Answer: The probability of getting a prime number exactly five times = 0.1908
Step-by-step explanation:
Prime numbers from 1 to 30 are 2,3,5,7,11, 13, 17, 19, 23, 29.
The probability of getting a prime number p=
Number of trials n = 12
Binomial probability formula:
, where x= number of successes
n= number of trials.
x = Number of successes
p= probability of getting one success.
The probability of getting a prime number exactly five times:
Hence, the probability of getting a prime number exactly five times = 0.1908
(3,61),(13,33)
slope = (33 - 61) / (13 - 3) = -28/10 = - 14/5 = -2.8
y = mx + b
slope(m) = -2.8
use either of ur points....(3,61)...x = 3 and y = 61
now sub into the formula and find b, the y int
61 = -2.8(3) + b
61 = -8.4 + b
61 + 8.4 = b
69.4 = b
so ur equation is : y = -2.8x + 69.4
You need the greatest common factor of the two numbers.
First, we find the prime factorization of each number.
72/2 = 36
36/2 = 18
18/2 = 9
9/3 = 3
3/3 = 1
72 = 2^3 * 3^2
90/2 = 45
45/3 = 15
15/3 = 5
5/5 = 1
90 = 2 * 3^2 * 5
To find the GCF, use only common factors with the lower exponent.
Both 72 and 90 have 2 as a factor. 72 has 2^3, and 90 has 2. 2 has a lower exponent than 2^3, so we use 2.
Both 72 and 90 have 3 as a factor. The both have 3^2, so we use 3^2.
90 has 5 as a factor, but 72 does not, so 5 is not a common factor, so we do not use 5.
The GCF is the product of the factor we use.
GCF = 2 * 3^2 = 2 * 9 = 18
Answer: The greatest number of students he can place in a row is 18.
Answer:
D
Step-by-step explanation:
Area of 1 surface=1×16=16 square units
hence, 16×6=96 square units
Answer:
Step-by-step explanation:
20.29 :)