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3 years ago

9 less than a number can be written as

Mathematics

2 answers:

victus00 [196]3 years ago

8 0

Answer:

x-9

Step-by-step explanation:

less than means negative, or subtraction

if you're taking 9 less than a number, then it would be subtracting 9 from that number

Liono4ka [1.6K]3 years ago

7 0

Answer:

9 less can be written as -9

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Irina-Kira [14]

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A fair coin is tossed three times and the events A, B, and C are defined as follows: A:{ At least one head is observed } B:{ At

kicyunya [14]

Answer:

(a) 1/2

(b) 1/2

(c) 1/8

Step-by-step explanation:

Since, when a fair coin is tossed three times,

The the total number of possible outcomes

n(S) = 2 × 2 × 2

= 8 { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT },

Here, B : { At least two heads are observed } ,

⇒ B = {HHH, HHT, HTH, THH},

⇒ n(B) = 4,

Since,

$\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}$

(a) So, the probability of B,

$P(B) =\frac{n(B)}{n(S)}=\frac{4}{8}=\frac{1}{2}$

(b) A : { At least one head is observed },

⇒ A = {HHH, HHT, HTH, THH, HTT, THT, TTH},

∵ A ∩ B = {HHH, HHT, HTH, THH},

n(A∩ B) = 4,

$\implies P(A\cap B) = \frac{n(A\cap B)}{n(S)} = \frac{4}{8}=\frac{1}{2}$

(c) C: { The number of heads observed is odd },

⇒ C = { HHH, HTT, THT, TTH},

∵ A ∩ B ∩ C = {HHH},

⇒ n(A ∩ B ∩ C) = 1,

$\implies P(A\cap B\cap C)=\frac{1}{8}$

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3 years ago

if you place these marbles in a bag, close your eyes, and choose a marble, what is the probability that it will be

oksian1 [2.3K]

Answer:

P(blue) = 3/7

So '7' belongs in the box

Step-by-step explanation:

There are 14 total marbles, 6 of which are blue. The probability of pulling a blue marble out of the bag is

P(blue) = 6/14, which reduces to 3/7

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lbvjy [14]

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