Answer:
30
Step-by-step explanation:
We need to find the greatest common factor of 120 and 144.
First, write the prime factorization of both:
120 = 2³×3×5
144 = 2⁴×3²
Both have 2³ and 3 in common, so the GCF is:
GCF = 2³×3
GCF = 24
So the side length is 24 cm. The number of squares along the width is:
120 / 24 = 5
And the number of squares along the length:
144 / 24 = 6
So the number of squares need to fill the entire area is 5×6 = 30. This is the least number of squares with whole-number side lengths that he can use.
Answer:
A. exactly the same as the population mean.
Step-by-step explanation: This demonstration illustrates Rule 1 of the Central Limit Theorem: The mean of the population and the mean of the sampling distribution of means will always have the same value. Thus, the sampling distribution of the mean will have a normal shape, even though the population distribution does not.
To calculate the mean, add up all the values and divide by the number of values. There are two types of arithmetic mean: population mean and the sample mean.
Answer:
Radius = 2.
Step-by-step explanation:
We have been given equation of the circle which is
.
Now we need to find the radius of the given circle
.
To find that let's compare with the formula of the circle with standard equation of the circle
, where r is the radius.
We get 
take square root of both sides.

Hence radius of the given circle is r = 2.
Answer:
c=2
Step-by-step explanation:
the sides of a 30-60-90 right triangle are in the ratio 1:
:2