All categories

3 years ago

What is the GCF of 120, 36

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

6 0

The GCF of 120 and 36 is 12

andrezito [222]3 years ago

4 0

12 is the great common factor in this problem.

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

Find the prime factorization of 36

36 = 2 × 2 × 3 × 3

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 3

GCF = 12

You might be interested in

Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irr

Colt1911 [192]

Answer:

Rational numbers are fractional numbers, whose numerator and denominator are integers and the denominator is ever zero.

Step-by-step explanation:

The sum of rational numbers gives a rational number;

$\frac{1}{3}$ + $\frac{1}{3}$ = $\frac{2}{3}$ , because the evaluation of the denominator always results to a non-zero integer.

The product of $\frac{1}{3}$ x $\frac{1}{3}$ = $\frac{1}{9}$ , which multiply both numerator and denominator to give integer numbers.

The sum and product of rational and irrational numbers are always irrational numbers, for instance,

$\frac{1}{3}$ x 7 = 2.3 , which is a number which decimal points that can only be represented by the product irrational number and rational number , where 7 is an irrational number.

$\frac{1}{3}$ + 7 = 7 $\frac{1}{3}$ , which is a whole number and fractional number combined.

4 0

3 years ago

Show me how to solve .384-.3798

-Dominant- [34]

Answer:

0.0042

Step-by-step explanation:

0.3840

- 0.3798

‐--------------

0.0042

‐--------------

8 0

3 years ago

:Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, us

dlinn [17]

Center skew
And 3.125

8 0

3 years ago

Read 2 more answers

What are 2 answers that can equal 49 in multiplication

jonny [76]

Make a guess and check table to figure out if you do not know it off the top of your head.

The answer is 7 and 7

5 0

3 years ago

Read 2 more answers

A fast food restaurant executive wishes to know how many fast food meals adults eat each week. They want to construct a 98% conf

adelina 88 [10]

Answer:

$n=(\frac{2.326(1.1)}{0.07})^2 =1336.006 \approx 1337$

So the answer for this case would be n=1337 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1.1$ represent the population standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.07 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 98% of confidence interval now can be founded using the normal distribution. And in excel we can use this formula to find it:"=-NORM.INV(0.01;0;1)", and we got $z_{\alpha/2}=2.326$ , replacing into formula (b) we got:

$n=(\frac{2.326(1.1)}{0.07})^2 =1336.006 \approx 1337$

So the answer for this case would be n=1337 rounded up to the nearest integer

3 0

3 years ago