Let X be a discrete binomial random variable.
Let p = 0.267 be the probability that a person does not cover his mouth when sneezing.
Let n = 18 be the number of independent tests.
Let x be the number of successes.
So, the probability that the 18 individuals, 8 do not cover their mouth after sneezing will be:
a) P (X = 8) = 18! / (8! * 10!) * ((0.267) ^ 8) * ((1-0.267) ^ (18-8)).
P (X = 8) = 0.0506.
b) The probability that between 18 individuals observed at random less than 6 does not cover their mouth is:
P (X = 5) + P (X = 4) + P (X = 3) + P (X = 2) + P (X = 1) + P (X = 0) = 0.6571.
c) If it was surprising, according to the previous calculation, the probability that less than 6 people out of 18 do not cover their mouths is 66%. Which means it's less likely that more than half of people will not cover their mouths when they sneeze.
Answer:
1) Multiplying powers with the same base would be product rule. It where you just add the exponents. Dividing powers with the same base would be the quotient rule. Its where you subtract the exponents.
2)Where you multiply the two exponents together
3)The negative law is where for example, if it were in the numerator, then it would be placed at the denominator with a positive exponent whereas if it were in the denominator it would be on the numerator with the positive exponent. The zero law just states the anything to the power to zero is one.
Step-by-step explanation:
1) 3^3 x 3^4 = 3 ^3+4 = 3^7
3^9 ÷3² = 3^9-2 = 3^7
2) (3^2)^2 = 3^2×2 =3^4
3) 1/3^-5 = 3^5 \
3^-7 =1/3^7
2^0 = 1
Answer: x=42
Step-by-step explanation:
Multiply by -6 on both sides and you get
x = 42
Answer:
x = - 27/8
Step-by-step explanation:
¹²⁾x/5 - ¹²⁾1/5 = ²⁰⁾x/3 + ¹⁵⁾1/4
12x - 12 = 20x + 15
- 12 - 15 = 20x - 12x
- 27 = 8x
x = - 27/8
