The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.

We are given the algebraic expression;

(3 x y * 4x²y * ¹/₁ * 5x³y ^ z * 4)7a * 1/1 * 7*6

Expanding this further gives;

⁴⁹/₆a((3xy * 4x²y * 20x³y ^ z )

Now, the GCF of the terms inside the bracket would be x y. Thus, expanding the GCF we have;

⁴⁹/₆a xy((3 * 4x * 20x²y^(z - 1))

Read more about G.C.F at; brainly.com/question/219464

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5 0

1 year ago

a coin is tossed, then a letter in the word accomplishment is chosen at random. find the probability of heads, then a vowel

emmasim [6.3K]

Answer:

$\frac{5}{52}$

Step-by-step explanation:

Coin toss:

$Total\ outcome=\{H,T\}\\\\Favourable\ outcome=\{H\}\\\\P(Head)=\frac{Favourable\ outcome}{Number\ of\ total\ outcome}\\\\P(Head)=\frac{1}{2}$

Letter Selection:

$Number\ of\ total\ outcomes=26\ \ \ \ \ \ \ as\ total\ letters\ are\ 26\\\\Favourable\ outcomes=5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ as\ there\ are\ 5\ vowels\\\\P(vowel)=\frac{Favourable\ outcomes}{Number\ of\ total\ outcomes}\\\\P(vowel)=\frac{5}{26}$

$These\ two\ events\ are\ independent.\\\\Hence\ probability\ of\ head\ and\ then\ vowel=\frac{1}{2}\times \frac{5}{26}=\frac{5}{52}$

4 0

3 years ago

Please help find mDF!!

Natalka [10]

9514 1404 393

Answer:

72°

Step-by-step explanation:

The external angle E is half the difference of subtended arcs CG and DF.

E = (CG -DF)/2

2E = CG -DF . . . . . . multiply by 2

DF = CG -2E = 160° -2(44°) . . . . . add DF-2E to both sides; substitute values

arc DF = 72°

4 0

2 years ago