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2 years ago

? What is the greatest common factor for 12 and 54

Mathematics

2 answers:

Reil [10]2 years ago

7 0

The greatest common for 12 and 54 is 6.

vlabodo [156]2 years ago

3 0

Answer:

The GCF of 12 and 54 is 6.

Step-by-step explanation:

Let's write down all the factors of 12 and 54.

12: 1, 2, 3, 4, 6, 12
54: 1, 2, 3, 6, 18, 27, 54

We can clearly see that the GCF (Greatest common factor) of 12 and 54 is 6.

Hence, the GCF of 12 and 54 is 6.

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An unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6

SIZIF [17.4K]

Answer:

Probability of rolling at least 4 sixes is 0.01696.

Step-by-step explanation:

We are given that an unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6 times.

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......$

where, n = number trials (samples) taken = 6 trials

r = number of success = at least 4

p = probability of success which in our question is probability of

rolling a “six", i.e; p = 0.20

Let X = Number of sixes on a die

So, X ~ Binom(n = 6, p = 0.20)

Now, Probability of rolling at least 4 sixes is given by = P(X $\geq$ 4)

P(X $\geq$ 4) = P(X = 4) + P(X = 5) + P(X = 6)

= $\binom{6}{4} \times 0.20^{4} \times (1-0.20)^{6-4}+\binom{6}{5} \times 0.20^{5} \times (1-0.20)^{6-5}+\binom{6}{6} \times 0.20^{6} \times (1-0.20)^{6-6}$

= $15 \times 0.20^{4} \times 0.80^{2}+6 \times 0.20^{5} \times 0.80^{1}+1 \times 0.20^{6} \times 0.80^{0}$

= 0.0154 + 0.00154 + 0.000064

= 0.01696

Therefore, probability of rolling at least 4 sixes is 0.01696.

8 0

2 years ago

Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer,

polet [3.4K]

let x be the first integer
x+ 2 the second integer ( two consecutive even )

smaller integer added to three times the larger x + 3 ( x+2)
 two less than five times the smaller 5x - 2

x + 3 ( x+2) = 5x - 2

x+3x +6 = 5x -2

x=8
the first integer = 8
the second is x+2 =10

4 0

3 years ago

Peggy earned $20 for each lawn she mowed last summer. This summer, she raised her price to $23 per lawn. What is the percent inc

anyanavicka [17]

Answer:

15 percent

Step-by-step explanation: You will substract the new value from the old value.

23-20

Now you will get the difference between them and divide that by the original amount.

3/20

This will equal 0.15 in which you now multiply by 100

15 percent