Answer:
a) 3⁵5³.
b) 1
c) 23³
d) 41·43·53
e) 1
f) 1111
Step-by-step explanation:
The greatest common divisor of two integers is the product of their common powers of primes with greatest exponent.
For example, to find gcd of 2⁵3⁴5⁸ and 3⁶5²7⁹ we first identify the common powers of primes, these are powers of 3 and powers of 5. The greatest power of 3 that divides both integers is 3⁴ and the greatest power if 5 that divides both integers is 5², then the gcd is 3⁴5².
a) The greatest common prime powers of 3⁷5³7³ and 2²3⁵5⁹ are 3⁵ and 5³ so their gcd is 3⁵5³.
b) 11·13·17 and 2⁹3⁷5⁵7³ have no common prime powers so their gcd is 1
c) The only greatest common power of 23³ and 23⁷ is 23³, so 23³ is the gcd.
d) The numbers 41·43·53 and 41·43·53 are equal. They both divide themselves (and the greatest divisor of a positive integer is itself) then the gcd is 41·43·53
e) 3³5⁷ and 2²7² have no common prime divisors, so their gcd is 1.
f) 0 is divisible by any integer, in particular, 1111 divides 0 (1111·0=0). Then 1111 is the gcd
Answer:
Choice B is correct
Step-by-step explanation:
The Interquartile Range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.
The spread of a data set is a measure of the dispersion or variability of the data set. The spread can be measured by various statistical quantities depending on the nature of the data (skewed or symmetric);
The IQR
Variance
Standard Deviation
Range
A box plot is a graphical representation of the five number summary;
The minimum, first quartile, median, third quartile, and the maximum value in that order.
The IQR is defined as;
third quartile - first quartile
With this definition, the Interquartile Range (IQR) for Florida is;
28 - 17 = 11
while the Interquartile Range (IQR) for Australia is;
14 - 10 = 4
Therefore, the Interquartile Range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.
0.000009054
it’s five zeros after that decimal.
Answer:
147 purple jelly beans
Step-by-step explanation:
15% of 980 is 147
Total number of triangle is 632
With 3 diagonal endpoints are 56
