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:
Step-by-step explanation:
Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = length of time
u = mean time
s = standard deviation
From the information given,
u = 2.5 hours
s = 0.25 hours
We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as
P(2 lesser than or equal to x lesser than or equal to 3)
For x = 2,
z = (2 - 2.5)/0.25 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 3,
z = (3 - 2.5)/0.25 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
P(2 lesser than or equal to x lesser than or equal to 3)
= 0.97725 - 0.02275 = 0.9545
Answer:
alternate interior angles
Step-by-step explanation:
<1 is congruent to <2 by alternate interior angles
Answer:
m=-5/2
Step-by-step explanation:
Solve for x.
