If the sample size is multiplied by 4, what happens to the standard deviation of the distribution of sample means?

1 answer:

6 0

Increasing the sample size by a factor of 4 or multiplying it by 4 is equal to increasing the standard error by 1/2. Therefore, the interval will be half as varied. This also works almost for population averages as lengthy as the multiplier from the t-curve doesn't modify much when increasing the sample size.

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4. Find the LCM of the following numbers using prime factors:

Vadim26 [7]

Answer:

The least common multiple of 6, 15 and 40 is 120.

The least common multiple of 32, 48 and 72 is 288.

The LCM of 20 and 24 is 120.

The LCM of 30 and 90 is 90.

The LCM of 150 is 900.

Step-by-step explanation:

Steps to find LCM

Find the prime factorization of 150. 150 = 2 × 3 × 5 × 5.
Find the prime factorization of 180. 180 = 2 × 2 × 3 × 3 × 5.
LCM = 2 × 2 × 3 × 3 × 5 × 5.
LCM = 900.

5 0

3 years ago

The sides of ∆ABC are 30 units, 40 units, and 60 units long. The corresponding sides of ∆XYZ are r times as long as the sides of

san4es73 [151]

Part a) Find the expression that gives the perimeter of ∆XYZ

we know that

Perimeter of triangle ABC is equal to

$P=30+40+60\\ P=130\ units$

In this problem ∆ABC and ∆XYZ are similar triangles

the scale factor is equal to r

$scale\ factor=r \\ \\ scale\ factor=\frac{perimeter\ triangle\ XYZ}{perimeter\ triangle\ ABC} \\ \\ perimeter\ triangle\ XYZ=perimeter\ triangle\ ABC*scale factor\\ \\ perimeter\ triangle\ XYZ=130*r$

therefore

the answer Part a) is

The expression that gives the perimeter of ∆XYZ is $130*r\ units$

Part b) Find the expression that gives the area of ∆XYZ

we know that

$Area\ of\ triangle\ ABC=n\ units^{2}$

$scale\ factor=r \\ \\ scale\ factor^{2}=\frac{Area\ triangle\ XYZ}{Area\ triangle\ ABC} \\ \\ Area\ triangle\ XYZ=Area\ triangle\ ABC*scale factor^{2}\\ \\ Area\ triangle\ XYZ=n*r^{2}\ units^{2}$