AC² = 20² - 12² = 400 - 144 = 256, hence
AC = = 16
Now find AD² from ΔACD and ΔABD
ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²
ΔABD → AD² = 12² - x² = 144 - x²
Equate both equations for AD², hence
256 - 400 + 40x - x² = 144 - x²
-144 + 40x - x² = 144 - x² ( add x² to both sides )
- 144 + 40x = 144 ( add 144 to both sides )
40x = 288 ( divide both sides by 40 )
x = 7.2 → C