All categories

3 years ago

8. What is the prime factorization of 120?

Mathematics

2 answers:

guajiro [1.7K]3 years ago

7 0

Answer:

3 x $2^{3}$ x 5 = 120

Step-by-step explanation:

Use the factorization tree to answer this question.

shutvik [7]3 years ago

3 0

Answer:

120 is a composite number. 120 = 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24, 6 x 20, 8 x 15, or 10 x 12. Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Prime factorization: 120 = 2 x 2 x 2 x 3 x 5, which can also be written 120 = 2³ x 3 x 5.

You might be interested in

Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and th

Marizza181 [45]

Answer:

$\mu = 8.8\\\sigma = 1.9$

Now we are supposed to find probabilities that the response time is between 5 and 10 minutes i.e P(5<x<10)

Formula : $z= \frac{x-\mu}{\sigma}$

at x = 5

$z= \frac{5-8.8}{1.9}$

$z=-2$

at x = 10

$z= \frac{10-8.8}{1.9}$

$z=0.6315$

P(-2<z<0.6315)=P(z<0.6315)-P(z<-2)

Refer the z table

P(-2<z<10)=0.7357-0.0228=0.7129

So, the probability that response time is between 5 and 10 minutes is 0.7129

b)the response time is less than 5 minutes

at x = 5

$z= \frac{5-8.8}{1.9}$

$z=-2$

P(x<5)=P(z<-2)=0.0228

So, the probability that the response time is less than 5 minutes is 0.0228

c)the response time is more than 10 minutes

at x = 10

$z= \frac{10-8.8}{1.9}$

$z=0.6315$

P(x>10) = 1-P(x<10) = 1-P(z<0.63) = 1-0.7357 = 0.2643

So, The probability that the response time is more than 10 minutes is 0.2643

4 0

3 years ago

Simplify the expression 4x(2x2 − 7x + 3). This one is killing me..

Papessa [141]

$Use:\\distributive\ property:a(b+c)=ab+ac\\commutative\ property:a\cdot b=b\cdot a\\assiocative\ property:a\cdot(b\cdot c)=(a\cdot b)\cdot c\\and\ a^n\cdot a^m=a^{n+m}\\-----------------------\\\\4x(2x^2-7x+3)=(4x)(2x^2)+(4x)(-7x)+(4x)(3)\\\\=(4\cdot2)(x^1\cdot x^2)-(4\cdot7)(x^1\cdot x^1)+(4\cdot3)(x)\\\\=8x^{1+2}-28x^{1+1}+12x\\\\=\boxed{8x^3-28x^2+12x}$