What is the Gcf of the number below

Mathematics

1 answer:

never [62]3 years ago

7 0

9514 1404 393

Answer:

b. 60

Step-by-step explanation:

The list of factors is 2, 3, 5, 7. The list of common factors is 2, 3, 5. The lowest exponents on those factor are ...

2^2 × 3^1 × 5^1 = 60

The GCF of 720 and 2100 is 60.

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<em>Additional comment</em>

You can verify this using Euclid's method of finding the GCF.

2100/720 = 2 r 660

720/660 = 1 r 60

660/60 = 11 r 0 . . . . 60 is the GCF

Find the remainder from the division. If it is zero, the divisor is the GCF. If it is non-zero, replace the largest number with the remainder, and repeat.

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An insurance company found that 9% of drivers were involved in a car accident last year. If seven drivers are randomly selected,

zzz [600]

Answer: 0.1061

Step-by-step explanation:

Given : An insurance company found that 9% of drivers were involved in a car accident last year.

Thus, the probability of drivers involved in car accident last year = 0.09

The formula of binomial distribution :-

$P(X=x)^nC_xp^x(1-p)^{n-x}$

If seven (n=7) drivers are randomly selected then , the probability that exactly two (x=2) of them were involved in a car accident last year is given by :-

$P(X=2)=^7C_2(0.09)^2(1-0.09)^{7-2}\\\\=\dfrac{7!}{2!5!}(0.09)^2(0.91)^{5}=0.106147867882\approx0.1061$